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Tomtit [17]
2 years ago
6

The cost of renting a boat is $51 for 4 hours. Which of the following is not an equivalent rate? Give the letter of your answer

and justify your answer. Show your work.
A. $76.50 for 6 hours

B. $38.25 for 3 hours

C. $89.25 for 7 hours

D. $63.00 for 5 hours
Mathematics
1 answer:
kondor19780726 [428]2 years ago
7 0

Answer:

D. $63.00 for 5 hours

Step-by-step explanation:

The actual cost to rent the boat per hour is $12.75 when you multiply all the other hours by 12.75 it equals the correct amount except for (D) 5 ×12.75 = 63.75

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A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz
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Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

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3 years ago
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3x = 24000

divide both sides by 3 to get x

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