So we are given the expression:
÷ 
When we divide fractions, we must flip the second term and change the sign to multiplication:

And then we multiply across:

Then we can break apart all of the like variables for simplification:

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:



So then we multiply all of these simplified parts together:

So now we know that the simplified form of the initial expression is:
.
Answer:
c) The total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
Step-by-step explanation:
Here, t = 320.00 + 0.40 b
and t = The total prices charged by Terrance for packing and moving b boxes.
s = 250.00 +0.50 b
and s = The total prices charged by Sylvester for packing and moving b boxes.
Now, to find the number of boxes, when both the prices are equal.
⇒320.00 + 0.40 b = 250.00 +0.50 b
or, 320 - 250 = 0.50 b - 0.40 b
or, 0.10 b = 70
or, b= 70/0.10 = 700
Hence, for packing and moving b = 700 boxes, both companies charge the same amount.
Now, the price charged = 320 + 0.4 (b)
= 320 + 0.4(70) = 320 + 280
= 600
or, the total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
Answer:
The slope is -9/2 and the y intercept is 28
Step-by-step explanation:
We want to put this in slope intercept form
y = mx+b where m is the slope and b is the y intercept
18x + 4y = 112
Subtract 18x from each side
18x+4y-18x = -18x+112
4y = -18x+112
Divide each side by 4
4y/4 = -18x/4 +112/4
y = -9/2x + 28
The slope is -9/2 and the y intercept is 28
X would be: 0.5, 1.5, 4.5
Y would be: 3, 9, 27
When you divide 3 by 0.5 you get six so I basically just did trial and error with all the number