The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the length of the base?

Answers

Answer 1

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

[tex]p = 2w + 2l[/tex]

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width.  We can express that as [tex]w = 3l - 6[/tex].

We can plug that definition of w into the perimeter equation to find the length:

[tex]p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8[/tex]

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

[tex]p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18[/tex]

So the width is 18


Related Questions

“Find the (average) of the following set of data:12,20,1,20,8

Answers

Answer:

12.2

Step-by-step explanation:

First add all numbers.

Then divide it by the amount of numbers you added.

Then you have the average.

Hope this helped.

Answer: 12.2


Explanation: First you must add all the numbers up then divide them by the total amount of numbers example there are five numbers and they equal 20 then it will be 4 hoped I helped have a nice day (:

please help will choose brainliest!!!!!

Answers

Answer:

The answer is (C)

x=y+z+7

i think its C. Well it gotta be it

Section 4 write a rational number for 2 out of 4 of the points on the number line? Pls help

Answers

Answer:

All the points to the right of 0 are rational

Step-by-step explanation:

rear above

All the points on the right of 0 are rational

48 _ (-8) =(6)
What’s missing Need the answer ASAP

Answers

Answer:

[tex]divided[/tex]

Step-by-step explanation:

your need to divide 48 by 8 to get 6

If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?

Answers

Answer:

The remainder is: f(-1) = -4

Step-by-step explanation:

We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)

Given the function

[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]

It is stated that the function f(x) is divided by x + 1.

Thus, substituting x = -1 in the function to find the remainder f(-1)

i.e

f(-1) = (-1)⁴ - 5

f(-1) = 1 - 5

f(-1) = -4

Therefore,

The remainder is: f(-1) = -4

Answer:

9

Step-by-step explanation:

According to the graph below. What is the
distance traveled in seven hours?

Answers

i say its 280 miles because the point is at half of 320 and 240 and 320-240 is 80 and half of eithegy is 40 therefore 240+40 is 280

A building is 5 feet taller than twice the height of a 12-foot-tall tree. Which expression represents the height of the building, in feet?

5 x 2 x 12

2 x 12 + 5

2 x (12 + 5)

5 x (2 + 12)

Answers

Answer:

d

Step-by-step explanation:

5x2x12 is 120

2x12+5 is 29

2x(12+5) 19

5x(2+12) 70

i suck at math please help lol

Answers

Answer:

1

Step-by-step explanation:

since the 2 functions equal each other:

-2x + 3 = 4x - 9

add -2x to both sides

3 = 6x - 9

add 9 to both sides

12 = 6x

divide by 6

2 = x

you have x, now find y, you just need to plug 2 into one of the equations instead of both bc they both equal the same anyway

-2(2) + 3

-4 + 3

-1 = y

Now we'll find x + y, input them and it's 2 + (-1), which is 1

Multiply and simplify
3√50 x √22

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times {5}^{2} } \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times 5 \sqrt{2} \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 15 \sqrt{ {2}^{2} \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 15 \times 2 \sqrt{11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \sqrt{11} [/tex]

what are the smallest values of p and r that satisfy the definitions for parallel lines and perpendicular lines?

Answers

Answer:

p = 2

r = 4

Step-by-step explanation:

If you're doing parallel it needs to be like "side by side." The least you can do is 2 because you'll need at least one other line to be beside the original.

Perpendicular lines are intersecting, so if you intersect them as a plus sign, you'll make at least four right angles.

The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all.

Answers

Answer:

3/4 or 45 minutes each

Step-by-step explanation:

3 hours are equivalent to 180 minutes which you can then divide by 4. 180/4=45. 45/60 when simplified completely equals 3/4 of an hour

Helppp plzzz I’m trying to pass!!!!

Answers

Hi there! The answer is A. This is because, 6•3=18 and 10•3=30. Hope this helps and please mark brainliest!

Which equation represents a function that is nonlinear?

Answers

Answer:

y = x^2 - 25

Step-by-step explanation:

curvy so nonlinear

What is the slope of the line that passes through the points(-4, 0) and (2, 0)?
Write your answer in simplest form.

Answers

Given:

Two points are (-4, 0) and (2, 0).

To find:

The slope of the line that passes through the given points.

