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dedylja [7]
3 years ago
10

At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 c

hoices of sandwich, 4 choices of salad, and 3 choices of soup. How many possible lunch special combinations can be ordered?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer: 35

Step-by-step explanation:

Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.

The number of choices for sandwiches = 5

The number of choices for salad = 4

The number of choices for soup = 3

Now, the number of  possible lunch special combinations can be ordered will be :-

5\times4+5\times3=20+15=35

Hence, the number of  possible lunch special combinations can be ordered will be 35.

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The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

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The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

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Answer

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x - 6 = 0

x = 6

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========================

What about the other set.

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x and x + 2

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(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


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3 years ago
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