The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its dimensions?

Answers

Answer 1

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

L=36+8

L=44

So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D


Related Questions

I’m struggling a bit on this question. I could use some help please. Number 12

Answers

Answer:

(-3, -2)

Step-by-step explanation:

Please see the attached pictures for the full solution.

is it ever possible that |x| = -x and can you explain please​

Answers

Answer:

No

Step-by-step explanation:

The reason is that the absolute value of x is always not going to equal a negative.

|-1| = 1 (correct)

|-1| = -1 (incorrect)

Answer:

Never.

Step-by-step explanation:

Whenever there is an absolute value is a variable or number and it's negative or positive, the answer will always be positive ex., |-x| = x |x| = x

A square has an area of 9 cm what is it's side length ​

Answers

Answer:

A=3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

itttttttttttttt isssssssssss =3

Please help solve this and show work 4(x+1)-9=11

Answers

Answer:

x = 4

Step-by-step explanation:

Given

4(x + 1) - 9 = 11 ( add 9 to both sides )

4(x + 1) = 20 ( divide both sides by 4 )

x + 1 = 5 ( subtract 1 from both sides )

x = 4

Answer:

Step-by-step explanation:

4x + 4-9=11

4x  -5  =11

4x -5+5 =11+5

       4x =16

       4x divide by 4 is equal to 16 divide by 4

x is equal to 4

Major went to the Appalachian Fair. The entrance fee was $10, and he purchased 25 tickets. Write an equation to find the price of each ticket if he spent a total of $47.50. You do NOT have to solve it.

Answers

Answer:

25x+10=47.50

Step-by-step explanation:

x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.

help
i need H - G answered ​

Answers

Answer:

See below.

Step-by-step explanation:

H.

f = 3x + 31

c = 12x - 1

3x + 31 + 12x - 1 = 180

15x + 30 = 180

15x = 150

x = 10

same-side interior, supplementary

R.

b = x - 10

g = 4x + 60

x - 10 + 4x + 60 = 180

5x + 50 = 180

5x = 130

x = 26

same-side exterior, supplementary

E.

d = 2x + 13

e = 7x + 5

2x + 13 + 7x + 5 = 180

9x + 18 = 180

9x = 162

x = 18

same-side interior, supplementary

I.

a = 10x - 30

e = 8x + 20

10x - 30 = 8x + 20

2x = 50

x = 25

corresponding, congruent

G.

b = x + 30

h = 5x - 14

5x - 14 = x + 30

4x = 44

x = 11

alternate exterior, congruent

f(x)=2x 2 +9x {Find }f(10) Find f(10)

Answers

Answer:Answer:

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n

Step-by-step explanation:

Let's solve for d.

y=2x2+9xfindf(10)findf(10)

Step 1: Flip the equation.

900d2f4i2n2x+2x2=y

Step 2: Add -2x^2 to both sides.

900d2f4i2n2x+2x2+−2x2=y+−2x2

900d2f4i2n2x=−2x2+y

Step 3: Divide both sides by 900f^4i^2n^2x.

900d2f4i2n2x

900f4i2n2x

=

−2x2+y

900f4i2n2x

d2=

−2x2+y

900f4i2n2x

Step 4: Take square root.

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n2x

2x

Answer:

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n

The value of f(10) for function f(x) = 2x² + 9x is 290.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given function is,

f(x) = 2x² + 9x     (1)

To find the value of f(10),

Substitute x = 10,

f(10) = 2(10)² + 9(10)

f(10) = 2 x 100 + 90

f(10) = 200 + 90

f(10) = 290

The required value of f (10) is 290.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ3

Which is the value of 3b² — b when b = 5?

Answers

Answer:

The answer is

70

Step-by-step explanation:

3b² - b

when b = 5

Substitute the value of b that's 5 into the expression

That's

3(5)² - 5

= 3(25) - 5

= 75 - 5

We have the final answer as

70

Hope this helps you

The perimeter of a rectangle is 150. The length of the rectangle is 9 more than the width. Find the width.

Answers

Answer:

33

Step-by-step explanation:

Length = Width + 9

Perimeter = Length + Length + Width + Width

Perimeter = Width + 9 + Width + 9 + Width + Width = 150

4(Width) + 18 = 150

Subtract 18 from both sides:

4(Width) + 18 - 18 = 150 - 18

4(Width) = 132

Divide 4 on both sides:

[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]

Width = 33

The area of a square is given by the expression s • s square inches. Where s is the length of a side in inches. Write the expression as a power. Then find the are of square of a with a side length of 7 inches.

Answers

Answer:

see explanation

Step-by-step explanation:

A = s × s = s²

Given s = 7 , then

A = 7² = 49 in²

Carson bought 2.5 pounds of gummy bears for $2.75 per pound. How much did he spend on gummy bears? (Round your answer to the nearest hundredths place.) Please help meeeeeeee

Answers

Since this number has a decimal. Break the answer apart. 2.75•2=$5.50. That would be for two pounds. For another additional 0.5 pounds, you would divide $2.75/2= 1.375. This would be rounded up to 1.38. Now you add 5.50+1.38=$6.88

A car is traveling down a highway at a constant speed, described by the equation LaTeX: d=65td=65t, where represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.5 hour?

