The perimeter of a rectangle is 8(2x+1) inches. The length of the sides of the rectangle are 3x+4 inches and 4x+3 inches. Find the length of each side of the rectangle. (You will have two answers.)

Answers

Answer 1

Answer:

The lengths of the sides of the rectangle are 13 inches and 15 inches

Step-by-step explanation:

The perimeter of a rectangle

Given the two sides of a rectangle a and b. The perimeter of the rectangle is:

[tex]P=2(a+b)[/tex]

We are given the perimeter of a rectangle as:

[tex]P=8(2x+1)[/tex]

And each side has a length of 3x+4 and 4x+3. Calculating the perimeter:

[tex]P=2(3x+4+4x+3)=2(7x+7)[/tex]

We set up the equation:

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

Dividing by 2:

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

Operating:

[tex]8x+4=7x+7[/tex]

Subtracting 7x:

[tex]x+4=7[/tex]

Subtracting 4:

x=3

The length of each side is:

3x+4=3*3+4=13

4x+3=4*3+3=15

The lengths of the sides of the rectangle are 13 inches and 15 inches


Related Questions

1
Which shows the equation in slope-intercept form of a line with a slope of 4 and a y-intercept of -5?

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

Slope-intercept form:  y = mx + b

m = slope

b = y-intercept

Since 4 is the slope and -5 is the y-intercept we will substitute it for m for the slope and -5 for the b.

y = 4x + (-5)

y = 4x - 5

A ball is thrown directly upward from a height of 7 ft with an initial velocity of 20 ​ft/sec. The function ​s(t)-16tsquared plus 20t plus 7 gives the height of the​ ball, in​ feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.

Answers

0.625 i think its also
13.25ft?

Last year, Norman made 10 free trows per game.This year he makes 12 free trows per game.What percent increase in the number of free trows he makes this year.

Answers

Answer:

20%

Step-by-step explanation:

Given that:

Last year : number of free throws per game = 10

This year ; number of free throws per game = 12

Percentage increase in the Number of free throws he makes this year:

[(this year - last year) / last year] × 100%

[(12 - 10) / 10] * 100%

(2 / 10) * 100%

0.2 * 100%

20%

Hence, there was a 20% increase in the Number of free throws made this year.

consider the solution to the problem

problem: -3(2-y)+2=2
step 1:-6-y+2=2
step 2: -4-y=2
step 3: -y=6
step 4: y=-6

the first mistake is made in step. ?

Answers

Answer:

step 1

Step-by-step explanation:

What number is 45% of 70?

Answers

Answer:

31.5

Step-by-step explanation:

Answer:

64%

Step-by-step explanation:

[tex]\frac{45}{70}[/tex]x100 = 64.285714

hope this helped

What is the slope of the following graph?

Answers

Answer:

2/3

Step-by-step explanation:

Marsha's curtain company is making curtains for a local hotel. She wants each curtain to be 24 inches long. At the fabric store, fabric is sold by the foot. If Marsha's curtain company wants to make 75 curtains, how many feet of fabric will she need?

Answers

Answer:

75x24 is...

Step-by-step explanation:

Solve for b.
24 = -6b

Answers

Answer:

b= -4 thats the answer i think

The area in square feet of a rectangular field is x? - 90x + 2000. The width, in feet, is x - 40. What is the length, in feet?

Answers

Answer:

140

Step-by-step explanation:

-90x+2000          -90+(-50)

------------------- = --------------------- = 140/1 = 140

      x-40                  1

How many solutions does the equation 2 (p+ 7) = 4 - 8p have?
A.One solution
B.Infinitely Many Solutions
C.No Solution

Answers

Answer:

one solution p=-1

Step-by-step explanation:

The equation 2 (p+ 7) = 4 - 8p has only one solution which is -9.

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

We need to find the solutions does the equation 2 (p+ 7) = 4 - 8p have;

Now solving for p;

2 (p+ 7) = 4 - 8

Open the bracket;

2p+ 14 = 4 - 8

Combine the like terms;

2p = -4 - 14

2p = -18

p = -18/2 = -9

Therefore, the equation 2 (p+ 7) = 4 - 8p has only one solution which is -9.

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ5

Write this as an expression (make it look like math): you lost 5 candies *

Answers

x + (-5)

x - 5

and so on

Dis work?

To write 8.765 x 10^-5 in standard​ form, what should you do​ first? Then write the number in standard form.

Answers

Answer:

Nan for standard form There is no standard form form this problem

Step-by-step explanation:

x10^ is the only thing i could get out of this problem

Hope this help a little

Please answer this!

Answers

Answer:

the answer is 96 students.

Answer:

96 students love the museum.

