First, put them directly above each other.
5a+2s=48
3a+2s=32
You need to combine these, but in order to do so, we want to get rid of one of the letters. The S's line up very well, and all we need to do is multiply the bottom equation by a negative 1. This will look like this,
-3a-2s=-32 (and add it to the other equation)
5a+2s=48
This gives you
2a=16
Divide both sides by 2 to get a by itself.
a=8, is your answer!
If it asked for s, you would put 8 into whichever equation seems easier for you, and then its just simple crunching it out.
Hope this helped!
Answer:
b = 30 / a
which agrees with the third expression in the list of possible options
Step-by-step explanation:
When we say that a and b vary inversely, that means that in mathematical form:
b = k / a where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):
5/2 = k / 12
Then, solving for "k":
5 * 12 / 2 = k
60 / 2 = k
k = 30
Then we can now write the function that models this inverse variation:
b = k / a
b = 30 / a
Answer:
Step-by-step explanation:
Equation: y=mx+b
we know the slope (m) and so we can write
(-2/3)x+b=y
we need to solve for b
to do this plug in 6 for x and -4 for y
(-2/3)(6)+b= -4
-4+b= -4
b=0
therefore the final answer is just
(-2/3)x
By the Pythagorean theorem, 
.
So,
The answer is D. 62.5%
Hope this helped. Good luck!
