Tutor profile: Gina B.
Subject: Applied Mathematics
Let's use applied mathematics to find out some more information about a particular train. A train of 10 cars is loaded with car wheels each weighing 20 pounds. What is the total weight of all of the wheels if there are 30 wheels on each car?
Let's start by finding out how much the wheels on each individual car would weigh. If each car has 30 wheels, and each wheel weighs 20 pounds, we would start by multiplying 20 x 30, which gives us 600 pounds. So we know each car has a wheel weight of 600 pounds. We also know there are a total of 10 cars. So now we just need to multiply the weight of the wheels, by the amount of cars (600 x 10) which equals a total of 6,000 pounds.
Subject: Basic Math
Let's try a word problem. Sam has $800 in his checking account. He receives a check from work for $120.60 and deposits it into his checking account. What is the new balance in Sam's checking account?
Because Sam is depositing (adding) money into his checking account, we will need to perform some simple addition. $800 + $120.60. When this addition is performed, we come out with Sam now having $920.60 in his checking account.
5x + 3 = 7x - 1 Find x.
The idea in finding x is to get the x all by itself on one side. In order to do this, you must perform equal operations on both sides. We can start by moving the 1 over to the left side. To do this, we would add 1 to both sides. This would remove the 1 from the right side, and make the 3 a 4 on the left side (3+1=4). Now we have 5x + 4 = 7x. In order to get the x on one side, we would then need to subtract the 5x on both sides leaving us with 4 = 2x. Now to get the x alone, we have to divide by 2 on both sides, which leaves us with 2 = x and we have our answer! We can check our answer by plugging in 2 for x. 5(2) + 3 = 7(2) - 1. So we have 13 = 13, which confirms that x does in fact equal 2!
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