Can You Help Me With This?
1 answer:
Step-by-step explanation:
Total cups of fruit punch = 80
52 cups of fruit juice
Fraction of fruit juice to total =
<u>What percent of punch is fruit juice:</u>
Fruit Juice = 65%
What percent of punch is sparkling water:
There are 80 cups in total and 52 cups is fruit juice and the rest of the cups are sparkling water.
Find the number of cups of sparkling water by subtracting 52 from 80 and then divide that number by the total number of cups, which is 80 cups
80 - 52 = 28 cups of sparkling water
Sparkling Water = 35%
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Answer:
A) 7/5
Step-by-step explanation:
An exponential equation like this can be solved by using logarithms, or by rewriting the bases so they are the same.
3^(2h-1) = 27^(-h+2)
Using 27 = 3^3, we can write the equation in terms of powers of 3:
3^(2h-1) = (3^3)^(-h+2)
3^(2h -1) = 3^(-3h +6)
Equating exponents gives ...
2h -1 = -3h +6
5h = 7 . . . . . . . . . add 1+3h
h = 7/5 . . . . . . . divide by 5
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<em>Additional comment</em>
When solving this using a graphing calculator, it is often convenient to write the equation in such a way that the solution is an x-intercept. Here, we can do that by subtracting the right-side expression from both sides:
3^(2h-1) -27^(-h+2) = 0
The solution is h = 1.4 = 7/5.
