Hello,
What we want to do is multiply 1/6 by each value within the parentheses individually.
So, it would be:
(1/6) * (18x) = 3x
(1/6) * (-24) = -4
Together, this would be 3x-4.
Hope this helps!
Answer:
The cost of traveling 25km would be $3000.
You can travel 35 km for $4200.
Step-by-step explanation:
Consider the provided information.
For 30km cost $3,600.
30 km = $3600
Divide both sides by 30.

....(1)
The cost of 1 km is $120.
Part (A) what would be the cost of traveling 25km
Multiply both the sides of equation 1 by 25.
25 km = 3000
Hence, the cost of traveling 25km would be $3000.
Part(B) How far could you travel for $4,200?
Divide 4200 by 120.

Hence, you can travel 35 km for $4200.
Since there are 60 seconds in a minute multiply 8 by 60
The rate is 480 feet per minute.
Answer:
The right statement is sin(J) = cos(L) ⇒ answer D
Step-by-step explanation:
* Lets describe the figure
- LKJ is a right triangle, where K is a right angle
∵ m∠K = 90°
∵ LJ is opposite to angle K
∴ LJ is the hypotenuse
∵ LJ = 219
∵ KJ = 178
- By using Pythagoras Theorem
∵ (LJ)² = (LK)² + (KJ)²
∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides
∴ (LK)² = (219)² - (178)²
∴ (LK)² = 16277
∴ LK = √16277 = 127.58
* Lets revise how to find the trigonometry function
# sin Ф = opposite/hypotenuse
# cos Ф = adjacent/hypotenuse
# tan Ф = opposite/adjacent
∵ LK is the opposite side to angle J
∵ LJ is the hypotenuse
∵ sin(J) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ sin(J) = 127.58/219 = 0.583
∵ LK is the adjacent side to angle L
∵ LJ is the hypotenuse
∵ cos(L) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ cos(L) = 127.58/219 = 0.583
∴ sin(J) = cos(L)
* The right statement is sin(J) = cos(L)