One machine can complete a job in 10 minutes. if the same job is done by this machine and an older machine working together, the job can be completed in 6 minutes. how long would it take the older machine to do the job alone?

15 minutes

Step-by-step explanation:

The speed of the first machine is 1/10 job/minute.

The speed of the older machine is x.

Their combined speed is:

x + 1/10 = 1/6

Solving for x:

x = 1/6 − 1/10

x = 5/30 − 3/30

x = 2/30

x = 1/15

The speed of the older machine is 1/15 job/minute, so it takes 15 minutes for the older machine to do the job alone.

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step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°