Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.the perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation

Three Sides Of A Quadrilateral Are The Same Length, Q. The Length Of The Fourth Side Is 7 Inches.the

Answers

Answer 1

Answer:

Step-by-step explanation:

3q+7=40

3q=40-7

3q=33

q=11

Therefore, the required equation for this problem will be 3q+7=40.

Thank you


Related Questions

are all isosceles triangles similar

Answers

Answer:

Step-by-step explanation:

isosceles triangles are all similar in that they have 2 sides that are equal.

however, the angles can differ and so they are not all similar in that term

How to convert 100 minutes in hours?

Answers

The value of conversion of 100 minutes to hours is equal to  1 ( 2/ 3 ) hours.

Minutes and hours are unit which are used to measure time.Hours is greater than minutes.

Conversion of minutes to hours is :

One hour is equal to sixty minutes

⇒ 1 minutes = ( 1 / 60 ) hours

Substitute the required value to convert into hours we get ,

⇒ 100 minutes ( 100 / 60 ) hours

⇒ 100 minutes = 1  40 / 60 hours

⇒ 100 minutes = 1 2 / 3 hours

Therefore, after converting minutes into hours the value of 100 minutes is equal to 1 ( 2 / 3 ) hours.

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what is quarts to oz?

Answers

The quarts to Oz conversion is simple and can be done through the formula - Quantity in ounces or oz = quantity in quarts × 32

Quart and oz are the units used to get an information on the volume. The two units are related and can be easily converted to each other through the relation. The equivalent amount of one over the other is -

1 quart is equal to 32 fluid ounces.

Now, to find the amount of quarts in oz, students can simply use this formula -

Quantity in ounces or oz = quantity in quarts × amount of ounces equivalent to one quart

The value of amount of ounces equivalent to one quart will be kept 32. So, let us find the 0.03 quart equivalent in ounces.

Quantity in ounces = 0.03 × 32

Performing multiplication on Right Hand Side of the equation

Quantity of fluid in ounces = 0.96 ounces.

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The temperature in Austria one morning was -5 degrees celcius at eight o clock and increased by 2 degrees celcius every hour until twelve o clock . What will be the temperature be at half past eleven

Answers

The temperature at half past eleven would be 2 °C.

What is algebraic expression?                      

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the temperature in Austria one morning was -5 degrees Celsius at eight o clock and increased by 2 degrees Celsius every hour until twelve o clock.

We can write the temperature variation as a function of hour {x} as -

T{x} = (- 5 + 2{x})°C

For half past eleven, we will have -

{x} = 3.5

So, we can write -

T{x} = (- 5 + 2 x 3.5)°C

T{x} = 2 °C

Therefore, the temperature at half past eleven would be 2 °C.

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A dilation has center​ (0,0). Find the image of the point B (7/3,5/4) for the scale factor 1/2 .

Answers

Therefore , the solution of the given problem of coordinates comes out to be the image of point B(7/3, 5/4) after dilation with center (0,0) and scale factor 1/2 is B'(7/6, 5/8).

How do you use coordinates?

A reference frame is a geometrical technique that uses one or so more values or locations to better be able to observe points and any other topological entities on a spectrum, including such Euclidean space. A point or object's coordinates on a double planes are a pair of numbers. The x and y values of a point on a two - dimensional plane are two integers that identify its location. a collection of integers that represent exact coordinates .

Here,

The image of a point B(x, y) after a dilation with center (0,0) and scale factor k is given by the point B'(kx, ky).

In this case, the center of dilation is (0,0) and the scale factor is 1/2.

So, the image of point B(7/3, 5/4) after dilation is given by:

B'(kx, ky) = B'(1/2 * 7/3, 1/2 * 5/4)

B' = (7/6, 5/8)

Therefore, the image of point B(7/3, 5/4) after dilation with center (0,0) and scale factor 1/2 is B'(7/6, 5/8).

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Conan fills 5 tubes. 2 tennis balls are left. How many tubes does Conan need to put away all the tennis balls?

Answers

Therefore , the solution of the given problem of linear equation comes out to be conan needs one more tube to put away the remaining 2 tennis balls.

A linear equation is precisely what?

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous line is usually referred to as a "math equation mixing numerous variables," even though y / y represent independent components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations.

Here,

We know that Conan has 5 tubes, and that 2 tennis balls are left unfilled. This means that he has already filled up 5 - 1 = 4 tubes.

