Question

-0,6(4х - 12) + 0,4(5х - 7), если х = 4целых 1/6​

Answer 1

Пошаговое объяснение:

$- 0.6(4x - 12) +0.4(5x - 7) = \\ = - 2.4x + 7.2 + 2x - 2.8 = \\ = - 0.4x + 4.4 \: pri \: x = 4 \frac{1}{6} \\ - 0.4 \times 4 \frac{1}{6} + 4.4 = \\ = - \frac{2}{5} \times \frac{25}{6} + \frac{22}{5} = \\ = - \frac{5}{3} + \frac{22}{5} = \\ = \frac{41}{15} = 2 \frac{11}{15}$

Answer 2

To solve the expression $-0.6(4x - 12) + 0.4(5x - 7)$ when $x = 4 \frac{1}{6}$, you first need to substitute the given value of $x$ into the expression and then simplify it step by step.

First, let's find the exact value of $x$ when it is in the mixed number form $4 \frac{1}{6}$. To convert the mixed number to an improper fraction, multiply the whole number (4) by the denominator of the fraction (6) and add the numerator (1). This gives you $4 \times 6 + 1 = 25$. So, $x = \frac{25}{6}$.

Now, substitute $x = \frac{25}{6}$ into the expression:

$$-0.6\left(4 \times \frac{25}{6} - 12\right) + 0.4\left(5 \times \frac{25}{6} - 7\right)$$

Now, simplify inside the parentheses:

$$-0.6\left(\frac{100}{6} - 12\right) + 0.4\left(\frac{125}{6} - 7\right)$$

$$-0.6\left(\frac{100 - 72}{6}\right) + 0.4\left(\frac{125 - 42}{6}\right)$$

$$-0.6\left(\frac{28}{6}\right) + 0.4\left(\frac{83}{6}\right)$$

$$-0.6 \times 4.67 + 0.4 \times 13.83$$

$$-2.80 + 5.53$$

$$2.73$$

So, the simplified value of the expression $-0.6(4x - 12) + 0.4(5x - 7)$ when $x = 4 \frac{1}{6}$ is $2.73$.