Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.
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 and Step-by-step explanation:
To find the unit rate, divide the 4 cups of water and the 
cups sugar by 4 to get a unite rate for 1 cut of water.
<u>4 divided by 4 equals 1.</u>
<u />
<u /><u> divided by 4 equals </u>
<u>.</u>
<u />
<u>Now, we multiply </u><u> by 6.</u>
<u></u>
<u> is how many cups of sugar that needs to be measured for 6 cups of water.</u>
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Start with
Subtract 15 from both sides:
Divide both sides by 2a:
Solution1: 9(x) + (y) = 17
Solution 2: 9(x) + 9(y) = 19
Your graphic organizer ➡(y) - 9(x) = 17
9(y) + 9(x) = 19
(y) = 9(x) + 17(⬅Solution 1)
9(x) + 9(9)(x)+17 = 19 ; 90(x) = -134(⬅Solution 2)
(x) = -67÷45
= -1.48
y = 18 ÷ 5
=3.6.
x-intercept ➡ -67/45
y-intercept: 18/5
⬆
y = 3.6; 18/5 (if that's what you're looking for)
