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1 vote
Solve the equation in the photo
A. 16
B.21.3
C.32
D.64

Solve the equation in the photo A. 16 B.21.3 C.32 D.64-example-1
User Bmavity
by
8.2k points

2 Answers

6 votes

Answer:

Explanation:

A fast way you can do it is just plug the choices and see which one equals to 16. So like this 1/2(16)+1/4(16)=16. This equals 12 so 16 is incorrect. Or write it like this 0.5(21.3)+0.25(21.3)=16. Writing it in decimal form would be much easier. So plug in the rest and see which one is equal to 16.

User Ashish Bahl
by
8.0k points
4 votes

Answer:

x = 64/3 (
21.\bar{3} in decimal form)

Explanation:

First, we're going to combine like terms:


\bf{(1)/(2) x+(1)/(4) x=16}

We'll find the least common denominator of 2 and 4, which is 4. Now watch what happens


\bf{\cfrac{1*2}{2*2}+\cfrac{1}{4}x=16}


\bf{\cfrac{2}{4}+\cfrac{1}{4}x=16}


\bf{\cfrac{3}{4}x=16}

Multiply both sides by 4


\bf{3x=16*4}


\bf{3x=64}

Divide both sides by 3


\bf{x=\cfrac{64}{3}}

Convert to a decimal:


\bf{x=21.\bar{3}}

User Alexn
by
8.5k points

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