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Alexxandr [17]
3 years ago
11

Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people. She needs to know how many cups of rice are n

eeded to feed 135 people
Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

Answer:

<u>54 cups</u> of rice are needed to feed 135 people.

Step-by-step explanation:

Given:

Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people.

Now, to find the cups of rice needed to feed 135 people.

Let the cups of rice needed to feed 135 people be x.

As, 6 cups of rice is needed to feed 15 people.

<em>So, 6 is equivalent to 15.</em>

<em>Thus, </em>x<em> is equivalent to 135.</em>

Now, to get the cups of rice needed to feed 135 people we use cross multiplication method:

\frac{6}{15} =\frac{x}{135}

<em>By cross multiplying we get:</em>

<em />810=15x<em />

<em>Dividing both sides by 15 we get:</em>

54=x\\\\x=54\ cups.

Therefore, 54 cups of rice are needed to feed 135 people.

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Solve for z: -4 - (z - 6) = 12
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Answer:

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General Formulas and Concepts:

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Step-by-step explanation:

<u>Step 1: Define equation</u>

-4 - (z - 6) = 12

<u>Step 2: Solve for </u><em><u>z</u></em>

  1. Distribute negative:                              -4 - z + 6 = 12
  2. Combine like terms:                             -z + 2 = 12
  3. Subtract 2 on both sides:                    -z = 10
  4. Divide -1 on both sides:                        z = -10

<u>Step 3: Check</u>

<em>Plug in z to verify it's a solution.</em>

  1. Substitute:                    -4 - (-10 - 6) = 12
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  3. Simplify:                        -4 + 16 = 12
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Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

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