Answer:
It c
Step-by-step explanation:
I have done this before! Have a nice day!
Answer:
The simplified form of the expression is
.
Step-by-step explanation:
The expression is:

The division rule of exponents is:

The negative exponent rule is:

Simplify the expression as follows:
![\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%5Ccdot%20y%5E%7B2%7D%7D%7Bx%5E%7B4%7D%5Ccdot%20y%5E%7B6%7D%7D%3D%5Bx%5E%7B-3-4%7D%5D%5Ctimes%20%5By%5E%7B2-6%7D%5D)

Thus, the simplified form of the expression is
.
Given:
price = 1,250
sales discount = 15%
sales tax = 6.5%
The problem is unclear whether the price is the original price or the discounted price. I am assuming that the price is the original price.
Original price times sales discount rate is the value of sales discount
1,250 x 15% = 187.50
Original price less the value of sales discount is the discounted price.
1,250 - 187.50 = 1,062.50
Discounted price times sales tax rate is the value of the sales tax
1,062.50 x 6.5% = 69.06
Discounted price plus sales tax is the total cost of the purchase
1,062.50 + 69.06 = 1,131.56
Answer:
- d and f 2.a and c 3.b and e
Step-by-step explanation:
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and
of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>
Let be "s" the total number of seats in the Stalls.
The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is
.
Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

Solving for "s", we get:

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:
We know that
of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

Therefore, the total number of seats that were occupied las Friday is:
Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

Solving for "p", we get:
