Extra Math Practice #156-160

A musician recorded 15 songs with an average length of 215 seconds for potential inclusion on his new album. After discussion with the label that would release the album, it was decided that the final version of the album would include 13 songs and have a duration of 48 minutes and 15 seconds. No silence was added between songs. What is the average length, in seconds, of the recorded songs that were EXCLUDED from the final version of the album?

$\dfrac{\left(\dfrac{x^a x^2}{x^3}\right)^3}{x^a}=x^5$

In the equation above, $a$ is a constant. What is the value of $a$ ?

If $f(x+7)=5x+5$ for all values of $x$ , which of the following is equal to $f(2x)$ ?

A) $10x+19$

B) $10x+14$

C) $10x-30$

D) $10x-60$

In the $xy$ -plane, line $k$ passes through the points $(-4,0)$ and $(0,-7)$ . Line $j$ is parallel to line $k$ and passes through the point $(8,14)$ . What is the value of the $x$ -intercept of line $j$ ?

The area of the figure above is 108 square inches. What is the value of $m$ , in inches?

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