Answer:

Step-by-step explanation:
Given
Represent number of DVDs with x


(at most)
Required
Represent as an inequality
If 
x DVD would cost:


So, to make an order of x DVDs, Deacon will pay for
x DVDs and Handling Fee
So:

Recall that his budget is at most $75
This implies that: 
So, the relationship between his payment and budget is:

Answer:
3s + 7.99 = 71.83
Step-by-step explanation:
Yeah, algebra sure confused me the first time I took it. I had a much more patient and engaging teacher the second time!
How would we find out in real life how much each shirt cost? We'd subtract 7.99 from 71.83 and divide the difference by 3, right??
Let's work that backward. Let's say a shirt cost $6. Three would cost $3(6), or $18. Since each shirt costs $s, our price for 3 shirts is $3s. We have to add shipping to get a total, which we are given. When writing an equation, we leave out labels like $ or meters or books or whatever.
Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 15.

The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.
Answer: x=3/2
Step-by-step explanation:
Multiply the parentheses by 2/3. 9=2/3x+8.
Multiply both sides by 3 . 27=2x+24
Move the term. When moved to the left side it changes from positive to a negative. -2x=24-27.
-2x=-3
Divide both sides by -2
x=3/2 (x=1 1/2, x=1.5)
We try to factor by maybe grouping
experiment
(x²y³-11x²y)+(6y²-66)
factor
x²y(y²-11)+6(y²-11)
undistribute (y²-11) from each
(x²y+6)(y²-11)
we can force a factor out of the 2nd group in the form of a difference of 2 perfect squares
(x²y+6)(y-√11)(y+√11)
either of those 3 are factors