Maria went to her favorite bakery today to buy churros. The sign says "2 churros for $3". If Maria bought 15 churros, how much money did she spend?
For this problem, the easiest way to solve it is to use proportions. When solving problems like this, it is very important to remember when you set the proportion up, the units MUST match. For example, if you put the cost over the number of churros, then you must continue to do so for the next fraction. If the units do not match, then your answer will be incorrect, unless you get lucky. So lets begin to set this up. 2/$3 = 15/$x. We are trying to find the cost, so we will call that $x. When doing proportions, you will cross multiply. So you will multiply 2(x) giving you 2x and 15($3) giving you 45. Now you have 2x=45. You want to isolate the variable to get your answer and to do that, you will divide 2 on both sides. When you divide 45 by 2, your answer is $22.5. Normally for word problems, it's a good habit to write out a full sentence. Don't forget about that! Some teachers are very picky.
2/3 + 1/12 = ?
When adding and subtracting fractions, the first thing you want to look at is the denominator. In order to add and subtract fractions, the denominators must be the same number. In this example, the denominators are not the same numbers, so you will need to do some multiplying to convert 2/3 to get 12 on the bottom. So you know that 3x4 will give you 12, so you will multiple 2/3 top and bottom by 4. After multiplying you will get 8/12 + 1/12, which will give you 9/12. If the question asks to simplify, then don't forget to simplify. However, if the question does not specify further, then leaving the answer at 9/12 should be fine, unless other directed by your teacher.
Find the distance between the points (-4 , -5) and (-1 , -1).
First, understand what the question is asking. The question asks to find the distance, meaning they want you to find the slope. Slope is rise over run or in other words Y2-Y1 divided by X2-X1. Coordinate points are (x,y), so lets go ahead and label (-4,-5) as (x1,x2) and (-1,-1) as (x2,y2). After we do that we get -1-(-5) divided by -1-(-4), which will give us -1+5 over -1+4. We get that answer because negative times negative gives us positive. Then we proceed to adding the numbers and we get 4/3.