Yesterday, jack drove 40 1/2 miles. he used 1 1/4 gallons of gasoline. what is the unit rate for miles per gallons

From the information we have, Jack drove 401/2 miles and used a total of 1 1/4 gallons of gasoline.

We need to find out how many miles he travelled  per each gallon.

40 1/2 miles can be written as 40.5 miles

1 1/4 gallons  can be written as 1.25 gallons.

So now we form an equation.

40.5 = 1.25

   x = 1

Where x is the number of miles per gallon

We cross multiply the equation

40.5 * 1 = 1.25 * x

40.5 = 1.25x

40.5 / 1.25  = x

 32.4 = x

x = 32 .4

So the unit rate for miles per gallons is 32.4 miles per gallon

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!

goog may have it for you