Steve and his three friends Amy, Barb, and Colin took a road trip to the beach for Spring Break. Amy drove 3/7 of the way, and Barb and Colin each drove 1/5 of the way. Steve drove the final 24 miles to their destination. How many miles did Barb drive? Please show your work for full credit.

Barb = 28 miles

Step-by-step explanation:

Givens

Let the whole distance = x

Amy = 3/7  x

Barb = 1/5 x

Colin = 1/5 x

Steve = 24

Equation

3/7 x + 1/5x + 1/5x + 24 = x

Solution

Find the fractional amount

3/7 + 1/5 + 1/5             <

15/35 + 7/35 + 7/35   <

29/35 x + 24 = x        <

24 = x  -   29/35 x      <

24 = 6 / 35 x              <

24 * 35 = 6x               <

840 = 6x                    <

140  = x

Barb = 1/5 x = 1/5 * 140 = 28 miles

Amy = 3/7 x = 3/7 * 140 = 60 miles

Colin                                  28

Steve                                 24

Total                                140

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180