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Allyson W.

Future Mathematics Professor

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Pre-Algebra

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Question:

A girl scout sold 6 boxes of cookies on Monday, 7 on Tuesday, 4 on Wednesday, 8 on Thursday, and 10 on Friday. Find the average amount of boxes she sold per day.

Allyson W.

Answer:

This question is asking to find the average amount of cookies this girl scout sold over the course of the week. To find an average we want to add the total number she sold each day and divide by the total number of days. To start we want to know the total number of days. The total number of days is 5. Now we want to add the amount of boxes she sold each day. Monday = 5 Tuesday = 7 Wednesday = 4 Thursday = 8 Friday = 10 6 + 7 + 4 + 8 + 10 = 35 Now we divide the total number of cookies by the total number of days 35 / 5 = 7 So the girl scout sold an average of 7 boxes per day.

Basic Math

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Question:

Add/Subract the following fractions ( 1 / 2 ) + ( 1 / 3 ) and ( 4 / 3 ) - ( 1 / 5 ) Leave as improper fractions if needed.

Allyson W.

Answer:

The first thing to know when you are adding or subtracting fractions is that they need the same denominator, meaning they need the same bottom number. Unlike when you multiply fractions. An example of adding fractions with the same denominator, ( 2 / 3 ) + ( 5 / 3 ) = ( 7 / 3 ). Notice we only add the numerators, the top numbers, because both fractions share the same denominator, 3. So first we need ( 1 /2 ) and ( 1 / 3 ) to match denominators. To do this we want to find a number they have in common. 1 x 2 = 2 1 x 3 = 3 2 x 2 = 4 2 x 3 = 6 3 x 2 = 6 Notice here that 2 and 3 both have the number 6 in common. so we multiply both fractions' numerator and denominator by the number that gives you 6 ( 3 / 3 )( 1 /2 ) = ( 3 / 6 ) ( 2 / 2 )( 1 / 3 ) = ( 2 / 6 ). Now both fractions have the same denominator, so we can now add them together. ( 3 / 6 ) + ( 2 / 6 ) = ( 5 / 6 ) so ( 1 / 2 ) + ( 1 / 3 ) = ( 5 / 6 ). Similarly with ( 4 / 3 ) - ( 1 / 5 ). Step 1: Find the common number for the denominator 3 and 5 have 15 in common 3 x 5 = 15 5 x 3 = 15 Step 2: multiply both fractions' numerator and denominator by the number that gives you 15 ( 5 / 5 )( 4 / 3 ) = ( 20 / 15 ) ( 3 / 3 )( 1 / 5 ) = ( 3 / 15 ) Step 3: Subtract the fractions ( 20 / 15 ) - ( 3 / 15 ) = ( 17 / 15 ) so ( 4 / 3 ) - ( 1 / 5 ) = ( 17 / 15 ).

Algebra

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Question:

Given ( 1 , 2 ) and ( -5 , 3 ) write the equation of the line and leave in slope-intercept form.

Allyson W.

Answer:

We are given two points. Our first step is to solve for the slope. To find slope we need to divde the given y's by the given x's ( y_2 - y_1 ) / ( x_2 - x_1) so ( 3 - 2 ) / ( -5 - 1 ) = 1 / -6 so the slope of the line equals 1 / -6 or -1 / 6. now we use the equation of the line which is y - y_1 = m( x - x_1 ) we use one of our given x and y and our found slope so y - 2 = (-1 / 6 )( x - 1) now simplify and put into slope-intercept form y - 2 = (-1 / 6 )x + (1 / 6) add 2 to both sides y = ( -1 / 6)x + ( 4 / 6 ) y = ( -1 / 6)x + ( 2 / 3 ).

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