Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a
acid solution and we need to change it to a
acid solution, and for that it is necessary to evaporate
gallons of water.
So, this situation can be mathemtically expressed as follows:

Then:

Isolating
:


Hence, we need to evaporate 33 gallons of water.
Answer:
Number of pineapples= 10
number of pears = 19
number of kiwis = 10 -2 = 8
Step-by-step explanation:
Cost of a pear = $ 0.50
Cost of a pineapple = $ 1.5
cost of a kiwi = $ 0.3
Let the pineapples = p
Number of pears = 9 + p
Number of kiwis = p - 2
The cost is
0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50
0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50
0.95 p = 9.6
p = 10
Answer:

Step-by-step explanation:
Given

--- First Quadrant
Required
Find tan(A)
The sin of an angle is:

and

By comparison:


So, the Adjacent is:



Collect like terms


Take square roots


The tangent of an angle is:

This gives:

Let the number of hours be x.
70 + 80x < 100x
20x > 70
x > 3.5
Answer:
5.3%
Step-by-step explanation:
The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:
yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%
The dividend yield is 5.3%.