Question

1. evaluate ( 7 \times 6 - 2 ^ { 3 } left( \frac { 7 } { 2 } - \frac { 3 } { 2 }

ight) ).

1. drinks come in boxes of 8, and snacks come in boxes of 14. what is the least number of boxes you can purchase so that you have an equal number of drinks and snacks?
2. find the area of the rectangle.

Explanation:

Step1: Calculate \(7\times6\)

\(7\times6 = 42\)

Step2: Calculate \(2^{3}\)

\(2^{3}=2\times2\times2 = 8\)

Step3: Calculate \(\frac{7}{2}-\frac{3}{2}\)

\(\frac{7}{2}-\frac{3}{2}=\frac{7 - 3}{2}=\frac{4}{2}=2\)

Step4: Calculate \(2^{3}(\frac{7}{2}-\frac{3}{2})\)

Substitute the values from Step2 and Step3: \(8\times2=16\)

Step5: Calculate \(7\times6 - 2^{3}(\frac{7}{2}-\frac{3}{2})\)

Substitute the values from Step1 and Step4: \(42-16 = 26\)

Answer:

\(26\)