Answer:
x = the first mystery number = 2
y = the second mystery number = 0.8
Step-by-step explanation:
Let
x = the first mystery number
y = the second mystery number
8*x + 10*y = 24
8x + 10y = 24
7*x + 10*y = 26
7x + 10y = 26
8x + 10y = 24 (1)
7x + 10y = 26 (2)
Subtract (1) from (2) to eliminate y
8x - 7x = 26 - 24
x = 2
Substitute x = 2 into (1)
8x + 10y = 24 (1)
8(2) + 10y = 24
16 + 10y = 24
10y = 24 - 16
10y = 8
y = 8/10
y = 0.8
x = the first mystery number = 2
y = the second mystery number = 0.8
Answer:
It took Jen 4 hours to catch up with Laura
Step-by-step explanation:
Gaining speed 45-30= 15 mph
Laura's head start 30×2=60 miles
Time for Jen to catch up 60÷15= 4 hours
In other words
30(t+2)= 45t
30t+60= 45t
60=45t-30t
60= 15t
t=4 hours
Use the Pyth. Thm. to calculate the length of MO:
6^2 + 8^2 = |MO| = 36 + 64 = 100. Therefore, |MO| = 10.