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BaLLatris [955]
3 years ago
6

Can someone help me please

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

c = 72

Step-by-step explanation:

multiply both sides of the equation by 8 to eliminate the fraction

c = 8 × 9 = 72

note that \frac{72}{8} = 9


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A mixture contains 40oz of glycol and water, and it is 10% glycol. The mixture is to be strengthened to 25% by adding glycol. Ho
Mazyrski [523]
I found 50, making a rule of three where
 40__10
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x=10
 40+10= 50
( I hope I'm right, but from what I understand this would be the resolution)



5 0
3 years ago
The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug
ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0
3 years ago
Should the quotient of an integer divided by a nonzero integer always be a rational number? Why or Why not?
lubasha [3.4K]
Yes, it will always be a rational number. I'll expound on this by defining what a rational number is. It is any number that can be expressed as a fraction. Otherwise, it is called an irrational number with a non-terminating decimal expansion. So, although 1/3 has a non-terminating decimal expansion because it is equal to 0.33333333...., it is still a rational number because it can be expressed into a fraction.
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3 years ago
Please help! Which interval describes where the graph of the function is positive?
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Answer:

c. -oo < x < -1

Step-by-step explanation:

according to the graph the function possitive

=> y > 0 , and x < -1

3 0
3 years ago
The first term in a sequence is 5. Each new term in the sequence is obtained by adding 4 to the previous term. Determine an equi
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Answer:

4x+1

Step-by-step explanation:

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