Daniela brought 1/4 of a pound of choclate chip cookies to school and Emily brought 3/7 of a pound of peanut butter cookies.
How many pounds of cookies do we have in total?

Answer:

Step-by-step explanation:

The area of the picture frame is 72 cm². Thus, option C is correct.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm²), square metres (m²) or square kilometres (km²).

Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The area of the picture frame will be given by:

Area = (area of picture and frame)-(area of pictures)

area of picture and frame is given by:

A1=Length × width

A1 = 10 × 12

= 120cm²

area of the picture will be:

A2=8 × 6 = 48 cm²

thus the area of the frame will be:

A = A1 - A2

A = 120 - 48

A = 72cm²

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Complete question:

Select the correct answer.

Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame?

A bigger outer rectangle has sides of 12 cm and 10 cm, and an inner rectangle has sides of 8 cm and 6 cm.

A. 120 square centimeters

B. 88 square centimeters

C. 72 square centimeters

D. 64 square centimeters

Answer:

Step-by-step explanation:

no because they don't have the same dominator

The midpoint M of the given line segment with end points (−8,−11) and (2,5) is (-3,-3).

What is meant by the midpoint of a line segment?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. The centre of a line segment is known as the midpoint. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.

Given a line segment with endpoints A and B.

   A = (−8,−11) = (x₁ , y₁)

  B = (2,5) = (x₂, y₂)

W asked to find the midpoint. Let the midpoint be M.

M = ( (x₁ + x₂) /2  , (y₁ + y₂) / 2)

(x₁ + x₂) /2  =  (-8 + 2) /2 =  -  6/2 = -3

(y₁ + y₂) / 2 =  (-11 + 5) /2  = -6/2 = -3

Therefore the midpoint M of the given line segment with end points (−8,−11) and (2,5) is (-3,-3).

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Answer:

if Hassan got 48/50 and scored an overall 5.7/6.0, and Emily got 32/40, her overall score would be approximately 5.6/6.0 (rounded to one decimal place).

Step-by-step explanation:

If Hassan got 48/50 and scored an overall 5.7/6.0, what would Emily's overall score be is she got 32/40?​

To determine Emily's overall score, we can use a proportion:

Hassan's score / Hassan's total = Emily's score / Emily's total

Substituting the given values, we get:

48/50 = 32/Emily's total

To solve for Emily's total, we can cross-multiply:

48/50 * Emily's total = 32

Simplifying the left-hand side, we get:

0.96 * Emily's total = 32

Dividing both sides by 0.96, we get:

Emily's total = 33.33 (rounded to two decimal places)

Now, we can use another proportion to find Emily's overall score:

Emily's score / Emily's total = 5.7/6.0

Substituting the value of Emily's total that we just found, we get:

Emily's score / 33.33 = 5.7/6.0

Solving for Emily's score, we get:

Emily's score = 31.4 (rounded to one decimal place)

Therefore, if Hassan got 48/50 and scored an overall 5.7/6.0, and Emily got 32/40, her overall score would be approximately 5.6/6.0 (rounded to one decimal place).

If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.

The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).

The monthly cost of the 4-yard dumpster = $95.00

1 year = 12 months

The total annual cost = $1,140 ($95 x 12)

Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.

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The probability that Winston makes exactly three mid-air catches in four tosses is 0.154, rounded to three decimal places.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favorable outcomes to all outcomes.

This is a binomial distribution problem, where each toss is a Bernoulli trial with a probability of success of 0.4 (i.e., catching the ball mid-air) and a probability of failure of 0.6 (i.e., not catching the ball mid-air).

The number of successes (mid-air catches) in four tosses follows a binomial distribution with parameters n = 4 and p = 0.4.

The probability of getting exactly three mid-air catches in four tosses is:

P(X = 3) = (4 choose 3) * 0.4^3 * 0.6^1 = 4 * 0.064 * 0.6 = 0.154

where (4 choose 3) is the number of ways to choose 3 out of 4 tosses, and 0.4^3 and 0.6^1 are the probabilities of getting 3 mid-air catches and 1 miss, respectively, in any order.

