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amid [387]
3 years ago
6

Lashaundra bought a bracelet and a ring for each of the 7 girls in her group. The bracelet cost $2.50 each and the ring cost $1.

25 each. How much money did Lashaundra spend?
Student's solution: Make a table.

Number of Girls 1 2 3 4 5 5 7
Total Cost $3.75 $7.50 $11.25 $15.00 $18.75 $22.50 $26.25

Lashaundra spent a total of $26.25.

Solve this problem using a similar strategy.

Yolette charges $12.75 for a manicure and $19.50 for a pedicure. Yolette did 7 manicures and 4 pedicures each day for 5 days.

How much money did Yolette earn altogether?
Mathematics
2 answers:
puteri [66]3 years ago
5 0
I belive the answer is $862.50

IrinaK [193]3 years ago
5 0
<u><em>Lets do it step by step.</em></u>
<u><em>12.75×7=89.25</em></u>
<u><em>19.50×4=78</em></u>
<u><em>Add them.</em></u>
<u><em>89.25+78=</em></u>
<u><em>167.25 for one day.</em></u>
<u><em>167.25×5=836.25.</em></u>
<u><em>836.25 for the total days.</em></u>

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Lunna [17]

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cos is defined as: cos(x)=\frac{adjacent}{hypotenuse}

We can also define tan as: tan(x)=\frac{sin(x)}{cos(x)}

because plugging in the definitions of sin and cos in we get: tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}

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So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}

plugging in sin(x) and cos(x) we get:

tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \frac{\sqrt{89}}{\sqrt{89}} which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}

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Answer:

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