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den301095 [7]
3 years ago
13

The first number is what percent of the second ? x of y

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0
I really don't know what you mean, but to find the percent, multiply x and y and then divide your answer by 100, or move your decimal place to the left twice. hope that helped :)
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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

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x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

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3 years ago
Read 2 more answers
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What is 0.9(x-20)=830 Rounded to the Hundreths (second) decimal place
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Answer:

x= 942.22

Step-by-step explanation:

.9x-18=830

.9x=848

x=942.222222222

which will be x= 942.22

4 0
3 years ago
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