Tutor profile: Ashley G.
The sum of three consecutive integers is 57. What are the numbers?
Read the word problem and let's define what consecutive integer means. For example Monday, Tuesday, Thursday are consecutive weekdays. Tuesday Friday, Thursday are non-consecutive. As well as January, February, March is consecutive and July, October, June are non-consecutive. What do you notice about these examples? We notice that consecutive weekdays are in order and non-consecutive weekdays are not in order. And it's the same for the months. So, What do you think consecutive integers are? Consecutive integers follow each other in order, for example, 12, 13, 14, 15 from smallest to greatest. 12, 14, 16 are consecutive even numbers, and 13, 15, 17 are consecutive odd numbers. Now that we know what is a consecutive integer, let's return to our problem. So we know there are three unknown integers that are consecutive (follow each other in order) and the sum of these integers is 57. We can solve this by creating a model and show three consecutive integers in the model. First, we write the problem statement. The three integers are ____, ____, and ____. Integer 1 is X Integer 2 is X+1 (it's the first integer plus one) Integer 3 is X+1+1 (its the second number plus one) The sum of the three consecutive integers = 57 We know all three numbers have the same base and the difference is three. We need to figure out the base number in order to solve the problem. 1+1+1=3 So, we deduct it from the total 57-3=54. Now we know that three bases integers (Xs) = 54 than one X = 18 (54/3 =18). Integer 1 is X =18 Integer 2 is X+1 (it's the first integer plus one) 18+1=19 Integer 3 is X+1+1 (its the second number plus one) 18+1+1=20 Let's write this in our statement. The three integers are 18, 19, and 20. How will we write the algebraic expression for this problem? Here is what I have 3x + 3 = 57 Now it's easy to understand what each number represents in this expression. Solve: 3x + 3 = 57 3x + 3 = 57 (isolate the variable) - 3 = - 3 ---- = ----- 3x/3 = 54/3 x = 18
Subject: Basic Math
How do I convert decimal to percent?
Changing a decimal to percent may be difficult to understand, but all you have to remember is to multiply the decimal by 100. For example, convert 0.8 to percent will be 80%, because when you multiply by 100 you move the decimal point two spaces.
Subject: English as a Second Language
What can I do to accelerate the process of English learning?
While there is no shortcut to learning a new language, my suggestion will be to maintain your native language and read, and listen to audiobooks in English. This will help with pronunciation, increase vocabulary which is essential in any language learning. Often times we step back from our own native language to immerse ourselves fully in the new language that we are learning. This is a big mistake since it's been proven that proficiency in our native language can be a key to gaining proficiency and understanding in another language. In order to master English or any language, we can compare and contrast two languages and transfer some of the knowledge that is helpful to the new adoptive language.
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