Answer:
Cost of rug during sale = $140
Step-by-step explanation:
Given
Marked price of rug in a store = $200
The store is holding a sale and offering a flat 30% less on marked price on all items
This means the sale price of all items would decrease by 30%
We can calculate the discount offered by taking out percentage discount of the marked price.
Discount offered on rug = 30% of Marked price 
The discount is then subtracted from the marked price to get the price of rug during sale.
∴ Price of rug during sale = Marked price - Discount 
Hi Mackenzie.
Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.
1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400
Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.
I hope this helps!
Answer:
x = 4 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
x^4 - 9 x^2 - 22 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 4) (x + 2) (x^2 + 2 x + 3) = 0
Split into three equations:
x - 4 = 0 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = -2 or x^2 + 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = -2 or x^2 + 2 x = -3
Add 1 to both sides:
x = 4 or x = -2 or x^2 + 2 x + 1 = -2
Write the left hand side as a square:
x = 4 or x = -2 or (x + 1)^2 = -2
(x + 1)^2 = -2 has no solution since for all x on the real line, (x + 1)^2 >=0 and -2<0:
Answer: x = 4 or x = -2
