Question

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the sum of the number and eight 5(x 11) 3(x 8) startfraction 5 x 11 over 3 x 8 endfraction start fraction 5 (x 11) over 3 (x 8) endfraction 5x 11 3x 8

Answer 1

The overall algebraic  expression will be:   $\frac{5(x+11)}{3(x+8)}$

Definition of algebraic expression -

An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Five times the sum of a number and eleven, divided by three times the sum of the number and eight.

Let the number be x.

Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall algebraic expression will be:    $\frac{5(x+11)}{3(x+8)}$

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