Problema Solution
Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.
How long will each person take to run a total of 50 miles at the given rates?
Answer provided by our tutors
d = 50 mi the distance
t1 = the time of Terrance
t2 = the time of Jesse
Terrance trains at a rate of 6 miles every half hour thus his rate is:
v1 = 6/0.5 = 12 mph
Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:
v2 = 2/(15/60) = 8 mph
since speed = distance/time follows time = distance/speed:
t1 = d/v1
t1 = 50/12
t1 = 4 1/6 hr
t1 = 4 hr 10 min
t2 = d/v2
t2 = 50/8
t2 = 6 1/4 hr
t2 = 6 hr 15 min
Terrance will run 4 hours and 10 minutes.
Jesse will run 6 hours and 15 minutes.
Answer: x=-6
Step-by-step explanation:
Given
2x + 8 = -4
Subtract 8 on both sides
2x + 8 - 8 = -4 - 8
2x = -12
Divide 2 on both sides
2x / 2 = -12 / 2
x = -6
NOTE: I assume the questions "solve for c" actually means "solve for x"
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The three numbers are -1 6/7, -5 4/7, and 5 3/7
Step-by-step explanation:
The three numbers can be represented as...
x, 3x+11, and 3x
x+3x+3x+11=-2
7x+11=-2
7x=-13
x= - 1 6/7
3x= -5 4/7
3x+11= 5 3/7
A+7=0
A+7-7=0-7
A=-7
B+3=7
B+3-3=7-3
B=4
