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Serjik [45]
3 years ago
10

A certain jewelry store sells customized rings in which three gemstones selected by the customer are set in a straight row along

the band of the ring. if exactly 5 different types of gemstones are available, and if at least two of the gemstones in any given ring must be different, how many different rings are possible?
Mathematics
1 answer:
kotykmax [81]3 years ago
3 0
Let's assume the gemstones are A, B, C, D, E

1. A, B
2. A, C
3. A, D
4. A, E
5. B, C
6. B, D
7. B, E
8. C, D
9. C, E
10. D, E

A: 10 different rings are possible.

Hope this helps. - M
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Someone please help me on this.
Naddik [55]

Answer:

36n^2+12n+1

Step-by-step explanation:

Foil the equation!

1. You see that is to the second power so it means this (6n+1)*(6n+1)

2. Then you use the Foil method. First, Outside, Inside, and Last.

3. Combined like terms

4. Answer!

A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)

1. Multiply the first number by itself = 6n *6n = 36n^2

2. Add the first number by itself = 6n+6n = 12n

3. Multiply the last number by itself = 1*1 =1

4. Combined to form your answer = 36n^2+12n+1

NOTE: This is the same thing as a foil but it uses mental math so it takes less time!

8 0
2 years ago
I do not remember how to do this please help!
Temka [501]
I think it is self explanatory. Good luck! And remember you can always use long division if you don’t prefer synthetic division. Just rewrite the coefficients in the proper equation. :)

4 0
4 years ago
Find the value of x. Simplify in simplest radical form.
posledela

Answer:

x is 13.03

Step-by-step explanation:

Start by determining the length of the horizontal side of one of the triangles shown.  The Pythagorean Theorem applies here:

(horizontal side)² + 17² = 19², so that:

(horizontal side)² + 17² = 19² - 17², or 72

Then the length of the horizontal side is +√72, or √36√2, or 6√2.

From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):

x = 31 - 2(6√2) = 13.03

x is 13.03

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Nat2105 [25]

Answer:

The answer should be C....

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