To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
1/x + 1/(x+1) = 17/72
Solving the equation above,
((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
(x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9.
Answer:
option D
Step-by-step explanation:
D is equal to 0 that is greater than B which is -2 by theory
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
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Define their age
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Let Jim be x years old
Jim = x
Father = x + 31 ← Jim is 31 years younger than the father
Grandfather = x + 70 ← Grandfather is 70 years older than Jim
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Combined age is 137, find x
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x + (x + 31) + (x + 70) = 137
x + x + 31 + x + 70 = 137
3x + 101 = 137
3x = 137 - 101
3x = 36
x = 12
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Find their age
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Jim = x = 12
Father = x + 31
Father = 12 + 31
Father = 43
Grandfather = x + 70
Grandfather = 12 + 70
Grandfather = 82
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Answer: Jim = 12 ; Father = 43 ; Grandfather = 82
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