Jenna A.

Former High School Teacher

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Geometry

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Question:

A farmer is building a fence around his rectangular garden and needs to know the perimeter of the garden. One side of the garden is 10 feet long. Another side of the garden is 25 feet long. What is the perimeter of the garden?

Jenna A.

Answer:

We need to know some vocabulary to solve this problem. First, "perimeter" is the distance around all sides of a shape. Also, we need to know that a "rectangle" has 4 sides where opposite sides are equal. Let's draw a picture to help keep things straight. This will be small, I apologize! Make sure to label the side lengths. 10 ft █ 25 ft Remember! Because this is a rectangle, we know that opposite side lengths are equal, so we can label the other two sides. 10 ft 25 ft █ 25 ft 10 ft Now we can find the perimeter by adding up all the side lengths. 10 ft + 10 ft + 25 ft + 25 ft = 70 ft Perimeter = 70 ft

Pre-Algebra

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Question:

Simplify: 2/5 + 1/5 Help??

Jenna A.

Answer:

Sometimes, it is helpful to think of fractions in words. Here, we have TWO fifths and we want to add ONE fifth. We have two and want to add one. So how many "fifths" do we have? 2 fifths + 1 fifth = 3 fifths 2/5 + 1/5 = 3/5

Algebra

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Question:

Solve: 3x+5=17 How do I do this??

Jenna A.

Answer:

To "solve" this equation, our goal is to get x all alone on one side of the = sign. (x = ?) To get x alone, we need to figure out how to get rid of the 3 and the 5. The simplest way to do this is to remove the term that is farthest from x first. In this case, 5 is farther away than 3, so we will start there. To get rid of the 5, we must undo the operation by doing the opposite operation. In this equation, 5 is being ADDED. To undo it, we must SUBTRACT 5. In order to keep both sides of the equation equal, we must subtract 5 on both sides: 3x+5-5=17-5 Let's simplify. 3x+5-5=17-5 3x=12 Now we need to undo 3 TIMES x. The opposite of multiplying is dividing, so we must DIVIDE both sides of the equation by 3: 3x/3=12/3 x=4 Done! We can check our work by plugging 4 into the original equation in place of x: 3(4)+5=17 12+5=17 17=17 Correct!

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