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Alexxx [7]
3 years ago
6

(WORTH 15 POINTS!!!!!!!)Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish

club. Which statements can be used to solve for x, the total number of members in the Spanish club? CHECK ALL THAT APPLY.
1) 3/5x=30
2) 3/5=x/30
3) 3/5(5/3)x=30(3/5)
4) 3/5(5/3)x=30(5/3)
5) x=50
6) x=18
Mathematics
2 answers:
expeople1 [14]3 years ago
3 0
These (1,4,5) all give the right solution that the total number of students in Spanish club is 50.

1.)
(3/5)x = 30

4.)
(3/5)(5/3)x = 30(5/3)

5.)
x = 50
<span />
Alla [95]3 years ago
3 0
<h2><u>1</u> - 3/5x = 30</h2><h2><u></u></h2><h2><u>4</u> - 3/5 (5/3)x = 30 (3/5)</h2><h2><u></u></h2><h2><u>5</u> - x = 50 </h2>
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3 years ago
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Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

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Matching the coefficients:

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γ sin α = √3

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α is between 0 and π/2, so:

α = π/3

γ = 2

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2 sin(2x − π/3) = 1

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x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

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3 years ago
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3 years ago
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