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.
Answer:
D
Step-by-step explanation:
-9x-27+12 = -6x-15-3x
0=0
D) the equation has infinitely many solutions
Answer:
15 races
Step-by-step explanation:
The team has competed in 45 and has won 30. So the success rate is:
Success rate is:
We have to find the number of races the team needs to win for 75% success rate
Which means that
We have to solve the equation for x
The team needs to win 15 races to get 75% success rate ..
Answer:
1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.
2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.
Step-by-step explanation:
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