Which of the following values is NOT equal to 34(58+9)? A. 34 x 67 B. 58(34+9) C. 34 x 58 + 34 x 9 D. 1,972 + 306 E. (9 + 58) 34
So, let's start by finding out the value of the original number that we want. We start by adding 58 to 9 because we have to follow the order of operations, or PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. So 58+9=67. Wait hold on, before we go and finish multiplying this out, we have 34(67) and answer A is 37 x 67. Which are the same thing, only with different notation. So, since we have the same numbers, with the same operation, our answer is A.
What is wrong with the following sentence? She didn't plan to become an actress. She wanted to be six feet tall. She wanted to be a veterinarian. She wanted to be happy and make others happy. A. fragment B. run on C. comma splice D. choppy E. correct
The correct answer is D. choppy, because when you read this sentence, there is no natural flow the sentences. The pauses that are caused by the periods create unnatural pauses that should never take place in real conversation. Imagine if we talked like this sentence is written. It would be like a robot speaking. If you say it aloud doesn't it just hurt the your ears? The best way to stop these are to say them aloud, and if you feel like there should not of been a pause, then you need to change the structure of your sentences, and even combine them together. See how every sentence starts with the word she, if you see this happening in your writing that should be a red flag that you can combine sentences and that you need to come up with some more complex sentence starters.
Simplify the following equation. (a b^2)(a^3 b) / (a^2 b^3)
So, the question is asking us to simplify this down. Let's start by breaking this into two parts, the top half, (a b^2)(a^3 b), and the bottom half, (a^2 b^3). Now if we look at the bottom half we can see, there is nothing left to simplify. But when we look at the top half we can combine some like terms. When you multiply two variables together, you add the exponents together. So, we have two a terms, a, which is the same as a^1, and a^3. So we add the exponents together, 1+3=4. so we have a^3, and we do the same thing for b. b^2 and b, which is again equal to b^1, so 2+1+3, so we know have, a^4, and b^3. Now we put them both back together to get (a^4 b^3)/(a^2 b^3). Now when we divide variables, in terms of simplification, it is like we are subtracting the exponents from each other. a^4/a^2 is the same as 4-2=2, and b^3/b^3 is the same as 3-3 = 0. Now when we have an exponent that is 0, no matter what the number, it becomes 1. so we now have a^2*1, which is equal to a^2 which is our answer.