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Erica P.
Fifth Year English Teacher- Bachelor's Degree in Math and English Middle School Education
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Pre-Algebra
TutorMe
Question:

Solve the following problem using the order of operations: ( 20 ÷ 4 ) + (( 10 + 3 ) x 15) =

Erica P.
Answer:

Following order of operations means first working out problems within the parentheses, then exponents, if there are any, followed by multiplication, division, addition, and subtraction. Solving in the parentheses first: ( 20 ÷ 4 )= 5 ; ( 10 + 3 )= 13 The full equation is now: 5 + ( (13) x 15) = Next, multiply: ( (13) x 15) = 195 Finally, add: 5 + ( 195) = 200

English
TutorMe
Question:

What is a noun, and what is one part it can act as in a sentence? Write an example sentence to demonstrate your answer.

Erica P.
Answer:

A noun is a person, place, or thing. Nouns always act as the subject of a sentence. An example is the word "car" in this sentence: The car was a speedy, red convertible.

Algebra
TutorMe
Question:

Multiply the binomials using the FOIL method: ( 5X - 3 ) ( X + 2 )

Erica P.
Answer:

To answer this question, you must use the FOIL method, or (First, Outside, Inside, Last). This means to start by multiplying the first term in the first set of parentheses with the first term in the second set of parentheses: ( 5X ) ( X ) = 5X² Then, multiply the first term in the first set of parentheses with the second term in the second set of parentheses: ( 5X ) ( 2 ) = 10X Next, multiply the second term in the first set of parentheses with the first term in the second set of parentheses: ( - 3 ) ( X ) = - 3X Third, multiply the second term in the first set of parentheses with the second term in the second set of parentheses: ( - 3 ) ( 2 ) = -6 Fourth, add all of your answers together: ( 5X² ) + ( 10X ) + ( - 3X ) + ( - 6 ) Lastly, simplify by combining like terms: 5X² + 7X - 6

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