Ava ran 4 1/6 miles in 36 11/24 minutes. Assuming she kept a constant pace, how many miles did she run each minute

4/35 miles per minutes

Step-by-step explanation:

Total miles Ava ran = 4 1/6 miles

Total minutes = 36 11/24 minutes

how many miles did she run each minute ?

Miles per minutes = Total miles / total minutes

= 4 1/6 miles / 36 11/24 minutes

= 25/6 miles ÷ 875/24 minutes

= 25/6 × 24/875

= 1/1 × 4/35

= 4/35 miles per minutes

Therefore,

Ava ran 4/35 miles each minutes if she keeps a constant pace

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)