Question

2x/36=5/6; 2)4/9=3x/54; 3)7/21=3x/54; 4)11/33=2/3x; 5)8/5=4x/15; 6)9/16=3x/64.

Answer 1

Ответ:

Смотри решение на фото

Answer 2

Let's solve each of these equations step by step:

1. $\frac{2x}{36} = \frac{5}{6}$

To solve for $x$, we can cross-multiply: $2x \cdot 6 = 36 \cdot 5$

Simplifying the equation: $12x = 180$

Now, divide both sides by 12 to isolate $x$: $x = \frac{180}{12} = 15$

Therefore, the solution is $x = 15$.

2. $\frac{4}{9} = \frac{3x}{54}$

Cross-multiplying: $4 \cdot 54 = 9 \cdot 3x$

Simplifying: $216 = 27x$

Divide both sides by 27: $x = \frac{216}{27} = 8$

The solution is $x = 8$.

3. $\frac{7}{21} = \frac{3x}{54}$

Cross-multiplying: $7 \cdot 54 = 21 \cdot 3x$

Simplifying: $378 = 63x$

Divide both sides by 63: $x = \frac{378}{63} = 6$

So, the solution is $x = 6$.

4. $\frac{11}{33} = \frac{2}{3}x$

To solve for $x$, we'll multiply both sides by the reciprocal of $\frac{2}{3}$, which is $\frac{3}{2}$: $\frac{11}{33} \cdot \frac{3}{2} = x$

Simplifying: $\frac{11}{11} = x$ $1 = x$

Thus, the solution is $x = 1$.

5. $\frac{8}{5} = \frac{4x}{15}$

Cross-multiplying: $8 \cdot 15 = 5 \cdot 4x$

Simplifying: $120 = 20x$

Divide both sides by 20: $x = \frac{120}{20} = 6$

The solution is $x = 6$.

6. $\frac{9}{16} = \frac{3x}{64}$

Cross-multiplying: $9 \cdot 64 = 16 \cdot 3x$

Simplifying: $576 = 48x$

Divide both sides by 48: $x = \frac{576}{48} = 12$

So, the solution is $x = 12$.

To summarize the solutions:

1. $x = 15$
2. $x = 8$
3. $x = 6$
4. $x = 1$
5. $x = 6$
6. $x = 12$