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1 answer:

6 0

If the weight of the bottom box is b then the weight of a stack of four boxes is b + b/2 + b/4 + b/8
= 8b/8 + 4b/8 + 2b/8 + 1b/8
= 15/8 b
A stack must weigh less than 100 pounds
15/8 b < 100
b < 100 x 8/15 = 53 1/3 pounds
If boxes have a minimum weight of 1 pound then
for stacks that contain 4 boxes the range of b is [8, 53 1/3)
and if stacks contain 1 to 4 boxes the range of b is [1, 53 1/3)

If the only restriction is a maximum of 100 then the range of b is [0, 53 1/3)

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Simplify the linear expression

vekshin1

Answer:

$\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}$

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of $-\frac{1}{4} a$ would be 2, and in the case of $\frac{2}{3}$ the value would be 2. This would result in the equation: $-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}$ . Then simply combine like terms to get your final answer.