Question

1)4 1/4÷х=-1 2/3÷(-0.5); 2)-20÷(-3х-2)=-4.

Answer 1

4 1/4 : х= -1 2/3 :(-0,5)
4 1/4 : х= 1 2/3 :0,5
1 2/3 х=4 1/4 * 1/2
1 2/3 х=2 1/8
х=17/8 :5/3
х=17/8 * 3/5
х=51/40

-20 : (-3х -2)= -4
-3х -2= -20 : (-4)
-3х -2=5
3х=-5-2
3х= -7
х= - 7/3
х= - 2 1/3

Answer 2

Решение на фото ....

Answer 3

To solve the equations, let's work through each of them step by step:

1. $4 \frac{1}{4} \div x = -1 \frac{2}{3} \div (-0.5)$

First, let's simplify the division on the right side: $-1 \frac{2}{3} \div (-0.5) = -\frac{5}{3} \div (-0.5)$

Remember, dividing by a negative number is the same as multiplying by its reciprocal. So, $-\frac{5}{3} \div (-0.5)$ becomes $-\frac{5}{3} \times (-2) = \frac{10}{3}$.

Now the equation becomes: $4 \frac{1}{4} \div x = \frac{10}{3}$

Next, let's convert $4 \frac{1}{4}$ to an improper fraction: $4 \frac{1}{4} = \frac{17}{4}$

The equation now becomes: $\frac{17}{4} \div x = \frac{10}{3}$

To isolate $x$, we can multiply both sides by $\frac{1}{\frac{17}{4}}$ (which is the same as dividing by $\frac{17}{4}$):

$x = \frac{10}{3} \times \frac{4}{17}$

Now, multiply the numerators and denominators: $x = \frac{40}{51}$

So, the solution to the equation is $x = \frac{40}{51}$.

2. $-20 \div (-3x-2) = -4$

To solve this equation, let's first get rid of the negative signs by multiplying both sides by $-1$:

$20 \div (3x+2) = 4$

Now, we can solve for $x$. To do that, we'll get rid of the division by multiplying both sides by $(3x+2)$:

$20 = 4 \times (3x+2)$

Now, let's continue solving for $x$:

Expand the right side: $20 = 12x + 8$

Next, isolate $12x$ by subtracting $8$ from both sides: $20 - 8 = 12x$

$12 = 12x$

Finally, solve for $x$ by dividing both sides by $12$: $x = \frac{12}{12}$

$x = 1$

So, the solution to the second equation is $x = 1$.