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Evaluate 
8p+3q-18 when 
p=(1)/(2) and 
q=7.

Evaluate 8p+3q188p+3q-18 when p=12p=\frac{1}{2} and q=7q=7.

Full solution

Q. Evaluate 8p+3q188p+3q-18 when p=12p=\frac{1}{2} and q=7q=7.
  1. Substitute Values: Substitute the given values of pp and qq into the expression.\newlineWe have p=12p = \frac{1}{2} and q=7q = 7. The expression is 8p+3q188p + 3q - 18.\newlineSubstitute pp and qq into the expression:\newline8(12)+3(7)188(\frac{1}{2}) + 3(7) - 18
  2. Perform Multiplication: Perform the multiplication for each term.\newlineCalculate 8×128 \times \frac{1}{2} and 3×73 \times 7:\newline8×(12)=48 \times \left(\frac{1}{2}\right) = 4\newline3×7=213 \times 7 = 21\newlineNow the expression is 4+21184 + 21 - 18.
  3. Add and Subtract: Add and subtract the numbers.\newlineAdd 44 and 2121, then subtract 1818:\newline4+21=254 + 21 = 25\newline2518=725 - 18 = 7
  4. Write Final Answer: Write the final answer.\newlineThe value of the expression 8p+3q188p + 3q - 18 when p=12p = \frac{1}{2} and q=7q = 7 is 77.

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