Step-by-step explanation:

40% (0.40) * 240 = 96

Multiply the percentage to the total amount to find the amount remaining.

96 students love the museum.

Jackie is purchasing a $200 coat at 15% off. There is a $5.00 shipping charge to have the item
shipped to her house. What is the final cost of the coat?
PLZZZZ I NEED THISS

Answers

Answer:

175$

Step-by-step explanation:

200$ at 15% = 170

170$ + 5.00$ = 175$

I need help with this Geometry

Answers

The answer is the coordinates are (3,3)


HELPP MEEE PLEASE SO YOU CAN HELP ME GET MY ALBUMS BACK AND POSTERS AND EVERYTHING

Answers

The answer is letter C

Explanation :

Answer:

The answer is C!

Step-by-step explanation:

Expand the square:

( − 4 ) ^2

( − 4 ) ( − 4 )

Distribute :

(x−4)(x−4)

( − 4 ) − 4 ( − 4 )

Distribute  again:

( − 4 ) − 4 ( − 4 )

^ 2 − 4 − 4 ( − 4 )

Distribute  again:

^2 − 4 − 4 ( − 4 )

^2 − 4 − 4 + 1 6

Combine like terms :

^2 − 4 − 4 + 1 6

x^2−4x−4x+16

Solution :

2 − 8x+ 1 6

Hope this helps! If so please mark brainliest!!

3×4 what is the answer

Answers

Answer:

12

Step-by-step explanation:

3 + 3 + 3 + 3 = 12

Brainliest??? Plzzz!!!.....

The Hu family goes out for lunch, and the price of the meal is $42. The sales tax on the meal is 7%, and the
family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?

Answers

53.34 should be the answer I’m 100% sure let me know if u need any other help with math

The world is made up of two classes—the hunters and the huntees. Luckily, you and I are hunters.



What can you conclude Rainsford means when he states hunters and huntees?

Answers

hunters are the survivors and the ones who don't got to worry abought getting killed and huntees are the ones getting hunted

online bidding for a purse increases
by $5 for each bid After the $60 initial bid

Answers

Answer:

if you're asking for a linear equation y=5x+60

Amelia had some moneynsaved before she started saving $2 each week.After 3 weeks, her total savings were $16. how much money had amelia saved at the begining of 3 weeks?

Answers

Answer:

genuinely hope no one answers your srs questions.

Step-by-step explanation:

also, I looked at all of your questions, this is a school app not a dating app. weirdo.

The equation -x = y + 7 written in slope-intercept form is

y = x + 7
y = - x - 7
y = - x + 7

Answers

the answer is y= -x -7

Answer:

Then y = -1x - 7.

Step-by-step explanation:

Can someone please help me with this???
I'm so confused

What is the value of the expression [(5)(9) / x] + 6 when x = 3?
a. 5
b. 15
c. 18
d. 21

Answers

21

rely on memes and you'll find the right path to take, child.

D. 21 for the answer

i need help finding the gcf of these polynomials

Answers

Answer:

3z^2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Mr. Garcia wants to leave a 15% tip to his server at Applebee's. If his total was $75, how much would his total be including the tip? *

$11.25
$90.00
$86.25
$75.15

Answers

Answer:

C

Step-by-step explanation:

Turn the percent into a decimal: 15% = 0.15

Multiply the decimal by 75: 0.15 x 75 = 11.25

Add the tip to the total: 75 + 11.25 = 86.25

Three less than a number is greater than -4 and less than -1

Answers

Answer:

Step-by-step explanation:

-5

Scrieti fiecare dintre nr 24, 36 si 60 ca: a) produs de 2 factori, diferiti de 1 b) produs de 3 factori, diferiti de 1 c) produs de cat mai multi factori, diferiti de 1

Answers

Answer:

Step-by-step explanation:

1. Produse cu 2 factori

24 = 4 * 6

36 = 3 * 12

60 = 6 * 10

2. Produs de 3 factori

24 = 2 * 3 * 4

36 = 2 * 3 * 6

60 = 2 * 3 * 10

3. Cât mai mulți factori posibil

24 = 2 * 2 * 2 * 3

36 = 2 * 2 * 3 * 3

60 = 2 * 2 * 3 * 5

Determine the x- and y-intercepts of the graph of x−4y=8 . Then plot the intercepts to graph the equation.

Answers

Answer:

x=8 y+-2

Step-by-step explanation:

E

I WILL MARK BRAINLEST (the thing I pressed idk if it the answer)

Answers

Answer:

-2

Step-by-step explanation:

what is the slope when the points are (5, -20) and (-10, 40)

Answers

Answer:

m=    negative 4

Step-by-step explanation:

The slope would be -4 . Here is the work:
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