Question

10. Делимое увеличили в 18 раз. Как изменится делитель, если частное увеличить в 3 раза? А) увеличится в 3 раза B) уменьшится в 15 раз С) уменьшится в 10 раз D) увеличится в 6 раз E) уменьшится в 21 раз​

Answer 1

Ответ:D) увеличится в 6 раз

Пошаговое объяснение:

Answer 2

Solution

To solve this problem, we need to understand the relationship between the dividend, divisor, and quotient in division. Let's break it down step by step.

1. Initial Scenario: - The dividend is increased by 18 times. - The divisor is unknown. - The quotient is unknown.

2. Understanding the Relationship: - In division, the dividend is divided by the divisor to give the quotient. - If the dividend is increased by a certain factor, the quotient will also change accordingly.

3. Calculating the Change in the Divisor: - Let's assume the initial dividend is represented by D, the initial divisor by d, and the initial quotient by Q. - After increasing the dividend by 18 times, the new dividend becomes 18D. - If the new quotient is obtained by increasing the initial quotient by 3 times, the new quotient becomes 3Q.

4. Applying the Changes: - Using the relationship between the dividend, divisor, and quotient, we can calculate the change in the divisor.

5. Calculation: - The change in the divisor can be calculated using the formula: - New Dividend = 18D - New Quotient = 3Q - New Dividend / New Quotient = New Divisor

6. Conclusion: - Based on the calculation, we can determine how the divisor will change when the quotient is increased by 3 times.

Answer

Based on the calculation, the correct answer is: D) The divisor will increase by 6 times