The bricks on the warehouse of the museum are crumbling. The community needs to hire a contractor

to replace the bricks with siding because it is more cost efficient. You have chosen the siding that will

replace the bricks. Each piece of siding is 4 ¾ inches x 24 inches. Estimate the cost to replace the

brick with siding with siding priced at 22.65 a piece.

The Warehouse

sides:

17ft

25ft



33ft

A. Determine the surface area of the warehouse.

B. What is the area of the surfaces that need siding? Justify your reasoning.

C. How many pieces of siding need to be purchased? Justify your reasoning.

D. What is the approximate cost of siding that will be needed to cover the outside of the

warehouse? Justify your reasoning.

Answers

Answer 1

Answer:

Step-by-step explanation:

here is a step by step answer:

A. To determine the surface area of the warehouse:

Identify the dimensions of each side of the warehouse. In this case, we know that the sides are 17 ft, 25 ft, and 33 ft in length, and the height is 10 ft.

Calculate the area of each side by multiplying the length and height. For example, the area of the first side is 17 ft x 10 ft = 170 sq ft.

Add up the areas of all the sides to get the total surface area of the warehouse. In this case, the total surface area is 170 + 250 + 330 = 750 sq ft.

B. To determine the area of the surfaces that need siding:

Since all sides of the warehouse need to be covered with siding, the area of the surfaces that need siding is equal to the total surface area of the warehouse. In this case, we calculated the total surface area to be 750 sq ft.

C. To determine how many pieces of siding need to be purchased:

Identify the size of each piece of siding. In this case, we know that each piece of siding is 4 ¾ inches x 24 inches.

Convert the size of each piece of siding to square feet. To do this, we can divide the length and width by 12 to convert to feet, and then multiply the two dimensions to get the area. In this case, 4 ¾ inches is approximately 0.3958 feet, and 24 inches is 2 feet, so the area of each piece of siding is approximately 0.7916 sq ft.

Divide the total surface area of the warehouse by the area of each piece of siding to get the number of pieces needed. In this case, we calculated that the total surface area is 750 sq ft, and each piece of siding covers approximately 0.7916 sq ft. So, the number of pieces needed is 750 sq ft ÷ 0.7916 sq ft/piece = 946.84 pieces. We must round up to the nearest whole number because we can't purchase a fraction of a piece of siding. So, we need to purchase 947 pieces of siding.

D. To determine the approximate cost of siding needed to cover the outside of the warehouse:

Identify the price per piece of siding. In this case, we know that the siding is priced at $22.65 per piece.

Multiply the number of pieces of siding needed by the price per piece to get the total cost of siding. In this case, we calculated that we need 947 pieces of siding, so the total cost of siding is 947 x $22.65 = $21,465.55. So, the approximate cost of siding needed to cover the outside of the warehouse is $21,465.55.


Related Questions

The conjugate of 145+ 145/3

Answers

Answer:

193 1/3

Step-by-step explanation:

First, we need to convert [tex]\frac{145}{3}[/tex] into a mixed number.

[tex]\frac{145}{3}[/tex] = [tex]48[/tex] [tex]\frac{1}{3}[/tex]

Now, we can add them together:

[tex]145 +48\frac{1}{3} = 193 \frac{1}{3}[/tex]

Therefore, the answer is [tex]193\frac{1}{3}[/tex].

HELPPPPP

i need the answer for this today

Answers

Answer:

Below

Step-by-step explanation:

The quations are both equal to 'y'  so the equations are equal

5x-10 = -3x+ 14

8x = 24

x = 3     <====== use this value of 'x' in one of the equations to calculate y

y = 5x-10

y = 5(3)-10 = 5  

Which best describes the rate at which Mandy used up her bags of dog food?


OA. 6 bags per day
OB. 2/3 bags per day
OC. 4 bags per day
OD. 3/2 bags per day

Answers

The rate at which Mandy used up her bags of dog food is 2/3 bags per day

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Slope = change in y /change in x

Here,   Slope = change in bags of food/ /change in days

form the graph = 4/6  = 4  bags per 6 days

4/6 simplifies to 2/3

=>  2/3 bags per day

The rate at which Mandy used up her bags of dog food is 2/3 bags per day

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[7] Which country is known as the ‘Land of Thunderbolts’?
(A) China

(B) Bhutan

(C) Mongolia

(D) Thailand












































IAS CHINADU KUMAR KHAN

Answers

Answer: CHINA

Step-by-step explanation:

IAS CHINADU

Answer:

Bhutan is the answer.

