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aleksandrvk [35]
2 years ago
9

A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same dire

ction at a rate of 54km/h. At what time will the van catch up with the truck?
Mathematics
2 answers:
OverLord2011 [107]2 years ago
6 0

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: brainly.com/question/3004254

netineya [11]2 years ago
5 0

Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

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Answer:

The value of the expected profit from the concert is 8,910

Step-by-step explanation:

Profit on a clear day X₁ = 36,000 with  13% probability.  

i.e  X₁ = 36000

    P(X₁) = 0.13

Profit on a cloudy day = 17,000 with 39% probability.

i.e  X₂ = 17000

    P(X₂) = 0.39

else,

loss of 5,000 if it rains with the probability of 48%.

i.e  X₃ = 5000

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The value of the expected profit from the concert is obtained as follows

Expected Value = (36,000*0.13) + (17,000*0.39) - (5,000*0.48)

                           = 4,680 + 6,630 - 2,400

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8 0
3 years ago
Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operat
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The greatest number is 5. 3 cans of regular and 4 cans of diet. The most 15 can be divided by similarly to 20 is by 5.
8 0
2 years ago
What is 6-2p=p+9 ?Because I don't know it​
nikklg [1K]

Hey there!

  • Firstly, you have to \bold{simplify} each of the sides of your equation
  • \bold{6-2p-p+9\downarrow}
  • \bold{6+(-2p)=p+9\downarrow}
  • \rightarrow\bold{-2p+6=p+9}
  • Now that you have that  portion out of the way, we could  move on to our second step... which is to \bold{subtract} by the value of  \bold{p} on each of your sides
  • \bold{-2p+6-p-p+9-p\downarrow}
  • \rightarrow\bold{-3p+6-9} (you get this because we solve the particular equation we added above)
  • Thirdly, you have to \bold{subtract} by the number \bold{6} on each of your sides
  • \bold{-3p+6-6=9-6\downarrow}
  • \bold{Cancel:6-6} because it equals to \bold{0}
  • \bold{Keep:9-6} because it brings us closer and closer to the answer of \bold{p}
  • Fourthly, we have to \bold{divide} by  the number \bold{-3} on each of your sides
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Good luck on your assignment and enjoy your day!

~\frak{LoveYourselfFirst:)}

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So if we want to know the common solution(s) to a system of 2 equations, So we can just set both equations equal to each other and solve for the x value(s). That’s where I start below;

2x^2-13x+21 = 2x^2+9x-56
2x^2 cancels out and moving everything to one side and anything with an x variable to the other side we have then;
-22x=-77
22x=77 by cancelling the negative signs
x=77/22 therefore x=7/2 or 3.5

Hope this helps you. Any questions please ask.
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