75 elves.
I created a fraction to help solve for the number of elves. I did so by:
90/x=140/210
I solved for x which would equal 135. This is the equivalent number of elves in the theater. You would subtract this number from 210 which would equal 75.
OR
You can figure out how many elves equal 1 giant. In this case, you would divide 210 by 140 which equals 1.5 giants. Since there are 90 giants, you multiply 1.5 giants to find out an equivalent for elves which would equal 135. Same as before, subtract this from 210, resulting in 75.
Answer:
Step-by-step explanation:
A+C = 180 = A + 74 -> A = 106
B +D = 180 = B +88 -> D = 92
x = 92
Answer:
Step-by-step explanation:
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Answer:
see below
Step-by-step explanation:
4 ^(3x-1)=3
Take the natural log of each side
ln(4 ^(3x-1))= ln (3)
We know that ln ( a^b) = b ln a
(3x-1) ln 4 = ln 3
Divide each side by ln 4
3x-1 = ln(3)/ (ln4)
Add 1 to each side
3x = ln(3)/ ln (4) +1
Divide by 3
x =1/3 [( ln 3)/ ln (4)] + 1/3
x = .792461
Answer:
3/5
Step-by-step explanation: