Also can anyone help with these problems too?

suppose Tomas buys a total of 30 baseball and football cards in week 5 . how many of each would he have to buy to keep the same

Charra [1.4K]

Answer:

18 baseball cards
12 football cards

Step-by-step explanation:

The only relationship shown in the table is in week 1, where the ratio of baseball to football cards is ...

baseball : football = 9 : 6

In week 1, the total of these numbers is 15. You want the total in week 5 to be 30, double the total in week 1. So, Thomas needs to purchase double the numbers he purchased in week 1:

18 baseball cards
12 football cards

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<em>Comment on the attachment</em>

This table came from another question you posted, a question with no content other than the table. The blue numbers are blanks in the original table that have been filled in so as to keep the same 3:2 proportion in each week. They appear to have no bearing on this question.

7 0

3 years ago

How would I do the last question if the equation of the graph has been given? Could you please explain the last problem step by

kicyunya [14]

<h3>Answer: 140625 </h3>

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Explanation:

Replace every copy of "w" with "x"

So the function we graph is y = (1500-2x)*x/2

I used GeoGebra to make the graph below. Note the scale on the xy axis. In this case, x is incrementing by 100 while y is incrementing by 50,000. The scale is important so you have a good viewing window. You don't have to have this scale exactly, but something close to it should do the trick. Without the proper scale, you probably won't see the curve at all. You may see a straight line instead, or it may appear completely blank.

You can use Desmos to make the graph. Just keep in mind the scale of course.

Once you have the graph set up, use the max feature of your graphing calculator or graphing software to locate the vertex point. In GeoGebra, the function I used is "Max". I typed in Max(f, 0, 800) where f is the function mentioned earlier. With Desmos, you simply need to click on the curve itself to have the max point show up. Click on the vertex point to have the coordinates listed.

The max point is located at A = (375, 140625) as shown in the diagram below. The x coordinate is the value of "w" that we replaced earlier. So a width of w = 375 feet corresponds to the max area of 140625 square feet.

Side note: later on in your math career, you have the option to use calculus to solve a problem like this. Though for now, we can rely on a graphing calculator to get the job done quickly.