Therefore, the probability that Winston makes exactly three mid-air catches in four tosses is 0.154, rounded to three decimal places.

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Answer:

Where is the question??

Answer:

Step-by-step explanation:

If (x + a) is a factor of x³ + 8x² + 4ax - 3a, then we know that dividing x³ + 8x² + 4ax - 3a by x + a will give a quotient of x² + (8 - a)x + (4a - 3), and a remainder of 0.

We can write this as:

x³ + 8x² + 4ax - 3a = (x + a)(x² + (8 - a)x + (4a - 3))

Expanding the right-hand side, we get:

x³ + 8x² + 4ax - 3a = x³ + (8-a)x² + (4a-3)x + ax² + (8-a)ax + (4a-3)a

Collecting like terms, we get:

x³ + 8x² + 4ax - 3a = x³ + (a+8)x² + (5a-3) x + a(4a-3)

Comparing the coefficients of x², x and the constant term, we get the following equations:

a + 8 = 8   --> a = 0

5a - 3 = 0   --> a = 3/5

4a^2 - 3a = 0 --> a(4a-3) = 0

Therefore, we have:

a³ - 4a² + 3a = a(a² - 4a + 3) = a(a-1)(a-3) = 0

So, a can be 0, 1, or 3

Therefore, the possible values of a are 0, 1, and 3.

To find the total distance of Alanah's trip to the arena, we need to add up the distances of each segment of her trip. We can use the distance formula to calculate the distances between the different points.

First, let's calculate the distance between Alanah's house (A) and Mia's house (M). Using the distance formula, we get:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

distance = sqrt((4 - 2)^2 + (14 - 10)^2)

distance = sqrt(4 + 16)

distance = sqrt(20)

distance ≈ 4.5

So the distance between A and M is approximately 4.5 miles.

Next, let's calculate the distance between Mia's house (M) and Teresa's house (N). Using the distance formula, we get:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

distance = sqrt((14 - 6)^2 + (16 - 12)^2)

distance = sqrt(64 + 16)

distance = sqrt(80)

distance ≈ 8.9

So the distance between M and N is approximately 8.9 miles.

Finally, let's calculate the distance between Teresa's house (N) and the arena. Using the distance formula, we get:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

distance = sqrt((16 - 10)^2 + (8 - 16)^2)

distance = sqrt(36 + 64)

distance = sqrt(100)

distance = 10

So the distance between N and the arena is exactly 10 miles.

Now we can add up the distances of the three segments to get the total distance of Alanah's trip to the arena:

total distance = 4.5 + 8.9 + 10

total distance ≈ 23.4

Therefore, the total distance of Alanah's trip to the arena is approximately 23.4 miles

(-7, 4).

[tex]x=-2y+1\\ \\3x+8y=11[/tex]

Most of the times you solve a systems of equations, you'll have to solve one of the equations for one of the variables (x or y), since the first equation is already solved for "x", we may use that and skip this first solving step.

[tex]x=-2y+1[/tex]

[tex]3(-2y+1)+8y=11[/tex]

Chech attached image 1.

[tex](3)(-2y)+(3)(1)+8y=11\\ \\(-6y)+(3)+8y=11\\ \\-6y+3+8y=11[/tex]

[tex]-6y+3+8y-3=11-3\\ \\-6y+8y=8[/tex]

[tex]2y=8[/tex]

[tex]\frac{2y}{2} =\frac{8}{2} \\ \\y=4[/tex]

[tex]x=-2(4)+1\\ \\x=-8+1\\ \\x=-7[/tex]

Now that weëve found a value for both "x" and "y", write the solution as an ordered pair:

(x, y)

(-7, 4).

To algebraically verify your answer, you must use the value of either "x" or "y" on both of the equations and it should return the other value of the missing variable.

Since we already checked with the first equation, go ahead and plug in any of the values on the second equation and check if it returns the correct value.

For example, if we use y=4 in equation 2, it should return an "x" value of -7. Let's test it!

