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Evaluate 
(1)/(4)c+3d when 
c=6 and 
d=7.

Evaluate 14c+3d\frac{1}{4}c+3d when c=6c=6 and d=7d=7.

Full solution

Q. Evaluate 14c+3d\frac{1}{4}c+3d when c=6c=6 and d=7d=7.
  1. Substitute values into expression: Substitute the given values for cc and dd into the expression.\newlineExpression: 14c+3d\frac{1}{4}c + 3d\newlineSubstitute c=6c = 6 and d=7d = 7.\newlineExpression becomes: 146+37\frac{1}{4}\cdot 6 + 3\cdot 7
  2. Simplify expression by multiplication: Simplify the expression by performing the multiplication.\newlineFirst, calculate (14)×6(\frac{1}{4})\times 6.\newline(14)×6=64=1.5(\frac{1}{4})\times 6 = \frac{6}{4} = 1.5
  3. Calculate (14)×6(\frac{1}{4})\times 6: Next, calculate 3×73\times 7.3×7=213\times 7 = 21
  4. Calculate 3×73 \times 7: Add the results from the previous steps to get the final value.\newline1.5+21=22.51.5 + 21 = 22.5

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