12x - 4y = -8
y = 3x + 2
Rewrite the first equation
12x + 8 = 4y
3x + 2 = y
As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.
I am assuming you mean 3.0 *10^8 and 1.5 * 10^11.
time = distance/speed right. So,
t = 500 s
There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have 
and for Illinois we have 
. Now, because they are proportional, we can set them equal to each other and we get 
. Now we can cross multiply to get 
. To get the 
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers
Answer:
The total amount that the consumer had to pay for both products was $ 94.50.
Step-by-step explanation:
Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:
(50 + 40) x 1.05 = X
90 x 1.05 = X
94.5 = X
Therefore, the total amount that the consumer had to pay for both products was $ 94.50.
The multiplier you would use to find the new value would be 0.4.
The reason for this is that 100%-60% =40%. This is the part of the value it will keep. 40% is the same as 0.4.
This decimal represents the part of the original price that is it still worth.
The multiplier is 0.4 because that it what you would multiply $80 by to find the new value.
