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nordsb [41]
3 years ago
10

How could you model five students sharing four bags of popcorn equally how much will each student get

Mathematics
1 answer:
shutvik [7]3 years ago
8 0
20 bags of popcorn they were sharing
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I'm solving systems and I don't understand how to do it pls helpp
kaheart [24]

Answer:

Use the process of elimination. I'll only do one example since you have 4.

Step-by-step explanation:

Let's do the first question.

2x-3y=-11

2x+y=9

Our goal here is to be left with one variable to solve, this way we can use the answer for that variable to find the other. A.K.A only find X to plug into the equation to find Y. To do this, we'll use the process of elimination, in which we need to cancel out a variable.

X seems the easiest here. To cancel 2 (in the top equation), you need to have a -2. And that -2 needs to be the x coefficient in the 2nd equation, in order for us to "cancel" it out. To get -2, you multiply 2 by -1.

-1(2x+y)= -1(9)

Note that whatever you do to one side, you need to do it to both sides! Hence, why I also multiplied 9 by -1. You should now be left with:

-2x -y = -9

Now, we cancel out the positive 2 and -2 from both equations by adding the two equations.

2x-3y= 11

+

-2x-y=-9

X cancels out, so we're left with -4y=-20. Solve for Y, which is 5.

-4y=-20

y=5

Now that you have the Y value, plug it into any of the two equations to find your X value.

2x-3y=11

2x-3(5)=11

2x-15=11

2x=26

x=13

And voilah! Our Y value is 5, and our X value is 13.

It's pretty simple once you understand what's going on. All that we did was to cancel out one variable (either X or Y) in the two equations so that we're left with only one variable to solve. If we cancel out X, we only need to solve for Y. You do this by manipulating one of the two equations (doesn't matter which one). Once you find either X or Y, all you need to is to plug it into one of the original equations. Then, you'll have both X and Y.

And that my friend, is the process of elimination. Good luck!

8 0
3 years ago
Read 2 more answers
An arithmetic sequence has this recursive formula:
horsena [70]

Answer:

\text{\bf{C.}}\quad a_n=4+(n-1)(-7)

Step-by-step explanation:

An arithmetic sequence that is described by the explicit formula ...

  a_n=a_1+(n-1)d

can also be described by the recursive formula ...

  \left \{\begin{array}{l}a_1=\text{(first term)}&a_n=a_{n-1}+d&\end{array}\right.

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

a_n=4+(n-1)(-7)

4 0
3 years ago
What is 42÷(15-2 by the power of 3<br><img src="https://tex.z-dn.net/?f=42%20%5Cdiv%2815%20-%202%20%7B%7D%5E%7B3%7D%20%29" id="T
tigry1 [53]
Answer: 6

Explanation: first you have to get rid of the 2 power of 3, 2 x 2 x 2 is 8. Then 15-8=7. Then 42➗7 is 6
4 0
4 years ago
Is 14/35 and 21/42 proportional
PIT_PIT [208]
1.Simplified each one 
2/5 (both divided by 7) ,  1/2 (divided by 21)
2.Make them into integer
(2/5 )*(2/2)=4/10    ,    (1/2)*(5/5)=5/10
Now the dominators are the same ,you can just compare the numerators. It is 4:5
8 0
3 years ago
Whoever has the best answer gets the brainliest answer!:)
Korvikt [17]
Since the length is 10 in. You must multiply it by \frac{1}{5} and then multiply by \frac{1}{2}. The reason for this is because if you divide ten by 5 it will be 2, then if you divide 2 by 2 it will be 1.
4 0
3 years ago
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