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Doss [256]
3 years ago
5

Suppose a movie theater you work at sells popcorn in three different sizes. A small costs $2, a medium costs $5, a large costs $

10. On your shift, you sold twice as many large containers as small ones. Write a system of equations for the situation. How many of each popcorn size did you sell?
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

\left \{ {{{s+m+l=250}} \atop {2s+5m+10l=1726 \atop {l=2s} \right.

Small popcorns: 68

Medium popcorns:: 46

Large popcorns: 136

Step-by-step explanation:

<h3>The complete exercise is: "Suppose the movie theater you work at sells popcorn in three different sizes. A small costs $2, a medium costs $5, and a large costs $10. On your shift, you sold 250 total containers of popcorn and brought in $1726. You sold twice as many large containers as small ones. How many of each popcorn size did you sell?" </h3><h3 />

Let be "s" the number of small popcorns you sold,  "m" the number of medium popcorns syou sold and "l" the number of large popcorns you sold.

Set up a system of equations:

\left \{ {{{s+m+l=250}} \atop {2s+5m+10l=1726 \atop {l=2s} \right.

 To solve it:

- Multiply the first equation by -5 and add it to the second equation:

\left \{ {{-5s-5m-5l=-1250}} \atop {2s+5m+10l=1726 \right. \\..................................\\-3s+5l=476

- Substitute the third equation  into -3s+5l=476 and solve for "s":

-3s+5(2s)=476\\\\7s=476\\\\s=68

- Substitute this value into the third equation of the system to find "l":

l=2(68)=136

- Substitute the known values into the first equation of the system  and solve for "m" in order to find its value:

68+m+136=250\\\\m=46

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Answer:

symmetric property

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with symmetric property if x=y then both values on either side of the equal sign will be equal

4 0
3 years ago
450 is 75% of what number?
nataly862011 [7]
It is 600
u could have just looked it up...
7 0
3 years ago
For any two documents x and z, define k(x; z) to equal the number of unique words that occur in both x and z (i.e., the size of
liq [111]

Answer:

Yes, the function is a kernel

Step-by-step explanation:

Given

Document x an z

Function definition! k(x:z)

We want to show that the above is a kernel.

To do this, we'll explicitly construct feature vectors φ(x) and φ(z)

This gives;

K(x,z) =φ(x)·φ(z).

Given than any document; say x and z

A vocabulary V can be constructed.

Vocabulary V must have a finite size of words in the document set..

The feature mapping is constructed as φ(x) for x by the following:

For the kth word wk in V, if wk appears in document x, assign φ(x) k(the kth element ofφ(x)) to be 1; else φ(x)k to 0.

Then the number of unique words common in x and z is φ(x)·φ(z), giving us the kernel

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7 0
3 years ago
the length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meteres, fing the dimen
Andrews [41]

Length (L): 4w + 1

width (w): w

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62 = 2(4w + 1) + 2(w)

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7 0
3 years ago
50 points
mixas84 [53]
I believe it’s b I am not sure
Step by step explanation
8 0
3 years ago
Read 2 more answers
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