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defon
3 years ago
8

What is the solution to this equation?

Mathematics
2 answers:
Marina86 [1]3 years ago
6 0

Answer:

D. s=32

Step-by-step explanation:

To solve the equation, we want to find out what s is. In order to do this, we have to get s by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

–5(s – 30) = –10

s-30 is being multiplied by -5. The opposite of multiplication is division. Divide both sides by -5.

–5(s – 30)/-5= –10/-5

s-30=-10/-5

s-30=2

30 is being subtracted from s. The opposite of subtraction is addition. Add 30 to both sides.

s-30+30=2+30

s=2+30

s=32

Let's check our solution. Substitute 32 in for s in the original equation. If our solution is correct, the left side of the equation should match the right side.

–5(s – 30) = –10

-5(32-30)=-10

-5(2)= -10

-10=-10

The statement above is true, so we know that s is equal to 32, and D is the correct answer.

VikaD [51]3 years ago
4 0

Answer:

s = 32

Step-by-step explanation:

–5(s – 30) = –10

Divide each side by -5

–5/ -5(s – 30) = –10/-5

s - 30 = 2

Add 30 to each side

s-30+30 = 2+30

s = 32

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Answer:

Second : 1/6 x + 47

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Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4)       Showing how to expand

= 5/3x + 35 - 3/2x + 12           Simplified above step by multiplying

= 5/3x - 3/2x + 47            Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47          Change fractions to the common denominator 6

= \frac{10-9}{6}x + 47   Combine fractions with common denominator

= 1/6x + 47              Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

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This is the same as option 3.

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Answer:

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Step-by-step explanation:

I  think below is your full question:

<em>Erin and Dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought the same number of shirts as Erin for $16 each and spent $10 on accessories. </em>

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Here is my answer

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Step-by-step explanation:

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