Your car can go 2/7 of the way on 3/8 of a tank of gas how far can you go on the remaining gas? A proportion that can be used is a/b=c/d

10/21 of the distance

Step-by-step explanation:

2/7 distance

3/8 tank

The rest of the tank is 8/8 - 3/8 = 5/8

2/7 distance         x

=

3/8 tank              5/8 tank

Using cross products

2/7 * 5/8 = 3/8x

10/56 = 3/8x

Multiply each side by 8/3

10/56 * 8/3 = 3/8x * 8/3

10/3 * 8/56=x

10/3 * 1/7 =x

10/21 =x

10/21 of the distance

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.