Question

Решите уравнение: х/16=3/8; 108/90=42/b Решите с помощью пропорции задачу. 1) На пошив 14 одинаковых костюмов израсходовали 49 м ткани. Сколько таких костюмов можно сшить из 84 м ткани? 2) За 7 ч в бассейн налилось 224 л воды. За какое время в него нальётся 288 л воды. ПОМОГИТЕ ПОЖАЛУЙСТА !!

Answer 1

1) 24 костюми
2)за 9 часов

Answer 2

Solving Equations:

To solve the equation x/16 = 3/8, we can cross-multiply and solve for x.

Cross-multiplying gives us: 8x = 3 * 16.

Simplifying the right side of the equation: 8x = 48.

To isolate x, we divide both sides of the equation by 8: x = 48/8.

Simplifying further, we find that x = 6.

[[1]]

For the equation 108/90 = 42/b, we can cross-multiply and solve for b.

Cross-multiplying gives us: 108 * b = 90 * 42.

Simplifying the right side of the equation: 108 * b = 3780.

To isolate b, we divide both sides of the equation by 108: b = 3780/108.

Simplifying further, we find that b = 35.

[[2]]

Solving Proportion Problems:

Let's solve the given proportion problems using the concept of proportions.

1) The problem states that 14 identical suits require 49 meters of fabric. We need to find out how many suits can be made from 84 meters of fabric.

We can set up the proportion as follows: 14/49 = x/84.

To solve for x, we cross-multiply: 14 * 84 = 49 * x.

Simplifying both sides of the equation: 1176 = 49x.

To isolate x, we divide both sides of the equation by 49: x = 1176/49.

Simplifying further, we find that x = 24.

Therefore, 24 suits can be made from 84 meters of fabric.

2) The problem states that 224 liters of water were poured into the pool in 7 hours. We need to find out how long it will take to pour 288 liters of water into the pool.

We can set up the proportion as follows: 224/7 = 288/x.

To solve for x, we cross-multiply: 224 * x = 7 * 288.

Simplifying both sides of the equation: 224x = 2016.

To isolate x, we divide both sides of the equation by 224: x = 2016/224.

Simplifying further, we find that x = 9.

Therefore, it will take 9 hours to pour 288 liters of water into the pool.

I hope this helps! Let me know if you have any further questions.