Question

A) 1 3/4: 3,75=4x:15

Answer 1

13/4 : 3,75= 4х:15
4х * 3,75=13/4*15
4х*3,75=48,75
4х=48,75:3,75
4х=13
х=3,25

Answer 2

To solve the proportion $\frac{1\frac{3}{4}}{3.75} = \frac{4x}{15}$, you can cross-multiply and then solve for $x$.

Cross-multiply: $(1\frac{3}{4}) \cdot 15 = 3.75 \cdot (4x)$

First, convert $1\frac{3}{4}$ to an improper fraction:

$1\frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}$

Now, substitute the values into the equation:

$\frac{7}{4} \cdot 15 = 3.75 \cdot (4x)$

Now, simplify:

$\frac{7}{4} \cdot 15 = \frac{105}{4} = 3.75 \cdot 4x$

Now, solve for $x$:

$4x = \frac{105}{4}$

To isolate $x$, divide both sides by 4:

$x = \frac{105}{4 \cdot 4}$

Simplify:

$x = \frac{105}{16}$

So, the value of $x$ is $\frac{105}{16}$.