Each team in a relay race has three members. The first member runs 5/6 mile. The second member swims 1/12 mile. The third member bicycles 7/8 mile. What is the total distance each team must cover?

The answer to your question is 1  19/24 mi

Step-by-step explanation:

Data

first distance = 5/6 mi

second distance = 1/12 mi

third distance = 7/8 mi

total distance = ?

Process

1.- Sum up the three distances to find the total distance.

       5/6 + 1/12 + 7/8 =

- Find the Greatest common factor

                6   12   8    2

                3    6   4    2

                3    3   2    2

                3    3   1     3

                 1    1

  GCF = 2 x 2 x 2 x 3 = 24

- Sum up the values

        5/6 + 1/12 + 7/8 = ( 20 + 2 + 21 ) / 24

                                  = 43 / 24

- Convert the improper fraction to a mixed fraction

                                1

                      24   43

                              19

-Result  = 1 19/24 mi      

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°

c

step-by-step explanation: