Question

1.     Реши уравнение 1024 : ( 3*х - 589 ) = 32 2.     По течению катер проходит от одной до другой пристани за 3 часа, при этом скорость течения равна 3 км/ч, а собственная скорость катера – 12 км/ч. За сколько времени от вернется обратно, против течения? 3.     Половина количества роз, растущих в саду, равна трети количества пионов и четверти количества тюльпанов. Сколько всего цветов в саду, если всего растет 128 тюльпанов? 4.     Два ковша воды – это половина ведерка, а три чашки – это половина ковша. Тогда сколько чашек в двух ведерках? 5.     Маше 5 лет, а папе – 33 года. Через сколько лет папа станет в 5 раз старше Маши?   решите все пж подробно или хотя-бы 1 ​

Answer 1

Пошаговое объяснение:

2)1)12+3=15(км/ч)- скорость катера по течению

2)15:3=5(ч)- против течения.

Ответ: за 5 часов.

4)1) 3•2=6(чаш)- в 1 ковш.

2)6•2=12(чаш)- половина ведра

3)12•2=24(чаш)- ведро.

4)24•2=48(чаш)- 2 ведра.

Ответ: 48 чашек в двух вёдрах.

Я решила все что смогла:')

Answer 2

1. To solve the equation 1024 : (3x - 589) = 32, we can follow these steps:

Step 1: Multiply both sides of the equation by (3x - 589) to eliminate the denominator: 1024 * (3x - 589) : (3x - 589) = 32 * (3x - 589)

Step 2: Simplify the equation: 1024 = 96x - 18848

Step 3: Move the constant term to the other side of the equation: 96x = 18848 + 1024

Step 4: Simplify the equation further: 96x = 19872

Step 5: Divide both sides of the equation by 96 to solve for x: x = 19872 / 96

Therefore, the solution to the equation 1024 : (3x - 589) = 32 is x = 207.

2. To determine the time it takes for a boat to return against the current, we need to consider the boat's speed and the speed of the current. Let's assume the distance between the two docks is D.

Given: - Boat's speed: 12 km/h - Current's speed: 3 km/h - Time taken to travel downstream: 3 hours

When the boat is traveling downstream, it benefits from the current's speed, so its effective speed is the sum of its own speed and the current's speed. Therefore, the boat's effective speed is 12 km/h + 3 km/h = 15 km/h.

Using the formula: Speed = Distance / Time, we can calculate the distance traveled downstream: 15 km/h = D / 3 hours

Simplifying the equation, we find: D = 15 km/h * 3 hours = 45 km

To calculate the time it takes for the boat to return against the current, we need to consider the boat's effective speed when traveling against the current. The boat's effective speed when traveling against the current is the difference between its own speed and the current's speed. Therefore, the boat's effective speed is 12 km/h - 3 km/h = 9 km/h.

Using the formula: Time = Distance / Speed, we can calculate the time taken to travel back: Time = 45 km / 9 km/h = 5 hours

Therefore, it will take the boat 5 hours to return back to the starting point against the current.

3. Let's assume the total number of roses in the garden is R, the total number of peonies is P, and the total number of tulips is T.

Given: - The number of tulips is 128. - Half the number of roses is equal to one-third the number of peonies plus one-fourth the number of tulips.

We can express this information in equations: R = 2 * P R = (1/3) * P + (1/4) * T

Substituting the value of R from the first equation into the second equation, we get: 2 * P = (1/3) * P + (1/4) * T

To solve for the total number of flowers in the garden, we need to find the values of P and T.

Given that the number of tulips is 128, we can substitute T = 128 into the equation: 2 * P = (1/3) * P + (1/4) * 128

Simplifying the equation, we find: 2 * P = (1/3) * P + 32

Multiplying both sides of the equation by 3 to eliminate the fraction, we get: 6 * P = P + 96

Simplifying further, we find: 5 * P = 96

Dividing both sides of the equation by 5, we find: P = 96 / 5 = 19.2

Since the number of flowers cannot be a decimal, we round down to the nearest whole number: P ≈ 19

Substituting the value of P back into the first equation, we find: R = 2 * 19 = 38

Therefore, the total number of flowers in the garden is R + P + T = 38 + 19 + 128 = 185.

4. Let's assume the number of cups in two buckets is B and the number of cups in three bowls is C.

Given: - Two buckets of water are equal to half a bucket. - Three bowls are equal to half a bucket.

We can express this information in equations: 2B = (1/2) * B 3C = (1/2) * B

To find the number of cups in two buckets, we can solve the first equation: 2B = (1/2) * B

Multiplying both sides of the equation by 2 to eliminate the fraction, we get: 4B = B

Simplifying the equation, we find: 3B = 0

This equation implies that B = 0, which means there are no cups in the two buckets.

To find the number of cups in three bowls, we can solve the second equation: 3C = (1/2) * B

Multiplying both sides of the equation by 2 to eliminate the fraction, we get: 6C = B

Therefore, the number of cups in three bowls is equal to the number of cups in two buckets, which is B = 6C.

5. Let's assume Masha's age is M and her father's age is F.

Given: - Masha is 5 years old. - Masha's father is 33 years old.

We need to find the number of years it will take for Masha's father to become 5 times older than Masha.

Let's represent the number of years as Y.

After Y years, Masha's age will be M + Y and her father's age will be F + Y.

According to the given condition, M + Y = (1/5) * (F + Y).

Substituting the given ages, we have: 5 + Y = (1/5) * (33 + Y)

Multiplying both sides of the equation by 5 to eliminate the fraction, we get: 25 + 5Y = 33 + Y

Simplifying the equation, we find: 4Y = 8

Dividing both sides of the equation by 4, we find: Y = 2

Therefore, it will take 2 years for Masha's father to become 5 times older than Masha.