Question

Задание 1: \frac{0,4 * (0,5-0,4-0,375)}{(3,03*\frac{3}{8}-4\frac{1}{5}*\frac{5}{7})*\frac{11}{127}}= Задание 2: 1) -6(1 - в) - 2(3 + 2в) + 12 2) \frac{4}{9}*(27m-\frac{9}{4}n)-42*(\frac{5}{7}m-0.5n)= Задание 3: 1) 3\frac{1}{2}(3x+1)=0.5(1-3x) 2) 4+5x=16x-0.4+3(2-x)

Answer 1

1. $\frac{0,4 * (0,5-0,4-0,375)}{(3,03*\frac{3}{8}-4\frac{1}{5}*\frac{5}{7})*\frac{11}{127}}= \frac{0,4*(-0,275)}{ (\frac{909}{800}-3)* \frac{11}{127} }$
$\frac{0,4*(-0,275)}{ (\frac{909}{800}-3)* \frac{11}{127} } = \frac{1016}{1491}$
2. 1) $-6(1 - b) - 2(3 + 2b) + 12=-6+b-6-4b+12=-3b$
2) $\frac{4}{9}*(27m-\frac{9}{4}n)-42*(\frac{5}{7}m-0.5n)=12m-n-30m+21n=$
$=20n-18m$
3. 1) $3\frac{1}{2}(3x+1)=0.5(1-3x)$
$\frac{21}{2} x+ \frac{7}{2} =0.5-1.5x$
$10.5x+3.5=0.5-1.5x$
$12x=-3$
$x= -\frac{1}{4}$
2) $4+5x=16x-0.4+3(2-x)$
$4+5x=16x-0.4+6-3x$
$5x-16x+3x=5.6-4$
$-8x=1.6$
$x=-0.2$

Answer 2

To solve the given equations, I'll simplify and solve them step by step.

Задание 1:

The equation is: $\frac{0.4 \cdot (0.5 - 0.4 - 0.375)}{(3.03 \cdot \frac{3}{8} - 4\frac{1}{5} \cdot \frac{5}{7}) \cdot \frac{11}{127}}$

Let's perform the calculations step by step:

$0.5 - 0.4 - 0.375 = 0.125$

Now, the expression inside the parentheses of the denominator: $3.03 \cdot \frac{3}{8} - 4\frac{1}{5} \cdot \frac{5}{7}$

$\frac{3.03 \cdot 3}{8} - \frac{4}{5} \cdot \frac{5}{7} = \frac{9.09}{8} - \frac{4}{7} = \frac{9.09 \cdot 7}{8 \cdot 7} - \frac{4 \cdot 8}{5 \cdot 7} = \frac{63.63 - 32}{40} = \frac{31.63}{40}$

Finally, the entire equation becomes:

$\frac{0.4 \cdot 0.125}{\frac{31.63}{40} \cdot \frac{11}{127}}$

Now, multiply and simplify further:

$0.4 \cdot 0.125 = 0.05$

$\frac{31.63}{40} \cdot \frac{11}{127} = \frac{31.63 \cdot 11}{40 \cdot 127} = \frac{348.93}{5080}$

Now, the equation is:

$\frac{0.05}{\frac{348.93}{5080}}$

To divide by a fraction, we can multiply by its reciprocal:

$\frac{0.05 \cdot 5080}{348.93}$

Now, calculate:

$\frac{254}{348.93} \approx 0.7277$

Задание 1 solution: The value of the expression is approximately 0.7277.

Задание 2:

The equation is: $1) -6(1 - v) - 2(3 + 2v) + 12$

Let's simplify it step by step:

$-6(1 - v) = -6 + 6v$ $-2(3 + 2v) = -6 - 4v$

Now, the entire equation becomes:

$-6 + 6v - 6 - 4v + 12$

Combine like terms:

$6v - 4v - 6 - 6 + 12 = 2v$

So, the solution to the first equation is:

$1) 2v$

Now, let's move to the second equation:

$2) \frac{4}{9}(27m - \frac{9}{4}n) - 42(\frac{5}{7}m - 0.5n)$

Let's simplify it step by step:

$\frac{4}{9}(27m - \frac{9}{4}n) = \frac{4}{9} \cdot 27m - \frac{4}{9} \cdot \frac{9}{4}n = \frac{4}{9} \cdot 27m - n$ $42(\frac{5}{7}m-0.5n$