Question

⅛x+20,25=0,8×(3 ½x + 5 ¼)​

Answer 1

Ответ:

⅛x+20,25=0,8×(3½x+5¼)

x=6

Пошаговое объяснение:

⅛x+20,25=0,8×(3½x+5¼)

⅛x+20,25=2,8x+4,2

⅛x-2,8x=4,2-20,25

-2 27/40x= -16,05

x=6

Answer 2

To solve the given equation, $\frac{1}{8}x + 20.25 = 0.8 \times \left(3\frac{1}{2}x + 5\frac{1}{4}\right)$, we need to first simplify the equation by dealing with the fractions.

Let's start by dealing with the fractions inside the parentheses on the right side of the equation:

$3\frac{1}{2}x = 3.5x$
$5\frac{1}{4} = 5.25$

Now, the equation becomes:

$\frac{1}{8}x + 20.25 = 0.8 \times (3.5x + 5.25)$

Next, distribute 0.8 into the parentheses:

$\frac{1}{8}x + 20.25 = 2.8x + 4.2$

Now, let's move all the terms involving $x$ to one side of the equation and the constants to the other side:

$\frac{1}{8}x - 2.8x = 4.2 - 20.25$

To combine the terms with $x$, find a common denominator for $\frac{1}{8}$ and $-2.8$, which is 8:

$\frac{1}{8}x - \frac{28}{10}x = -16.05$

Now, combine the terms:

$\frac{10}{10} \times \frac{1}{8}x - \frac{28}{10}x = -16.05$

$\frac{1}{80}x - \frac{28}{10}x = -16.05$

$\frac{1}{80}x - \frac{224}{80}x = -16.05$

$-\frac{223}{80}x = -16.05$

Now, solve for $x$:

$x = \frac{-16.05}{-\frac{223}{80}}$

To divide by a fraction, multiply by its reciprocal:

$x = -16.05 \times \frac{80}{-223}$

$x ≈ 5.75$ (rounded to two decimal places)

So, the solution to the given equation is $x ≈ 5.75$.