Решите задачу, составив пропорцию (110-115): 10. Токарь за 5 месяцев выполнил 47,5% годового
плана. Работая с той же производительностью, сколько процентов годового плана он вы- полнил за 12 месяцев? A. 120%; B. 114%; C. 100%; D. 118%. 43 Срочно дам 100 балловОтветы на вопрос
Ответ:
114%
Пошаговое объяснение:
5 мес = 47.5%
12 мес = х%
x=114%
To solve this problem, we can set up a proportion using the given information. Let's denote the percentage of the annual plan completed in 5 months as x, and the percentage of the annual plan completed in 12 months as y.
According to the problem, the proportion is as follows:
(110-115)/10 = x/47.5
To find the value of y, we can set up a new proportion using the same ratio:
(110-115)/10 = y/12
Now let's solve these proportions step by step:
Solving the first proportion:
(110-115)/10 = x/47.5First, let's simplify the left side of the equation: -5/10 = x/47.5
Next, let's simplify the left side further: -1/2 = x/47.5
To isolate x, we can cross-multiply: -1 * 47.5 = 2 * x -47.5 = 2x
Now, let's solve for x: x = -47.5/2 x = -23.75
Therefore, the percentage of the annual plan completed in 5 months is -23.75%.
Solving the second proportion:
(110-115)/10 = y/12First, let's simplify the left side of the equation: -5/10 = y/12
Next, let's simplify the left side further: -1/2 = y/12
To isolate y, we can cross-multiply: -1 * 12 = 2 * y -12 = 2y
Now, let's solve for y: y = -12/2 y = -6
Therefore, the percentage of the annual plan completed in 12 months is -6%.
Based on the calculations above, it seems that there might be an error in the given problem. The percentages obtained for both 5 months and 12 months are negative, which is not possible in this context. Please double-check the problem statement or provide any additional information if available.
Please note that the options A, B, C, and D provided in the question are not applicable in this case, as the calculated percentages are negative.
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