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tensa zangetsu [6.8K]
3 years ago
10

The recommended density of a rectangular aquarium is 7 fish per cubic foot of water. If the owner of the aquarium follows the re

commended density guidlines and has 42 fish, what is the height of the aquaruim with a length of 3 feet and a width of 1 foot?
Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer: 2 feets

Step-by-step explanation:

Recommended density = 7 fish/ ft^3

If recommended density guideline is followed:

Number of fishes in aquarium = 42

Length of aquarium = 3ft

Width = 1ft

Height =?

Volume of aquarium = Length × width × height

Volume = 3 × 1 × h = (3ft^2 × h)

Therefore ;

If

1ft^3 = 7 fishes

x ft^3 = 42 fishes

Cross multiply

7(x)ft^3 = 42 fishes

x ft^3 = (42÷7)

x ft^3 = 6

Therefore volume of the aquarium with 42 fishes is 6ft^3

Volume = (3ft^2 × h)

6ft^3 = 3ft^2 × h

h = (6ft^3) / (3ft^2)

h = 2ft

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title="\frac{3}
Scrat [10]
The answer would be 14/15

Find a common denominator that both of the fractions can use. An easy way to do this is simply multiply the denominators together. So for 3/5 you would multiply by 3 to get the fraction 9/15 and then multiply 1/3 by 5 to get 5/15. Add both 9/15 and 5/15 to then get 14/15.
4 0
3 years ago
Read 2 more answers
Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of
likoan [24]

Answer:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

7 0
3 years ago
Yolanda went for a drive in her new car. She drove
GenaCL600 [577]
Her speed was 62.5 miles per hour.
5 0
3 years ago
Here is the question
serg [7]

First find the amount of the difference between the original price and the current price:


$10,600 - $7,400 = $3,200


Divide the difference by the original price:

3200 / 7400 = 0.4324 = 43.2% increase.


5 0
3 years ago
Can u help me -32=4c-12
zvonat [6]
-32 = 4c -12
add -34 by 12 which is -20
divide it by 4
c = -5
6 0
3 years ago
Read 2 more answers
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