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konstantin123 [22]
3 years ago
9

in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche

s are possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink?
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

×

2

=

72


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Answer:

  1. 8pq-3pq= 5pq
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Step-by-step explanation:

  1. The first equation shows two terms can be combine as follow: 8pq-3pq= (8-3)pq by applying common factoring. Then, because 8-3=5, it can be expressed as 5pq.
  2. In the second equation, we have only two terms that can be factored by combining the terms that share the same factor (which is m). Then, 2m-3m+4 can be expressed like m(2-3)+4. Because (2-3)=-1 and because the order of the sum does not affect the result, the result is 4-m.
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Using the graph below, what would the input (x-value) need to be for an output (y value) of 1?
sergij07 [2.7K]

Answer:

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Step-by-step explanation:

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A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t
Hoochie [10]
Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
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See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
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Now sub this value back into an equation:
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Double check these values
(7x15.75) + (9x13.75)
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Answer:

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subtract -41-6

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312z-47>12

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