Answer: 10 hours
Step-by-step explanation:
Given
Slow fix auto charge $28 for parts and $48 per hour of labor
We work charge $59 for parts and $44.90 per hour of labor
Suppose both works for x hours
Cost of Slow fix= 
Cost of We work= 
When these costs are the same
Step-by-step explanation:
1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.
2. We will use the same process.
6x² + 14x - 3x - 7 = 0
2x (3x+7) - 1 (3x+7) = 0
(3x + 7)(2x - 1) = 0
3x + 7 = 0, 2x - 1 = 0
x = -7/3, x=1/2
Hope this helps!
Answer: See explanation
Step-by-step explanation:
Amount earned by movie = $3,000,000.
Percentage that went to movie = 60%
Percentage that went to theater = 40%
Revenue gotten by movie studio = 60% × $3,000,000
= 0.6 × $3,000,000
= $1,800,000
Revenue gotten by theaters = 40% × $3,000,000
= 0.4 × $3,000,000
= $1,200,000
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
5(x+y)= 20+ 3x
5x+5y=20+3x
5x+5y-3x=20+3x-3x
2x+5y=20
2x+5y-2x=20-2x
5y=-2x+20
5y/5=-2x/5+20/5
y=-2/5x+4
ANSWER: y=-2/5x+4