Each tube can hold a certain number of tennis balls, so we need to know how many tennis balls each tube can hold. Once we know that, we can figure out how many tubes are needed to hold the remaining 2 tennis balls.

Let's say each tube can hold n tennis balls. Then, the 4 filled tubes have a total capacity of 4n tennis balls. We also know that there are 2 tennis balls left unfilled. Therefore, we can set up the following equation:

4n + 2 = 5n

Simplifying this equation, we get:

2 = n

So each tube can hold 2 tennis balls. Therefore, Conan needs one more tube to put away the remaining 2 tennis balls.

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HELP Given: △ABC is a right triangle, with

a right angle at.

Prove:

Answers

By using the Pythagoras theorem, AC + AD = BC is proved.

The relationship between the sides of a triangle can be proven using the properties of triangles.

Let us denote the length of AC as a and the length of AD as b. Since the triangle is right angled at A, the lengths of its sides must adhere to the Pythagorean theorem, that is a² + b² = (AB)². Additionally, since the bisector of ∠ C intersects the side AB at D, the length of AC must equal the length of AD, that is a = b.

Using the two equations above, we can substitute b for a in the equation a² + b² = (AB)² and solve for a. This results in a = AB/2. Substituting a for AB/2, we get

=> (AB/2)² + b² = (AB)².

Finally, multiplying by 2, we can get AB + 2b² = 2(AB)², which can be simplified to AB + 2b² = 2a².

Since a = b, this can be simplified to

=> AB + 2b² = 4b²,

resulting in AB = 2b².

Therefore, AC + AD = AB = 2b² = 2(AC) = BC, proving that the statement AC + AD = BC holds true for any right triangle right angled at A such that AB = AC and the bisector of ∠ C intersects the side AB at D

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Complete Question:

△ ABC is a right triangle right angled at A such that AB = AC and bisector of ∠ C intersects the side AB at D. Prove that AC + AD = BC.

Explain the difference between the Addition Rule for disjoint events and the General Addition Rule.

Answers

Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).

Step-by-step explanation: The Addition Rule states that for two disjoint events, the probability that one or the other occurs is the sum of the probabilities of the two events. (Book example on p. 280 about the probability that a randomly selected student is either a sophomore (A) or a junior (B) therefore P(A or B). The addition of probabilities for disjoint events is the third basic rule of probability: Rule 3: If two events A and B are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).

Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).

Step-by-step explanation: hope this helps0^0

The dimensions of an above-ground, rectangular pool are 25 feet long, 18 feet wide, and 6 feet deep. How much water can fit in the pool?

Answers

Answer:

2700ft³ or 76455.49 litre

Step-by-step explanation:

Given

Length = 25 feet

Width = 18 feet

Height = 6 feet

Formula for Volume of cuboid = Length×Width×Height

So,

Volume of the pool = 25×18×6 = 2700ft³ or 76455.49 liters aprox.

HELP PLEASEEEE
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)

Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)

Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)

Answers

The linear equation will be y=7000+4550n where n=no. of year greater than 1.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.

and general equation of line is y=mx+c

where m=slope=y2-y1/x2-x1

Now,

Given that no. of lionfish after a year=7000

and increment is 65% every year that means 65/100*7000

=4550 lionfish are added every year after 1 year

so the equation to represent lionfish in n years will be

Y=7000+4550n, where n>1 and n is no. of years.

hence,

          The linear equation will be y=7000+4550n.

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how can you use proportional and nonproportional linear relationships to solve problems

Answers

Answer:

To solve problems using proportional linear relationships, we can use the formula [tex]y=kx[/tex], where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

To solve problems using nonproportional linear relationships, we can use the slope-intercept form of a linear equation, which is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

What is 4 Tablespoons (4Tbsp) in Cups (cup)?

Answers

A tablespoon is a volume measurement unit based on a piece of flatware (symbol: Tbsp). The value of 4 tablespoons is equivalent to 0.25 cups.

A metric tablespoon is exactly 15 mL, but a tablespoon in the United States is around 14.8 mL.

In both the imperial and American customary systems of measurement, a cup is a unit of volume.

250 millilitres is the definition of a metric cup.

There are 4.25 tablespoons in 0.25 cups (4 tbsp).

You may use the formula below to convert tablespoons to cups:

16 tablespoons make create a cup.

