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alekssr [168]
3 years ago
7

You need a 50% solution. On hand, you have a 200 mL of a 35% alcohol mixture. You also have 70% alcohol mixture. How much of the

70% mixture will you need to add to obtain the desired solution?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Answer:

150 mL

Step-by-step explanation:

We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation

200 * 35% + x * 70% = 50% (x + 200)

70 + 0.7 * x = 0.5 * x + 100

0.7 * x - 0.5 * x = 100 - 70

0.2 * x = 30

x = 30 / 0.2

x = 150

150 mL must be added so that the mixture is 50%.

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Answer:

The smallest positive number is 8

Step-by-step explanation:

let the smallest positive number = x

45 is a multiple of 9 ⇒ 9 x 5 = 45

the next multiple of 9 after 55 is  63

= 9 x 7

= 63

Thus, x + 55 = 63

x = 63 - 55

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The greatest common factor of 45 and 63 = 9

Therefore, the smallest positive number is 8

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Step-by-step explanation:

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The area of the rectangle is of the form 6x² - 9x - 15

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\leadsto \:  \sf \: (2x - 5)(3x + 3)

<h3>The breadth of the rectangle is 3x + 3 </h3>
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