The answer to the question
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Answer:
the answer is 78 degrees
Step-by-step explanation:
a acute angle is less than 90
Answer:
V=πr²h
Step-by-step explanation:
The equation I put above is the equation to solve for the volume of a cylinder. This equation uses pi, radius, and height.
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Janes weight = x
Twelve pounds less than twice janes weight is 270 pounds
12 less than 2x is 270
2x -12 = 270 (add 12 to each side)
2x = 270 + 12
2x = 282 (divide 2 from each side)
x = 282/2
x = 141
The answer is 141 pounds