Hello! So the sweater was marked off by 20% and the sale price is $60. To find the original price of the sweater, we can write and solve a proportion. Set it up like this:
60/x = 80/100
This is because 60 is a part of the whole (the original price), and even though the price was marked down by 20%, you still pay 80% of that price. Let's cross multiply the values. 60 * 100 is 6,000. 80 * x is 80x. That makes 6,000 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,000/80 is 75. Let's check this. 75 * 80% (0.8) is 60. There. x = 75. The regular price of the sweater is $75.
Answer:
1 1/4 in of material is cut off each board.
Step-by-step explanation:
To answer this, subtract 7 ft 10 3/4 inches from 8 ft.
First, rewrite 8 ft as 7 ft 12 inches.
Then subtract:
7 ft 12 in
- 7 ft 10 3/4 in
----------------------
1 1/4 in
1 1/4 in of material is cut off each board.
Answer:
$288.00
Step-by-step explanation:
$360.00
-
20%
=$288.00
Answer:
w = 4 1/2
l = 6
Step-by-step explanation:
w = width
2w-3 = length
A = lw
27 = w(2w-3)
27 = 2w² - 3w
subtract 27 from each side:
2w² - 3w - 27 = 0
factor:
(2w-9)(w+3) = 0
solve each for 'w':
w = 9/2
w = -3 (This answer can be discounted because a length cannot be negative)
width = 9/2
length = 2(9/2) - 3 which is 6
