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prohojiy [21]
3 years ago
15

Kelly is using a rectangular container to fill up a bucket of water. The container is 3.8 inches long, 2.5 inches wide, and 7.2

inches tall. If the bucket holds 1,368 cubic inches of water, how many times will Kelly have to fill the cup in order to fill the bucket
Mathematics
1 answer:
jasenka [17]3 years ago
6 0

Answer:

Kelly will have to fill the cup 20 times.

Step-by-step explanation:

Volume of the cube:

Rectangular cube, so the volume of the cube is the multiplication of its three dimensions(3.8 inches, 2.5 inches and 7.2 inches).

V = 3.8*2.5*7.2 = 68.4 cubic inches.

If the bucket holds 1,368 cubic inches of water, how many times will Kelly have to fill the cup in order to fill the bucket?

Solved by proportions, using a rule of three.

1 time - 68.4 cubic inches

x times - 1368 cubic inches

Applying cross multiplication:

68.4x = 1368

x = \frac{1368}{68.4}

x = 20

Kelly will have to fill the cup 20 times.

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Hanna said is correct because the money is divided in the ratio 2:3

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D

XZ : YZ = 5:8

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3 years ago
7. The difference of Grandma Annie's age and twice Carl's is 22. Gran
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<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

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Step-by-step explanation:

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according the graph:

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