Answer:
soccer balls = 80
basketballs = 120
Step-by-step explanation:
let S = number of soccer balls sold
let B = number of basketballs sold
If the store sold 40 more basketballs than soccer balls, then
B = S + 40
If the store sold $4800 worth of soccer and basketballs last month at a cost of $33 for a soccer ball and $18 for a basketball, then:
33S + 18B = 4800
Substitute the first equation B = S + 40 into the second equation and solve for S:
33S + 18(S + 40) = 4800
33S + 18S + 720 = 4800
51S + 720 = 4800
51S = 4080
S = 80
Substitute S = 80 into B = S + 40 to find B:
B = 80 + 40 = 120
From the quadratic equation, it is found that the 2000 snowboards must be produced for the company to break even.
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The profit of producing x thousand snowboards is given by:

The break even point is the value of <u>x for which P(x) = 0</u>, thus:



That has two solutions:


x is in thousands, and we want the non-zero solution, thus 2000 snowboards must be produced for the company to break even.
A similar problem is given at brainly.com/question/24716530
Answer:
x - y = 3(x + 2)
- x - y = 3x + 6 is the simplified answer and is also correct
Step-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
To find length and width you need to factor 3x² - 10x - 8. The final factored form will be (3x+2)(x-4).
Work:
15, 20, and 25 are a Pythagorean triple, (225+40=625) thus they form a right triangle. The shortest altitude of any right triangle is going to be that of the hypotenuse. All three of the right triangles formed by the altitude on hypotenuse are similar. Thus 15:25 = a:10.
a=6.