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Evaluate 
8a-1+0.5 b when 
a=(1)/(4) and 
b=10.

Evaluate \newline8a1+0.5b8a-1+0.5b when \newlinea=14a=\frac{1}{4} and \newlineb=10b=10.

Full solution

Q. Evaluate \newline8a1+0.5b8a-1+0.5b when \newlinea=14a=\frac{1}{4} and \newlineb=10b=10.
  1. Substitute values into expression: Substitute the given values of aa and bb into the expression.\newlineSubstitute a=14a = \frac{1}{4} and b=10b = 10 into the expression 8a1+0.5b8a - 1 + 0.5b.\newlineExpression: 8(14)1+0.5(10)8\left(\frac{1}{4}\right) - 1 + 0.5(10)
  2. Multiply by 11/44: Multiply 88 by 1/41/4.\newline88 times 1/41/4 equals 22.\newlineCalculation: 8×(1/4)=28 \times (1/4) = 2
  3. Multiply by 00.55: Multiply 0.50.5 by 1010. 0.50.5 times 1010 equals 55. Calculation: 0.5×10=50.5 \times 10 = 5
  4. Combine and subtract: Combine the results from Step 22 and Step 33 and subtract 11. Combine 22 (from Step 22) and 55 (from Step 33) and then subtract 11. Calculation: 2+51=71=62 + 5 - 1 = 7 - 1 = 6

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