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seropon [69]
3 years ago
7

a milk tank at a a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of it

s length and the height is 4/5 of its width. How many cubic feet of milk can the tank hold. How many pounds of milk can it hold if 1 cubic foot of milk weights 66.5 lb
Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

17.5 cubic feet

1163.75 pounds

Step-by-step explanation:

Givens

L = 3.5                                    Given

W = 5/7  *  3.5                        Divide by 7

W = 5 * 0.5                             Combine

W = 2.5

H = 4/5 * w

H = 4/5 * 2.5

H = 4 * 0.5

H = 2

Volume

V = L * w * h

V = 3.5 * 2.5 * 2

V = 17.5

Weight

1  Cubic foot Milk = 66.5 pounds

17.5 cubic feet milk = x

1 / 17.5 = 66.5/ x

x = 17.5 * 66.5

x = 1164.75

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Step-by-step explanation:

Let x be the number of $5 notes

and

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Then according to given statements

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x+y=16    Eqn 1

"A restaurant bill of $350 was paid using $5 notes and $50 notes."

5x+50y=350       Eqn 2

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Putting x=10 in equation 1

10+y=16\\y=16-10\\y=6

So,

The number of $5 notes is 10 and $50 notes is 6

Keywords: Linear Equations, Variables

Learn more about linear equations at:

  • brainly.com/question/2385771
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Step-by-step explanation:

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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l
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Answer:

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Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

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if b> 1: the exponential function grows

We have then that the following exponential function decreases:

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Answer:

an example of exponential decay is:

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