Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and one-half hours, which equation can be used to find x, the distance in miles from Juan's house to the park? Distance (mi) Rate (mi/hr) Time (hr) Trip to Park x 4 mph Trip to Home x 6 mph StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 and one-half 4 x + 6 x = 1 and one-half 4 x + 6 x = 1

Step-by-step explanation:

Speed is the ratio of distance traveled to the total time taken. It is given by the equation:

speed = distance / time.

Given that the distance to the park = x miles.

On his way to the park, he averages 4 miles per hour. Let the time taken be therefore:

speed = distance / time.

4 = x /  

= x / 4

On his way home, he averages 6 miles per hour Let the time taken be therefore:

speed = distance / time.

6 = x /  

= x / 6

The total trip takes 1 and one-half hours, therefore:

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.

false

step-by-step explanation: