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Sergio C.

Senior Mechanical Engineering Student at Drexel University

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Basic Math

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Question:

Billy got $50 from his mom as his weekly allowance. He went to the candy store and bought $7 worth of candy. How much money does Billy have left?

Sergio C.

Answer:

Since Billy spent money, this will be a subtraction problem. It is stated that Billy originally had $58 which will be your first number. Since Billy spent $7 on candy, this will be your second number that is being subtracted from $58. The problem looks like: 58 - 7 ---- First, the ones column is looked at where 8 - 7 = 1. Next the second column is looked at where 5 - nothing = 5. Bringing both number down gives us an answer of: 58 - 7 ----- 51 Check: Add the answer (51) to the number being subtracted (in this case 7) to see if we get the first number (58). 51 + 7 = 58 58 = 58 correct!

Mechanical Engineering

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Question:

A roller coaster is moving with a speed of 19.7 m/s. The total weight of the roller coaster is 640 kg. Determine the kinetic energy of the roller coaster.

Sergio C.

Answer:

For this problem, we use the law of conservation of mechanical energy where it states that: KE = (0.5) * mass * (velocity)^2 where mass is in (kg) and velocity is in (m/s) inits. Therefore based on the problem, we have: KE = (0.5) * (640 kg) * (19.7 m/s)^2 KE = 124,189 Joules or 124.189 Kilojoules

Algebra

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Question:

The sum of two number is 67. One of the numbers is 9 more than the other. What are the two numbers?

Sergio C.

Answer:

The problem is asking to find two numbers. Therefore, we let x be one of them. In this case, x will be the first number in which we will solve for in order to find the second. It is stated that the other number is 9 more than x, or (x + 9). The problem also states that the sum of the two numbers is 67. Therefore, we will have: x + (x + 9) = 67 Add/subtract like terms where x + x will equal 2x and 9 will be subtracted from 67 to equal 58. We should get: 2x = 58 Now divide by 2 and x will be equal to 29. This is your first number. Recall that the second number is equal to 9 more than the first number, or (x + 9). If x is equal to 29, then: (29 + 9) = 38. The answer for this problem is the first number is 29 and the second number is 38. Check: 29 + (29 + 9) = 29 + 38 = 67 Correct!

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