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Ad libitum [116K]
3 years ago
15

The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 11 inch

es with 75 pounds attached, how far will it stretch with 65 pounds attached? Round to the nearest tenth of an inch.
a. 10.9
b. 9.5
c. 11.2
d. 12.7
Mathematics
1 answer:
zepelin [54]3 years ago
6 0
11/75 = x/65.....11 in. to 75 lbs. = x in. to 65 lbs.
cross multiply
(75)(x) = (65)(11)
75x = 715
x = 715/75
x = 9.53 rounds to 9.5 <==
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Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

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We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

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Pattern P:

40, 38, 36, 34, 32, 30, …

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(absolute) Differences in corresponding terms:

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