Solve for l if V = 120 w = 5 and h = 4

Answers

Answer:

The value of l is 48. The formula to calculate volume (V) is V = l * w * h, so we can rearrange the equation to solve for l, or l = V/(w * h). In this case, l = 120/(5 * 4) = 48.

Answer:

125

Step-by-step explanation:

w

An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 35, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects, (a) What is the probability that exactly 10 of these are from the second section? (Round your answer to four decimal places.) (b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.) (c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.) (d) What are the mean value and standard deviation of the number among these 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean projects standard deviation projects (e) What are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean projects standard deviation projects Need Help? Read It Watch It Master it Submit Answer TO.2/1.2 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 3.E.072. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A personnel director interviewing 9 senior engineers for five job openings has scheduled seven interviews for the first day and two for the second day of interviewing. Assume that the candidates are interviewed in a random order. (a) What is the probability that x of the top five candidates are interviewed on the first day? 0 hộ; 2, 5, 9) Ohx; 2, 9, 5) OhN; 7, 9, 5) Ohx; 7,5,9) (b) How many of the top five candidates can be expected to be interviewed on the first day? (Round your answer to two decimal places.) candidates Need Help? Read it 1-/3 Points] DETAILS DEVORESTAT9 3.E.078. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y, (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.382 for this random variable. (Round your answers to three decimal places.) (a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals? exactly 3 intervals at most 3 intervals (b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?

Answers

(a) The probability that exactly 10 of the first 15 graded projects are from the second section can be calculated using the binomial probability formula:

P(X = 10) = (15 choose 10) * (35/60)^10 * (25/60)^5 = 0.0361

(b) The probability that at least 10 of the first 15 graded projects are from the second section can be calculated by summing the probabilities for 10, 11, 12, 13, 14, and 15:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0361 + 0.0132 + 0.0035 + 0.0007 + 0.0001 + 0.0000 = 0.0536

(c) The probability that at least 10 of the first 15 graded projects are from the same section can be calculated by summing the probabilities for 10, 11, 12, 13, 14, and 15 from both sections:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0361 + 0.0132 + 0.0035 + 0.0007 + 0.0001 + 0.0000 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0556

(d) The mean value and standard deviation of the number among these 15 that are from the second section can be calculated using the formulas for the mean and standard deviation of a binomial distribution:

mean = np = 15 * (35/60) = 8.75
standard deviation = sqrt(np(1-p)) = sqrt(15 * (35/60) * (25/60)) = 1.568

(e) The mean value and standard deviation of the number of projects not among these first 15 that are from the second section can be calculated using the formulas for the mean and standard deviation of a binomial distribution, with n = 45 (the remaining number of projects) and p = 35/60 (the probability of a project being from the second section):

mean = np = 45 * (35/60) = 26.25
standard deviation = sqrt(np(1-p)) = sqrt(45 * (35/60) * (25/60)) = 2.714

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A water company uses the function T = 35 + 0.003w to calculate each customer’s monthly water bill, T, where w is the number of gallons of water used. Which statement describes the slope of the function?

Customers are charged $35.00 each month.

Customers are charged $0.003 per gallon of water used.

Customers are charged 0.003 of a cent each month.

Customers are charged $35.003 per gallon of water use

IF YOU SPAM I WILL REPORT YOU IMMEDIATELY AND I PERSONALLY WILL BAN YOU IMIDEATLEY IF CORRECT I WILL GIVE THE BRAINLIEST. GOOD Luck.

Answers

Answer:

Customers are charged $0.003 per gallon of water used.

Step-by-step explanation:

In the given function, T = 35 + 0.003w, the coefficient of w (which is 0.003) represents the rate at which the total cost (T) increases per unit increase in the amount of water used (w). In other words, it is the cost per gallon of water used.

Therefore, the slope of the function is 0.003, and it represents the rate of change of the cost with respect to the amount of water used. Each additional gallon of water used will increase the monthly bill by $0.003.

Which statement BEST matches the image. Cannot be used more than once.
>
>
soda
soda
soda
A

orange juice
A
orange juice
. A
1. Inefficient / Underutilization
2. Impossible / Unobtainable
3. Technological advances in
production
4. Efficient Production

Answers

Financial plan - The cost of a jug of squeezed orange is $2.00 and the cost of pop is $1.00. These information propose that Sharon is augmenting her utility from the given fixed spending plan

What is financial plan make sense of?

