Answer:
x = 33.33 kilometers
Step-by-step explanation:
you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.
; cross multiply.
15x = 500
x = 33.33 kilometers
therefore, the race is 33.33 kilometers.
Step-by-step explanation:
9/8 × (-7/3) =
9 × -7 = -63
8 × 3 = 24
-63/24 simplify
-21/8
Answer:
<1
Step-by-step explanation:
When an observer is at the same level with the submarine, his line of sight above the horizontal upward to the boat would form an angle called the angle of elevation.
Thus, the angle of elevation from the submarine to the boat is marked as <1. <1 is the angle of elevation from the submarine.
We can write two equations for this. x = each minute of calls
Plan A = .1x + 16
Plan B = .14x
Make the two equations equal each other, so we can find when they are the same.
.1x + 16 = .14x
Subtract .1x from both sides
16 = 0.04x
Divide by 0.04 to get x by itself
400 = x.
Earlier, we set x as each minute of calls. This means that after 400 calls, Plan A and Plan B will cost the same.
To find the cost, substitute 400 into both equations by themselves.
Plan A cost = .1x + 16
Plan A cost = .1(400) + 16
Plan A cost = 40 + 16
Plan A cost = $56
Plan B cost = .14x
Plan B cost = .14(400)
Plan B cost = $56
Final answer: After 400 calls, Plan A and Plan B will both cost $56.
