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denis-greek [22]
3 years ago
15

Steve ran for class president against Mandy. Steve received 5 votes for every 3 votes that Mandy received. Mandy received 420 vo

tes. If all the students only voted once?how many students voted in the election? Pls help ASAP!!
Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

1120

Step-by-step explanation:

The ratio Steve : Mandy is 5 : 3.

We use a proportion to find the number of votes Steve received.

x = number of votes Steve received.

5/3 = x/420

3x = 5 * 420

x = 5 * 140

x = 700

Steve received 700 votes.

The total number of votes is the sum of the votes Steve receive and Mandy received.

420 + 700 = 1120

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For this case we have that by definition, the volume of a cone is given by:

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According to the statement data we have:

h = 12 \ cm\\V = 125 \ cm ^ 3

Substituting in the formula:

125 = \frac {1} {3} * \pi * r ^ 2 * 12

We cleared the radius:

3 * 125 = \pi * r ^ 2 * 12\\\frac {3 * 125} {12 \pi} = r ^ 2\\9.9522 = r ^ 2\\r = \pm \sqrt {9.9522}

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Answer:

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Step-by-step explanation:

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