Question

1. \\(\frac{-7.3 + r}{9.2} = -0.739\\)

Explanation:

Step1: Multiply both sides by 9.2

To eliminate the denominator, we multiply both sides of the equation $\frac{-7.3 + r}{9.2} = -0.739$ by 9.2.
$$\frac{-7.3 + r}{9.2} \times 9.2 = -0.739 \times 9.2$$
Simplifying both sides, we get:
$$-7.3 + r = -0.739 \times 9.2$$

Step2: Calculate the right - hand side

Calculate the product of - 0.739 and 9.2.
$$-0.739\times9.2=-6.7988$$
So the equation becomes:
$$-7.3 + r=-6.7988$$

Step3: Solve for r

Add 7.3 to both sides of the equation to isolate r.
$$r=-6.7988 + 7.3$$
$$r = 0.5012$$

Answer:

$r = 0.5012$