Mario walked at a rate of 5/6 miles every 10 minutes what is his unit rate every mile per hour

Mario's unit rate is 5/1

Step-by-step explanation:

We know that Mario walks 5/6 miles per 10 minutes.

We need to find out how many miles Mario walks in 60 minutes (1 hour).

10 * 6 = 60. Which means that we must multiply 5/6 by 6.

30/6 = 5

Mario walks 5 miles per hour.

To put this in to a unit rate we must put this is a fraction:

Substitute:

5/1

Mario's unit rate is given by 900 miles/hour

Step-by-step explanation:

We have been given that Mario walked at a rate of 2/3 miles every 10 minutes

We have the relation between speed, time and distance, which is given by

speed = distance/Time

we have,

distance = 2/3 miles

Time = 10 minutes

On substituting these values in above formula, we got

speed 2/3 /10

speed 2/10.3

We have to find the unit rate in mile per hour, so we need to multiply it by 60

Thus, unit rate is given by

1/15 X 60

= 4 miles/hour

Step-by-step explanation:

The area of the composite shape is the sum of the areas of the semi circle with a diameter of 8 m and the triangle with a height of 8 m and with a base of 12 m.

Area = A_semicircle = A_triangle

Formulas:

A_semicircle = 0.5πr² or 0.125πd²

where:

r = radius

d = diameter

A_triangle = 0.5bh

where:

b = base

h = height

Solution:

For the semicircle:

A_semicircle = 0.125π(8)²

A_semicircle = 8π or 25.13 m²

For the triangle:

A_triangle = 0.5(12)(8)

A_triangle = 48 m²

For the area of the composite shape:

A = 25.13 + 48

A = 73.13 m²