Answer:
Cost of a single light bulb is $3.34
Step-by-step explanation:
Value of sales tax = 6% ×$71.02
= $4.2612
Total cost of bulb before tax = Total cost of bulb - Value of sales tax
= $71.02 - $4.2612
= $66.7588
Value of a single light bulb = Total cost of bulb before tax ÷ Total number of light bulbs
= $66.7588 ÷ $20
= $3.33794
= $3.34 Approximately.
6x + x + x - 5 - 2 = 8 + 2x + x
combine like terms
8x -7 = 8 +3x
subtract 3x from each side
5x -7 = 8
add 7 to each side
5x = 15
divide by 5
x=3
Answer: 8x -7 = 8 +3x
x=3
Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a =
The logical answer is <span>0.04863%</span>