All categories

3 years ago

Suppose you have 9 tubes of paint. How many distinct color groupings can you make with your paint?

Mathematics

1 answer:

alexdok [17]3 years ago

7 0

9514 1404 393

Answer:

511

Step-by-step explanation:

Each tube can be included in the mix, or not. There are 2^9 = 512 possible subsets of a set of 9 objects, including the complete set and the empty set. The empty set will not make a color, so there are ...

2^9 - 1 = 511 distinct color groupings that can be made

The assumption in the above answer is that no tube color can be made by any combination of other tube colors.* We also assume that the choice of tubes is what makes a "color grouping", and that the colors within that grouping made by using different ratios of paint quantities are not counted separately.

You might be interested in

Given the figure above, determine

tensa zangetsu [6.8K]

Answer: Angle 2 = 47 degree

Explanation:

Proof that triangle ACB ~ triangle CBD

Angle ABC = Angle CBD (same angle)

If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.

=> angle ACD = Angle CDB

Therefore, triangle ACB ~ triangle CBD (AA)

=> angle C = Angle A

But angle A = 47 degree

Therefore, Angle C = Angle 2 = 47 degree

6 0

3 years ago

The length of a rectangle is 5 more than the width. The perimeter is 120. What is the length, width, and area? Please HELP

Ad libitum [116K]

Answer:

l = 32.5 units, w= 27.5 units, A = 893.75 units²

Step-by-step explanation:

width is w

length is l = 5+w

P = 2( l+w) , substitute l for 5+w

P = 2(5+w+w)

P = 2(5+2w)

P = 10 +4w

P = 120

10 +4w = 120

4w = 120-10

4w = 110

w= 110/4

w= 27.5 units

l = 5+w = 5+ 27.5 = 32.5 units

A = l*w = 27.5 * 32.5 = 893.75 units ²

5 0

2 years ago

¿Can i get the answer?

NikAS [45]

Answer:

15.7

Step-by-step explanation:

5 x 3.14(pi) = 15.7

3 0

3 years ago

A circle have a diameter of 18 meters. What is its

Sergio [31]

Answer:

A. 56.54867 rounded to 56.56

Step-by-step explanation:

18/2=9

r=9

C=2πr=2·π·

C=2(3.14)(9)

9≈56.54867

3 0

3 years ago

A student says that a coordinate grid under a dilation with the center at the origin and scale factor 2 does not change the grid

Kisachek [45]

Answer:

Dilation changes (x,y) values not the grid or coordinate plane. Basically, dilating a graph or a coordinate grid means the original coordinates you may have had will be changed with the dilation. For example, a triangle plotted had its original area of 26 dilated to an area of 58.

8 0

3 years ago