[tex]3x+8(4)=11\\ \\3x+32=11\\ \\3x=11-32\\ \\3x=-21\\ \\\frac{3x}{3} =\frac{-21}{3} \\ \\x=-7[/tex]

That's correct! Answer is (-7, 4).

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The proof is incorrect and step number 3 is the first unjustified step due to missing prior step.

A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

The step 3 in the given explanation is unjustified step. The step needs to be place at the last in order to take in consideration all the steps and properties of a rectangle.

Hence, the proof is incorrect and step number 3 is the first unjustified step due to missing prior step.

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The true statement about the figure is not represented in the options

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

The triangle

The value of y can be calculated using the following Pythagoras theorem

y^2 = (3x)^2 + (4x)^2

Evaluate

y^2 = 25x^2

So, we have

y = 5x

The height is given as

Height = 100

This means that

4x = 100

So, we have

x = 25

For y, we have

y = 5x

y = 5 * 25

y = 125

For the area, we have

Area = 1/2 * 4x * 3x

Area = 1/2 * 4 * 25 * 3 * 25

Evaluate

Area = 3750

Hence, none of the options are true

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The constant of proportionality (k) for the graph is 11.7.

The proportional equation for the graph is y = 11.7x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for money earned per hour as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 35.1/3 = 81.9/7

Constant of proportionality, k = 11.7.

Therefore, the required equation is given by:

y = kx

y = 11.7x

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The value of x is given as follows:

x = 3.

Applying the secant-tangent theorem, we have that the following equation holds true:

4x² = 6².

Hence we can solve the equation for x to obtain the value of x, as follows:

4x² = 36

x² = 36/4

x² = 9

x = sqrt(9)

x = 3.

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Shyam would need S$250 to send NRs 20,000 to Nepal.

To determine how many Singapore dollars Shyam needs to send NRs 20,000 to Nepal, we need to first use the exchange rate provided to convert NRs to Singapore dollars.

The exchange rate given is S$1.00 = NRs 80.00. This means that for every Singapore dollar, Shyam can get 80 Nepalese rupees.

To find out how many Singapore dollars Shyam needs to send NRs 20,000, we need to divide NRs 20,000 by 80, which gives:

NRs 20,000 / 80 = S$250

Therefore, Shyam would need S$250 to send NRs 20,000 to Nepal.

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0.06 can be expressed as literally 0.06%

Oh okay I see now, as a fraction you would multiply by 100, so it would be 6 / 100

Answer: 6%

Step-by-step explanation:

if you multiply 0.06 by 100 it gets you 6%

The expression 25^(2x-3)=125^(x+1) has its solution to be x = 15

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

25^(2x-3)=125^(x+1)

Express 25 and 125 as exponent with a base of 5

So, we have the following representation

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

By comparison, we have

2(2x - 3) = 3(x + 1)

Open the brackets

4x - 12 = 3x + 3

Evaluate the like terms

x = 15

HEnce, the value of x is 15

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Answer:

$2700

Step-by-step explanation:

The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -6 and b = 360, so we have:

x = -360/(2*(-6)) = 30

Therefore, the company will maximize its profit by selling 30 units of the product.

p(x) = -6x^2 + 360x - 2500

(x = 30 )

p(30) = -6(30)^2 + 360(30) - 2500 = 2700

So, the maximum profit for the company is $2700.

The side length of the cube can be written as:

S = 3*∛5  centimeters.

We know that the cube has a volume of V = 135cm³.

Now, remember that for a cube of side length S, the volume is:

V = S³

Here we can replace the volume in the equation above, we will get:

135cm³ = S³

If we apply the cube root in both sides, we will get:

∛(135 cm³) = S

∛135 cm = S

Now we can rewrite that as:

135 = 9*5

Then we can rewrite the expression:

∛135  = ∛(27*5) = ∛27*∛5 = 3*∛5

That is the sidelength of the cube.

So we have A = 3 and B = 5.

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The Definition of the Derivative correctly stated by

In mathematics, a derivative is the rate at which a function changes in relation to a variable. Calculus and differential equations issues must be solved using derivatives.

