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Effectus [21]
3 years ago
5

You earn $8 per hour for babysitting plus $0.75 per mile that she has to drive . Write an equation to represent this situation a

nd define the variables
Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0

Answer:

z = 8x + .75y

Step-by-step explanation:

Two variables are needed to set this equation, the variable for babysitting, and the variable for the mile.

X = hour baby sitting

Y = mile driven

Z = total amount made

THUS,

z = 8x + .75y

Hoochie [10]3 years ago
3 0

Answer:

8x+$0.75x.

Step-by-step explanation:

8x is the hours you babysit and $0.75x the miles you drive.

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3 0
2 years ago
Match the following rational expressions to their rewritten forms.
Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}

And the rewritten forms:

(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}

So, correct option is 3.

(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}

So, correct option is 1.

(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}

So, correct option is 2.

(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}

So, correct option is 4.

The answer is also attached in the answer area.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Simplify<br> 2a - 5 + 3a + 4
Vera_Pavlovna [14]

Answer:

5a - 1

Step-by-step explanation:

add common terms

2a - 5 + 3a + 4

2a + 3a and -5 + 4

5a - 1

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4 0
3 years ago
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What is the sum of 4m(m-6) and 8(m-4)?
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Step-by-step explanation:

4m2 - 24m + 8m - 32

4m2 - 16m - 32

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