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aniked [119]
3 years ago
8

Twenty five football players chose to have their hair cut before winter break. If this represents 1/3 of the students on the foo

tball team, write and solve an equation to determine x, the number of students on the football team
Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

Equation for 'x' is \frac{1}{3}x=25.

There are <u>75</u> students in the football team.

Step-by-step explanation:

Let the number of students on the team be 'x'.

Given:

Number of players to have hair cut = 25

Number of players to have hair cut is one-third of the total students in the football team.

So, framing in equation form, we get:

\frac{1}{3}x=25

In order to solve this equation for 'x', we have to isolate 'x' on the left hand side.

So, we multiply both sides by 3. This gives,

3\times \frac{x}{3}=25\times 3\\\\x=75

Therefore, there are 75 students in the football team.

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In the second fraction, factorize the denominator:

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Then we have, as long as x\neq10,

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which you could also write as

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4 0
2 years ago
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Oduvanchick [21]
<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

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<h3>2. Subtract "4" from both sides of the equation.</h3>

-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

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<h3>4. Divide both sides by 10.</h3>

\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

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