Question

1)8,75 : 3,75 = х : 0,75 2) 4,5 : (3х) =4 : 28 3)6,5 : 3,75 = 3,25 : у

Answer 1

Ответ:

Пошаговое объяснение:

$\frac{8.75}{3.75} =\frac{x}{0.75} \\3.75*x=8.75*0.75\\3.75x=6.5625\\x=6.5625:3.75\\x=1.75$

$\frac{4.5}{3x} =\frac{4}{28} \\12x=126\\x=10.5$

$\frac{6.5}{3.75} =\frac{3.25}{y} \\6.5y=12.1875\\y=1.875$

Answer 2

To solve the given equations, we can use basic algebraic operations. Let's find the values of the variables in each equation:

1. $8.75 : 3.75 = \frac{x}{0.75}$

To find the value of $x$, first, we divide 8.75 by 3.75:

$x = \frac{8.75}{3.75} \times 0.75$

$x = 2.3333... \times 0.75$

$x \approx 1.75$

So, $x \approx 1.75$.

2. $4.5 : (3x) = \frac{4}{28}$

To find the value of $x$, first, we divide 4.5 by $3x$:

$\frac{4.5}{3x} = \frac{4}{28}$

Now, let's solve for $x$:

$\frac{4.5}{3x} = \frac{4}{28}$

To eliminate the fractions, we can cross-multiply:

$4.5 \times 28 = 3x \times 4$

$126 = 12x$

Now, divide both sides by 12 to solve for $x$:

$x = \frac{126}{12}$

$x = 10.5$

So, $x = 10.5$.

3. $6.5 : 3.75 = \frac{3.25}{y}$

To find the value of $y$, first, we divide 6.5 by 3.75:

$\frac{6.5}{3.75} = \frac{3.25}{y}$

Now, let's solve for $y$:

$\frac{6.5}{3.75} = \frac{3.25}{y}$

To eliminate the fractions, we can cross-multiply:

$6.5 \times y = 3.75 \times 3.25$

$6.5y = 12.8125$

Now, divide both sides by 6.5 to solve for $y$:

$y = \frac{12.8125}{6.5}$

$y \approx 1.97$

So, $y \approx 1.97$.