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Answers by Katherine P.

This problem is telling you that Amy's total score needs to be above 84. We need to find a way to represent Amy's score. She's getting points from true/false and multiple choice questions, so her score is:   true/false points + multiple choice points = Amy's score   She...

You are being asked to find two variables (number of cans of popcorn and number of cans of nuts). When you have two variables, you need two equations. Let's write one for the number of cans and another for the total sales. Your Algebra teacher might call this a "system of equations."   Let...

First, I’ll show you a couple of options for checking your work.     Option 1. Translate the symbols you wrote back into words.   ~p (The temperature is not 90) v (or) ~q (The air conditioner is not working) v (or) ~r (The apartment is not hot)   You...

Probability problems are much easier to explain with diagrams and pictures, which the answer forum doesn’t permit, but here we go!   First, let’s consider how the probability of success is calculated for this word problem. You have two paths to a successful outcome Box 1 or Box...

For percentage problems, the general set up is:   (part divided by whole) times 100%   In this case, the part is 13, the number of hits. The whole is 25, the number of times she was at bat.   13/25 x 100% = 52%   Hope that helps! Please vote up...

Hi Michael,   Solving this problem requires the use of exponent rules and how to work with fractions.   First, let's take a look at the denominator: n^(3-n) We can apply our knowledge of exponent division to get: (n^3)/(n^n)   So we have 6/[(n^3)/(n^n)]...

Hi Natalie,   I see that you are posting a lot of similar problems. Here is one general formula that will help you with these sorts of economics/algebra-based problems. It's the compound interest formula.   A = P(1+r/n)^(nt)   The amount (A) is equal to...

You had a good hunch with the 30-60-90 triangle. Actually, you have a 30-60-90 triangle that is part of the unit circle! N is a point at the standard starting position of the unit circle. Remember, the unit circle has a radius of 1, and at 0 degrees you would be at (1,0).   When you...

You could start by calculating a z-score for 145   z = (145 - 132) / 9   z = 1.444   You could use a table or your graphing calculator to calculate the percentage above that z-score.   Then multiply the percentage by 862 (the number of values)...

84x^5/-7x^5 (answer)

Hi Pat,   You have a numerator of 84 x-to-the-fifths and a denominator of -7 x-to-the-fifths. The x^5 cancel, leaving 84/(-7). 84 divided by -7 is -12.    

Probability (answer)

Hi Maddie, Probability always seems a little trickier when they make up these odd scenarios. Let's start by translating the problem into probability terms:   We have: 3 independent events (each wheel is considered an event, the wheels don't interact 10 possible outcomes...

Here are two ways to do this problem. Let's use 6 people (Ms. Beckman plus 5 friends, if you use 5 your answer would end up being 10 handshakes).   Method 1: Let's model this by assigning each person a letter: a b c d e f <-- our 6 people   The handshakes would...