Tutor profile: Kaitlyn R.
When is it appropriate to use commas in compound sentences?
Generally, commas are always used when separating two independent clauses. The comma precedes a coordinating conjunction and goes after the first independent clause. For example, a comma is necessary in the following sentence: Today I went to the grocery store, and then I came home and made dinner. A comma is not necessary in the following sentence: Today I went to the grocery store and then made dinner.
A bag contains green and yellow marbles. Given that 17/20 of the marbles are green, what percent of the marbles are yellow?
There are two strategies one might use to find the solution to this question. First, you might find the fraction of marbles that are blue (subtract 17/20 from 20/20 or one whole) and then convert this fraction to a percentage. Alternatively, you could convert 17/20 green marbles to a percentage (by multiplying by a "version of one" - 5/5 in this case - to make your fraction's denominator 100 and therefore a percentage), and then subtract this percentage of green marbles from the total 100% to find the remaining percentage of yellow marbles. 20/20 - 17/20 = 3/20 3/20 * 5/5 = 15/100 or 15% of the marbles are yellow or 17/20 * 5/5 = 85/100 or 85% 100% - 85% = 15% of the marbles are yellow
Subject: Basic Math
There are 149 people attending a dinner party. If each table can seat 7 people, how many tables are needed for the dinner party?
If 149 people need to be seated, and each table can seat 7 people, the following steps need to be taken to find the solution: First, divide 149 by 7 using either: 1- the long division algorithm (aligning place values and solving step by step), or 2- by taking groups of your divisor out of your dividend until you are left with a quotient and remainder (10 groups of 7 is 70, another 10 groups of 70 is 140, another group of 7 makes 147, with 2 left over -- equaling a total of 21 groups with a remainder of 2). Second, use context to interpret the remainder. Since there will be 2 people left without a place to sit, an additional table is required making our solution 22 tables.
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