Interpreting math assignment
I need to provide answers in Russian for an image assignment. The user mentioned a typo "Зделай," which means "do." I should summarize the key steps involved and carefully check the image content, especially since it's rotated. The header indicates it's a math test. I need to solve tasks 1-5, which involve various calculations. I already calculated some values, but I must ensure everything aligns properly based on the provided operations and context.Solving rectangle area problem
I have a task to solve: Find the area of a rectangle with a width of 7 cm, which is four times smaller than its length. That means the length is 28 cm. So, the area calculation would be 7 times 28, giving me 196 cm². I interpret "в 4 раза меньше" as the length being four times the width.
Next, I need to fill in some blanks related to time and weight. For example, 3 hours and 28 minutes is 208 minutes, while 370 dm equals 37 meters. For 16284 kg, the conversion should be 16 tons, 2 quintals, and 84 kg.Calculating precise conversions
I need to focus on precise calculations from the problem. For example, I see number conversions like "3 ч 28 мин" translates to minutes, which is important.
I'll go through each calculation: starting with subtraction, then addition, and multiplication, to ensure accuracy. I'm checking each step closely. For instance, I calculate 70,200 minus 48,057 and all the rest meticulously. Each answer needs verification, so I’ll pay careful attention to each operation and detail. It’s crucial I get this right!
Краткие ответы
а) \(22\,143\); б) \(9\,922\); в) \(379\,725\);
г) \(758\,002\); д) \(305\); е) \(314\).\(663\,701\).
\(196\ \text{см}^2\).
- \(3\ ч\ 28\ мин=208\ мин\);
- \(370\ дм=37\ м\);
- \(16\,284\ кг=16\ т\ 2\ ц\ 84\ кг\);
- \(5\ км\ 4\ м=5\ км\ 40\ дм\);
- \(6\ т\ 200\ кг=6200\ кг\);
- \(3\ сут\ 10\ ч<190\ ч\).
- Скорость нужно увеличить на \(11\ \text{км/ч}\).
Решение
1. Выполним действия
\[ 70200-48057=22143 \]
\[ 6254+3668=9922 \]
\[ 5063\cdot75=5063\cdot(50+25)=253150+126575=379725 \]
\[ 1867\cdot406=1867\cdot400+1867\cdot6=746800+11202=758002 \]
\[ 2440:8=305 \]
\[ 11932:38=314 \]
Проверка: \(38\cdot314=11932\).
2. Порядок действий
Сначала выполняем деление и умножение:
\[ 123321:303=407, \qquad 2458\cdot26=63908. \]
Затем:
\[ 600200-407+63908=599793+63908=663701. \]
3. Задача
Ширина — \(7\) см, а длина в 4 раза больше:
\[ 7\cdot4=28\ \text{см}. \]
Площадь прямоугольника:
\[ S=7\cdot28=196\ \text{см}^2. \]
4. Заполнение пропусков
\[ 3\cdot60+28=208\ \text{мин} \]
\[ 370:10=37\ \text{м} \]
\[ 16284\ \text{кг}=16000\ \text{кг}+200\ \text{кг}+84\ \text{кг} =16\ \text{т}\ 2\ \text{ц}\ 84\ \text{кг} \]
Так как \(40\ дм=4\ м\), ставим знак \(=\).
\[ 6\ т\ 200\ кг=6000\ кг+200\ кг=6200\ кг \]
\[ 3\ сут\ 10\ ч=72\ ч+10\ ч=82\ ч<190\ ч. \]
5. Задача
Скорость автомобиля сначала:
\[ 330:6=55\ \text{км/ч}. \]
Скорость, необходимая для прохождения 330 км за 5 часов:
\[ 330:5=66\ \text{км/ч}. \]
На сколько увеличить скорость:
\[ 66-55=11\ \text{км/ч}. \]
Ответ: на \(11\ \text{км/ч}\).
Условие задания №6 на фото обрезано. Пришли нижнюю часть листа с его текстом.