The order in which the color are chosen is not important(blue, green and red is the same outcome as red, blue, green), which means that the combinations formula is used 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:

3 colors from a set of 10, so:

$C_{10,3} = \frac{10!}{3!7!} = 120$

120 different color combinations are possible.

5 0

2 years ago

Determine the slope and y-intercept of each line.

Zarrin [17]

Answer:

Step-by-step explanation:

y + 2 = 4(x - 1)

y + 2 = 4x - 4

y = 4x - 4 - 2

y = 4x - 6

Comparing with y = mx + c

Where m is the slope and c the intercept

Slope m = 4 and c = -6

6 0

2 years ago

Write the prime factorization of 15. Use exponents when appropriate and order the factors from least to greatest (for example, 2

Marianna [84]

Answer:

3 * 5

Step-by-step explanation:

As there are no repeated primes, no exponents are necessary.

4 0

2 years ago

Sarah has a shoebox that has a base that is 12 inches x 10 inches. The shoe box is 7.5 inches tall. Sarah lost the top to the bo

katrin2010 [14]

450

10*12= 120 the bottom of the box
10*7.5= 75 one side
75*2= 150 two sides
12*7.5= 90 another side
90*2= 180 two other sides
120+150+180 = 450

Hope this helped :)

8 0

2 years ago