Answer:
Step-by-step explanation:
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Red
Given:
AB is the height from the ground to the kite.
AC is the length of the string.
Length of the string is 46.19 feet
Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
Answer:
<em>There were 204 ladies and 136 gentlemen in the conference</em>
Step-by-step explanation:
Let's set the variables:
L = number of ladies in the conference
G = number of gentlemen in the conference
We know 340 people participated in the conference, thus:
L + G = 340 [1]
We are also given the ratio of ladies and gentleman as 3:2, thus:
L/G = 3/2
Cross-multiplying:
2L = 3G [2]
From [1]:
L = 340 - G
Substituting in [2]:
2(340 - G) = 3G
Operating:
680 - 2G = 3G
5G = 680
G = 680/5 = 136
G = 136
L = 340 - 136 = 204
L = 204
There were 204 ladies and 136 gentlemen in the conference
Answer:
2 is the base
Step-by-step explanation:
2^12
The 2 is the base and the 12 is the exponent