Evaluate 5c+cd when c=(1)/(5) and d=15.

Substitute given values: Substitute the given values for c and d into the expression 5c+cd. c = (1)/(5) and d = 15 Expression: 5*(1/5) + (1/5)*15Simplify first term: Simplify the first term 5*(1/5). Multiplying 5 by (1/5) cancels out the 5 in the denominator. 5*(1/5) = 1Simplify second term: Simplify the second term (1/5)*15. Multiplying (1/5) by 15 is the same as dividing 15 by 5. (1/5)*15 = 3Add simplified terms: Add the simplified terms together. 1 + 3 = 4

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Evaluate $5c+cd$ when $c=\frac{1}{5}$ and $d=15$ .

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Math Problems

Algebra 1

Evaluate variable expressions involving rational numbers

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Q. Evaluate

5c+cd

when

c=\frac{1}{5}

and

d=15

Substitute given values: Substitute the given values for $c$ and $d$ into the expression $5c+cd$ . $c = \frac{1}{5}$ and $d = 15$ Expression: $5\left(\frac{1}{5}\right) + \left(\frac{1}{5}\right)15$
Simplify first term: Simplify the first term $5\times\left(\frac{1}{5}\right)$ . $\newline$ Multiplying $5$ by $\left(\frac{1}{5}\right)$ cancels out the $5$ in the denominator. $\newline$ $5\times\left(\frac{1}{5}\right) = 1$
Simplify second term: Simplify the second term $(\frac{1}{5})\times 15$ . $\newline$ Multiplying $(\frac{1}{5})$ by $15$ is the same as dividing $15$ by $5$ . $\newline$ $(\frac{1}{5})\times 15 = 3$
Add simplified terms: Add the simplified terms together. $\newline$ $1 + 3 = 4$