On roller-skates, Ian can travel 3/4 of a mile in 5 minutes. On his bike, he can travel 3 1/2 miles in 12 minutes. How fast, in miles per hour, can Ian travel on roller skates and on his bike?

Roller skates speed = 9 miles per hour

Bike speed = 17.5 miles per hour

Step-by-step explanation:

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.

Speed = Distance(miles)/Time(hours)

Convert 5 minutes to hour

60 minutes = 1 hour

5 minutes = 5/60

= 1/12 hour

Hence, his speed =

3/4mile ÷ 1/12

= 3/4 × 12/1

= 9 miles per hour

On his bike, he can travel 3 1/2 miles in 12 minutes.

Convert 12 minutes to hour

60 minutes = 1 hour

12 minutes = 12/60 = 1/5

Hence, his speed =

3 1/2 mile ÷ 1/5

= 7/2 ÷ 1/5

= 7/2 × 5/1

= 35/2 miles per hour

= 17.5 miles per hour

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

%40

step-by-step explanation: