Question

Помогите решить пожалуйста! Номер 1. Решите линейное уравнение 3(x+5) = -10 -2x Номер 2. Решите задачу, выделяя три этапа математического моделирования. Голубая акула и меч-рыба плывут к одному и тому ж∞е месту охоты навстречу друг другу. Эхолот зафиксировал между ними расстояние 3600 метров. Скорость меч-рыбы в 3 раза превышает скорость акулы. Найдите скорость каждой рыбы, если к месту охоты они прибыли через 1,5 минут после полученного эхолотом сигнала.Заранее спасибо.

Answer 1

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Answer 2

1
3x+15=-10-2x
3x+2x=-10-15
5x=-25
x=-5
2
Пусть хм/м скорость акулы.Тогда скорость меч-рыбы 3хм/м.Зная,что за 1,5мин они преодолели расстояние 3600м,составляем уравнение
(х+3х)*1,5=3600
4х*1,5=3600
6х=3600
х=3600:6
х=600м/мин-скорость акулы
3*600=1800м/мин скорость меч-рыбы

Answer 3

Answer to Question 1:

To solve the linear equation 3(x+5) = -10 - 2x, we can follow these steps:

1. Distribute the 3 to both terms inside the parentheses: 3x + 15 = -10 - 2x

2. Combine like terms by moving the variables to one side and the constants to the other side: 3x + 2x = -10 - 15

Simplifying further: 5x = -25

3. Solve for x by dividing both sides of the equation by 5: x = -25/5

Simplifying further: x = -5

Therefore, the solution to the given linear equation is x = -5.

Answer to Question 2:

To solve the problem involving the blue shark and the swordfish, and finding their speeds, we can break it down into three stages of mathematical modeling:

1. Stage 1: Problem Formulation In this stage, we define the problem and gather the necessary information. The problem states that the blue shark and the swordfish are swimming towards each other to a hunting spot. The echo sounder detects a distance of 3600 meters between them. It is also mentioned that the swordfish's speed is three times greater than the shark's speed. We need to find the speed of each fish.

2. Stage 2: Mathematical Modeling In this stage, we translate the problem into mathematical equations. Let's assume the speed of the blue shark is represented by 's' (in meters per minute). Since the swordfish's speed is three times greater, we can represent the swordfish's speed as '3s'. The time it takes for both fish to reach the hunting spot is given as 1.5 minutes. We can use the formula: distance = speed × time to model the problem.

For the blue shark: distance = speed × time 3600 = s × 1.5

For the swordfish: distance = speed × time 3600 = 3s × 1.5

3. Stage 3: Solution In this stage, we solve the mathematical equations to find the values of the variables. Let's solve the equations:

For the blue shark: 3600 = s × 1.5 Dividing both sides by 1.5: 2400 = s

For the swordfish: 3600 = 3s × 1.5 Dividing both sides by 4.5: 800 = s

Therefore, the speed of the blue shark is 2400 meters per minute, and the speed of the swordfish is 800 meters per minute.

Please let me know if you need any further assistance.