Answer:
John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.
Step-by-step explanation:
Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:
3.5x + 2x = 46.75, where the coefficients equals the amount of hours.
Let's solve for x!
5.5x=46.75
x = 46.75/5.5 = 17/2 = 8.5
John and Pam are paid 8.5 dollars per each hour worked.
To figure out John's share of the money, we will multiply the wage by the hours he worked.
8.5 x 3.5 = 29.75
Answer:
24 mph for both 60 miles and 40 miles.
Step-by-step explanation:
We need to find how long it takes to get to college and from it.
Speed x time (x) = Distance (60)
30x = 60
x=2
It takes two hours to get to college
20x = 60
x = 3
It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average
30+30+20+20+20=120
120/5= 24
The average speed for the round trip is 24.
To do the second part, we follow the same process, but replace 60 with 40 for distance.
30x=40
x= 1.33
20x=40
x=2
We can add the total distance and divide by total time to find the average.
The total distance is 80. Time is 3.33
80/3.33=24
The average speed is still 24.
200=x-4 original equation
204=x addition property of equality (add 4 on both sides)
x=204 symmetric property