A written financial program offers you a quantifiable objective to strive for. By monitoring your progress, you can eliminate doubt or uncertainty regarding your choices and make necessary adjustments to help you get past potential roadblocks.

Budgeting is the most crucial first step in financial planning. Making a budget is fairly simple; keeping one is more challenging! What matters is having the self-control to take the time as well as care to track and reconcile your spending in some way.

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The vertices of a rectangle are at (-4,2),(3,2),(3,-2), and (-4,-2). What is the length of the longer side of the rectangle?

Answers

The longer side of the rectangle is the side that connects the points (-4,2) and (3,2), which have the same y-coordinate, so it is a horizontal line.

The length of this side is the distance between the x-coordinates of these two points, which is:

3 - (-4) = 7

Therefore, the length of the longer side of the rectangle is 7 units.

The bakery uses 7 eggs to make a cake. If they have 380 eggs how many cakes can hey make?​

Answers

Answer:

54.2 cakes

Step-by-step explanation:

divide 380 by 7 and you'll get 54.2 as your answer

Just need help with this question..

Answers

Graph appears to intersect the X axis in between 20 and 22 and algebraically the estimate of zero is 21.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given a linear function which represents the profit of Bethany, y after x hours of dog walking.

(a) From the graph, we have to estimate the zero.

The graph seems to intersect the X axis in between 20 and 22, approximately 21.

(b) To solve this algebraically, we have the profit function,

y = 23x - 480

When y = 0,

23x - 480 = 0

23x = 480

x = 20.87 ≈ 21

Hence the graphical method gives the same estimate as the algebraic method.

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In the expression $c \cdot a^b - d$, the values of $a$, $b$, $c$, and $d$ are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum possible value of the result?

Answers

The maximum possible value of the result is 8.

How to solve Linear Equations?

We are given the linear equation;

4x - x = 0

From the linear equation above, seeing that we have an x that is raised to the power of one-third, and we have a single x variable, the first step would be to add x to both sides to get;

The first step to solving the equation is to; C. add x to both sides

The second step  to solving the equation is to; C. cube both sides

Solving the equation for x initially yields; C. two possible values

Checking the solutions shows that; D. none are valid solutions

4x - x + x = 0 + x

4x = x

Now, to remove the fraction root, what we will now do as the second step is to cube both sides to get;

(4x)³ = x³

4³x = x³

64x = x³

Divide both sides by x to get;

x² = 64

Take square root of both sides to get;

x = ±√64

x = ±8

Hence, The maximum possible value of the result is 8.

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Find the standard form of the eclipse with end points of Major Axis (2,2) & (8,2) and minor axis (5,3) & (5,1)

Answers

Answer:

Step-by-step explanation:

Pour trouver la forme standard de l'équation d'une ellipse à partir des extrémités des grands axes et des petits axes, nous pouvons utiliser les formules suivantes:

Le centre de l'ellipse est le point (h, k), où h est la moyenne des coordonnées x des extrémités des grands axes et k est la moyenne des coordonnées y des extrémités des petits axes. Donc,

h = (2 + 8) / 2 = 5

k = (3 + 1) / 2 = 2

Donc, le centre de l'ellipse est (5, 2).

La distance a est la moitié de la longueur du grand axe, donc

a = (8 - 2) / 2 = 3

La distance b est la moitié de la longueur du petit axe, donc

b = (3 - 1) / 2 = 1

Maintenant, nous pouvons utiliser ces valeurs pour écrire l'équation de l'ellipse en forme standard:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

En substituant les valeurs trouvées précédemment, nous avons:

(x - 5)^2 / 3^2 + (y - 2)^2 / 1^2 = 1

Ce qui est la forme standard de l'équation de l'ellipse.

What are the x-coordinates to the solutions of the system of equations:

x + y + 10 = 0
x ^ 2 + y - 2 = 0

A) x = - 4, -3

B) x= 4, 14

C) x= -3, 4

D) x= -3, -7

Answers

Answer:

C

Step-by-step explanation:

x + y + 10 = 0 ( subtract x + 10 from both sides )

y = - x - 10 → (1)

x² + y - 2 = 0 → (2)

substitute y = - x - 10 into (2)

x² - x - 10 - 2 = 0

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 4 = 0 ⇒ x = 4

100 points + brainliest!

Answers

Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

How do I do this? This is confusing..

Answers

The points are as selected on the graph.

How to select points on the graph?

