Answer:
x is greater than -2 and less than or equal to 3
Step-by-step explanation:
so the 3x + 1 is greater than -5
so 3x is greater than -6
we divide both sides by 3
then we find out that x is greater than -2
we also know that 3x + 1 is less than or equal to 10
so 3x is less than or equal to 9
we divide both sides by 3
then we find out that x is less or equal to 3
so we can say that x is greater than -2 and less than or equal to 3
I set it up as a ratio with hours on the top and the fraction of the job on the bottom. It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it. Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
3x/(x+1) + (x+1)/(2x) + (5/x)
To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1)
The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)
<span>The product of 7 and 0.04 is 0.28=true</span>
x 55
-------- = ---------
69.50 100
69.50*55= 3822.5
3822.5/100= 38.225
x=$38.22