A certain alloy contains 5.25% copper. How much copper is there I a piece weighing 200 pounds?

2 answers:

8 0

10.5 lb
You can look at the question as 5.25% of 200 pounds. The "of" means to multiply so you would multiply 5.25% by 200. 5.25% can be written as 0.0525(dividing by 100, since percent is of 100).

0.0525*200=10.5 lb

kykrilka [37]2 years ago

4 0

Find 5.25% of 200
remember
1% of 100=1
therefor
1% of 200=2
just remove the decimal and double it (for this special case of finding percent of 200)

5.25% of 200=5.25 times 2=10.5
answer is 10.5 pounds of copper
(the legit way is 0.0525 times 200=10.5 pound)

10.5lb is answer

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3 years ago

4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$