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since f(x) = -9. What this means is that the value of f(x) will always be -9 irrespective of the value of x. That is:

x    f(x)

-2   -9

0    -9

2    -9

7    -9

9    -9

Check the attached image for the points on the graph

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Which of the following equations has no real solutions?

OA. 10(x-6) = 10x - 60
OB.10(x+6)= 10(x + 10)
OC. 10x-6=60x-6
OD. 10x-610x6

Answers

Answer:

10x-610x6

The equation 10x-610x6 has no real solutions because it cannot be solved for any value of x. The left side of the equation is 10x-6, and the right side is 10x+6. Since the left side is greater than the right side, no value of x can make the equation true.

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expressed in terms of the area of a triangle. Let s be the side length of the polygon, let r be the hypotenuse of the right triangle, let h be the height of the triangle, and let n be the number of sides of the regular polygon. Polygon area = n(12sh).

Answers

Here, we let n be the number of sides of the regular polygon. Polygon area = n(12sh). As n increases, h approaches r so that rh approaches r² and hence, this statement is true. So, option 4 is the correct option.

When ns equals circumference or 2r, the polygon will turn into a circle.

A polygon must be converted into a circle.

Let s represent the polygon's side length, r represent the hypotenuse of the right triangle,

Let n be the regular polygon's number of sides and h be the height of the triangle.

The polygon's area is now specified as polygon area = n(1/2sh).

Now, we must suppose that the polygon's sides are infinite in order to obtain a circle. In order to do this, we must assume that the polygon's perimeter is the same as the circle's perimeter.

That's why when the number of sides of the polygon will increase its perimeter will become closer to 2πr and its area will become close to a circle.

The complete question that you might be looking for is-

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expressed in terms of the area of a triangle. Let s be the side length of the polygon, let r be the hypotenuse of the right triangle, let h be the height of the triangle, and let n be the number of sides of the regular polygon. polygon area = n(12sh) Which statement is true?

As h increases, s approaches r so that rh approaches r². As r increases, h approaches r so that rh approaches r². As s increases, h approaches r so that rh approaches r². As n increases, h approaches r so that rh approaches r².

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If you invest $9,500 per period for the following number of periods, how much would you have?

13 years at 10 percent.
50 years at 9 percent.

Answers

The accrued amounts are $32,796.58 and $706,396.44.

What is the compound interest rate?

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n[tex])^{rt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

(a) If you invest $9,500 per period for 13 years at 10 percent.

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,500.00(1 + 0.1/1[tex])^{13}[/tex]

A = 9,500.00(1 + 0.1[tex])^{13}[/tex]

A = $32,796.58

(b). If you invest $9,500 per period for 50 years at 9 percent,

First, convert R as a percent to r as a decimal

r = R/100

r = 9/100

r = 0.09 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,500.00(1 + 0.09/1[tex])^{50}[/tex]

A = $706,396.44

Therefore, the amounts are$32,796.58 and $706,396.44.

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Mark would like to buy a new guitar that costs $169.00. Mark has saved $55 and receives an allowance of $12 a week. Choose the equation that represents how many weeks, w , it will take for Mark to save enough money to buy the guitar. Responses

Answers

With a weekly budget of $12, Mark will need to save money for 9 weeks, 5 days in order to purchase the guitar.

what is equation ?

The value is said to be in its simplified form when divided through its smallest equivalent fraction. How to find the most basic form. Find common factors in the denominator and numerators. Verify a minority integer t verify if it qualifies like a prime number. A statement comprising two rotational symmetry and an equal sign in the middle is called an equation in mathematics. The general form of almost any equation contains the degrees of all variables in descending order. The conventional form of something like a linear equation is an x + b = 0. The general form of a mathematical expression with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional solutions. An identity holds true irrespective of the value given to the variables.

given

let the week be x

equation =  $55 + 12x = $169.00

55 + 12x = 169

12x = 169 - 55

12x = 114

x = 9.5

With a weekly budget of $12, Mark will need to save money for 9 weeks, 5 days in order to purchase the guitar.

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The scrap value of a machine at the end of its useful life is given by S(n)=C(1-r), where C is the original cost, n is the useful life
of the machine in years, and r is the constant annual percentage of value lost. Find the scrap value of the following machine.
Original cost, $41,000; life, 10 years; annual rate of value lost, 13%

Answers

Answer:

$ 2,484.23

Step-by-step explanation:

The formula for scrap value is

S(n) = C( 1- r)ⁿ

where
S(n) = scrap value after n years
C = original cost
r = rate of value lost in decimal
n = number of years

First convert r to a decimal by dividing by 100

r = 13/100 = 0.13

S(10) = 10,000(1 - 0.13)¹⁰
= 10,000 x (0.87)¹⁰
= 10000 x 0.248423

= $ 2,484.23

PRE-CALCULUS:

Hi! Not really sure how to go about this problem..please help!

