The rise is 2 and the run is 3
Given
gas prices are now $3.75 and it up 10% from 6 months ago.
Find out how much were gas prices 6 months ago.
To proof
gas prices now = $3.75
let the gas price 6 month ago = x
gas price now is rise up 10% from 6 months ago
First write 10% in simpler form
= 0.1
Now the equation becomes
0.1x + x = 3.75
1.1x = 3.75
x = 3.41 (approx)
Thus gas prices 6 months ago be $ 3.41 (approx )
Hence proved
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.
2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.
Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!
We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.
Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!
2 x 28 = 56.
So 2/5 is the same as 56/140.
The answer is D) 56 Dogs/140 Cats.
Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
If you would like to find the value of a in the polynomial, you can do this using the following steps:
(y - 4)(y^2 + 4y + 16) = y^3 + 4y^2 + 16y - 4y^2 - 16y - 64 = y^3 + 4y^2 + ay - 4y^2 - ay - 64
a = 16
The correct result would be 16.
