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olasank [31]
3 years ago
6

1.) Divide $80 among three people so that the second will have twice as much as the first, and the third will have $5 less than

the second.
2.) Justin has $50, which is eighty dollars more than twice what Leo has. How much does Leo have?

3.) Clara spent $35 at the market. This was seven dollars less than three times what she spent at the bookstore. How much did she spend there?

4.)There are b marbles. This is four more than twice the number of red marbles. How many red marbles are there?

5.) Jenna spent $100 on books. This was k dollars less than five times what she spent on lunch. How much did she spend on lunch?

6.) A class of 50 students is divided into two groups. One group has eight less than the other. How many are in each group?

7.) the sum of two numbers is 72, and one of them is five times the other. What are the two numbers?
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
1 ) The first person will have $17. The second person will have $34 and the third person will $29.
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A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m
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Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

  • Mass of the car, v1 = 1500 kg
  • initial speed of car = 35 miles/h

                               =\dfrac{35\times 1609.34}{3600}\ m/s

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

k_1\ =\ \dfrac{1}{2}.m.v_1^2

       =\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule

       = 183606.46 J

  • Final velocity of car v2 = 70 miles/hour

                                      =\dfrac{70\times 1609.34}{3600}

                                      = 31.29 m/s

So, final kinetic energy of car is given by

k_2\ =\ \dfrac{1}{2}.m.v_2^2

        =\ \dfrac{1}{2}\times 1500\times (31.29)^2

        = 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}

=>\ k_2\ =\ 4k_1                      

Hence, the kinetic energy will increase by 4 times.

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