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AleksandrR [38]

3 years ago

12

Jaylen hires a caterer for a party in his backyard. The caterer charges $100 for each hour, h, she is working at the party and $

25 for each person, p, that attends the party.
Create an equation that represents the total fee, c, that the caterer charges Jaylen

C=

1 answer:

Oksana_A [137]3 years ago

3 0

Answer:

c= $100 per h + $25 for each p that attends.

Step-by-step explanation:

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3 years ago

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

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Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

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2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

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Taking <em>5 common</em> from $5y+10$ and <em>y common</em> from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking <em>LCM</em> and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

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3 years ago