"Optimal" size here would be the most ideal size group, or the size of group that allows them to catch the most prey.   So, let's reason on the table here. You can catch 40kg of meat alone, but with a friend, you guys catch 3 times as much, 120kg! That's awesome! With another...

If something is marked down, is that an increase or a decrease in price? Once you've figured out the answer to that question, maybe the following two examples will help you figure out the sales price of this suit.   Ex (increase, such as taxes or price hike): I want to increase...

What's the probability of rolling a four? P(4) = 1/6 What's the probability of rolling anything else? P(1, 2, 3, 5, or 6) = 5/6   What's the probability of rolling a four 6 times? (1/6)^6*(5/6)^0*C(6,6) What's the probability of rolling a four 5 times? (1/6)^5*(5/6)^1*C(6,5) What's...

So, on each occasion, it looks like Smoe had a different number of dog-walking sessions.   Let's try reasoning by using guess-and-check. Do you think each dog-walking session could have cost \$1? That means when he made \$48, he had 48 sessions. He had a whopping 112 sessions when he...

Equations of the form y=kx (examples: y=2x, y=15.9x, y=-.01x) are called linear equations because if you were to graph them on an xy-coordinate plane, they would be lines.    Lines go upward at a constant rate. They don't suddenly swoop up or curve down or do loopdy-loops, but...

This requires knowledge of the present tense conjugations of the verb "ser."   Perhaps these conjugations could be found in your son's textbook, if he has one. If not:   I: soy You (singular/familiar): eres Third person singular or You (formal): es We:...

Hi Winston!   For a problem like these, your textbook probably gives you a formula.    p = x[1 - (1+r)^-n]/r   where p is the principal (in this case 15 grand), x is the monthly payment Victor's making (400 or 600), and n is the number of months he's...

I love combinatorics problems! I like to think of these problems as "slots" you have to fill with "marbles" you can pull out of a bag. In this case, you have three "slots": first place, second place, and third place. Since there are eight horses competing,...

Hey Manan! This looks like an interesting combinatorics problem, but I don't know if the problem is correctly worded. It's a bit hard to understand. Could you verify that you've written out your question correctly?

Let's say the angle is x. Then it's supplement would be equal to 180-x.   So let's take it phrase by phrase.   "The measure of an angle is ..." translates algebraically into "x = ".   So moving onto the next part of the sentence, we...

Here's one way of solving this problem: Plant 1 has 28 cars, x of which will be sent to dealership A, and the rest, 28-x, will be sent to dealership B. Transportation cost for Plant 1 to Dealerships A and B will be 220(x) + 300(28-x) Plant 2 has 8 cars, y of which will be sent...

1. s + 4t = r, solve for s Your goal is to get s = something, so isolate the s! Right now, your s is followed by "+ 4t." To get s by itself, you want to get rid of 4t from the left-hand-side of your equation. To that end, subtract 4t from each side of the equation...

You take the same approach as with simplifying other rational expressions like... fractions!  Simplifying 15/6 is a no-brainer for most algebra students. One method is to break up both the numerator and denominator into factors. --> (3*5)/(2*3) Obviously, you would cancel...