So, you may divide 4 by 16 to convert 4 tablespoons to cups:

4 tbsp / 16 tbsp/cup equals 0.25 cups.

Hence, 4 tablespoons are equal to 0.25 cups.

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How to convert teaspoons to ounces

Answers

To convert teaspoons to ounces divide the ingredient or material's volume times its density by 5.751669.

Divide the volume times the density of the substance or material by 5.751669 to convert a teaspoon measurement to an ounce.

Hence, the volume in ounces is calculated by multiplying the teaspoons by the component or material's density and dividing the result by 5.751669.

ounces = teaspoons × ingredient density / 5.751669

One-third of a tablespoon's volume is represented by a teaspoon. Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.

The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.

One ounce is equal to 1/16 of a pound in terms of mass/weight. The troy ounce, which is equivalent to 1/12 of a troy pound, should not be confused with the common ounce.

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what is 120 euros to dollars?

Answers

The value of euros can be converted to dollars by simply multiplying euro by 1.06 so 120 euros be 127.89 dollars.

Unit conversion is the process of converting the dimension of a given quantum between colorful units, frequently by multiplicative conversion factors that alter the value of the measured volume without altering its goods.

The sanctioned currency of 20 of the EU's 27 member countries is the euro( symbol€; law EUR)( EU). By of 2023, this group of countries — officially known as the eurozone or euro area — will have around 344 million residers. One euro is equal to one hundred cents.

The United States bone ( symbol$; law USD; frequently shortened asUS$ orU.S. Bone to separate it from other bone - nominated currencies; also known as the bone ,U.S. bone , American bone , or informally buck) is the sanctioned coin of the United States and multitudinous other nations.

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how to convert 250 ml to l?

Answers

250 milliliters is equal to 0.25 liter

The conversion factor to convert milliliter to liters is 0.001

Therefore, the equation will be,

1  ml = 0.001 liter

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The volume in liters = The volume in ml × conversion factor

Substitute the values in the equation

1 ml = 0.001 liters

250 ml =  0.001 × 250

Multiply the numbers

= 0.25 liters  

Therefore, 250 ml is 0.25 liters

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Mr. Quesada took out a loan for $12,000. To pay it back, he will make 24 monthly payments of $629. How much will he pay in interest?​

Answers

Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

what is the seventh root of 128​

Answers

Answer:

2

Step-by-step explanation:

The seventh root of a number is the number that would have to be multiplied by itself 7 times to get the original number so if you multiply 2 by itself 7 times you'd get 128

a rectangular room is 3 meters longer than it is wide, and its perimeter is 30 meters. find the dimension of the room.

Answers

answer - 6 meters and the width is 3 meters!

why?

2 ( length + width )

18 meters = 2 ( width + 3 + width )

divide both sides by 2

9 = width + 3 + width

9 = 2 width + 3

subtract 3 on both sides.

9 - 3 = 2 width + 3 - 3

6 = 2 width

divide by 2 on both sides.

3 = width

width = 3

putting in (1)

length = width + 3 = 3 + 3 = 6

we see that

length = 6 meters
width = 3 meters

hope this helps!!!!

Kourtney accrued $1,375 after 6 months. If she deposited 50,000 at the start what was the interest rate? PLS I NEED HELP ASAP

Answers

Answer: r = 5.5%

Step-by-step explanation:

6/12 = 0.5 (years)

(I=Prt) || 1375 = 50000 * r * 0.5

1375 = 25000r

1375/25000 = 25000r/25000

0.055 = r

0.055 * 100% = r

5.5% = r

(Please correct me if I'm wrong)

Solve for x and y: 0.1x- 0.3y = 0.4 ; 0.3x - 0.2y = 0.5

Answers

The required value of x and y in the given equation are ,

x= 1,

y = -1 .

Substitution Method :

The algebraic method to solving simultaneous linear equations is known as substitution method. This method, as the name suggests, involves substituting the value of one variable from one equation into the second equation. This makes it much easier to answer a pair of linear equations by combining them into a single linear equation with only one variable.

