All categories

3 years ago

A standard shower drain

Mathematics

1 answer:

Hunter-Best [27]3 years ago

3 0

Answer:

see the explanation

Step-by-step explanation:

The given rate is

$480\ \frac{gal}{h}$

Create three different rates, that are all equivalent to this rate

First rate

1,440 gallons in 3 hours

Find the units rate

Divide the total volume by the total time

$\frac{1,440}{3}=480\ \frac{gal}{h}$

Second rate

960 gallons in 120 minutes

Find the units rate

Divide the total volume by the total time

Convert minutes to hours

$120 \ min=2\ h$

$\frac{960}{2}=480\ \frac{gal}{h}$

Third rate

720 gallons in 1.5 hours

Find the units rate

Divide the total volume by the total time

$\frac{720}{1.5}=480\ \frac{gal}{h}$

Convert gal/h to gal/min

Remember that

$1\ h=60\ min$

$480\ \frac{gal}{h}=480/60=8\ \frac{gal}{min}$

You might be interested in

Find the domain and range of y=-5x-1

harina [27]

Answer:

$\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

$\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

$y=-5x-1$

The function has no undefined points nor domain constraints. Hence, the domain is

$-\infty \:$

i.e.

$\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

$-\infty \:$

i.e.

$\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

5 0

3 years ago

What is the next number in the sequence below. 216, 72, 24,

tiny-mole [99]

The next number in the sequence is 8

4 0

3 years ago

18. What is the y-intercept of the line that passes through the points (1, 1) and (5, 13)?

TEA [102]

Answer:

-2

(The coordinate point is (0,-2))

Step-by-step explanation:

First, make an equation of the line.

Start off with finding the slope:

Slope = (13-1)/(5-1) = 12/4 = 3

Then solve for the y-intercept though substitution and simplification:

y=mx+b --> 1=3(1)+b --> 1=3+b --> b= -2

So the answer is -2.

4 0

3 years ago

A truck driver transported 748 boxes of goods at the first time. And the number of boxes of goods at the second time decreased t

dedylja [7]

Answer: 25% decrease in number of boxes of goods

Step-by-step explanation:

If you want to find a percent of a number you turn the percent into a decimal

Example:

Step 1

25% of 748

Step 2

0.25*748=561

8 0

3 years ago

Which of the following are square roots of the number below check all that apply 225

denpristay [2]

15*15=225. There's only one square root of 225... there's only one square root of any number ...

5 0

3 years ago