Question

1)7:14=16:x2)17:51=b:63)125:x=75:15​

Answer 1

Теория

Пропорции.

$\frac{a}{b} = \frac{c}{d} \Leftrightarrow ad = bc$

Решение

$\frac{7}{14} = \frac{16}{x} \Leftrightarrow 14 * 16 = 7 * x \Leftrightarrow 224 = 7x \Leftrightarrow x = \frac{224}{7} = 32$

$\frac{17}{51} = \frac{b}{6} \Leftrightarrow 17 * 6 = 51 * b \Leftrightarrow b = \frac{102}{51} = 2$

$\frac{125}{x} = \frac{75}{15} \Leftrightarrow 125 * 15 = 75 * x \Leftrightarrow x = \frac{1875}{75} = 25$

Ответ: 32; 2; 25.

Answer 2

Ответ:

7:14=16:32

17:51=2:6

125:25=75:15

Answer 3

Let's solve each proportion step by step:

1. 7:14 = 16:x

To solve for x, you can cross-multiply:

7 * x = 14 * 16

Now, simplify:

7x = 224

Now, divide both sides by 7 to isolate x:

x = 224 / 7 x = 32

So, the value of x is 32.

2. 17:51 = b:63

Again, cross-multiply to solve for b:

17 * 63 = 51 * b

Now, simplify:

1071 = 51b

Divide both sides by 51 to isolate b:

b = 1071 / 51 b = 21

So, the value of b is 21.

3. 125:x = 75:15

Cross-multiply:

125 * 15 = 75 * x

Now, simplify:

1875 = 75x

Divide both sides by 75 to isolate x:

x = 1875 / 75 x = 25

So, the value of x is 25.