The given equations are

0.1x - 0.3y = 0.4                             ...(1)

0.3x − 0.2y=0.5                              ....(2)

Multiply both the equations by 10, we get

x - 3y = 4                                           ...(1)

3x − 2y = 5                                        ...(2)

Multiply (1) by 3

3x - 9y = 12

3x − 2y = 5

Subtracting both the equations

-7y = 7

y = -1

From (1):

x - 3(-1) = 4

x + 3 = 4

x = 4 - 3

x = 1

The required value for x and y is,

x= 1,

y = -1

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For the end of the year party, Lone Star Middle School ordered 242 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizza. Write an equation for the situation.

Determine how many of each kind of pizza was ordered

Answers

There were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

What is pizza?

Pizza is a dish of Italian origin consisting of a usually round, flat base of leavened wheat-based dough topped with tomatoes, cheese, and often various other ingredients, which is then baked at a high temperature, traditionally in a wood-fired oven. A small pizza is sometimes called a pizzetta.

Calculation of the each kind of pizzas:

Let us assume the number of pepperoni pizzas be x

So,

pepperoni = x

veggie = x - 8

combo = 3x  

Since

The total Pizza is 112

So,

x + x - 8 + 3x = 112

5x - 8 = 112

5x = 112 + 8

5x = 120

x = 24

Now

x - 8 = 16

3x = 72

There were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

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Last night, Roberto spent 90 minutes doing homework, 2\3 infinity symbol hour reading, and 540 seconds making his lunch for the next day. How many more minutes did Roberto spend doing homework than he did reading and making his lunch?

Answers

Roberto spent 41 more minutes doing homework than he did reading and making his lunch.

What is the basic algebraic expression?

An algebraic expression is when we use numbers and words in solving a particular mathematical question.

First, let's convert all the times to minutes:

Roberto spent 90 minutes doing homework.2/3 hour of reading is equal to 2/3 x 60 = 40 minutes.540 seconds making his lunch is equal to 540/60 = 9 minutes.

Now, we can calculate the difference:

90 - (40 + 9) = 41

Hence, Roberto spent 41 more minutes doing homework than he did reading and making his lunch.

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450?

Answers

The transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

What is Parabola?

A parabola is a symmetrical, U-shaped curve that can be formed by intersecting a plane with a cone. It is defined by the quadratic equation [tex]y = ax^2 + bx + c.[/tex]

Solution:

To identify the transformations that have been applied to the graph of [tex]f(x) = x^2[/tex]to produce the graph of [tex]g(x) = -5x^2 + 100x - 450[/tex] we can start by looking at the standard form equation for a parabola:

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) is the vertex of the parabola and "a" determines the shape and direction of the parabola.

For[tex]f(x) = x^2[/tex], we have a = 1, h = 0, and k = 0, so the vertex is at (0, 0).

For [tex]g(x) = -5x^2 + 100x - 450[/tex], we can rewrite it as:

[tex]g(x) = -5(x^2 - 20x + 90)[/tex]

Completing the square inside the parentheses, we get:

[tex]g(x) = -5(x - 10)^2 + 400[/tex]

So the vertex of the parabola is (10, 400), and the "a" value is -5, which means the parabola is upside-down compared to[tex]f(x) = x^2.[/tex]

Therefore, the transformations that have been applied to f(x) to obtain g(x) are:

1. The graph is reflected vertically (flipped upside-down) due to the negative "a" value.

2. The graph is shifted 10 units to the right and 400 units up, which corresponds to a horizontal translation of 10 units and a vertical translation of 400 units.

In summary, the transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

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A recent Gallup Poll found that 61% of American adults are "satisfied with their personal life."
Suppose you take a random sample of 5 Americans and ask each one if they are "satisfied with their
personal life and record the number who report personal life satisfaction. Use this experiment to answer
the following questions. Round solutions to four decimal places, if necessary.

Answers

Binomial probability distribution of the given experiment is as follows 0.00902, 0.07056, 0.22073, 0.34524, 0.26999, 0.08446. its mean is 3.05 and standard deviation is 0.53196.

What is binomial probability distribution?

The binomial distribution is a type of probability distribution that models the probability of one of two outcomes given a set of parameters. It summarizes the number of trials with the same chance of producing the same result. The value of a binomial is determined by multiplying the number of independent trials by the number of successes.

