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BabaBlast [244]
4 years ago
11

A standard shower drain

Mathematics
1 answer:
Hunter-Best [27]4 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

<u>First rate </u>

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}

<u>Second rate </u>

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}

<u>Third rate </u>

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}

<em>Convert gal/h to gal/min</em>

Remember that

1\ h=60\ min

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

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A real estate developer builds a small number of model homes, one each in a different style. During an open house event, there i
saul85 [17]

Answer:

  y = 2^x +5

Step-by-step explanation:

The number of new houses doubles each month, so the base (b) is that multiplier, 2. Then x is the number of months since the construction started (presumably at the end of the open house). If you want x to be something else, then h needs to be chosen so that (x -k) is the number of months the doubling has been taking place.

The value h represents the initial build of 5 houses. This is confirmed by the number 261 = 256 + 5 = 2^8 +5.

So, your equation for the number of houses built over time is ...

  y = 2^x +5

6 0
3 years ago
PLZ HELP
Alenkinab [10]

well the absolute means positive so it would be a positive 1.6


6 0
3 years ago
Read 2 more answers
Work out the size of angle A.<br>11 cm<br>9 cm<br>38°​
Nutka1998 [239]

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

4 0
3 years ago
Circle A has radius 4 feet. Circle B has radius 9 feet. What is the ratio of the area of circle A to the area of circle B?
yaroslaw [1]

Answer:

\large\boxed{\dfrac{16}{81}}

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

r - radius

Circle A:

radius = 4 ft. Substitute:

A_A=\pi(4^2)=16\pi\ ft^2

Circle B:

radius = 9 ft. Substitute:

A_B=\pi(9^2)=81\pi\ ft^2

The ratio:

\dfrac{A_A}{A_B}=\dfrac{16}{81}

7 0
3 years ago
Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695. find the num
Sophie [7]

Given :

Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.

To Find :

The number of packages of erasers and pencils that were sold .

Solution :

Let, number of erasers are x and pencils are y.

So, x + y = 220    ....1

Also, 2x + 5y = 695   ....2

Solving equation 1 and 2, we get :

2(220-y)+5y = 695\\\\440 - 2y + 5y = 695\\\\3y = 255\\\\y=85

x = 220 - 85 = 135

Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.

Hence, this is the required solution.

​

5 0
3 years ago
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