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Katen [24]
3 years ago
7

In the last student-council elections, Jill got x number of votes. Morgan got twice as many votes as Jill. Trisha won the electi

on with 7 more votes than Morgan. If 327 students voted in the election, write and solve an equation to determine how many votes Trisha got.

Mathematics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

the equation is x + 2x + 2x + 7 = 327

or 5x + 7 = 327

x = 64

Trisha has 135 votes.

Step-by-step explanation:

Jill has x votes.

If Morgan got twice as many votes as Jill, then Morgan has

2 times the number of votes

or 2x

Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount

2x + 7

So assuming Jill, Morgan, and Trisha are the only three candidates:

then x + 2x + 2x + 7 = 327

Combine like terms

5x + 7 = 327

Subtract 7 from both sides

5x = 320

x = 64

Check answer for x:

64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327

So Trisha has

2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes

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Answer:

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Step-by-step explanation:

We have been an integral \int \frac{9+\sqrt{x}+x}{x}dx. We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx

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