Answer:
Orinal number of cats= 171
Step-by-step explanation:
Giving the following information:
Decrease in population= 30%
Current population= 120
<u>To calculate the original number of cats, we need to use the following formula:</u>
Orinal number of cats= current population / (1 - decrease)
Orinal number of cats= 120 / (1 - 0.3)
Orinal number of cats= 171
Answer:
Given the system of equation:
......[1]
......[2]
we can rewrite equation [2] as;
......[3]
Substitute equation [3] into [1] to eliminate x, and solve for y;

Using distributive property: 

Combine like terms;
16 - 8y = -4
Add 4 to both sides we have;
20 - 8y = 0
Add 8y to both sides we have;
20 = 8y
Divide 8 to both sides we have;

Substitute the y-value in [3] we have;

x = 8 - 5 = 3
Therefore, the expression should be substituted into the first equation is,
and also the value of x = 3 and y = 2.5
Answer:
Does the answer help you?
Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
Answer:
224 pages
Step-by-step explanation:
The book has pages that are 5.5in x 6.5 in (which holds 300 words)
There are a total of 67,062 words
Equation:
67,062 / 300 = total number of pages
67,062 = 223.54
That means 224 pages, because the last page is partially filled.
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