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Vesna [10]
3 years ago
14

Solve for x: (2/5)(x-4)=2x​

Mathematics
1 answer:
NARA [144]3 years ago
8 0

Simplify brackets

2/5(x - 4) = 2x

Simplify 2/5(x - 4) to 2(x - 4)/5

2(x - 4)/5 = 2x

Multiply both sides by 5

2(x - 4) = 10x

Divide both sides by 2

x - 4 = 5x

Subtract x from both sides

-4 = 5x - x

Simplify 5x - x to 4x

-4 = 4x

Divide both sides by 4

-1 = x

Switch sides

<u>x = -1</u>

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Answer:

Carmen can make 10\frac{5}{16} full servings.

Step-by-step explanation:

Given : Carmen mixes 3\frac{1}{2} cups of water with 3\frac{3}{8}  cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = 3\frac{1}{2}+3\frac{3}{8}

Solving , we get,

Total quantity of punch Carmen made = \frac{7}{2}+\frac{27}{8}

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = \frac{28+27}{8}=\frac{55}{8}

Also, given She pours \frac{2}{3} cup servings of punch.

Thus, \frac{2}{3} cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes \frac{3}{2} serving cup.

\frac{55}{8} cup makes = \frac{3}{2}\times\frac{55}{8}

\frac{55}{8} cup makes = \frac{165}{16}=10\frac{5}{16}

Thus, She can make 10\frac{5}{16} full servings.


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