Question

1. simplify: \\(\frac{2}{3}(24) - (2 + 3)^2\\) 3) solve algebraically for m: \\(\frac{m}{4} - 2.25 = 6\\)

Explanation:

Step1: Simplify fraction multiplication

$\frac{2}{3}(24) = 2 \times 8 = 16$

Step2: Simplify parentheses and exponent

$(2+3)^2 = 5^2 = 25$

Step3: Subtract the two results

$16 - 25 = -9$

Step4: Isolate the fraction term

Add 2.25 to both sides:
$\frac{m}{4} = 6 + 2.25$
$\frac{m}{4} = 8.25$

Step5: Solve for m

Multiply both sides by 4:
$m = 8.25 \times 4$
$m = 33$

Answer:

1. $-9$
2. $33$