Alexandria M.

Penn State Dean's List Undergrad

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Pre-Algebra

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Question:

6 - (5 - 3) + 10

Alexandria M.

Answer:

To figure out this problem, we must remember PEMDAS. P = Parenthesis, so we must do what is inside of the parenthesis first. 5 - 3 = 2. This will get rid of the parenthesis, so we are left with 6 - 2 + 10. There are no Exponents, which is (E) and there is no Multiplication (M) or Division (D), so we are left with Addition (A) and Subtraction (S). Since Addition and Subtraction can be treated the same, it does not matter if you subtract or add the numbers first. You will be left with the number 14. Therefore, your answer is 14.

Basic Math

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Question:

All of the following are ways to write 33 percent of Q, except which one? 1) 33Q / 100 2) 1/3 Q 3) 33 Q 4) .33 Q

Alexandria M.

Answer:

We know that 33 percent of Q can either be written as .33 or 33 / 100 since it is a percent. In 1) we are able to see that 33 / 100 does represent 33%, so it can be marked off since we are looking for the answer that does NOT equal 33 percent. In 2) we can divide 1 by 3, which equals .33 repeating. This is 33 percent of Q because it is in decimal form as .33. In 3) 33Q is not divided by 100, which does NOT make it 33%. It is also not written as a decimal, which also does NOT make it 33%. Therefore, we know that #3 is our answer. To check to make sure our answer is right, we can see that in 4) .33Q is written as a decimal, making it 33%. Therefore, we know that our answer choice, #3, is the answer.

Algebra

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Question:

Solve for c. -16 ≥ 8(c + 4)

Alexandria M.

Answer:

To begin, you must distribute the 8 to both c and 4. You should get -16 ≥ 8c + 32. Next, you want to get the variable alone on one side. You will subtract 32 from both sides so 8c is alone on the right side. You should get -48 ≥ 8c. The goal is to isolate the variable, so you must divide by 8 into both sides. So, you will divide by 8 into both sides, leaving you with -6 ≥ c. Since you want the c on the right side of the equation, you will rewrite the inequality so that c is on the left. This should look like c ≤ -6. Therefore, your final answer is c ≤ -6.

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