2 years ago

A 96 inch stick breaks into two pieces in the ratio of 3:5. How big is each piece?

1 answer:

6 0

40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm

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What is $0.8\%$ of $125\%$ of $8128$? Express your answer as a decimal.

Andre45 [30]

Answer:

Step-by-step explanation:

To solve this kind of problem, we must remember that the word "of" means multiplication in math language, and all percentages numbers can be expressed as a fraction where the denominator is 100. Applying all this, we have

$0.8\%\times 125\%\times 8128\\\frac{0.8}{100}\times \frac{125}{100} \times 8128\\ 0.008(1.25)(8128)=81.28$