Answers

Answer:

6

Step-by-step explanation:

the numerator of the fraction is

6(t+h) +1 -(6t +1) = 6h

so the fraction is 6h/h =6

Refer to the attached image.

Precision Engineering Factory consumes 12,500 units of a component in every three- month period. The ordering, receiving and handling costs are TZS 3 per order while the trucking costs are TZS 12 per order. Further details are as follows: deterioration and obsolescence cost TZS 0.04 per unit per year, interest cost, TZs 0.06 per unit per year, storage cost TZS 1,000 per year for 50.000 units, a) Calculate the total cost of matenal (ignore decimals and show working clearly).​

Answers

If Precision Engineering Factory consumes 12,500 units of a component in every three- month period.  the total cost of material is TZS 6,060 per year.

How to find the total cost of material?

The annual demand for the material can be calculated as follows:

Annual demand = (12,500 units/3 months) x (4 quarters/year) = 50,000 units/year

Ordering cost = TZS 3 per order

Number of orders = (50,000 units/year) / (12,500 units/order) = 4 orders/year

Ordering cost per year = (4 orders/year) x (TZS 3/order) = TZS 12/year

Trucking cost = TZS 12 per order

Trucking cost per year = (4 orders/year) x (TZS 12/order) = TZS 48/year

Deterioration and obsolescence cost = TZS 0.04 per unit per year

Deterioration and obsolescence cost per year = (50,000 units/year) x (TZS 0.04/unit/year) = TZS 2,000/year

Interest cost = TZS 0.06 per unit per year

Interest cost per year = (50,000 units/year) x (TZS 0.06/unit/year) = TZS 3,000/year

Storage cost = TZS 1,000 per year for 50,000 units

Storage cost per unit per year = (TZS 1,000/year) / (50,000 units) = TZS 0.02/unit/year

Storage cost per year = (50,000 units/year) x (TZS 0.02/unit/year) = TZS 1,000/year

Total cost of material = Ordering cost + Trucking cost + Deterioration and obsolescence cost + Interest cost + Storage cost

Total cost of material = TZS 12/year + TZS 48/year + TZS 2,000/year + TZS 3,000/year + TZS 1,000/year

Total cost of material = TZS 6,060/year

Therefore, the total cost of material is TZS 6,060 per year.

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HELP PLEASE!!!!!!

Square ABCD is graphed in the xy- plane with origin O. A transformation maps ABCD onto A'B'C'D'.



In the following table, consider the congruence statement listed in each row together with the type of transformation listed in each column.



Select each cell for which the congruence statement must be true for the type of transformation.

Answers

The transformation from ABCD onto A'B'C'D' is a rigid transformation.

How to determine the congruent statements

From the question, we have the following parameters that can be used in our computation:

A transformation maps ABCD onto A'B'C'D'

In order for a transformation to map square ABCD onto square A'B'C'D', certain congruence statements must be true.

The corresponding sides of ABCD and A'B'C'D' must have the same length i.e. AB = A'B', BC = B'C', CD = C'D', and DA = D'A'.

The corresponding angles of ABCD and A'B'C'D' must have the same measure i.e angle A = angle A', angle B = angle B', angle C = angle C', and angle D = angle D'.

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The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 7(Multiple Choice Worth 1 points) (05.06 MC) A class trip to a ski resort has been planned for your senior trip. The mountain only allows skiing when the temperature is between −10 degrees and 35 degrees. There is room for 38 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip. −10 < x < 35 and 0 < y ≤ 38 x < 35 and y > −10 0 < x ≤ 38 and −10 < y < 35 x > −10 and y < 35 Question 8(Multiple Choice Worth 1 points) (05.06 MC) A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing, and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation? 2x + 3y < 60 3x + 2y < 60 2x + 3y > 60 3x + 2y > 60 Question 9(Multiple Choice Worth 1 points) (05.06 MC) Solve the following systems of inequalities and select the correct graph: 2x − y < 4 x + y < −1 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. a dashed line g of x rising left to right that is shaded below and a dashed line f of x that is falling left to right that is shaded above a dashed line f of x rising left to right that is shaded above and a dashed line that is falling g of x left to right that is shaded above a dashed line

Answers

The point that is a solution to the system of inequalities y < −2x + 10 and y < 1/2x − 2 is point E at (4, -2). This is because point E satisfies both inequalities.

