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melamori03
1 month ago
6

11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the

re be?
Mathematics
1 answer:
lawyer [12.5K]1 month ago
6 0
The ratio of total members in the group stands at 5:7, meaning that among every 7 members, there are 5 men and 2 women. We can set it up as a proportion: 5:7 = x:735, leading to the equation 5/7 = x / 735. By cross-multiplying, we get 7*x = 5 * 735, simplifying to 7*x = 3675. Dividing this by 7 results in x = 525. Therefore, there will be 525 men in total.
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Hello! Dividing or multiplying a decimal by 10 is simpler than it may seem. When dividing by 10, shift the decimal point one place to the left. Conversely, when multiplying a decimal by 10, move the decimal point one place to the right. In this case, dividing 12.5 by 10 means shifting the decimal left one position, resulting in 1.25. Therefore, Lauren has covered 1.25 miles. To verify, you can multiply 1.25 by 10, which returns you to 12.5. The answer is 1.25! I hope this is helpful!
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2 months ago
A formula calls for 0.6 mL of a coloring solution. Using a 10-mL graduate calibrated from 2 to 10 mL in 1-mL units, how could yo
PIT_PIT [12445]

Answer:

We will mix 2.4 mL of water with 0.6 mL of the coloring solution.

The total solution volume amounts to 2.4 + 0.6, which equals 3 mL.

Therefore,

0.6 mL of coloring solution now contains 2.4 mL of water.

Alternatively,

1 mL of this coloring solution comprises 4 mL of water.

Thus,

We should prepare 3 mL of the coloring solution with the resultant water.

This 3 mL mixture will encapsulate 0.6 mL of the coloring solution.

Step-by-step explanation:

As stated:

The formula requires 0.6 mL of a coloring solution.

Using a 10-mL graduated cylinder that is divided from 2 to 10 mL in 1-mL increments:

We aim to apply the aliquot method to accurately measure 0.6 mL of the coloring solution.

Given that the graduated cylinder measures from 2mL to 10mL only, we'll blend 2.4 mL of water with 0.6 mL of coloring solution.

Thus, the total solution volume is 2.4 + 0.6, resulting in 3 mL.

Consequently,

This implies that 0.6 mL of coloring solution now carries 2.4 mL of water.

Additionally,

1 mL of coloring solution encapsulates 4 mL of water.

Hence,

We will quantify 3 mL of the final solution, which contains 0.6 mL of coloring solution.

3 0
2 months ago
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