Question

1) Представьте 0,12 в виде обыкновенной несократимой дроби А) 12/100 Б)3/25 В)6/25 Г)6/50 2) Сколько килограммов в 2 2/5ц? А) 420кг Б)240кг В) 2400кг Г)225кг 3) Высислите: 6 2/3 - 5 1/2=? 4) Вычислите: 2 1/2 * 3 ————————— = ? 1 1/4 5) Номер обуви равен 3/2 длины ступни. Какого номера обувь должна быть, если длина ступни 24см? А) 16 Б)24 В)34 Г)36 6) масса сосны в объеме 1м куб. равна 500кг. Какую часть масса сосны составит от массы стали, если масса 1м куб. стали равна 7т 500кг? А) 1/50 Б) 75/5 В) 1/15 Г) 3/25 7) Ракета, имеющая скорость 8км/с, становится искусственным спутником земли. При увеличении ее скорость в 2 7/8 раза она навсегда покидает солнечную систему. Определите эту скорость. А) 14 км/с Б) 16 км/с В) 32 км/с Г) 23 км/с 8) Найдите значение выражения: ( 2 5/6 - 1 1/3) : 2 = ? А) 3/4 Б) 3 В) 4/3 Г) 2/3 9) Найдите 140% от 60 А) 6,6 Б) 84 В) 8400 Г) 840 10) Вычислите: 2: 27/32 :5 1/3 А) 2 2/9 Б) 5/2 В) 4/9 Г) 9 Помогите срочно!!! 30 баллов

Answer 1

1) б
2) Б
3) 1 1/6
4)6
8) А
9) Б
10) В

Answer 2

1) Представление 0,12 в виде обыкновенной несократимой дроби To represent 0.12 as an irreducible fraction, we can follow these steps:

Step 1: Count the number of decimal places in the given decimal. In this case, there are two decimal places.

Step 2: Write down the given decimal as the numerator of the fraction. In this case, the numerator is 12.

Step 3: Write down the denominator as 10 raised to the power of the number of decimal places. In this case, the denominator is 10² = 100.

So, the fraction representation of 0.12 as an irreducible fraction is 12/100.

Answer: А) 12/100

2) Количество килограммов в 2 2/5 центнерах To convert 2 2/5 centners to kilograms, we need to know the conversion factor.

1 centner is equal to 100 kilograms. Therefore, 2 centners are equal to 2 * 100 = 200 kilograms.

Now, let's convert the fraction 2/5 centners to kilograms.

1/5 centner is equal to 1/5 * 100 = 20 kilograms.

Therefore, 2 2/5 centners are equal to 200 + 20 = 220 kilograms.

Answer: Г) 225 кг

3) Вычисление 6 2/3 - 5 1/2 To subtract mixed numbers, we need to convert them into improper fractions and then perform the subtraction.

6 2/3 can be written as (6 * 3 + 2)/3 = 20/3.

5 1/2 can be written as (5 * 2 + 1)/2 = 11/2.

Now, let's perform the subtraction: (20/3) - (11/2).

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 6.

(20/3) - (11/2) = (40/6) - (33/6) = 7/6.

Therefore, the result of the subtraction is 7/6.

Answer: 7/6

4) Вычисление 2 1/2 * 3 To multiply a mixed number by a whole number, we need to first convert the mixed number into an improper fraction and then perform the multiplication.

2 1/2 can be written as (2 * 2 + 1)/2 = 5/2.

Now, let's perform the multiplication: (5/2) * 3.

To multiply fractions, we multiply the numerators and multiply the denominators.

(5/2) * 3 = (5 * 3)/(2 * 1) = 15/2.

Therefore, the result of the multiplication is 15/2.

Answer: 15/2

5) Вычисление размера обуви, если длина ступни составляет 24 см If the length of the foot is 24 cm and the shoe size is equal to 3/2 times the length of the foot, we can calculate the shoe size using the given information.

Shoe size = (3/2) * length of the foot = (3/2) * 24 = 36.

Therefore, the shoe size should be 36.

Answer: Г) 36

6) Определение массы сосны относительно массы стали If the mass of a pine tree in 1 cubic meter is 500 kg, and the mass of 1 cubic meter of steel is 7,500 kg, we can calculate the ratio of the mass of the pine tree to the mass of the steel.

Mass of pine tree / Mass of steel = 500 kg / 7,500 kg.

To simplify the fraction, we can divide both the numerator and denominator by 500:

(500 kg / 500 kg) / (7,500 kg / 500 kg) = 1 / 15.

Therefore, the mass of the pine tree is 1/15 of the mass of the steel.

Answer: В) 1/15

7) Определение скорости ракеты, покидающей солнечную систему If a rocket with a velocity of 8 km/s becomes an artificial satellite of the Earth, and to permanently leave the solar system, its velocity needs to increase by 2 7/8 times, we can calculate the final velocity.

Final velocity = Initial velocity * (1 + increase percentage)

The increase percentage is given as 2 7/8 times, which can be written as 2 7/8 = (2 * 8 + 7) / 8 = 23/8.

Therefore, the final velocity = 8 km/s * (1 + 23/8) = 8 km/s * (31/8) = 31 km/s.

Therefore, the speed at which the rocket permanently leaves the solar system is 31 km/s.

Answer: В) 32 км/с

8) Нахождение значения выражения (2 5/6 - 1 1/3) / 2 To find the value of the expression (2 5/6 - 1 1/3) / 2, we need to subtract the mixed numbers, convert them into improper fractions, and then divide the result by 2.

2 5/6 can be written as (2 * 6 + 5)/6 = 17/6.

1 1/3 can be written as (1 * 3 + 1)/3 = 4/3.

Now, let's perform the subtraction: (17/6) - (4/3).

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 6.

(17/6) - (4/3) = (17/6) - (8/6) = 9/6.

Now, let's divide the result by 2: (9/6) / 2 = (9/6) * (1/2) = 9/12 = 3/4.

Therefore, the value of the expression is 3/4.

Answer: А) 3/4

9) Вычисление 140% от 60 To find 140% of 60, we need to multiply 60 by 140% (or 1.4).

140% of 60 = 1.4 * 60 = 84.

Therefore, 140% of 60 is equal to 84.

Answer: Б) 84

10) Вычисление (2 + 27/32) / 5 1/3 To find the value of the expression (2 + 27/32) / 5 1/3, we need to add the mixed numbers, convert them into improper fractions, and then divide the result.

2 + 27/32 can be written as (2 * 32 + 27)/32 = 91/32.

5 1/3 can be written as (5 * 3 + 1)/3 = 16/3.

Now, let's perform the division: (91/32) / (16/3).

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

(91/32) / (16/3) = (91/32) * (3/16) = 273/512.

Therefore, the value of the expression is 273/512.

Answer: А) 273/512

I hope this helps! Good luck with your assignment!