The length of a rectangle is twelve inches more than its width. The perimeter of the rectangle is 276 inches. What are the dimensions of the rectangle?

Answers

Answer 1

Answer: The dimensions of the rectangle are

Length = 75 and Width = 63

Step-by-step explanation: We would start with the information about the sides of the rectangle which states that the length is twelve inches more than it's width. In other words, if the width is represented by the letter w, then the length will be w + 12.

Also the perimeter of a rectangle is given as

2(L + W) where L is the length and W is the width of the rectangle

Therefore

Perimeter = 2( {w +12} + w)

276 = 2(2w + 12)

276 = 4w + 24

Subtract 24 from both sides of the equation

252 = 4w

Divide both sides of the equation by 4

63 = w

Therefore the width of the rectangle is 63 and the length is 75 (63 + 12).

L = 75 inches

W = 63 inches


Related Questions

The area of a what is half of the base multiplied by the height.

Answers

Answer:

Triangle

Step-by-step explanation:

Area of a triangle = 1/2 bh

Answer:

The correct ans is a: triangle

Step-by-step explanation:

I hope this helps! :)

Plz mark brainliest I am trying to rank up!

Have a nice day!


Angle A and Angle B are supplementary angles. If
mZA = (2x + 26)° and m
And angle B = (x + 25)°, then find the measure
of angle B.

Answers

X=9 2/3
So angle b = 34.6

Find the lateral surface area of the figure. A 798 B 210 C 816.8 D 69.7

Answers

the lateral surface area of the figure is 660 sq ft

(but the answer is not matching with the options)

Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.

here the diameter is 10 ft

so radius = diameter/2 = 10/2 ft = 5ft

again, height = 21ft

now the lateral surface area = perimeter of the circular surface X height

= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)

= 2 X (22/7) X 10 X 21 sq ft

= 2 X 22 X 5 X 3 sq ft

=660 sq ft

( suggest you to recheck the options)

Given :-

Diameter :- 10ft. , radius :- 5ft. Height:- 21 ft.

To find :-

Lateral surface area of Cylinder

Solution:-

Formula for finding lateral surface area of Cylinder = 2πrh

putting the known values ,

LSA of Cylinder = 2×3.14×5×21 ft²

LSA = 659.4 ft²

One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length of 20 feet, a width of 10 feet, and a height of 5 feet. How many quarts should you buy to paint the swimming pool with two coats of paint?

Answers

18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

Solution:

Given that,

A swimming pool is in the shape of a rectangular prism

Length = 20 feet

Width = 10 feet

Height = 5 feet

Find the surface area of prism

[tex]A=2(wl+hl+hw)[/tex]

Where, "l" is the length and "w" is the width and "h" is the height

[tex]A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700[/tex]

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

[tex]1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33[/tex]

Thus 9.33 quarts of paint is needed to cover 700 square feet

How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

Answer:this answer is incorrect.

You can’t paint the top of the pool.

You need to subtract 2 of the top layer’s surface area. The answer is you would need to buy 14 quarts.

Step-by-step explanation:

Solve for u. -24 = u ÷ 6

u = ____

Answers

The value of u is -144

Solution:

Given that,

[tex]-24 = u \div 6[/tex]

We have to solve for "u"

From given,

[tex]-24 = u \div 6[/tex]

Convert the division problem into multiplication, by changing the division sign to multiplication sign. Then invert the number to right of division sign

Thus we get,

[tex]-24 = u \times \frac{1}{6}\\\\\frac{u}{6} = -24[/tex]

Isolate for u

[tex]u = -24 \times 6\\\\On\ multiplying\ both\ we\ get\\\\u = -144[/tex]

Thus the value of u is -144

Gilda wrote cletus a check for 184.27, and cletus deposited the check into his checking account where was cletus ' signature

Answers

Answer:only on the back of the check

Step-by-step explanation:

Ben, Tracy, and Tran spent a total of $15 to go skating, they each rented skates at the park for n dollars.

