Loris has one of each of the following colours of felt-tip pen in her pencil case:
red (R) blue (B) yellow (Y) green (G) purple (P)
She pulls out two random pens.

How many different combinations of pairs of colours are there?

Answers

Answer 1

there are 10  different combinations of pairs of colors.

What is the combination?

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

Given, Loris has one of each of the following colors of felt-tip pen in her pencil case: red (R) blue (B) yellow (Y) green (G) purple (P) She pulls out two random pens.

from the formula of combination;

total combination  ⁿCₓ = [tex]\frac{n!}{(n-r)! * r!}[/tex]

Where, n = total numbers

r = desired number out of total

In our case

n = 5 and r = 2

Thus, the Total combination = ⁵C₂

Total combination = 5! / (3! *2!)

total combination = 5 *4 /2 = 10

therefore, There are ten distinct ways to pair the colors together.

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Related Questions

A rectangular-shaped parking lot is to have a perimeter of 458 yards. If the width must be 51 yards because of a building code, what will the length need to be?​

Answers

Answer:

178 yards

Step-by-step explanation:

458-(51 times 2)

356/2

178

4x + 5y = 22
7x - 3y = -32

Answers

Answer:

x = -2

y = 6

Step-by-step explanation:

i multiplied the 1st equation by 3 and the 2nd by 5 to get the y-terms to zero out

   12x + 15y = 66

+  35x - 15y = -160

   47x = -94

x = -94/47

x = -2

substitute -2 for 'x' to solve for 'y':

4(-2) + 5y = 22

-8 + 5y = 22

5y = 30

y = 6

   

12) 44°
acute
obtuse
right
straight

Answers

Acuse because and acuse angle is under 90 degrees and obtuse is not

Answer:

Acute

Step-by-step explanation:

Anything bellow 90 degree is acute

Anything above 90 degree is obtuse (except 180)

A right is just 90 degrees

and straight is just 180 degrees

I wanna do good on this plz help me!!

Answers

Answer:

2/1

Step-by-step explanation:

JA is the same side as KM

JA=24, KM=12

24/12=2

PLZ HELP I NEED HELP ASAP PPLLLZZZZ

Answers

1 and 2/5 ft after you multiply both length and width.

The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the shorter brother? (12 inches = 1 foot; Remember to convert into inches first and then into feet at the end.) Let the height of the taller brother = x and the height of the shorter brother = y.
4.75 ft
4.5 ft
4 ft
4.58 ft

Answers

Answer:

4.5 ft

Step-by-step explanation:

Let us assume the height of the taller brother be x

And, the height of the shorter brother be y

Now according to the question

x + y = 10.33

x - y = 0.833

Now solve these two equations

2x = 11.666

x = 5.833

y = 10.33 - 5.83

= 4.5 ft

What is the value of x in the solution of the following system of equations: 3x + 2y = 12 and 5x - 2y = 4 ?

Answers

Answer:B

Step-by-step explanation:

Answer: x=  4  −  2 y /3

Step-by-step explanation:

Please Help- Worth 15 Points (NO SCAM ANSWERS)

JOBS Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball’s total pay p after selling d dollars of software.

Answers

Answer:

Its actually only 8 points but its ok.

Hope this helps!

Step-by-step explanation:

P=0.08d+41,250

Tell me if I got it wrong plz!!

someone please answerrrrrr

Answers

The third answer because it is a linear increasing line

The sale price of a swing set is $90. What was the original price? (2 points)
SALE
75% OFF!
HELPPP!

Answers

Answer:

157.05

Step-by-step explanation:

someone pls help:>>

Answers

Answer:  n^2 + 1

Explanation:

Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9

This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1

Answer:

[tex] {n}^{2} + 1 \\ \: respresents \: the \: following \: \\ function[/tex]

i hope it helped.

Determine the equation of the circle graphed below.

