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:
7/16
Step-by-step explanation:
Let the fraction be x/y
(x+5)/(y+5) = 4/7
7x + 35 = 4y + 20
7x + 15 = 4y
(x-1)/(y-1) = 2/5
5x - 5 = 2y - 2
2y = 5x - 3
7x + 15 = 2(5x - 3)
7x + 15 = 10x - 6
3x = 21
x = 7
2y = 5(7) - 3
2y = 32
y = 16
x/y = 7/16
6x+4y=2
3x+2y=1
If you multiply by 2 the second statement you'll get the first one which means they belong to the same graph (same line, lines are coincident). The system is consistent and dependent.
The answer is: C. coincident
