Answer:
$45.50
Step-by-step explanation:
1. $65.00 ÷ 100 = 0.65
2. 0.65 x 30 = $19.50
3. $65.00 - $19.50 = $45.50
Answer:
x = 135
Step-by-step explanation:
The three triangles are similar.
144/y = y/81
y^2 = 144 * 81
y = 12 * 9
y = 108
81^ + 108^2 = x^2
x^2 = 18225
x = 135
To know if p = -1 is a possible solution to <span>6(p – 4) = -30p, plug in -1 for p and see if the equation is true.
</span><span>6(p – 4) = -30p
</span><span>6(-1 – 4) = -30(-1)
</span>6(-1 – 4) = -30(-1)<span>
Solve the parentheses.
-1 - 4 = -5
</span>6(-5) = -30(-1)
Multiply.
6 • -5 = -30
-30 • -1 = 30
-30 = 30
This is not true, so p = -1 is NOT a possible solution for the <span>equation 6(p – 4) = -30p.
Hope this helps!</span>
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
$287-80 for installation leaves $207 for flooring cost
207/60 = $3.44/square foot
