Answer: x= 6/35
Explanation
You can make an equation to solve this, but establishing knowns, unknowns, and relationships.
# in spring wash = x
# in summer = x + 14
Total Washes = 96
we know:
total = summer + spring
96 = (x) + (x + 14)
96 = 2x + 14
82 = 2x
"x" = 41
Answer:
Inequality: 0.08x + 2300 ≥ 2800
Liz needs to sell products of $6250 at least.
Step-by-step explanation:
Given that:
Per month salary of Liz = $2300
Commission = 8% = 
= 0.08
Amount Liz wants to earn = $2800
Let,
x be the amount of sales.
0.08x + 2300 ≥ 2800
0.08x ≥ 2800 - 2300
0.08x ≥ 500
Dividing both sides by 0.08
Hence,
Liz needs to sell products of $6250 at least.
Remark
I don't know exactly what level you are in, but the obvious factors are
y = 2x*(x^3 + 11x + 30)
This gives one more factor somewhere around x = -11.3 . Notice that the minimum is around - 3000 or so. I don't think anyone is going to try and take this any further. My calculator figures out cubics and gives an answer of -11.23. There are two other roots but they are a complex pair.
Answer
factor 1: 2x
factor 2: x^3 + 11x^2 + 30
Answer:
13.99p + 4.49s ≤ 80
Step-by-step explanation:
Pizza is p and soda is s. If he has only $80 to spend on a combination of both, he cannot obviously spend more than that. Therefore, the inequality sign is "less than or equal to". He can spend 80, but he can also spend less than 80. He cannot spend anything over that, since he doesn't have it to spend!
If pizzas are represented by p, and we know the cost of each one is 13.99, we represent one pizza as 13.99p; if the cost of sida is 4.49 per case, we represent one case as 4.49s.
The sum of these cannot exceed 80, so the inequality, then, is:
13.99p + 4.49s ≤ 80