Given : n = 5

            P = satisfied Americans = 61/100

            Q = 1 – P = 1 – 61/100 = 39/100

Binomial distribution formula   P(x) = ⁿCₓ . Pˣ . Qⁿ⁻ˣ

                                                ⁿCₓ = n!/ x! (n-x)!

a) Binomial table

P(x) = P(0) = ⁵C₀ . (61/100)⁰. (39/100)⁵ = 0.00902

P(x) = P(1) = ⁵C₁ . (61/100)¹ . (39/100)⁴  = 0.07056

P(x) =P(2) = ⁵C₂  . (61/100)² . (39/100)³ = 0.22073

P(x) = P(3) = ⁵C₃ . (61/100)³ . (39/100)² = 0.34524

P(x) = P(4) = ⁵C₄ . (61/100)⁴ . (39/100)¹ = 0.26999

P(x) = P(5) = ⁵C₅ . (61/100)⁵ . (39/100)⁰ = 0.08446

b) mean of binomial distribution = np

                                                     = 5 * 61/100

                                                     = 5 * 0.61

                                                     = 3.05

c) Standard deviation of binomial distribution = √nPQ

                                                                           =√5 * 0.61 * 0.39

                                                                            =  0.53196

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solve for x. line 1. 27degrees line 2. (3x)degrees

Answers

The measure of the angle of x is 69.

In order to find the measure of one angle, given the measure of the other angle on the same straight line, you must use the relationship between the angles.

When two angles are on the same line and adjacent, they must add up to 180 degrees. This means that the two angles, x degrees and (2x-27) degrees, must add up to 180 degrees. We can use this to solve for x. We can set up an equation to represent this relationship:

x + (2x - 27) = 180

We can now use the distributive property to solve for x.

3x - 27 = 180

Adding 27 to both sides of the equation, we get:

3x = 207

Dividing both sides of the equation by 3, we get:

x = 69

Therefore, the measure of the angle is x = 69 degrees.

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Complete Question:

The measures of two adjacent angles on a straight line are x degrees and (2x-27) degrees. Find x

Solve by substitution:
3xーy= 17
2x+y= 8

Answers

The answer is 4x = 78 x

can you solve this in 3 min?

Answers

The dot plot of the data values is added as an attachment

How to create the dot plot

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

85,88,75,100,90,90,88,72,72,79,88,85

Next, we create a frequency table

So, we have

Values   Frequency

72             2

75             1

79             1

85            2

88            3

90           2

100          1

Total      12

Using the frequency table above, we create the dot plot

See attachment for the dot plot

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6x^2-5x-4 is equivalent to:
(1) (6x-1)(x+4)
(2) (3x-1)(2x-4)
(3) (x-1)(6x-4)
(4) (2x+1)(3x-4)

Answers

Step-by-step explanation:

What is the electric potential at the centre of square of side 1 m ? the changes 1 x 10^-8c , - 2 x 10^-8 c, 3 x 10^-8 c and 2 x 10^-8 c are placed at the corners

It is equivalent to answer number 2

This figure is a 12 in by 12 in square with the corner cut off. What is the
length of the diagonal (hypotenuse) where the paper is cut? (Pythagorean
Theorer: you will get a whole #)

Answers

The length of the diagonal is 5 in. The solution has been obtained by using the pythagoras theorem.

What is Pythagoras theorem?

The Pythagorean Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of its other two sides.

We are given that the figure is a 12 in by 12 in square.

So, the lengths of the triangle come out to be 3 and 4.

Now, using the pythagoras theorem,

⇒Hypotenuse² = 3² + 4²

⇒Hypotenuse² = 9 + 16

⇒Hypotenuse² = 25

Hypotenuse = 5

Hence, the length of the diagonal is 5 in.

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The vertex of the parabola below is at the point (2, -5). Which of the equations below could be the one for this parabola?   A. x = -4(y - 2)2  B. y = (x + 2)2 - 5

Answers

The equation y = (x - 2)² - 5 below could be the one for this parabola. Option B is the correct answer.

What is parabola?

A parabola is formed by cutting a right circular cone in half along a plane perpendicular to the cone's generator. It is a locus of a moving point whose separation from the focus is equal to its separation from a stationary line (directrix)

Focus is a fixed point.

Directrix is the name for fixed line.

The equation of the parabola is given by the formula:

y = a(x - Vₓ)² + Vy

Here, Vx and Vy are the coordinates of the vertex of the parabola.

Substituting the value of coordinates of vertex we have:

y = a(x - 2)² - 5

Hence, the equation y = (x - 2)² - 5 below could be the one for this parabola. Option B is the correct answer.

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