Answer:

Step-by-step explanation:
Let
x -----> the number of hours that the painter works
we know that
The inequality that represented this situation is equal to

solve for x
Subtract 60 both sides


Divide by 15 both sides


The maximum number of hours is 2
<h3>
Answer: 11/12</h3>
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Explanation:
3/4 = 9/12 after multiplying top and bottom by 3
1/3 = 4/12 after multiplying top and bottom by 4
When combining the fractions 3/4 and 1/3, we get,
3/4 + 1/3 = 9/12 + 4/12 = (9+4)/12 = 13/12
Let's convert that result into a mixed number
13/12 = (12+1)/12
13/12 = 12/12 + 1/12
13/12 = 1 + 1/12
13/12 = 1 & 1/12
Adam and Brian have collectively eaten 1 full pizza plus an additional 1/12 of the second pizza. This leaves 11/12 of the second pizza for Christine to eat. Notice how the fractions part 1/12 and 11/12 add to 12/12 = 1.
Check out the diagram below.
Answer:
x=11.5
Step-by-step explanation:
You want to isolate x. The first thing you have to do is get rid of that tricky fraction. To do this, you have to multiply the fraction by its denominator to cancel the denominator out and leaving you only with the numerator. You would also have to multiply 3 by 5.5 too. (Multiplying by the denominator only gets rid of the denominator and leaves the numerator alone. However, in your case, the numerator is one, so by getting rid of the denominator you get 1x. This can just be written as x.)
Equation would look like this:
x+5=16.5
You subtract 5 from both sides, and 16.5 minus 5 is 11.5
Equation would now look like this:
x=11.5