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OverLord2011 [107]
3 years ago
9

Suppose a florist is creating a bouquet with 3 different types of flowers and 3 different types of greenery. If there are 7 type

s of flowers in the shop and 6 types of greenery to choose from, how many ways can the florist design the bouquet?
Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
Florist has to choose 3 types of flowers from 7 types of flowers so the combination is C(7,3)
and chooses 3 types of greenery from 6 types of greenery so the combination is C(6,3)
Formula for combination is:
C(n,r) = n! / r!(n-r)
C(7,3) = 7! / 3! (7-3)!
=7 x 6 x5 x4 x3 x 2/ 3 x2 (4x3x2)
=5040 / 144
= 35
Now for greenery, C(6,3) = 6! / 3! (6-3)!
= 6x5x4x3x2 / 3x2(3x2)
=720/36 = 20
So, there are 35 combinations for flowers and 20 combinations for greenery,
total combination = 35 x 20 =700
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Steve said it does not matter which term is first and which term is second in a ratio, since ratios are different than fractions
marishachu [46]

Ratio is a comparison of two values or two quantities.

Fraction is a another form of ratio.

The first term and the second term in the ratios are important.

It should not be changed.

The first quantity value is in first term and the second quantity value is in second term of the ratio.

Ratio and fractions are same.

Example:

The ratio of male to female in the school is 5 : 6.

5 represents male students and 6 represents female students.

The fraction form of the above ratio is \frac{5}{6} .

8 0
3 years ago
1. Let C be between D and E. Use the Segment addition Postulate to solve for v.
AURORKA [14]

By applying the segment addition postulate, the <u>value of v = 7</u>

  • According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:

DC + CE = DE

  • Given that:

DC = 2v-15\\\\CE = 3v-8\\\\DE = 27

  • Therefore, by substitution, we will have the following equation:

(2v-15) + (3v-8) = 27

  • Open the bracket and solve for the value of v.

2v-15 + 3v-8 = 27

  • Add like terms

5v - 23 = 27

  • Add 23 to both sides

5v - 23+ 23 = 27 + 23\\\\5v = 50

  • Divide both sides by 5

v = 10

Therefore, using the segment addition postulate, the <u>value of v = 10</u>

Learn more about the segment addition postulate here:

brainly.com/question/1721582

7 0
2 years ago
Which choice is equivalent to the expression below?
alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Let's check the options:

A. For 5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}} you can  apply the property mentioned before. Then:

5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}

(It is the equivalent expression)

 B. Add the exponents:

 5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}

(It is not the equivalent expression)

C. For 5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}} you can  apply the property mentioned before. Then:

 5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}

(It is not the equivalent expression)

D. We know that 5^{9.969}=9,290,347.808 and we maje the addition indicated in this option, we get:

 5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37

(It is not the equivalent expression)

6 0
3 years ago
Read 2 more answers
Factor <br> (a-2b) (3x-5y) + (2b-a)(x-y)
agasfer [191]

Answer:

8by + 2ax - 4bx - 4ay

Step-by-step explanation:

I assume you mean expand so:

(a - 2b)(3x - 5y) + (2b - a)(x - y)

3ax - 5ay - 6bx + 10by + 2bx - 2by - ax + ay

Now collect like terms:

2ax - 4ay - 4bx + 8by

This is your answer but in a better order:

8by + 2ax - 4bx - 4ay

6 0
2 years ago
What’s the answer to this question
Diano4ka-milaya [45]

Answer:

30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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