Question

3)
\frac{-10.5 + m}{11.57} = -2.748

Explanation:

Step1: Identify the equation

The equation is $\frac{-10.5 + m}{11.57} = -2.748$.

Step2: Multiply both sides by 11.57

To isolate the numerator, we multiply both sides of the equation by 11.57:
$(-10.5 + m) = -2.748 \times 11.57$

Step3: Calculate the right-hand side

First, calculate $-2.748 \times 11.57$. Let's compute that:
$-2.748 \times 11.57 \approx -31.80436$

Step4: Solve for m

Now, we have $-10.5 + m = -31.80436$. To solve for m, we add 10.5 to both sides:
$m = -31.80436 + 10.5$

Step5: Calculate the result

$-31.80436 + 10.5 = -21.30436$

Answer:

$m \approx -21.3044$ (rounded to four decimal places) or depending on the required precision, $m \approx -21.30$ (rounded to two decimal places) or $m = -21.30436$ (exact value from the calculation).