Answers

The problem involves an algebraic expression where Ben, Tracy, and Tran each spend an equal amount, n, on skate rentals that total $15. By setting up an equation, we solve for n, which is $5 per person. This concept is related to understanding budget constraints in financial decision-making.

The student's question about Ben, Tracy, and Tran spending a total of $15 to go skating where they each rented skates for n dollars pertains to algebraic expressions and equations, which is a mathematics concept commonly explored in college-level courses. If we assume that each of them paid an equal amount for the skate rental, represented by n, then we can express the total cost as 3n because there are three individuals.

Given that the total cost was $15, we can set up an equation: 3n = $15. To find the cost of renting skates per person, we solve for n by dividing both sides of the equation by 3, resulting in n = $5. Therefore, each person paid $5 to rent the skates.

Understanding how to solve this problem helps in grasping the concept of budget constraints, as seen in the example of Janet Bain who must decide how to allocate a limited budget of $250 for activities such as skiing and horseback riding. This topic relates to the decision-making processes regarding spending within the constraints of a budget, which is essential in both personal and organizational finance.

Evaluate a+4 when a =7

Answers

If a = 7 then a+4 = 11.

a+4 is basically 7+4.

Hope this helps :)

Answer:11

Step-by-step explanation:if a=7 then that means the problem is 7+4 and that equals 11

The sum of two numbers is 4 1/8 and their difference is 7/8. What are the numbers? Explain how you found your answer.

Answers

Final answer:

To find the two numbers, set up a system of equations and use the method of elimination to solve. The two numbers are 5/2 and 13/8.

Explanation:

To find the two numbers, we can set up a system of equations. Let's say the two numbers are x and y. We have the following information:

x + y = 4 1/8

x - y = 7/8

To solve this system, we can use the method of elimination. We can add the two equations together to eliminate the variable y:

(x + y) + (x - y) = 4 1/8 + 7/8

2x = 5

x = 5/2

Substituting this value back into one of the original equations, we can solve for y:

(5/2) + y = 33/8

y = 33/8 - 5/2

y = 33/8 - 20/8

y = 13/8

Therefore, the two numbers are 5/2 and 13/8.

11+(3p + 5x) +4x - x

Answers

Answer:

I believe the answer is: 33p+62x

Step-by-step explanation:

33p+55x+4x-x

33p+59x+4x-x

33p+63x-(1)x

33p+62x

What is the solution to the equation 4 x minus 6 = 10 x minus 3?

Answers

Answer:

x=-1/2

Step-by-step explanation:

Answer:

The answer is -1/2

Step-by-step explanation:

It is -1/2 because of math

Please help asap i will mark branlist please explain

Answers

Answer: D

Step-by-step explanation: In this problem, we want find the difference between each of the x-term and each of the y-terms.

Let's begin with the x-terms.

Notice that the difference between 1 and 0 is +1, the difference between 2 and 1 is +1, the difference between 3 and 2 is +1, and the difference between 4 and 3 is +1.

Now, looking at the y-terms.

The difference between 5 and 2 is +3, the difference between 8 and 5 is +3, the difference between 11 and 8 is +3, and the difference between 14 and 11 is +3.

To write an equation, we need to know the multiplier and the base.

The multiplier will be equal to the change in y over the change in x.

The change in y is always +3 and the change in x is always +1.

So we have [tex]\frac{+3}{+1}[/tex] which is equal to +3.

This means that the multiplier is equal to 3.

Next, we want to find the base or the value of y when x is equal to 0. The base is equal to  when x is equal to 0.

Now to write an equation from the data in the table, we begin with the equation y = mx + b where m is the multiplier and b is the base.

We know that the multiplier is 3 and the base is 2.

So we have y = 3x + 2.

So your answer is D.

At a school 40% of the sixth graders students said that hip hop is their favorite kind of music. If 100 sixth graders students prefer hip hop music, how many sixth graders are at the school?

Answers

Answer:

If 100 students make up 40% of the 6th grade population, then 50 students make up 20% of the 6th grade population. 20% × 5 makes 100% so if your multiply 50 by 5 you'd get your population.

