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Aleksandr-060686 [28]
3 years ago
8

When 12 is decreased by twice a number, the result is -14. Find the number.

Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer:

-13

Step-by-step explanation:

Twice a number is 2h (h is the variable) so the equation is 12-2h=-14 and - 13 times 2 is -26 so the equation is now 12-26=-14

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

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7 0
3 years ago
Mrs. Miller is planting pumpkin seeds. She
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Answer: 31,755

Step-by-step explanation: You would just multiply 365 by 87 like this.

365 x 87

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365 x 87 = 31,755

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3 years ago
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What is the ratio of quarters to nickels in a dollar
sleet_krkn [62]

For quarters we have:

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Where,

x: number of quarters

Clearing x we have:

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Where,

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Clearing y we have:

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\frac{x}{y} = \frac{1}{5}


Answer:

The ratio of quarters to nickels in a dollar is:

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