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Melissa C.

Math Tutor

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Pre-Algebra

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Question:

The 6th grade students at Wildcat Middle School were on a field trip. There were 566 students in total on the field trip. There were a total of 10 buses. If there were 6 students traveling in a car, how many students were on each bus?

Melissa C.

Answer:

The first step is to determine what the question is asking us to find. From the question, we need to find how many students were on each of the buses. The next step is to determine how many students were on buses. From the question there are a total of 566 students, however 6 students are traveling in a car. We can subtract the 6 students to determine how many students in total are on the buses. 566-6 = 560 Students The next step is to determine how many buses there are. The equation states there are 10 buses in total. To find the total number of students per bus, we need to divide 560 by 10. 560/10 = 56 The total number of students per bus is 56.

Basic Math

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Question:

John has a box of fruit loops for breakfast. The cereal box is 10 inches wide and 24 inches tall. Find the area of John's box of fruit loops.

Melissa C.

Answer:

The first step we need to take is to determine what is being asked for us to find. From reading the question, the question is asking us to find the area of John's cereal box. The next step is to determine what shape the cereal box is. This will help us to determine the equation we need to use in order to find the area. The shape of the cereal box is a rectangle. Since the cereal box is a rectangle, the equation we need to use is A = lw OR Area = length x width. Now that we have the equation, we need to plug in the numbers to the correct letter. From the question, we can determine the length is 24 inches and width is 10 inches. Area = 24 x 10 The last step is to solve for the area. Area = 240 The area of the cereal box is 240 inches.

Algebra

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Question:

Solve the following equation: 2(3x-7) + 4(3x+2) = 6(5x+9) + 3

Melissa C.

Answer:

The first step that needs to be taken is to simplify the equation in two steps. Step 1: Multiply 6x - 14 +12x +8 = 30x +54 +3 Step 2: Add/Subtract Each Side 18x -6 = 30x + 57 The next step is to group like terms. X's on one side of the equal sign and plain numbers on the other side. Step 3: Group Like Terms -12x = 63 In order solve for X, we need to get X by itself. We need to divide -12 from each side. Step 4: Divide x = -(63/12) If the numbers are relatively large, like 63 and 12, we look to see if we can simplify the number one more time. The common dividable number for 63 and 12 is 3. We now have to divide 3 out of each number separately. Step 5: Simplify/Solve for X x = -(21/4) The final answer for x is -(21/4)

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