Answer:
x=-16
Step-by-step explanation:
y=-20
y=x-4
-20=x-4
x=-16
I am not very good you should probably ask someone else sorry
From 86 books to 150 books. An increase of 64 books.
(150 - 86) / 86 = 64 / 86 = 0.744 * 100% = 74.40% or 74% increase
150 / 86 = 1.744 * 100% = 174.40%
86 is the basis. It is 100%
If the problem asks for the value of the percentage increase and the rate is given 74.4% of 86. Then 86 * 74.4% = 64. You just add 64 to 86 to get the new total of books which is 150.
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
