Cost of Lightbulb = x
cost of switch is x-8
9x + 4(x-8) = 520.50
Use distributive property:
9x + 4x -32 = 520.50
Simplify:
13x -32 = 520.50
Add 32 to both sides:
13x = 552.50
Divide both sides by 13
X = 42.50
A lightbulb costs $42.50
A switch costs 42.50-8 = $34.50
X² - 3x - 10
x² = x * x
10 can be factored:
1 x 10 ⇒⇒⇒ difference between factors = 9
2 x 5 ⇒⇒⇒ difference between factors = 3 ⇒ (The correct pair)
(x-5)(x+2) = x(x+2) - 5(x+2)
= x² + 2x - 5x - 10
= x² - 3x - 10
∴ x - 5 = 0 ⇒⇒⇒ x = 5
x + 2 = 0 ⇒⇒⇒ x = -2
I have attached <span>algebra tiles for the given equation.</span>
Answer:
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
Step-by-step explanation:
Let
x = cost of each gift basket
y = one time delivery fee
40x + y = 715 (1)
400x + y = 5935 (2)
Subtract (1) from (2)
400x - 40x = 5935 - 715
360x = 5220
x = 5220/360
x = 14.5
Substitute x = 14.5 into (1)
40x + y = 715 (1)
40(14.5) + y = 715
580 + y = 715
y = 715 - 580
y = 135
x = cost of each gift basket = $14.5
y = one time delivery fee = $135