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Campbell University

Harvey Mudd College

Baylor University

00:55

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

0:00

Kyle I.

Using Models Use the model given to answer the questions about the object or process being modeled. The distance $d$ (in mi) driven by a car traveling at a speed of $v$ miles per hour for $t$ hours is given by $$d=v t$$ If the car is driven at 70 milh for 3.5 $\mathrm{h}$ , how far has it traveled?

00:50

Making Models : Write an algebraic formula that models the given quantity. 14. The average $A$ of two numbers $a$ and $b$

00:52

Amy J.

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$ __________ legs.

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So in this problem, being asked to find the cushion. So our problem is negative. 25.38 divided by negative 0.2 So we're going to divide just like we normally would. Now, if you could do this off top of your head, great. But chances are you might need to do long division. So off to the side. I'm going to set up my long division box. So remember, our first number goes inside, but in this case, we're not gonna worry about the negatives. We're just gonna divide the absolute values of these. So we're gonna have a 25 0.38 and our second number goes on the outside. So we had 0.2 Now, remember, when doing all division, we don't want this number on the outside to be a decimal. So what we need to dio is move that decimal 0.12 places to the right, which means we also need to move the decimal point for the inside number two places to the right. So when we do that, are outside number is essentially just to and the number inside our division box is 2538 and sometimes inside, you might be left with a decimal, and that's okay. But the key is the outside cannot be a decimal. So now we can go ahead and divide just like normal. So we start by how many times does to go into to what goes in one time One times two is too. And then we subtract well to minus two is zero. Then we bring down the five. Let me write that a little bit, either for us there, we're gonna bring down the side. There we go. So now two goes into 52 times, two times two is four. And again we subtract. Five minus four is one, and then we're going to Sorry. Course I got away from me here. And then next we're going to bring down the three. Well, two goes into 13, 6 times, six times to his 12 and 13. Minus 12 is one. Then we'll bring down the eight one go. Sorry to goes into 18 9 times and nine times to his 18. Well, 18 minus 18 is zero, so there is no remainder. So what we found is that 25.38 divided by 0.2 is 1269. Now we have to consider the sign for our answer. Well, we're dividing two numbers with the same sign, the both negative, which means the result will be positive, so our final answer will be 1269.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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