BhavyaG121062 BhavyaG121062
  • 26-10-2022
  • Mathematics
contestada

For which values of k would the product of k/3 x 12 be greater thatn 12?A 1 6/8B 1 7/8C 3 7/8D 61/8

Respuesta :

AmerahI54088 AmerahI54088
  • 26-10-2022

Answer

C and D

Explanation

The product of k/3 x 12 be greater than 12 gives the linear inequality:

[tex]\frac{k}{3}\times12>12[/tex]

Multiply both sides of the inequality by 3

[tex]\begin{gathered} 3\times\frac{k}{3}\times12>3\times12 \\ 12k>36 \\ \text{Divide both sides by 12} \\ \frac{12k}{12}>\frac{36}{12} \\ k>3 \end{gathered}[/tex]

This implies the values of k must be greater than 3.

From the options given, only options C. 3 7/8 and D. 61/8 are greater than 3

Hence, the correct answers are C 3 7/8 and D 61/8

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