C. 2 + (–3); –1 is the answer
Change 2/4 to 1/2
<span><span>2x+<span>1/2</span>=189.5</span></span>
Subtract <span>1/2</span> from both sides(1/2 = .5)
2x=189
Divide both sides by <span>2</span>
2x/2 = x
189/2= 94.5
x=94.5
Answer:
Step-by-step explanation:
Let that number be 
. We can build an equation, and solve for .
less than half of is 
.
more than is 
.
We are given that the two quantities are equal, so we have that 
.
Adding to both sides gives 
.
Multiplying both sides by gives 
.
Subtracting 
from both sides gives 
.
Multiplying both sides by 
gives 
.
So, the number is 
and we're done!
The check is left as an exercise to the reader.
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.
