Answer: Leanna ran 39.96 miles before she was passed by Irina.
Step-by-step explanation:
When Irina would pass Leanna, they would have ran the same distance.
Let t represent the time that Leanna ran before she was passed by Irina.
Distance = speed × time
Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is
4.8 × t = 4.8t
During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is
t - 0.333
Distance ran by Irina is
5(t - 0.333) = 5t - 1.665
Since they ran the same distance, then
4.8t = 5t - 1.665
5t - 4.8t = 1.665
0.2t = 1.665
t = 1.665/0.2 = 8.325 hours
Therefore, the distance that Leanna ran before she was passed by Irina is
4.8 × 8.325 = 39.96 miles
A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.
All percentages can be expressed as fractions or decimals. To find a percentage of a number, we multiply the percentage with the number. In this case:
3/100 * 16/1 = 48/100 = 0.48
Or:
0.03 * 16 = 0.48
Her new hourly wage would be $16.48
$ 25.00-$10.81=14.19.
14.19-0.38=13.81.
13.81-10.00=3.81.
He can buy 10 packages of the peanuts.
Answer:
y=17/5 ,x= 38
Step-by-step explanation:
-4+5y =13 add 4 both side
4-4+5y=13+4
5y=17
5y/5=17/5 y=17/5
x-5y=21
x-5(17/5)=21
x-17=21
x=21+17= 38