As, we know by definition of derivative

= [tex]\lim_{h \to 0}[/tex] f(x+h)- f(x) / h

Also, the Derivative also shows the Slope of the secant line.

and, derivative is widely used to the rate of change then it also shows

Instantaneous rate of change.

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Answer:

Second inequality is
12x + 16y ≥ 460

We also have implied inequalities x ≥ 0, y ≥ 0 meaning hours cannot be negative

Step-by-step explanation:

The other equality refers to the earnings

Let x be the hours worked in the first job
Earnings at $12 per hour = 12x

Let y be the hours worked in the second job
Earnings at $16 per hour = 16y

Total earnings = 12x + 16y
This must be at least $460
"at least" means ≥

So second inequality is
12x + 16y ≥ 460

The number of students in mrs. Smith's class in exponent form is 3⁷.

Given that, Mrs. Smith has 3¹⁰ pencils in her classroom. Each student gets 3³ pencils.

Let the number of students in the class be represented by n.

To get the number of students in the class, divide the total number of pencils by the number of pencils each student got.

n = Total number of pencils ÷ Number of pencils each student gets

n = 3¹⁰ ÷ 3³

Since they both have the same base, we subtract the exponents

n = 3¹⁰ ⁻ ³

n = 3⁷

Therefore, the number of students is 3⁷.

Option D) 3⁷ is the correct answer.

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The value of x in the triangle, given the angle measures of the other angles, is D. 100 degrees

To find the value of x, you first need to find the value of the last interior angle in the triangle.

The sum of the interior angles of a triangle would add up to 180 degrees which means that the angle inside would be :

= 180 - 65 - 35

= 180 - 100

= 80 degrees

Angles on a straight line add up to 180 degrees so the value of x, which is on a straight line with 80 degrees, is :

= 180 - 80

= 100 degrees

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The value of the function [tex]\lim_{x \to \ -1} \frac{2}{(x + 1)^{2}}[/tex] is ∞.

A value of the function, whenever the input values are substituted in the function then the function approaches some number.

And that number is a limit of the function.

Given:

A function,

f(x) = 2/{(x + 1)²}

And function increases without bounds as the values of x approach -1.

So,

[tex]\lim_{x \to \ -1} \frac{2}{(x + 1)^{2}}[/tex]

= 2/(x² + 2x + 1)

= 2/{1 + (-2) + 1}

= 2/0

= ∞

Therefore, the function approaches infinity.

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Answer:

Step-by-step explanation:

We can use the law of sines to find the length of side a. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. In other words:

a/sin A = b/sin B = c/sin C

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the angles opposite those sides.

We are given that A = 80°, B = 60°, and b = 15 cm. We can substitute these values into the law of sines and solve for a as follows:

a/sin 80° = 15/sin 60°

Multiplying both sides by sin 80°, we get:

a = 15*sin 80°/sin 60°

Using a calculator, we can evaluate sin 80° and sin 60° as follows:

sin 80° ≈ 0.9848

sin 60° = √3/2 ≈ 0.8660

Substituting these values, we get:

a ≈ 15*0.9848/0.8660

a ≈ 17.06

Rounding this to the nearest whole number, we get:

a ≈ 17

Therefore, the length of side a is approximately 17 cm.

The amount that will be charged in prepaid interest on a $250,000 loan with an APR of 5.25% closed on April 12th is $9,457.19.

The APR represents the annual percentage rate.

The annual percentage rate is the interest rate for the year, including other finance charges.

To compute the interest, the annual percentage rate is multiplied by the loan amount and the period divided by 365 days.

Loan amount = $250,000

Annual percentage rate (APR) = 5.25%

Loan closing date = April 12th

April 12th to December 31st = 263 days

Interest for the year = $9,457.19 ($250,000 x 5.25% x 263/365)

Thus, for the year, the interest is $9,457.19.

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Answer:

Brian hiked 6 1/2 more miles than Christine.

Step-by-step explanation:

Ok. 5.25+4.75+6-2*4.75=6.5 or 6 1/2 more miles.

Answer:

meidien 39 and the mean 37.2

Step-by-step explanation:

23 32 39 40 52 see 32 is the mediem

add them than dived than u get 37.2