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Let n = the hours elapsed when the two trains are 660 miles apart.
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
I hope this helps. Sorry it took so long
Answer:
Y = 6*y
Step-by-step explanation:
We have Y = b * y by a factor of 6.
That is, b = 6.
now, to find what results only in a horizontal compression of y = b * y by a factor of 6.
By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.
Therefore, knowing the above, the answer would be:
Y = 6 * y
Answer:
450 x (1 + 0.5) ^ X = Phone subscribers
Step-by-step explanation:
Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:
450 x (1 + 0.5) ^ X = Phone subscribers
So, for example, in 3 months, the number of subscribers would be the following:
450 x (1 + 0.5) ^ 3 = 1,518.75
Thus, in 3 months, the company would have 1,518 subscribers.
Answer:
The number of Jack's stamps is 33 and Dylan's stamps is 13
Step-by-step explanation:
Let
x -----> the number of Jack's stamps
y -----> the number of Dylan's stamps
we know that
x+y=46 ----> equation A
x=y+20 -----> equation B
Solve by substitution
substitute equation B in equation A and solve for y
(y+20)+y=46
2y=46-20
2y=26
y=13 stamps
Fond the value of x
x=y+20 -----> x=13+20=33 stamps
therefore
The number of Jack's stamps is 33 and Dylan's stamps is 13
