Three hours after the bus starts out, it's 150 miles ahead of the truck. Then the truck starts out, and it gains (65-50)=15 miles on the bus every hour. If neither of them ever stops for anything, the truck will catch up to the bus in ( 150/15 ) = 10 hours. . . . (The hint is useless.)
X = 6 cos(t)
y = 3 sin(t)
we can rewrite these equations as:

Taking squares of both equations we get:

Adding both the equations, we get:
You need k by itself, so the only way to do that is to divide both sides by 5
Answer: $74
<u>Step-by-step explanation:</u>
Let C represent the cost of a coach ticket
Let B represent the cost of a business ticket
Washington: 150C + 50B = 18,450
NY City: 170C + 100B = 27,280
Solve the system using the Elimination method:
-2(150C + 50B = 18,450) → -300C - 100B = -36,900
1(170C + 100B = 27,280) → <u>170C + 100B = 27,280 </u>
-130C = - 9,620
<u> ÷ -130 </u> <u> ÷ -130 </u>
C = 74
Answer:
A) x = 15
Step-by-step explanation:
4x - 30 = 2x
subtract 2x from each side of the equation:
2x - 30 = 0
add 30 to each side:
2x = 30
x = 15