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Minchanka [31]
3 years ago
5

10 have volunteered to help with the preparations for a party. How many ways can Susan assign someone to buy​ beverages, someone

to arrange for​ food, and someone to send the​ invitations? Assume that no person does two jobs.
Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer:

The answer is 720 ways.

Step-by-step explanation:

Total friends who volunteered = 10

Total number of jobs that have to be done = 3

Here order matters, so it is a permutation question.

We can use the formula nPr.

= \frac{10!}{7!}

= 720 ways.

The second way to solve this is:

Susan can choose the first person to do a job in 10 ways

Then the second job can be done in 9 ways and the third in 8 ways.

Total becomes = 10\times9\times8=720 ways

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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
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7)?
anzhelika [568]

Step-by-step explanation:

When the number is inside the parenthesis. It means horizontal shift. Now negative is to the right and positive is to the left. Since it is negative 7 it would be 7 units to the right

any more help just ask :)

3 0
2 years ago
Read 2 more answers
26 = 3x - 2 - 7x show york work but please try to summarize you're explanation
Delvig [45]
26 = 3x - 2 - 7x
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Best answer me please!
6 0
3 years ago
I do not understand how to work out this question please help
enot [183]

a) To find the missing side length on triangle A, we can use the Pythagorean theorem.

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 5 cm

5 and 12 = 5 and 12

b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.

Hope this helps!! :)

8 0
2 years ago
I just really need help with these 3 questions.
Oksanka [162]
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