The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...

C = 45x

T = 60x

Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...

45(x+2) = 60x ... distribute 45 evenly

45x + 90 = 60x ... subtract 45x from both sides

90 = 15x ... divide both sides by 15

6 = x

Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...

D = C + T

3 0

3 years ago

An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800

TEA [102]

Answer:

full page = 8

half page = 5

Step-by-step explanation:

two equations can be derived from the question

40x + 75y = 800 equation 1

x + y = 13 equation 2

x = number of half page advertisement

y = number of full page advertisement

multiply equation 2 by 40

40x + 40y = 520 equation 3

subtract equation 3 from 2

280 = 35y

y = 8

substitute for y in equation 2

x + 8 = 13

x = 13 - 8

x = 5

6 0

3 years ago