When we plug in the x and y values of point E into the first inequality, we get -2 < -2(4) + 10, which simplifies to -2 < 2, which is true.

When we plug in the x and y values of point E into the second inequality, we get -2 < 1/2(4) - 2, which simplifies to -2 < 0, which is also true. Therefore, point E is a solution to the system of inequalities.

For question 7, the correct answer is −10 < x < 35 and 0 < y ≤ 38. This is because the temperature must be between -10 and 35 degrees, and there must be between 0 and 38 people on the trip.

For question 8, the correct answer is 2x + 3y < 60. This is because a small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing, and the total time must be less than 60 hours.

For question 9, the correct answer is the graph with a dashed line f of x rising left to right that is shaded above and a dashed line that is falling g of x left to right that is shaded above.

This is because the solution to the system of inequalities is the area where both inequalities are true, which is the area where they have shading in common. In this case, it is the area above both dashed lines.

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2 Select the correct answer. A circle with radius 5 and center A. The coordinates of the center of the circle are (-3, 12). What is the general form of the equation of the given circle with center A? A. x2 + y2 + 6x − 24y − 25 = 0 B. x2 + y2 − 6x + 24y + 128 = 0 C. x2 + y2 + 6x – 24y + 128 = 0 D. x2 + y2 + 6x − 24y + 148 = 0 Reset Next

Answers

The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

What is equation?

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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32.24 ÷ 2.08 =
What is the answer of this question

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Answer:

15.4 is the answer

Stepson

there’s something called a calculator

Select the correct answer from each drop-down menu. Consider right triangle ABC. A triangle ABC has right angle at B is shown. Base AB has length labeled 40 units. Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.

Answers

We know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.

What are trigonometric ratios?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

We can use the following trigonometric ratios:

sin(A) = opposite/hypotenuse

cos(A) = adjacent/hypotenuse

In this case, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse:

opposite = BC = 9 units

adjacent = AB = 40 units

hypotenuse = AC = 41 units

Using these values, we can calculate the sine and cosine of angle A:

sin(A) = opposite/hypotenuse = 9/41

cos(A) = adjacent/hypotenuse = 40/41

Therefore, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.

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Roger will pour concrete to make a sidewalk with the dimensions, in feet, shown in the figure below. He will pour the concrete to a depth of 4 inches. One bag of concrete mix makes 0.6 cubic feet of concrete. What is the least whole number of bags of concrete mix that Roger needs in order to make the sidewalk?

F. 16
G. 44
H. 50
J. 58
K. 67

Answers

The least whole number of bags of concrete mix that Roger needs is:

Number of bags = 6

Answer: F. 16

What is Volume?

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

To find the volume of the sidewalk in cubic feet, we first need to convert the dimensions to feet. Since 1 foot = 12 inches, we have:

Length = 24 feet + 6 inches = 24.5 feet

Width = 4 feet + 6 inches = 4.5 feet

Depth = 4 inches = 1/3 feet (since 1 foot = 12 inches, 4 inches = 4/12 feet = 1/3 feet)

The volume of the sidewalk is then:

Volume = Length x Width x Depth

= 24.5 feet x 4.5 feet x 1/3 feet

= 3.25 cubic feet

Since one bag of concrete mix makes 0.6 cubic feet of concrete, the number of bags of concrete mix that Roger needs is:

Number of bags = Volume of sidewalk / Volume per bag

= 3.25 cubic feet / 0.6 cubic feet per bag

= 5.42 bags

Since Roger cannot buy a fraction of a bag, he must buy at least 6 bags of concrete mix. Therefore, the least whole number of bags of concrete mix that Roger needs is:

Number of bags = 6

Answer: F. 16

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Which of the following best describes the expression 6(x + 10)? (1 point)

The sum of a constant factor 6 and a 2-term factor x + 10
The product of a constant factor 6 and a 2-term factor x + 10
The sum of constant factors 6 and x + 10
The product of constant factors 6 and x + 10

Answers

The best description of the expression 6(x + 10) is given as follows:

The product of a constant factor 6 and a 2-term factor x + 10.

How to describe the expression?

The expression for this problem is defined as follows:

6(x + 10).

The 6 before the parenthesis means that the distributive property is applied, meaning that we have a product of two amounts, which are given as follows:

6.x + 10.

Meaning that the second option is the correct option.

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