50 × 5 = 250 sixth-graders

Answer:

60 percent i'm sure

Step-by-step explanation:

Solve the inequality 4/3 < -8/3y

Answers

Answer:

y<-1/2

Step-by-step explanation:

divide each side by -8/3, and flip the sign because you are dividing by a negative.

What was the net yardage the team had after those 4 plays ?

Answers

Answer: Choice A)  -32

A loss of 8 yards is represented as -8

Multiply this by 4 to get -8*4 = -32

If y = f(x) = A(0.5)* + B is increasing on the interval (-0, o), which statement must be true?

A) A > 0

B) A < 0

C) B < 0

D) B > 0

Answers

Answer:

B) A < 0

Step-by-step explanation:

I had the same question, and got it right.

Answer:

B

Step-by-step explanation:

it puts it between -0 and 0

PLEASE HELP ASAP PLEASE PLEASE PLEASE
Graph the solution to the scenario by dragging and dropping a circle/arrow onto the number line.


The roots of Billy's plant grew to 3 inches beneath Earth’s surface. Graph all the possible depths the roots can continue to grow.

Answers

Answer:

i am taking the test now and its going left on negative 3 open circle

Step-by-step explanation:

If eight apples cost the same as four bananas, and two bananas cost the same as three cucumbers, how many cucumbers can Tyler buy for the price of 16 apples?

Answers

Answer:6

Step-by-step explanation:because every 8 apples =3 cucumbers so 8 times 2 =16 so 3 times 2 =6

Answer:

12

Step-by-step explanation:

A cube has a volume of 74 088 cm cubed. What is the surface area of the cube

Answers

Answer:

10 cm²

Step-by-step explanation:

74 088 is the cubed of one side. So you would do [tex]\sqrt[3]{74088}[/tex] which is 42. So one side of the cube is 42. To find the surface area, you would do 6(42x42) which would give you 10584. Remember to put cm²

Solve for P
21 plus p equals 44
P equals what

Answers

I think it’s 23 +21=44

Answer:

p= 23

Step-by-step explanation:

PLS HELP! find the nth term of the sequence

Answers

75

The pattern is going up +4 from the previous time

5-11 is +6
11-21 is +10
21-35 is +14
35-53 is +18
53-75 is +22

how many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches???

Answers

Answer:

4 congruent triangles

Step-by-step explanation:

since there is no one of the sum of two sides is less then the third side, so it's possible to form a triangle

Use straightedge and compass, it can draw 4 triangles at a common base

The number of triangles that can be drawn with side lengths of 3 inches, 5 inches, and 6 inches is 1 triangle due to the triangle inequality theorem.

To determine the number of triangles, we can use the triangle inequality theorem. For a triangle to exist, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 3 + 5 is less than 6, so only 1 triangle can be formed.

Briefly describe whether or not a disconnected graph is always a bad thing.

Answers

Final answer:

Whether a disconnected graph is problematic depends on its application. In network theory, it might represent critical separations, but in connected systems like transportation, it signifies issues. The context, such as economic, ecological, or psychological networks, determines its value.

Explanation:

A disconnected graph is not inherently a bad thing; its value depends on the context in which it is used. For example, in network theory, a disconnected graph might accurately represent separate clusters within a network, indicating areas that do not communicate or interact with each other. This could be critical for understanding the structure of social networks, the Internet, or ecological systems. On the other hand, in applications where connectivity is essential, such as in the design of transportation or communication networks, a disconnected graph could signify a problem that needs addressing. Thus, it's crucial to consider the specific needs of the application or system being analyzed.

Economists use graphs to depict connections and costs, highlighting the importance of understanding the underlying story a graph tells. The fact that all graphs have a genealogy and a narrative is essential in interpreting them correctly. For instance, a graph showing disconnected components in an economic network could indicate areas of inefficient resource allocation or potential opportunities for improvement.

