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Aleksandr [31]
3 years ago
9

Sophia uses 18 beads to make a necklace. Three sixths of the beads are purple. How many beads are purple?

Mathematics
1 answer:
joja [24]3 years ago
8 0

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

18(\frac{3}{6})=9\ beads

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

\frac{3}{6}=\frac{1}{2}=0.50*100=50\%

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

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If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
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Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

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

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

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                     -12x^2 +12x

                     ==========

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                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

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The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

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1

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