Determine the average of the two real numbers $3x5\frac { 3 x } { 5 }$ and $5x9\frac { 5 x } { 9 }$ .

A) $16x9\frac { 16 x } { 9 }$
B) $26x45\frac { 26 x } { 45 }$
C) $52x45\frac { 52 x } { 45 }$
D) $2x7\frac { 2 x } { 7 }$
E) $4x5\frac { 4 x } { 5 }$

Question

Determine the average of the two real numbers

3x5\frac { 3 x } { 5 }

and

5x9\frac { 5 x } { 9 }

.

A)

16x9\frac { 16 x } { 9 }

B)

26x45\frac { 26 x } { 45 }

C)

52x45\frac { 52 x } { 45 }

D)

2x7\frac { 2 x } { 7 }

E)

4x5\frac { 4 x } { 5 }

Kelly Flynn · Accepted Answer

Final Answer : B, Explanation :   The average of two numbers is found by adding them together and dividing by 2. So, the average of   3 x 5 \frac{3x}{5} 5 3 x ​   and   5 x 9 \frac{5x}{9} 9 5 x ​   is   3 x 5 + 5 x 9 2 \frac{\frac{3x}{5} + \frac{5x}{9}}{2} 2 5 3 x ​ + 9 5 x ​ ​  . Finding a common denominator (45) and simplifying gives   27 x + 25 x 45 2 = 52 x 90 = 26 x 45 \frac{\frac{27x + 25x}{45}}{2} = \frac{52x}{90} = \frac{26x}{45} 2 45 27 x + 25 x ​ ​ = 90 52 x ​ = 45 26 x ​  .

Determine the average of the two real numbers $3x5\frac { 3 x } { 5 }$ and $5x9\frac { 5 x } { 9 }$ .

A) $16x9\frac { 16 x } { 9 }$
B) $26x45\frac { 26 x } { 45 }$
C) $52x45\frac { 52 x } { 45 }$
D) $2x7\frac { 2 x } { 7 }$
E) $4x5\frac { 4 x } { 5 }$

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Learning Objectives

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Determine the average of the two real numbers 3x5\frac { 3 x } { 5 }53x​ and 5x9\frac { 5 x } { 9 }95x​ .A) 16x9\frac { 16 x } { 9 }916x​ B) 26x45\frac { 26 x } { 45 }4526x​ C) 52x45\frac { 52 x } { 45 }4552x​ D) 2x7\frac { 2 x } { 7 }72x​ E) 4x5\frac { 4 x } { 5 }54x​

Definitions

Learning Objectives

Learning Objectives

Related questions

Determine the average of the two real numbers $3x5\frac { 3 x } { 5 }$ and $5x9\frac { 5 x } { 9 }$ .

A) $16x9\frac { 16 x } { 9 }$
B) $26x45\frac { 26 x } { 45 }$
C) $52x45\frac { 52 x } { 45 }$
D) $2x7\frac { 2 x } { 7 }$
E) $4x5\frac { 4 x } { 5 }$