Solution:

The line passes through the points (-4, 0) and (2, 0). So, the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{0-0}{2-(-4)}[/tex]

[tex]m=\dfrac{0}{2+4}[/tex]

[tex]m=\dfrac{0}{6}[/tex]

[tex]m=0[/tex]

Therefore, the slope of the line that passes through the points (-4, 0) and (2, 0) is 0.

given that 1/5<1/y<1/3, find all possible values each expression

Answers

The possible value of the expression is 5 > y > 3

How to determine the possible value of the expression?

The expression is given as

1/5 < 1/y < 1/3

Take the exponent of the sides of the inequality

(The inequality sign would change)

So, we have

5 > y > 3

Hence, the possible value of the expression is 5 > y > 3

Read more about expression at

https://brainly.com/question/723406

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Question 10 of 10
Use the equation e/5 = 30 to solve the following problem.
Mary sells fruit with four of her friends. They want to make
enough money so that, after splitting the earnings evenly,
each person earns $30. How much does the fruit stand
need to make?
A. $300
B. $60
C. $350
D. $150

Answers

I think it’s c but I’m not sure

Answer:

The answer is for sure!!!!! $150!!!

Step-by-step explanation:

$150!!!!!!!!!!!!!!!!!

Help pls with the pic

Answers

Answer:

B. (6x+3)(6x-3)

Step-by-step explanation:

distribute to get answers

Answer:

B) (6x+3) (6x - 3)

Step-by-step explanation:

The probability that Joe passes his exams is 0.7 and the probability that he wins the raffle is 0.12. What is the probability that Joe fails his exams and wins the raffle?

Answers

Answer:

3.71 probability

y + 2 = 3(x - 4)
a. (2,-4)

b. (-2,4)

c. (4,-2)

d. (-4,2)

Answers

Answer:

B

Step-by-step explanation:

Factor by group

Is the following equation correct?

Answers

Answer:

no

Step-by-step explanation:

it equals 15, not 15% which is 0.15

hope it helps :D pls mark brainliest :D

Picture with question attached

Answers

Answer:

Its a black picture

Step-by-step explanation:

Answer:

it is black pic i don't now the answer.

Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *

Answers

Answer:

if it's wednesday

Step-by-step explanation:

of 7
Make x the subject of the formula
WX
=a
р
Pleas helppp

Answers

x = (qp)/w                

Simplify and get x on one side of equation

Can someone help me figure out what is 5/12 of 1 ⅓ =

Answers

Answer:

Gotta multiply them

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Of is another word for multiplication in math.

This means that to solve this, we will do:

5/12 × 1 ⅓

Make them both improper fractions

5/12 × 4/3

Multiply there numerators and denominators

20/36 =

5/9

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. How many people could be transported to the lake house if the students rented 5 small cars and 8 large cars? How many people could be transported to the lake house if the students rented ss small cars and ll large cars?

Answers

68 people can be transported to the lake house.

FINDDDD VALUE OF Z !!!!!

Answers

I can help you did you ask Siri?

Just take a picture on Siri the would lead you to the answer.

Step-by-step explanation:

I hope that helps please give me Brainliest

z=9 hope this helps!!!

p(x)=6/7x+4 What is P(42)

Answers

40

P(42) = (6/7)(42) + 4 = 36 + 4 = 40

SOMEONE PLS HELP!! 15 points

Answers

Answer:

5.3

Step-by-step explanation:

What is the image of the point (-5, 6) after a rotation of 90° counterclockwise about
the origin?

Answers

Answer:

(-5,-6)

Step-by-step explanation:

This is beacuse you point started out in the 2 quadrant which is (-x,+y) and when rotated 90 degrees counterclockwise (to the left) it turns the point from (-x,y) to (-x,-y) and is put in the 3rd quadrant.

Hope this helps!

If you have any questions ask.

D 3b. Triangle A has an area of 30cm² and a height of 5. What is the base? ​

Answers

The base of triangle will be 12 cm.

WHAT IS TRIANGLE ? HOW TO FIND ITS AREA ?

A triangle is a three-sided polygon.

The area of a rectangle is commonly known to be b*h, where b is the base and h is the height. Using the formula for a rectangle, we can get the area of a triangle.

A rectangle is split into two congruent triangles by a diagonal. The area of each triangle is equal to half the size of the rectangle.

As a result, the triangle's area A may be calculated using the equation A=1/2*b*h, where b denotes the triangle's base and h its height.

CALCULATION

AREA OF TRIANGLE = 1/2*b*h

base = area of triangle * 2 / h

         = 30 * 2 / 5

         = 12 cm.

learn more about triangles here :

brainly.com/question/2773823

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