You can easily solve this by setting up a proportion with walls on the top and paint on the bottom. First we can find the decimal equivalent of each of those fractions to make things easier. 5/8 = .625 and 4/5 = .8.
. What this is asking is "if 4/5 (.8) of a wall is covered by 5/8 (.625) of a gallon of paint, how many walls (x) will 1 gallon of paint cover?" If we cross multiply we have .625x = .8 and x = 1.28 which is the same as 1 7/25 walls/1 gallon, choice C.
First we need to know the point slope form. It is y - y1 = m(x - x1). In the y1 and x1 spots, you just plug in any coordinate on the line.
m would be the slope which we already know as 5/3.
We are given the coordinate point (0,3) as a point on the line. This is also what we are going to plug into the equation. 0 will be x1 and 3 will be y1.
Our equation should then look like after plugged in as....
y - 3 = 5/3(x)
x is by itself because subtracting or adding by 0 yield the original number.
Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need 
to be true in order for an acute triangle to happen.
So,
Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,
We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9
Answer:
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