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Andru [333]
3 years ago
13

Debbie is borrowing 3 books from her friend who has a collection of 45 books. Which of the following expressions represents the

number of ways Debbie can choose a group of 3 books?
a.P(45, 3)
b.C(45, 3)
b.45!
Mathematics
2 answers:
choli [55]3 years ago
6 0
The order of the 3 books does not matter  so its the number of combinations of 3 from 45 

b is the correct choice
olya-2409 [2.1K]3 years ago
5 0

Answer: b.C(45, 3)

Step-by-step explanation:

Given: Debbie is borrowing 3 books from her friend who has a collection of 45 books.

Therefore,  the number of ways Debbie can choose a group of 3 books will be equal to the number of combinations of selecting 3 books from 45 books.

i.e. The number of ways Debbie can choose a group of 3 books=C(45, 3)

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The speed of light is approximately 299,000,000 meters per second.
jek_recluse [69]

Answer:

2.99 x 10⁸ meters per second

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form of a \times 10^n, where  1\leq a < 10  and  n is any positive or negative whole number.

To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>

The number of times you have moved the decimal point is the power of 10 (n).

If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.

If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.

<u>To convert the given number to scientific notation</u>

The decimal point for the given number 299000000 is after the last zero:

⇒  299000000.

Move the decimal point 8 places to the left:  

⇒ 2.99000000

Get rid of the redundant zeros:

⇒ 2.99

Multiply by 10 to the power of the number of decimal places moved:  

⇒ 2.99 x 10⁸

Therefore, the speed of light using scientific notation is:

  • 2.99 x 10⁸ meters per second
7 0
2 years ago
Ivan has 15 yards of green felt and 12yards of blue felt to make 3 quiltsif ivan uses the same total number of yards for each qu
Juliette [100K]

ivan used 5 yards of green for each quilt and 4 yards of blue for each quilt.

6 0
3 years ago
Each flower has a specific price. One tulip, one daisy, and 2 mums cost $4.20. On tulip, two daisies and one mum cost $3.80. Two
sineoko [7]

Answer:

The answer to your question is $5.60

Step-by-step explanation:

    1 tulip + 1 daisy + 2 mums = $4.20           (1)

    1 tulip + 2 daisies + 1 mum = $ 3.80         (2)

    2 tulips + 2 mums = $4.80                        (3)

    1 tulip + 3 daisies + 2 mums = ?

tulip = t      daisy = d      mum = m

Process

1.- Find the price of each flower using system of equations

    Solve equation 3 for tulip

     2t = 4.80 - 2 m     divide by 2                            (4)

     t = 2.40 - 1m

2.- Substitute equation 4 in equation 1 and 2

    (2.4 - 1m) + 1 d + 2 m = 4.2

    (2.4 - 1m) + 2d + 1 m = 3.8

3.- Simplify and solve for each flower

     2.4 - 1m + 1d + 2m = 4.2

      1d + 1m = 4.2 - 2.4

      1d + 1m = 1.8                   Equation (5)

     2.4 - 1m + 2d + 1m = 3.8

     2d = 3.8 - 2.4

     2d = 1.4

     d = 1.4/2

     1d = 0.7

4.-  Substitue d in equation 5

     1(0.7) + 1m = 1.8

     0.7 + 1m = 1.8

     1m = 1.8 - 0.7

      1m = 1.1

5.- Subtitute m in equation 4

     1t = 2.40 - 1(1.1)

     1t = 2.40 - 1.1

      1t = 1.3

6.- Result

     1 tulip + 3 daisies + 2 mums cost = 1.3 + 3(0.7) + 2(1.1)

                                                            = 1.3 + 2.1 + 2.2

                                                            = $5.6

8 0
3 years ago
Two less than the product of 9 and a number is 5. translate the sentence into an equation
Leona [35]

Answer:

Step-by-step explanation:

9n - 2 = 5

4 0
3 years ago
Help no points ok yea
Valentin [98]

Answer: 1, it’s a continuous cuz it’s a line and not dots

2, I think the notation u use is f(x) = 50+25x

3, D: - infinity, infinity

4, R: - infinity, infinity

Step-by-step explanation:

Google hope it helps

4 0
3 years ago
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