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Pepsi [2]
4 years ago
13

A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on abo

ut 61.0% of the roof. A typical annual rainfall is about 14.0 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons
Mathematics
1 answer:
lesya692 [45]4 years ago
3 0

Answer:

Required of volume of tank = 39.62 m3 or 10471.18   gallons

Step-by-step explanation:

Total volume of water collected = Annual Rainfall * Useful Area

Total volume of water collected = 1199.87 * 1.1667

Total volume of water collected = 1399.89 ft3

---1 ft3 = 7.48 gallons

Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178  gallons

----1 ft3 = 1/35.315 m3 = 0.0283 m3  

Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3

Workings

Useful area = 61% of 1967

Useful area = 0.61 * 1967

Useful area = 1199.87 sq/ft.

Annual rainfall = 14 inch = 14/12 month

Annual rainfall = 1.1667 ft.

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The candy store is having a 30% off sale.Emma is going to buy $7.50 worth candy. How much will she pay after the discount?
MissTica

Answer:

$5.25.

Step-by-step explanation:

That is $7.50 - 30% of 7.50

= 7.50 - 0.30 * 7.50

= $5.25.

3 0
4 years ago
A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per
Maslowich

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x  (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile =  11 cents  = 0.11   [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile =  13 cents  = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B -  Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence,  Company B charges $(15.5+0.12x) more for x miles than company A.

7 0
3 years ago
Please help with this math
Studentka2010 [4]

Answer:

I believe it’s C

Step-by-step explanation:

let me know if right if am mark brainliest pls

7 0
3 years ago
Can please someone help me out and explain it step by step. Thank you
Anit [1.1K]

Answer:x=7, \ y=-2

Step-by-step explanation:

Given

Equations are 3x-y=23 and 2x+3y=8

take 3x-y=23

y=3x-23

Put the value of y in another equation

\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7

Put the value of x in y

y=3(7)-23=21-23=-2

Hence, x=7, \ y=-2

7 0
3 years ago
1/3·(−3x+4y−5z) help plz
Maksim231197 [3]

Answer:

To solve this we need to form 2 equations with only 2 variables.

x+4y-5z=-7

2x+y+5z=8

3x+5y=1

15x+10y+15z=35

6x+3y+15z=24

9x+7y=11

Now we need to use these to find x and y

9x+15y=3

9x+7y=11

8y=-8

y=-1

Therefore:

x=2

From this we can find that:

2(2)-1+5z=8

Therefore z=1

The answer is x=2, y=-1, z=1

7 0
3 years ago
Read 2 more answers
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