If the width of a rectangle is 9 ft less then twice it’s length and the perimeter is 30 feet, what are the dimensions of the rectangle?

Answer:

Let's define.

L = rate at which the large pump fills the pool.

S = rate at which the small pump can fill the pool.

We have two relations:

"Two large and 1 small pump can fill a swimming pool in 4 hours."

(2*L + S)*4h = 1

"One large and 3 small pumps can also fill the same swimming pool in 4 hours."

(L + 3*S)4h = 1

Then we have the system of equations:

(2*L + S)*4h = 1

(L + 3*S)4h = 1

To solve this system, we need to isolate one of the variables in one of the equations, i will isolate S in the first equation:

S = 1/4h - 2*L

Now we can replace that in the second equation:

(L + 3*(1/4h - 2*L))4h = 1

L + (3/4h) - 6*L = 1/4h

-5*L = 1/4h - 3/4h = -2/4h

L = (2/4h)*(1/5) = (2/20h) = 1/10h

This means that one large pump needs 10 hours to fill one pool.

With this, we can find the value of S:

S = 1/4h - 2*L = 1/4h - 2/10h = 5/20h - 4/20h = 1/20h

This means that a small pump needs 20 hours to fill a pool.

Now we can answer:

How many hours will it take 4 large and 4 small pumps to fill the swimming pool?

We need to solve the equation:

(4*(1/10h) + 4*(1/20h))*T = 1

We need to find the value of T.

T = 1/((4*(1/10h) + 4*(1/20h)) = 1.67 hours.

This means that 4 large and 4 small pumps need 1.67 hours to fill a pool.

Answer:

easy uzi tay k or sofaygo

Step-by-step explanation:

Answer:

Tree C was the tallest when planted.

Step-by-step explanation:

If you look at the graph you'll see that the height at 0 months is 10 inches.

Answer:

a. Tip is before the discount so the waiter will get;

= 42 * 18%

= $7.56

b. New total;

Coupon of 15% off applies;

= 42 * (1 - 15%)

= $35.70

Add the tip;

= 35.70 + 7.56

= $43.26

Answer:

79 that the answer.........

Answer:

its 79

Step-by-step explanation:

it was easy :)

Thanks for easy question

Answer:

-100%

Step-by-step explanation:

Answer:

-100

Step-by-step explanation:

I got u bro

Answer:

The probability is

Step-by-step explanation:

11%

Answer:

its b

Step-by-step explanation:

if negative 5 is an absolute value it becomes just a regular 5. Therefore it would be equivalent to -3+5. (sorry if I'm wrong)

Answer:

No solution

Step-by-step explanation:

2x + 4y = 8

-2x - 4y = 8

0 ≠ 16

Answer:

it would be 95 divided by 60

Step-by-step explanation:

but the answer to that is 1.5833333333333333333

Answer:

gl*ck 9 put em out like a light

Step-by-step explanation:

Coupe tinted like a thief in the night

Answer:

the way you worded this slightly confused me, but what i think your asking is if same side interior angles are complementary. and if so i believe the answer would be yes.

Step-by-step explanation:

im sorry if im either wrong or didn't answer your question correctly.

Answer:

15 boxes!

Step-by-step explanation:

Hope this helps!

The number of boxes of spaghetti required to feed 50 people will be equal to 15 boxes.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is.

A ratio divides two quantities to compare them.

As per the given information in the question,

Total number of people who attended the party first time = 20

Number of spaghetti boxes required to feed 20 people = 6

Let the number of boxes required to feed 50 people be x.

So, the ratio will be,

6 boxes = 20 people

x boxes = 50 people

Perform cross-multiplication,

20x = 50 × 6

x = (50 × 6)/20

x = 5 × 3

x = 15 boxes.

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Answer:

2 * 3 * 7 = 42

Step-by-step explanation:

2,3 and 7 are prime numbers

Answer:its b

first off its a straight line ill give it that but its not going through the origin is think its b

hoped this helped lmk if it did

Answer:

dilation

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

on edge

Answer:

B. The slope is -2, and the y-intercept is 12

Step-by-step explanation:

did it on edge 2020

Answer:

i might be wrong but i think you need to multiply 0.59× 5

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

Answer: [tex]x = -10[/tex]

Step-by-step explanation:

Hey there! I hope these steps will help you accomplish this problem :)

Step 1: Remove the parentheses.

[tex]6x - 2x + 9 = -31[/tex]

Step 2: Simplify.

                             [tex]6x - 2x + 9[/tex] to [tex]4x + 9[/tex].

[tex]4x + 9 = -31[/tex]

Step 3: Subtract 9 from both of the sides.

[tex]4x = -31 - 9[/tex]

Step 4: Simplify.

                            [tex]-31 - 9[/tex] to [tex]-40[/tex].

[tex]4x = -40[/tex]

Step 5: Divide both of the sides by 4.

[tex]x = -\frac{40}{4}[/tex]

Step 6: Simplify.

                             [tex]\frac{40}{4}[/tex] to [tex]10[/tex].

[tex]x = -10[/tex]

Answer:

Step-by-step explanation:

Here you go mate

step 1

6x-(2x-9)=-31  equation

step 2

6x-(2x-9)=-31  simplify

6x+-1(2x-9)=-31

step 3

6x+(-1)(2x-9)=-31  distribute

6x+-1(2x)+(-1)(-9)=-31

6x+-2x+9=-31

step 4

(6x+-2x)+(9)=-31  combine the terms that are alike

4x+9=-31

step 5

4x+9(-9)=−31(-9)  subtract-9

4x=-40

step 6

4x/4=-40/4  divide by 4 because 4 is a number that can make the division easier

answer

x=-10

Answer:

y=mx+b is slope intercept form

In slope intercept form, m represents the slope, b represents the y-intercept and x and y represent the values of x and y on a graph.

Therefore, the slope is m and the y-intercept is b

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Answer:the answer is D 158

Step-by-step explanation:Pls mark me brainliest!

The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228

"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."

Given,

(i) 10 yards

1 yard = 0.0009144

then 10 yard = 10*0.0009144 = 0.009144 km

(ii) 44,880 feet

1 feet  = 0.00030478

then 44,880 feet = 44,880*0.00030478 = 13.678 km

(iii) 15,560 yards

15,560 yards =  15,560 *0.0009144 = 14.228 km  

Hence, D is the correct option.

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