The <u><em>correct answer</em></u> is:
15 weeks
Explanation:
Let w be the number of weeks. Bill weighs 150 pounds and wants to gain 2 lbs per week; this gives us the expression 150+2w for Bill.
Jamal weighs 195 and wants to lose 1 pound per week; this gives us the expression 195-1w for Jamal.
To determine how many weeks it will take them to weigh the same, we set the two expressions equal:
150+2w=195-1w
Add 1w to each side:
150+2w+1w = 195-1w+1w
150+3w = 195
Subtract 150 from each side:
150+3w-150 = 195-150
3w = 45
Divide each side by 3:
3w/3 = 45/3
w = 15
Since both terms are perfect squares, factor using the difference of squares formula, a^
2 − b
^2 = (
a + b) (
a
−
b
) where a = t
^2 and b = 4
.
Answer: (
t^
2 + 4
) ( t + 2
) ( t − 2
)
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Hope this helps! ☆
Answer:
345600000000 and 670
Step-by-step explanation:
Answer:
The correct answer is fabric Jimmy's sister needs = 
× fabric Jimmy needs = × 
yards of fabric.
Step-by-step explanation:
Jimmy's costume requires ⅞ + ½ + 1 
yards of fabric = 
yards.
His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (
) yards of what Jimmy needs = yards of what Jimmy needs.
The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by
Fabric Jimmy's sister needs = × fabric Jimmy needs = × yards of fabric.
