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Aliun [14]
3 years ago
11

Which value of x makes the following equation true? 6(x - 1) = -2x + 50

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=−2x+50

(6)(x)+(6)(−1)=−2x+50(Distribute)

6x+−6=−2x+50

6x−6=−2x+50

Step 2: Add 2x to both sides.

6x−6+2x=−2x+50+2x

8x−6=50

Step 3: Add 6 to both sides.

8x−6+6=50+6

8x=56

Step 4: Divide both sides by 8.

8x /8 = 56 /8

x=7

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djyliett [7]

Answer:

4\dfrac{3}{8} cups of flour

Step-by-step explanation:

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour.

Then this recipe, which yields one muffin, calls for

\dfrac{2}{3}:12=\dfrac{2}{3}\cdot \dfrac{1}{12}=\dfrac{1}{18}

cup of milk for every

1\dfrac{3}{4}:12=\dfrac{7}{4}\cdot \dfrac{1}{12}=\dfrac{7}{48}

cups of flour.

Thus,

this recipe, which yields a batch of 30 muffins, calls for

\dfrac{1}{18}\cdot 30=\dfrac{5}{3}=1\dfrac{2}{3}

cups of milk for every

\dfrac{7}{48}\cdot 30=\dfrac{210}{48}=\dfrac{35}{8}=4\dfrac{3}{8}

cups of flour.

4 0
3 years ago
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3 years ago
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Answer:

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