Interpreting assignment in Russian
I see that the task is to answer in Russian based on an image, which includes exercises numbered 75 and 80. The user wants me to solve the assignment shown in the image, likely all the visible parts. I need to interpret what’s required. The image includes exercises 75 with parts a, b, c and part of exercise 80. I’ll need to examine the text in the image closely to ensure I address everything correctly.Solving equations from the assignment
The user has provided a task in Russian that involves solving equations. For part (a), we need to determine the duration of nighttime on October 27 based on an increase to 15 hours by December 1. In part (b), we find the amount of grain used to make porridge, given that 240 grams remain from an original 900 grams. Lastly, in part (c), I’ll calculate the city speed of a car based on speed changes shown on the speedometer.Calculating distances and solving equations
Looking at exercise 80, it asks about the distance between two cities and a stop made by a deputy after traveling m kilometers. I need to find out how far this stop is from the destination by formulating an expression: 188 - m km. The user might want solutions for all visible exercises, so I should provide answers for both 75 and 80.
For exercise 75, I've calculated the values: part (a) gave 13 hours, part (b) resulted in 660 grams, and part (c) determined the speed as 58 km/h. For exercise 80, using m values of 75, 100, and 120, I found distances of 113, 88, and 68 kilometers, respectively.Explaining principles and equations
I need to explain the principle of choosing an unknown, expressing a final value via that unknown. For example, if I have an initial duration and then increase it to a certain number, I can use equations to solve for the unknown. It sounds like I'm alsoПроверка вычислений скорости
Я работаю с уравнениями: начиная с \(900 - x = 240\), получаю \(x = 660\) г. Затем я обозначаю \(c\) как скорость в городе, которая увеличивается на 40 на шоссе и уменьшается на 59. Это приводит к уравнению \(x + 40 - 59 = 39\). Решая его, я получаю \(x = 58\) км/ч. Я проверяю это, подтверждая, что \(58 + 40 = 98\), а \(98 - 59 = 39\). Наконец, расстояние между городами составляет 188 км, что помогает вычислить, какое расстояние проехал заместитель.
Краткие ответы:
- а) \(13\) ч;
- б) \(660\) г;
- в) \(58\) км/ч.
Решение верхнего задания:
а)
Пусть \(x\) — продолжительность ночи 27 октября.
\[ x+2=15 \]
\[ x=15-2=13\text{ ч} \]
Проверка: \(13+2=15\).
б)
Пусть \(x\) г крупы израсходовали.
\[ 900-x=240 \]
\[ x=900-240=660\text{ г} \]
Проверка: \(900-660=240\).
в)
Пусть \(x\) км/ч — скорость автомобиля в городе.
После увеличения и уменьшения скорости:
\[ x+40-59=39 \]
\[ x-19=39 \]
\[ x=39+19=58\text{ км/ч} \]
Проверка: \(58+40-59=39\).
Задание № 30 внизу изображения:
Расстояние до пункта назначения:
\[ 188-m \]
Если:
\[ m=75:\quad 188-75=113\text{ км}; \]
\[ m=100:\quad 188-100=88\text{ км}; \]
\[ m=120:\quad 188-120=68\text{ км}. \]
Ответ: \(113\) км; \(88\) км; \(68\) км.