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bezimeni [28]
3 years ago
10

Jim rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 76 cents for each mile dri

ven. Jim had to pay $236.11 when he returned the truck. For how many miles did he drive the truck?
Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer:

287 miles

Step-by-step explanation:

The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.

We can represent the amount he will pay for rent with the equation below:

C = 17.99 + 0.76m

where m = number of miles driven

Jim paid $236.11, therefore:

236.11 = 17.99 + 0.76m

0.76m = 236.11 - 17.99

0.76m =218.12

m = 218.12 / 0.76 = 287 miles

Jim drove 287 miles.

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Mariulka [41]

So one key thing to remember here is that the direction of the correlation is irrelevant, that is it does not matter if your correlation is + or - what matters is how close that number is to 1.0.

To help you out here are the ranges of correlation strength

  • 0.70. A strong relationship
  • 0.50. A moderate relationship
  • 0.30. A weak relationship

So to start off with 0.26 and 0.18 are very small correlations so you'd call those weak correlations.

Let me know if you need help doing the other ones? It should be simple enough with the data I gave you :)


6 0
3 years ago
Read 2 more answers
If Breanna drives a constant speed for 3 hours and travels 180 miles, what is her speed a mile per hour
Georgia [21]

Answer:

60 mph

Step-by-step explanation:

You divide 180 by 3 to get 60 mph

3 0
3 years ago
A car travelled 100 km with half the distance at 40 km/h and the other half at 80 km/h. Find the average speed of the car for th
Nana76 [90]
We must look at this question in steps
The first half of the journey is travelled at 40 km/h
Half of 100km is 50 km
Using the formula
Distance = Speed x Time
Speed = Distance / Time
Time = Distance / Speed
We can work out the time:

50km / 40km/h = 1.25 hours

Next we look at the second half of the journey
50km at 80km/h
50km / 80km/h = 0.625 hours

Add together both times to work out how long the entire journey took
1.25 + 0.625 = 1.875 hours

Using the Speed formula from before
Speed = 100km / 1.875 =
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6 0
3 years ago
The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui
mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

s(t) = -16t^2+v_0t+s_0

Where,

s_0 = initial height of the object,

v_0 = initial velocity of the object,

Here,

s_0=400\text{ feet}

v_0=35\text{ feet per sec}

Hence, the height of the ball after t seconds,

s(t)=-16t^2+35t+400

When s(t) = 0,

\implies -16t^2+35t+400=0

t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}

t=\frac{-35\pm \sqrt{1225+25600}}{-32}

\implies t\approx -4.02\text{ or }t\approx 6.21

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0
3 years ago
The area of a parallelogram is 420cm^2 and the height is 35cm. Find the corresponding base.
bearhunter [10]
The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.
4 0
3 years ago
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