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3 years ago

A. 3 B. 1/3 C. -3 D. -1/3

Mathematics

1 answer:

guapka [62]3 years ago

5 0

Answer:

Step-by-step explanation:

This is a negative slope since it is going from left to right so that leaves you with c or d.

The slope is rise over run so in this case the rise is 1 and the run is -3 since its going left.

This leads you to -1/3

Hope this helped :)

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Evelyn went shopping with half of her monthly allowance. She spent $39.95 on a dress and 3/7 of the remainder on some accessorie

Gnoma [55]

Answer:

Evelyn monthly allowance is $187.

Step-by-step explanation:

Let the monthly allowance be 'x'.

Given:

Money taken with for shopping = $\frac{x}{2}$

Money spent of dress = $39.95

Also Given:

3/7 of the remainder on some accessories.

Money spent on accessories is equal to $\frac{3}{7}$ times Difference of monthly allowance and Money spent of dress.

framing in equation form we get;

Money spent on accessories = $\frac{3}{7}\times(\frac{x}{2}-39.95)$

Also Given:

Money left after shopping = $30.60

Now we know that;

Money taken with for shopping is equal to sum of Money spent of dress and Money spent on accessories and Money left after shopping.

framing in equation form we get;

$\frac{x}{2}=39.95+\frac{3}{7}(\frac{x}{2}-39.95)+30.60\\\\\frac{x}{2}=39.95+\frac{3x}{14}- 17.12 +30.60$

Combining like terms we get;

$\frac{x}{2}-\frac{3x}{14}=39.95-17.12+30.60\\\\\frac{x}{2}-\frac{3x}{14}= 53.43$

Now we will make denominator common using L.C.M

$\frac{x\times 7}{2\times7}-\frac{3x\times1}{14\times1}= 53.43\\\\\frac{7x}{14}-\frac{3x}{14}= 53.43\\\\\frac{7x-3x}{14}=53.43\\\\\frac{4x}{14}=53.43\\\\4x=53.43\times14\\\\x= \frac{53.43\times14}{4} = \$187$

Hence Evelyn monthly allowance is $187.

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