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Vika [28.1K]
3 years ago
9

They are offering a selection from 5 appetizers, 6 entrees, and 3 desserts. How many combinations of 1 of each are possible?

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

90

Step-by-step explanation:

By Fundamental Counting Principle, there are 5*6*3 = 90 combinations possible.

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3 years ago
Factorise 6x²-14x-12​
maksim [4K]

Answer:

2(x - 3)(3x + 2)

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

= (x - 3)(3x + 2)

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

8 0
3 years ago
Xavier is celebrating his birthday at his favorite pizza place the all-you-can-eat meal cost $10 per adult and $8 per child he w
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Answer:

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Step-by-step explanation:


5 0
3 years ago
2/5;0.5 tell whether each pair shows equivalent number
Georgia [21]
2/5= 40%, so no, they are not equivalent numbers,<span />
4 0
3 years ago
There are 8 knives and 12 forks in a package of plastic utensils. Which ratio is equivelent to 8/12?
djyliett [7]

Answer:

\frac{2}{3}

Step-by-step explanation:

If you divide \frac{8}{12} by 4 (both numerator and denominator)

You get \frac{2}{3} which is equivalent to the given ration

5 0
3 years ago
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