5. The length of a rectangle is 3 inches less than its width. If the
perimeter is 74 inches, find the dimensions of the rectangle.

5. The Length Of A Rectangle Is 3 Inches Less Than Its Width. If Theperimeter Is 74 Inches, Find The

Answers

Answer 1

Answer:

length is 17 in, width is 20

Step-by-step explanation:

let's shape this as an algebraic equation, where x= the length of one side.

since the width is 3 inches longer than the length, x will be the length and x+3 will be the width.

the perimeter is 74 in, and the perimeter is the added length of all sides. in a rectangle, 2 sides are the length and 2 sides are the width, so:

74 = 2x + 2(x + 3)

let's distribute the 2.

74 = 2x + 2x + 6

now, we combine the x's.

74 = 4x + 6

after this step, subtract 6 from the right to add it to the left side.

68 = 4x

finally, divide both sides by 4.

17 = x

perfect! now that we know the length, we just have to add 3 to find the width.

17 + 3 = 20


Related Questions

"The sum of three times a number and 8 is -22" What is the equation?​

Answers

Answer:

(-10×3) + 8 = -22

Evaluate 5w-w/x when w=6 and x=2

Answers

Substitute.

5(6) - (6)/(2)

30 - 6/2

30 - 3 = 27

Given the equation `x+2y=4`
What will you get if you want to multiply the entire equation by 2?

Answers

Answer:

2x+4y=8

x+2y=4

2(x+2y=4)

2x+4y=8

Giving Brainlyest

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer:

Answer: SSS

Step-by-step explanation:

Triangle congruence

We need to find out if triangles ABC and DCB are congruent.

The image shows one tick mark on sides AC and BD, thus they are congruent.

Two tick marks are shown on sides AB and CD, thus they are congruent.

Finally, both triangles share the side BC.

Being all three sides congruent, the triangles are congruent by the SSS (side-side-side) congruence theorem.

Answer: SSS

Help me please asap!!

Answers

Answer:

67

Step-by-step explanation:

180 - (53 + 60) = 67

I NEED HELP ASAP
The floor of a rectangular pen has a length that is two feet more than four times its width. What is the area of the pen?

Answers

length = 4w + 2

A = length x width
= (4w + 2) . w
= 4w^2 + 2w ft square

i need help plz plz​

Answers

Answer:

42ft

Step-by-step explanation:

I think

HERE IS A DIFFERENT ONE

Answers

Answer:

C

Step-by-step explanation:

What single transformation maps ∆ABC onto ∆A'B'C'?

Answers

Answer:

A rotation 90 degrees clockwise

Step-by-step explanation:

Solve this equation

2 x + 3 = x - 4

Answers

Answer:

-7

Step-by-step explanation:

2x + 3 = x - 4

so you first add four to both sides of the equal sign:

2x + 3 = x - 4

    + 4       + 4

making the equation:

2x + 7 = x

you now subtract 2x from both sides:

2x + 7 = x

-2x       - 2x

to get:

7 = -1x

you then divide both sides by -1:

7/-1 = -1x/-1

to get:

-7 equals x or x = -7

If the slope of line a is -4/3 and the slope of line b is 3/4 line a and line b are perpendicular

A: True
B: False
C: False most of the time

Answers

Answer:

hi! so for perpendicular it's negative reciprocal!

so is -4/3 and 3/4 negative reciprocals?

oh and remember reciprocals are flipped!

if you still don't get it let me know aha

Answer:

True

Step-by-step explanation:

e Whenever you need to find the slope of a line, it is always the reciprocal with the opposite sign. For example, if your slope was 5, your slope to make it perpendicular would be -1/5. If you had the slope of -8/5, the perpendicular sope would 5/8.

help to find the measurment of the side indicated?????

Answers

Answer:

TQ=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

my name is jeff so i am the answer to the glitching system located within the matrix of my virtual unkept consistencies of

PLEASEEE HELP ME ANWSER THISSS ♥️♥️♥️♥️​

Answers

What proof do you need?

PLEASE ANSWER ALL THE QUESTIONS WILL MARK BRAINLIEST!!!

Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles.

What tiles need to be added to both sides to remove the smaller x-coefficient?
A. 5 negative x-tiles
B. 5 positive x-tiles
C. 6 negative x-tiles
D. 6 positive x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?
A. 2 negative unit tiles
B. 2 positive unit tiles
C. 4 negative unit tiles
D. 4 positive unit tiles

What is the solution?
A. x = –6
B. x = –2
C. x = 1
D. x = 2​

Answers

Answer:

1. A

2. C

3. A

Explanation:

5x+(-2)=6x+4

-5x -5x

(-2)=1x+4

-6=x

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

Batteries cost $5 pack. How many packs did Ryan buy if he spent $25

Answers

Answer:

The answer is 5

Step-by-step explanation:

if coorect mark brainliest

In a Jeopardy game, your score was at -450. You got the next two questions correct! First, you answered a 150 point question correctly. Secondly, you answered a 500 point question correctly.

help pls!!!

Answers

Answer:

wait what's the question?

Answer:

You would have 200 points

Step-by-step explanation:

-450+150+200=200

Translation moves P(3,5) to P’(6,1). What are the coordinates of the image of point (-3,5) under the same translation?

Answers

Answer:

B(−6,4), D (−5,−4)

Step-by-step explanation:

Thats the answer to it!

