Mathematics College

Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 7
feet shorter than twice its length. The perimeter of the pool is 75 feet. Write the equation to
represent the length of the pool
(1 Point)

Answers

Answer 1

Answer:

For the first one , the answer is 15 , the equation is 75=2f+2(2f-7.5)

For the Callie question , the answer is 20 , the equation is 110=2f+2(2f-5)

The third answer is 23 and the equation is 144=2(2w+3)+2w

Step-by-step explanation:

Answer 2

The length of the pool is 15 feet and the width is 23 feet.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

Let L be the length of the pool.

According to the given information, the width of the pool is (2L - 7) feet.

The perimeter of a rectangle is the sum of all four sides, so we can write the equation:

2L + 2(2L - 7) = 75

Simplifying this equation:

6L - 14 = 75

6L = 89 + 14

L = 89/6

L = 14.833 ≈ 15

So the length of the pool is 15 feet and the width is (2 × 15 - 7) = 23 feet.

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Related Questions

A hose fills a hot tub at a rate of 4.86 gallons per minute. How many hours will it take to fill a ​267 gallon hot​ tub?

Answers

55 minutes i think. I did 267 divided by 4.86 and it was 54.9 and i rounded it

Hep help help help thanks thanks

Answers

Answer:

2

Step-by-step explanation:

4x+2<=10

4x<=8

x<=2

Answer:

x < = 2

Step-by-step explanation:

(4x + 2)/5 <= 2

4x + 2 <= 10

4x <= 10 - 2

x <= 8/4

x<= 2...ans

Hope it Helps you!!

What's the sum of 14,12,8,and 6

Answers

Answer:

40

Step-by-step explanation:

14 + 12 + 8 + 6 = ?

20 + 20 = ?

20 + 20 = 40

Complete 4-14. I have the answers to the previous questions if needed.
​

Answers

Answer:

d

Step-by-step explanation:

Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.

Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings

Calculate how much in total Harry was paid last week

Answers

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

What is amount?

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

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What is 2(5-3x)+(x-10)

Answers

Answer:

-5x

Step-by-step explanation:

-5x

step to step explaination:

2(5-3x)+(x-10)

=10-6x+x-10

=10-10-6x+x

= -5x

PLEASE MARK MY ANSWER AS BRAINLIEST.

Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.

Answers

Answer:

16.13

Step-by-step explanation:

If 49600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.

Monthly:

Daily:

Answers

Answer:

Monthly = 31000     Daily = 10950000

Step-by-step explanation:

49,600/6=31000

1825 days in 5 years

1825 x 6000

Hope that helps :)

The mean of 4 numbers is 40, what is the sum of the 4 numbers

Answers

Answer:

the sum of 4 numbers is 160

Step-by-step explanation:

Let 4 numbers be a, b, c, d

Mean of those 4 numbers is: (a+b+c+d) : 4 = 40

So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160

=> 160 is the sum of 4 numbers

Factorize this quadratic expression 12x^2-x-6

Answers

Answer:

(4x - 3)(3x + 2)

Step-by-step explanation:

(4x - 3)(3x + 2)

Ava bought a new computer and is now
$249 in debt. How much money does
Ava have?
What does $0 represent in this problem?

Answers

Answer:

If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!

Step-by-step explanation:

0 dollars. Have a good day.

Find the differential of the function.
u = 3x4 + 4

Answers

Answer:

U(x)= 3+4

Step-by-step explanation:

I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.

Hope this helped and have a great day,

Ginny

Answer:

14

Step-by-step explanation:

you could solve this three different ways

1. 4*3 is 12  so add 4 = 16

2. 4 squared because 4*4 = 16

3. draw 4 groups of four to get 16

Which one of the following statements about fractions is correct?
Question 9 options:

1/3 is an improper fraction.

9/7 is a proper fraction.

5/16 is a mixed number.

4/4 is equal to 1.

Answers

Answer:

4/4 is equal to 1 is the only one that's correct

Step-by-step explanation:

Answer:

4/4 and 1/3 are the correct statements

Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?

Answers

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

If the function f (x) is defined by f(x) =x over 2 minus 6

Answers

Depending on how it is written, it could be either of these following solutions:

f(x) = x/2 - 6     or     f(x) = x/(2-6)

For the first, we solve for x by replacing f(x) with 0

x/2 - 6 = 0

x/2 = 6

x = 3

For the second, do the same

x/(2-6) = 0

x/-4 = 0

x = 0

find the the sulotion set/roots of the following equation
1. x(x + 3) = 28
2.3s(s-2) = 12s
3.( t + 1)²+(t - 8) ² = 45

4.(x + 2)² (x - 2)² 16
_______ + __ = _
5 3 3
5. 4 r
______ + ____ = -2
t - 3 2

Answers

1.

x^2 + 3x = 28

x^2 + 3x - 28 = 0

(x + 7)(x - 4) = 0

Therefore,

x = -7 or 4

2.

3s^2 -6s = 12s

3s^2 - 18s = 0

s(s - 6) = 0

Therefore,

s = 0 or 6

3.

t^2 + 2t + 1 + t^2 -16t + 64 = 45

2t^2-14t + 20 = 0

t^2 -7t + 10 = 0

(t - 5)(t - 2) = 0

Therefore, t = 5 or 2

4 .