Answers

Answer: The car travels 97.5 miles in 1.5 hour.

Step-by-step explanation:

Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation [tex]d=65t[/tex], where represents the distance, in miles, that the car travels at this speed in t hours.

To find : Number of miles car travel in 1.5 hour.

Simply put t= 1.5 in the given expression , we get

65(1.5)= 97.5

That means , the car travels 97.5 miles in 1.5 hour.

If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were 25% off?

Answers

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

A. -3
B. 6
C. 5
D. -4

Answers

Answer:

B

Step-by-step explanation:

So we want to find the value of x.

Note that the entire segment (JK) is the sum of the segments JI and IK. In other words:

[tex]JK=JI+IK[/tex]

We know that JK is (2x-1), JI is (2), and IK is (x+3). Substitute:

[tex]2x-1=(2)+(x+3)[/tex]

On the right, add:

[tex]2x-1=x+5[/tex]

Add 1 to both sides:

[tex]2x=x+6[/tex]

Subtract x from both sides. The right cancels:

[tex]x=6[/tex]

And the value of x is 6.

Our answer is B.

Given the diagram below, what is the length of segment ef

Answers

It’s 3.5, I added 4.8 and 2.2 and then divided by 2 to find the average since the line is directly in the middle. Hope this helps :)

Mako's goal is to save $42. He currently has $2 and
plans to save $18 per week. Let x represent the
number of weeks Mako saves money.

Answers

Answer:

5 weeks its 40 divided by 8

Step-by-step explanation:

13.
Given: MZD=57" and mZF = 64°
F
H
E
What is the measurement of ZG?
I really would appreciate it if you could help, plz

Answers

Answer:

59

Step-by-step explanation:

the inside of a triangle is 180° so add 57+64 which brings u to 121 and then take 180-121 to get the answer of 59

It takes 2 finish carpenters 8 days to do the work. Each finsh carpenter ears $37.50 per hour and works 7 hours per day. How much will it cost to hire the finish carpenters?

Answers

Answer:

Total cost= $4,200

Step-by-step explanation:

Giving the following information:

It takes 2 finish carpenters 8 days to do the work.

Each finish carpenter ears $37.50 per hour and works 7 hours per day.

To determine the total cost, first, we need to structure the total cost formula:

Total cost= 2*(37.5x)

x= total number of hours

Now, for 8 days:

Total hours= 8*7= 56

Total cost= 2*(37.5*56)

Total cost= $4,200

algebra 1, i don’t understand step 2

Answers

do u have the books name ?

Math I’m giving brainlist and 20 points

Answers

Answer:

What work are you referring to

1
A line segment has the endpoints (-7,-4) and (9,8). What are the coordinates of the
midpoint of this line segment?

Answers

the midpoint is (1,2)

Evaluate the expression: -7(3t - 8) + 5, when t = -6

Answers

Answer:

147 maybe?

Step-by-step explanation:

-2/5 + 1/2 please help guys I really need it

Answers

Answer:the answer is 1/10

Step-by-step explanation:

80%
as in a decimal 80%

Answers

Answer:

0.8

Step-by-step explanation:

"percent" means "per 100" which is the same as "divide by 100."

To change a percent to a decimal, divide the percent by 100.

80% = 80/100 = 0.8

A farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market

Answers

Step-by-step explanation:

farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market

What is 15% of $79.99?

Answers

Answer:

11.9985

Step-by-step explanation:

79.99 x .15 = 11.9985

Answer:

Final price: $67.99
Discount: $12.00

Explanation:

Discount = Original Price x Discount %/100
Discount = 79.99 × 15/100
Discount = 79.99 x 0.15
You save = $12.00

Final Price = Original Price - Discount
Final Price = 79.99 - 11.9985
Final Price = $67.99

Need help please. Please help me.

Answers

Answer:

Exact Form:

2/45

Decimal Form:

0.04 (4 being repeated)

Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?

Answers

Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car
from Great Cars for S40 plus $0.03 per mile. How many miles must they both drive for
their rental fees to be the same?

Answers

Answer:

750 miles

Step-by-step explanation:

Ronald

Rental fee = fixed cost + variable cost

= $25 + $0.05x

Where x = number of miles

Dixon

Rental fee = fixed cost + variable cost

= $40 + $0.03x

How many miles must they both drive for their rental fees to be the same?

Equate the two equations

$25 + $0.05x = $40 + $0.03x

Collect like terms

0.05x - 0.03x = 40 - 25

0.02x = 15

Divide both sides by 0.02

x = 15 / 0.02

= 750 miles

PLEASE HELP...question says “Sylvia bought four pens for one dollar each and five folders for three dollars each. Write a numerical expression to represent this situation and then find the total cost in dollars”

What the hell im so confused

Answers

Answer:

y= 4(x) + 3(5x)

$19

Step-by-step explanation:

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