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4 years ago

-79 = 7w + 3(4w – 1) how do i solve this ?

Mathematics

1 answer:

Alecsey [184]4 years ago

5 0

Answer: -4 = <em>w OR w = -4</em>

Step-by-step explanation: For this given equation you will have to solve for the variable w. In order to do this you must isolate the variable <em>w.</em>

Step 1: Use the distributive property: -79=7w+3(4w-1) ( 3 x 4w = 12w and 3 x -1 = -3.

Step 2: Add like terms and whole numbers: -79=7w+12w-3 ( 7w + 12w = 19w

Step 3: Use the Addition Property of Equality:3 + -79=19w-3+3 ( 3 + -79 = -76 and -3 + 3 =0

Step 4: Use the division Property of Equality: -76=19w -76 divided by 19 is -4 and 19w divided by 19 is w

Step 5: The answer: -4=w

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ANSWER

The total number of voters is
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EXPLANATION

Let the
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We now use ratio.

We can see from the diagram that,
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We can write the ratio

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Also the total number of voters corresponds to the angle in a complete circle. This will also give us the ratio,

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We can therefore write the equation,

$\frac{2x + 2800}{x} = \frac{360 \degree}{130 \degree}$

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We cross multiply to get,

$13(2x + 2800) = 36x$

This implies that,

$26x + 36400 = 36x$

We group like terms to obtain,

$26x - 36x = - 36400$

This implies that,

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$x = 3640$

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3 years ago

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