Ultimately, whether a disconnected graph is seen as a disadvantage depends on the goals of the analysis. In ecological studies, reconnecting fragmented landscapes is often beneficial, although careful planning is needed to avoid drawbacks. Similarly, in the context of relational connectivity theory (RCT), connectivity and the loss thereof have profound implications on wellbeing, demonstrating that the concept of dis/connection transcends mathematical graphs and touches on broader socio-psychological themes.

Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4


-128


-100


-64


0

Answers

Answer:

-8(12-4)

-8(8)

=`-64

answer is c

22) 4x + 6y=-6
4x – 4y=-16

Answers

Answer:

4x + 6y = -6

-4x + 4y = 16

10y = 10

y = 1

4x - 4 = -16

4x = -12

x = -3

(-3,1)

What is 763 divided by8

Answers

Answer: 763 divided by 8 equals 95.375 .

Step-by-step explanation: Just put it on a piece of paper and divide.

14
The area of a square garden is 200 m2. How long is the diagonal?
an
10,5 m
les
200 m
100 m
20 m
atio

Answers

Answer: [tex]d = 20m[/tex]

Step-by-step explanation:

The formula for calculating the area of square is given by :

Area = [tex]s^{2}[/tex]

where s is the length of a side , that is

200 =  [tex]s^{2}[/tex]

Therefore :

[tex]s = \sqrt{200}[/tex]

[tex]s = 10\sqrt{2}[/tex]

Recall that the diagonals of a square meet  at right angle , then we can calculate the diagonal by Pythagoras theorem , that is

[tex]d^{2}[/tex] = [tex](\sqrt{10})^{2}[/tex] +  [tex](\sqrt{10})^{2}[/tex]

[tex]d^{2} = 200 + 200[/tex]

[tex]d^{2} = 400[/tex]

[tex]d = \sqrt{400}[/tex]

[tex]d = 20m[/tex]

Amy received a $60 gift card to the frozen yogurt shop for her birthday. The shop sells yogurt sundaes for $4 and yogurt cones for $3. If x represents the number of yogurt sundaes and y represents the number of yogurt cones, complete the following:

a) Write the inequality that represents this scenario

b) List one solution based on your inequality & solve for the amount spent based on the coordinate solution you chose.

Answers

Answer:

a) 4x + 3y ≤ 60

b) 6 for x and 11 for y

Step-by-step explanation:

b) 4x + 3y ≤ 60

4(6) + 3(11) ≤ 60

24 + 33 ≤ 60

57 ≤ 60

The Endeavor, a space shuttle, has speeds of about 27,404 feet per second. Convert the speed into kilometers per hour and miles per hour.

Answers

Answer:

Speed of shuttle in km per hr =        30069.86 km per hr

Speed of shuttle in miles per hr       =    18643.31  miles per hr

Step-by-step explanation:

Speed of space shuttle in feet per second= 27,404 feet per second

As

One foot per second = 1.09728 kilometers per hour,

The speed in kilometers per hour is equal to the feet per second multiplied by 1.09728

So

To find  out speed of shuttle in km per hour we will mutilpy our speed with 1.09728

              27404 ft per sec         =         27404x 1.09728 km per hr

    speed of shuttle in km per hr =        30069.86 km per hr

Now

As we know 1km = 0.621371 miles

To convert this speed into miles per hr we will multiply our speed with 0.621371

        30069.86 km per hr   =    30069.86x0.621371 miles per hr

     speed of shuttle in miles per hr       =    18643.31  miles per hr

Keywords: conversion of measurements

Learn more about  conversion of measurements at:

brainly.com/question/4837736brainly.com/question/1548911

#learnwithBrainly

What is 3(x+3)+7x= ?

Answers

Answer:

10x+9

Step-by-step explanation:

You first have to multiply 3 into the parenthesis because you have to use distributive property.

Once you do that you get 3x+9+7x.

Combine like terms.

10x+9

3(x+3)+7x
3x + 9 + 7x
3x + 7x + 9
10x + 9
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