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allochka39001 [22]
3 years ago
15

A colour palette at a paint store has 6 shades of blue. Kelsie is choosing 2 shades of blue to paint her room. How many pairs of

colours can she pick from the colour palette?
A.) 12
B.) 15
C.) 30
D.) 720
Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

B.) 15

Step-by-step explanation:

The order in which the shades are chosen is not important. For example, choosing powder then sky is the same outcome as choosing sky then powder. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

2 shades from a set of 6. So

C_{6,2} = \frac{6!}{2!(6-2)!} = 15

So the correct answer is:

B.) 15

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Step-by-step explanation:

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8 0
3 years ago
Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?
Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

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2 years ago
The sum of three numbers is 72. One number is two times 10 and another number is three times 10. What is the third number?
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The third number is 20
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