3(x^2 + 4x + 4) + 5(x^2 - 4x + 4) = 80

8x^2-8x + 32 = 80

x^ 2 - x + 4 = 10

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

Therefore,

x = 3 or -2

5.

since r and t are close on the keyboard, I can assume one was a typo, but it wouldn’t matter which.

8 + t(t-3) = -4(t-3)

8 + t^2 - 3t + 4t - 12 = 0

t^2 + t - 4 = 0

Using the quadratic formula,

t = (-1+-sqrt(1^2 -4(1)(-4)))/2(1)

t = (-1+-sqrt(17))/2

Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer: 2.8 miles

Step-by-step:

We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

Cross Multiply

We multiply the numerator with the dominator

so [tex]7 multiplied by 24[/tex]

and [tex]60 multiplied by x[/tex]

[tex]7*24=60x[/tex]

[tex]168=60x[/tex]

[tex]\frac{168}{60} =\frac{60x}{60}[/tex]

[tex]2.8=x[/tex] or [tex]x=2.8[/tex]

Now for the

Butterfly Method

You would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]

Then[tex]\frac{168}{60}[/tex] simplify

[tex]2.8[/tex] so 2.8 miles in either method

Edward run 1/3 of a mile in 5 minutes. If he runs 3/4 of an hour, how far does he go?

Answers

Answer:

He goes 4 miles

Step-by-step explanation:

x + ( -22 ) = 31
x = ?​

Answers

Answer :

x + ( -22 ) = 31

x = ?

Answer :

x = 31 - ( -22 )

x = 31 + 22 =

x = 53

x = 53 ✔️

Answer:

52

Step-by-step explanation:

x + (-21)=31

x-21=31

x=31+21

x=52

Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 in the answer

Step-by-step explanation:

Which of the following can be used to show that the triangles are congruent

Answers

In ΔPQN and ΔSQN,

∠PQN = ∠SNQ (Given)

∠PNQ = ∠SQN (Given)

NQ = NQ (Common)

∴ ΔPQN ≅ ΔSQN (By ASA Criteria)

Option C is correct.

Hope it helps you....

Please mark as brainlliest!!!

La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad

Answers

Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.

From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:

C=125q + 13500

C = 125(270) + 13500

C = 33750 + 13500

C = 47250

In conclusion, the cost is 47250.

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https://brainly.com/question/25441033

What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation

Answers

Step-by-step explanation:

[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]

[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]

[tex] = 4 \times {10}^{6} [/tex]

[tex] \: [/tex]

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]

Answer:

[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]

[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]

[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]

[tex]↪4 \times {10}^{6} [/tex]

The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen

Answers

Answer:

150 minutes

Step-by-step explanation:

This table represents a relationship Is this relationship proportional or not proportional?

Hours Worked 2 3 4 5 6
Total Income $20.50 $30.75 $41.00 $51.25 $61.50

Select from the drop down menus to correctly complete the statement

The relationship represented by this table is ______ because the unit rates _____​

Answers

Answer:

Proportional and they are all equal to 10.25

Step-by-step explanation:

20.50/2=10.25

30.75/3=10.25

41/4=10.25

51.25/5=10.25

61.5/6=10.25

They all match. they are proportional.

How to find out the least common denominator of 3/4 and 7/10

Answers

Answer:

20

Step-by-step explanation:

you use prime factor method to find the least common divider of denominator 10 and 5

which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)?

Answers

Answer: y = (-2/3)x - 3

Step-by-step explanation:

We'll be using y = mx + b

m = slope

b = y-intercept

Because we know this line will pass through -3, -1, we can input that.

y = mx + b

-1 = (-2/3)(-3) + b

-1 = 2 + b

b = -3

We can input that now to get the equation

y = (-2/3)x - 3

(9x - 8 ) + (x + 10)+(x+2)

Answers

Answer: 11x+4

(simplify?)

Step-by-step explanation:

Remove parentheses.

9x−8+x+10+x+2

Add 9x and x

10x−8+10+x+2

Add 10x and x.

11x−8+10+2

Add −8 and 10.

11x+2+2

Add 2 and 2.

11x+4

Step-by-step-explanation:

Evaluate:

[tex]9x - 8 + x + 10 + x + 2[/tex]

Add the first two terms:

[tex]10 + 2 + x + 2[/tex]

Evaluate:

[tex]10x + x + 2 + 2[/tex]

Add the terms:

[tex]11x + 2 + 2[/tex]

Solution:

[tex]11x + 4[/tex]

ANSWER:

[tex]11x + 4[/tex]

HELP WITH THIS PLS :)0000

Answers

Answer:

5 to 1 power

Step-by-step explanation:

Answer:

5^(15) or 5 to the 15th power

Step-by-step explanation:

When simplified, both equal to 305175..


Jasmine travels 732 miles at an average speed of 65 mi/hr. How long will it take her to reach her destination? Round your answer to
the hundredths place.

Answers

Answer:

11.26 hr

Step-by-step explanation:

Use the following equation:

Time  = distance / speedt = 732 / 65 = 11.26 (rounded)

Answer:11.26 hours

Step-by-step explanation:

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