1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andru [333]
3 years ago
13

A basketball coach is purchasing 12 shirts for her team, each with a different number. At the checkout counter, the clerk places

5 of the shirts in the first bag. How many different ways can a group of 5 shirts be placed in that first bag? A. 19,008
B. 60
C. 792
D. 95,040
Mathematics
2 answers:
ICE Princess25 [194]3 years ago
4 0
Kidjov the answer I came up with for you is 792 I hope this helps
kaheart [24]3 years ago
4 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Total number of shirts purchased for her team = 12

Number of shirts places in the first bag = 5

We need to find the number of ways a group of 5 shirts be placed in that first bag.

We will use "Combination" to find the number of different ways :

As we know the formula for Combination.

^nC_r=\frac{n!}{r!\times (n-r)!}\\\\here, n=12\\\\r=5\\\\So,\ it\ becomes,\\\\^{12}C_5=\frac{12!}{5!\times 7!}\\\\=\frac{12\times 11\times 10\times 9\times 8}{5\times 4\times 3\times 2}\\\\=792

Hence, there are 792 ways to do so.

Therefore, Option 'C' is correct.


You might be interested in
What is the equation of the following line? (0,0) (-2,-3)​
Alexus [3.1K]

Assuming you want the slope, the answer is -2/-3.

X-change: -2

Y-change: -3

X-c/Y-c = -2/-3

If -2/-3 is not an answer, try 2/3 or .666 (infinite 6s).

7 0
3 years ago
A carpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of c
german

We can make a proportion to represent the woods used. On the top  is cedar, and on the bottom is the redwood. On the left is what was used the first time, on the right is the current problem.

Before making the proportion, let's do a preliminary step and write all the fractions as improper fractions. We do this because we can't directly multiply or divide mixed numbers, but we can with fractions.

9\frac{1}{2} =  \frac{2 * 9 + 1}{2} =\frac{19}{2}  <-- Multiply denominator times whole number and add the leftover fraction.

7\frac{2}{3} =  \frac{3 * 7 + 2}{3} =\frac{23}{3}  

4\frac{3}{4} =  \frac{4 * 4 + 3}{4} =\frac{19}{4}  

Now we set up the proportion. We solve it by cross multiplying.

\frac{Cedar}{Redwood} =\frac{Cedar}{Redwood}

\frac{19/2}{23/3} =\frac{19/4}{R}

\frac{19}{2} R = \frac{23}{3} *\frac{19}{4}

It may seem right to simplify the right side, but let's leave it alone. We divide both sides by 19/2.

R = (\frac{23}{3} *\frac{19}{4} ) / \frac{19}{2}

Dividing by a fraction means multiplying by its reciprocal. Thus,

R = \frac{23}{3} *\frac{19}{4} *  \frac{2}{19}

Here's where not simplifying really pays off. We can simplify NOW and the terms go away more easily. The 19s go away and simplify to 1, and the 2 and 4 simplify to 1 and 2.  All this happens by dividing out common numbers.

R = \frac{23}{3} *\frac{1}{2} *  \frac{1}{1}

Now we multiply all the tops and all the bottoms.

R = 23 * 1 * 1 / 3 * 2 * 1

R = 23 / 6

While R is 23/6, we need to make it a mixed number. The way we made mixed numbers as improper fractions happens here, except in reverse.

23 ÷ 6 = 3 with a remainder of 5, as 3 × 6 + 5 = 23. Thus, \frac{23}{6} = 3\frac{5}{6}.


As a result, 3\frac{5}{6} feet of redwood is needed.

8 0
3 years ago
Mike pays $26 for 10 baseball tickets. if he wants to buy 30 baseball tickets, how much will he pay?
Shalnov [3]
26/10 = 2.60 .... 2.60 x 30 = 78. So 78 is the answer
3 0
2 years ago
Can I simplify this down anymore? a (a+b) (a-b) / a^2 + 2ab + 2b^2
Andrew [12]
I don't believe you can. It would end up being 1/2 for all the terms so just leaving it as a fraction would be neater.
4 0
3 years ago
What is 2,759 to the nearest hundred
vlabodo [156]
2,800
-------------------------------
3 0
3 years ago
Read 2 more answers
Other questions:
  • 95% of students at school weigh between 62 kg and 90 kg. Assuming this data is normally distributed, what are the mean and stand
    6·2 answers
  • The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a
    11·1 answer
  • Find the perimeter of a parallelogram with one side that measures 39.7 cm and another that is 13 cm
    7·1 answer
  • Solve for W in the scientific formula c= wtc/1,000
    11·2 answers
  • rita flew from Los Angeles to Boston to visit her aunt, a distance of 4000km. the trip took 5 hours. what was the average speed
    13·2 answers
  • What is the value of x in the equation 3x-1/9y=18 when y= 27
    14·2 answers
  • Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
    14·1 answer
  • What is 424 = 87 Enter the answer in the box.
    7·2 answers
  • According to a certain website, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qu
    6·1 answer
  • Simplify. <br>Plz slove it!♥️​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!