Stefanie is painting her bedroom. She can paint 12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one
hour?
A 37
B 61 2/3
C 92 1/2
D 12 1/3

Answers

Answer:

37

Step-by-step explanation:

The ratio of football players to volleyball players is 7 : 3. If there are 210 football players,
how many volleyball players are there?

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

210 divided by 7 = 30

30 x 3 = 90

0.1 is rational because it can be written as?

Answers

Answer:

0.1 is rational as it can be written as [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Rational decimals can be expressed as a fraction using integers, and 0.1 = [tex]\frac{1}{10}[/tex], so it is rational.

Answer:

There are various ways of writing 0.1

1/10

110

10%

Those are some ways for writing 0.1

Step-by-step explanation:

A room that is in the shape of a cube has a capacity of 1331 cubic feet. The room is ____ feet long​

Answers

Answer:

200020ft

Step-by-step explanation:

Milan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $48 and costs an additional $0.20 per mile driven. The
second plan has an initial fee of $57 and costs an additional $0.15 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
If you do not have both of the answers do not bother to reply.

Answers

Answer:

For 180 miles of driving the two plans will cost the same, at a price of $84.

Step-by-step explanation:

1 - Set up the system of equations

Let x represent the miles driven

Let y represent the cost

First Plan:

y = $48 + $0.20x

Second plan:

y = $57 + $0.15x

Note that both are set equal to y, that means we can substitute y in one equation with the other equation because y = y

2 - Substitute

$57 + $0.15x = y = $48 + $0.20x

$57 + $0.15x = $48 + $0.20x

3 - Get the variables on one side and the constants on the other and then get x alone

 $57 + $0.15x = $48 + $0.20x

- $48                 - $48

   $9 + $0.15x = $0.20x

         - $0.15x  - $0.15x

                  $9 =  $0.05x

           $9/0.05 = $0.05x/0.05

                    x = 180 Miles

"For what amount of driving do the two plans cost the same?

For 180 miles of driving the two plans will cost the same.

4 - Plug 180 in for x in either equation and solve to find the cost at which they equal

y = $48 + $0.20x

y = $48 + $0.20(180)

y = $48 + $36

y = $84

"What is the cost when the two plans cost the same?"

$84 is the cost when the two plans cost the same

Hope this helps

Solve for n: 2n - 4 < 16

Answers

Answer:

n<10

Step-by-step explanation:

Answer:

n=10 ,,,,,,,,,,,,,,,

Upload the worksheet with your constructions below.

Answers

Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

If the marginal revenue (in dollars per unit) for a month is given by MR = −0.5x + 400, what is the total revenue from the production and sale of 30 units?

Answers

Given:

Marginal revenue (in dollars per unit) for a month is

[tex]MR=-0.5x+400[/tex]

To find:

The total revenue from the production and sale of 30 units.

Solution:

We know that, total revenue is integration of marginal revenue with respect to quantity.

[tex]TR=\int MR dx[/tex]

[tex]TR=\int (-0.5x+400) dx[/tex]

[tex]TR=-0.5\int x dx+400\int 1 dx[/tex]

[tex]TR=-0.5\times \dfrac{x^2}{2}+400x[/tex]

Now, substitute x=30 in the equation of Total Revenue (TR).

[tex]TR=-0.5\times \dfrac{30^2}{2}+400(30)[/tex]

[tex]TR=-0.5\times \dfrac{900}{2}+12000[/tex]

[tex]TR=-225+12000[/tex]

[tex]TR=11775[/tex]

Therefore, the total revenue from the production and sale of 30 units is $11,775.

Between what two thousands is 9,302?

Answers

Answer:

that would be if you were to rounded you 9,302 it would = 10,300 cuz

Step-by-step explanation:

The organizers of a crossword competition stated the rules for how many participants would win prizes. The rules said one of every three would win a prize. Which ratio is equivalent to the ratio in this situation?
A. 5/15
B. 12/3
C. 10/5
D. 2/8​

Answers

Answer:

A. 5/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 5/15

Factor:
25y + 27x
Plz help

Answers

Answer:

25y+27x

Step-by-step explanation:

You cannot factor this any further

please help asap

The two lines graphed below are not parallel. How many solutions are there to the system of equations?





A.

Infinitely many


B.

Two


C.

One


D.

Zero

Answers

Answer:

one

Step-by-step explanation:

they meet at only one point, thus their system of equations has as solution only those coordinates.

Which expression uses the commutative property to make it easier to evaluate -12 · 13 · 1/3?
A. 12 · 13 · 1/3
B. -12 · 1/3 · 13
C. -1/3 · 13 · 12
D. 1/3 · 13 · (-12)

Answers

Answer:

Not sure it's either B. or D I put B.

Step-by-step explanation:

The commutativity property is used to get

-12×13×1/3 = -12×1/3×13

What is Commutative property?

According to mathematics, an arithmetic operation is commutative if switching the operands' positions has no effect on the computation's outcome.

When two numbers A and B are provided, the commutative property of the numbers formula is as follows:

A+B=B+A

A×B=B×A

A-B≠B-A

A÷B≠B÷A

According to the commutative property formula, the outcome is unaffected by the sequence in which two integers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, thus it cannot be altered.

How to solve?

The commutativity property is used to get

-12×13×1/3 = -12×1/3×13

such that the evaluation becomes easier, which is to get 12×1/3=4.

The commutativity property is used as follows:

-12×(13×1/3)=-12×(1/3×13)

Learn more about commutativity property from-

brainly.com/question/778086

#SPJ2

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