Answer:
Step-by-step explanation:
The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.
Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.
Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.
Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.
Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.
Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.
Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways
Answer:
43/12
Step-by-step explanation:
First we must find a common denominator for all 3 fractions, 1/2 cup, 2 1/3 cup, and 3/4 cup all share 12 as a common denominator.
However, let's convert 2 1/3 cup into an improper fraction: there are 2 (3/3 cups) here multiply (3/3) and (2/1) you get 6/3. Finally, add the remaining 1/3 to 6/3 and you get 7/3.
Now, to get all these fractions to have the same common denominator.
(1/2) ×(6/6)=(6/12)
(7/3)×(4/4)=(28/12)
(3/4)×(3/3)=(9/12)
Add them all together and your answer is: (43/12)
Answer: 11x - xy - 6
Step-by-step explanation:
(5x+6xy-4)-(-6x+7xy+2)
5x + 6xy - 4 + 6x - 7xy -2
11x - xy - 6
Answer:
I think it's 7=2x+3
Step-by-step explanation:
The diagram shows a balanced set of 2 sides, meaning that both sides equal each other. I assume you don't know what x is, so the simplest you can do to combine all three parts of the left side of the diagram is 2x+3, which of course equals 7, the right side.
I'm not the best at explaining, but I hope that helps.
Answer:
4x+24 ft.
Step-by-step explanation:
Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.
Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.
Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.
