Atrain travels at a constant speed for one hour and 40 minutes. during this time the train travels 95 miles. if the train continues at the same constant speed, which equation models the number of miles, m,it will travel in t hours?
a)m=5/3t
b)m=3/5t
c)m=31t
d)m=57t

m = 57t, where the units of measurement of 57 are mph and that of t is hr.

Step-by-step explanation:

Use the given info to find the speed of the train, which is a unit rate:

  95 miles           95 mi

 = = 0.95 mile/min

1 hr 40 min       100 min

Better yet, use hours, not minutes.

  95 miles           95 mi

 = = 57 mph

1 hr 40 min       1 2/3  hr

Then m(t) = (rate)(time) = (57 mph)t    This corresponds to Answer D.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6