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3 years ago

John claims the following two expressions are equivalent.

Mathematics

1 answer:

MrRissso [65]3 years ago

3 0

Answer:

the answer is B. He should have only multiplied 3 by –2 resulting in the expression 5y – 6.

Step-by-step explanation:

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3 years ago

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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4 years ago

How many times can 8 go into 50

tiny-mole [99]

6 with and remainder of 2

8 0

3 years ago

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What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-

svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

$2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\$

The Formula of Slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

by replacing the (2,0) and (0,-4) coordinates in the above formula:

$\to m= \frac{-4-0}{0-2}\\\\ \to m= \frac{-4}{-2}\\\\ \to m= \frac{4}{2}\\\\ \to m= 2\\\\$

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

$\to y=mx+c$

apply m and c value in the above equation:

$\to y=2x-4\\$

Subtract by 2x on both sides of the equation we get:

$\to y-2x= 2x-4-2x\\\\\to y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\$

5 0

4 years ago

Read 2 more answers