Math Makes Sense 8 Practice And Homework Book Answer Key
So all I would do is flip both sides of this equation right here to get this one over here.You could also think about the ratios in other ways. So we have the ratio between the number of apples, 7, and the cost of the apples, 5, is going to be equal to the ratio between another number of apples, which is now x, and the cost of that other number of apples. And so notice here in this first situation, what was unknown was the cost.We do not ask why you are unable or not willing to do it on your own once you contact us with words like “Help me do my homework.” You must have your reasons, and our main concern is that you end up getting a good grade.It does not matter to us, whether you are too busy at work, concentrating on a passion project, or simply tired of a seemingly infinite flow of assignments.
Or we could write this as 63, because 63 over 1 is the same thing as 63 newspapers per hour.If you're behind a web filter, please make sure that the domains *.and *.are unblocked. 24-- when the numerator is 24, the denominator is 40. But then they want us to write equivalent ratios where we have to fill in different blanks over here-- here in the denominator and here in the numerator. And either the numerators are going to be the same, or the denominators are going to be the same. Here, it's just incrementing by 1, but the ratios are not the same. So we're not going to be able to-- this right over here is not a legitimate table. Then when you double the distance, we double the time.We're told this table shows equivalent ratios to 24 to 40. And there's a bunch of ways that we could actually tackle this. If you compare the 3 to the 12, to go from 12 to 3, you have to divide by 4. So in the denominator, you also want to divide by 4. And then we have one more to fill in, this numerator right over here. What we want to do-- because you look at these two things. So let's see if there's any situation here. Well, if you have the same numerator, having a larger denominator will make the number smaller. Each of them runs at a constant speed starting at time 0. So really, the ratio between distance and time should be constant throughout all of these possible tables. If you triple the distance, we're tripling the time. When you triple the distance from 1, you didn't triple the time.You could say that the ratio of 9 markers to 7 markers is going to be the same as the ratio of their costs, is going to be equal to the ratio of the cost of 9 markers to the cost of 7 markers. So one again, we're going to assume that what they're asking is how many apples-- let's call that x. So we kind of had the number of apples to cost, the number of apples to cost. Well, e isn't a good idea, because e represents another number once you get to higher mathematics. Or you could say the ratio between 5 and 15 is going to be equal to the ratio between the number of eggs for 5 people-- let me do that in that blue color-- and the number of eggs for 15 people.And then, obviously, you could flip both of these sides. The ratio of 7 markers to 9 markers is the same thing as the ratio of the cost of 7 markers to the cost of 9 markers. So all of these would be valid proportions, valid equations that describe what's going on here. Now in this example, the unknown is the number of apples, so number of apples to cost, number of apples to cost. So we want to know how many eggs-- so this we'll call x. But you could call them y or z or any variable-- a, b, or c, anything. So you could say the ratio of people to eggs is constant. And obviously, you could flip both sides of this equation. You have to divide both the numerator and the denominator by the same number. Or we could write this as 63 over 1 newspapers per hour. So if you divide 189 by 3, you get 63, and if you divide 3 by 3, you're going to get 1.So this first sentence tells us that she delivers, or she takes, 3 hours to deliver 189 newspapers. So if we were to just flip it, we would have 189 newspapers for every 3 hours, which is really the same information. We're just flipping what's in the numerator and what's in the denominator. So let's divide this numerator and this denominator by 3 to simplify things. And essentially, we're going to be setting up proportions in either case.So in this first problem, we have 9 markers cost .50.