Answers

Answer:
(-1,3)
Explanation:
Just-an educated-guess

Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following acute, right or obtuse. Please help and thank you

Answers

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

__

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

  hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

  angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

A graph shows day labeled 2 to 10 on the horizontal axis and miles on the vertical axis. A line decreases from 1 to 2, increases from 2 to 3, decreases from 3 to 5, increases from 5 to 8, decreases from 8 to 9, and increases from 9 to 10.
The scatterplot shows how many miles Marissa jogged over 10 days. Which statements are true? Check all that apply.

Marissa jogged 5 miles on the first day.
Marissa jogged 6 miles on the second day.
Marissa jogged 9 miles on the third day.
Marissa jogged 3 miles on the fourth day.
Marissa jogged 3 miles on the ninth day.

Answers

Answer:

A. Marissa jogged 5 miles on the first day.

D. Marissa jogged 3 miles on the fourth day.

E. Marissa jogged 3 miles on the ninth day.

Step-by-step explanation:

Edge 2021

Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

In this we have to observe the graph and say which alternatives are correct, so we have:

The alternatives A,D and E

then looking at the graph, we can see that the following facts are indicated:

Marisa jogged 5 miles on the first day.

Marisa jogged 3 miles on the second day.

Marisa jogged 4 miles on the third day.

Marisa jogged 3 miles on the fourth day.

Marisa jogged 3 miles on the ninth day.

Hence, Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

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Draw a diagram of x + 3 and 2x for each situation:
x = 1
x = 2
x = 3
x = 4

Answers

The diagram of x + 3 and 2x are as drawn in the image attached

How to draw a diagram of x + 3 and 2x?

Given the situations: x = 1, x = 2, x = 3 and x = 4

For  x + 3

x = 1, x+3 = 4

x = 2, x+3 = 5

x = 3, x+3 = 6

x = 4, x+3 = 7

For  2x

x = 1, 2x = 2

x = 2, 2x = 4

x = 3, 2x = 6

x = 4, 2x = 8

You will use the values of x and y = x+3, and the values of x and y = 2x to draw the diagram of the lines as shown in the attached image

Learn more about diagram of lines on:

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what is the distance between (-1, 2) and (5, -2)on a graph put into a decimal form. ​

Answers

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

What is the graph of the solution set of b - 42 -1?

Answers

Answer:Your answer would be F

Step-by-step explanation:

y = 6x - 13
5x - 2y = 5
Using the substitution method

Answers

Answer:

x=3, y=5

Step-by-step explanation:

Please answer for Brainliest.

Answers

cameron would be making more money because he is making $7.60 per hour. you can find this out by dividing $30.40 by the 4 hours from the table given.

What is the value of each expression?
7/8 + 4/8

Answers

7/8 + 4/8 = 11/8 = 1 3/8 = 1.375

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Area = 7.853981 in^2                (2.5 Pi)

Perimeter = 11.42478 in              (3.63Pi)

Step-by-step explanation:

Area

Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2

Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2

added together = 7.853981 in^2

Perimeter

Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in

Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in

added together = 11.42478 in

brainliest for ripromano please anybody else dont answer

Answers

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

9.16 rounded to the nearest hundredth

Answers

Answer:

9.20

Step-by-step explanation:

9.12 because 6 rounded to nearest hundredth is 10 and that is a whole number. You also already know that 16 is a higher number than ten so it would be rounded to 20 or in this case 2. Hope this helps :)

PLEASE FAST ANSWER ME PLEASEEE
During the election for class president, 30% of the students voted for Ruby, and 70% of the students voted for Ellie. 500 students voted in total. How many MORE students voted for Ellie than for Ruby?

Answers

Answer:

150,350

Step-by-step explanation:

FOR RUBY:

500x30/100=150

FOR ELLIE:

500x70/100=350

Answer:

200.

Step-by-step explanation:

100%->500

1%->500÷100=5

Ruby->30%->30×5=150

Ellie->70%->70×5=350

diff->350-150=200(ans)

Darren and his 2 sisters want to equally share 17 tokens at an arcade. How many tokens will each of them get

Answers

Answer:

6

Step-by-step explanation:

3 divided by 17 there will be 1 left over

help me pls!!!! :c rip

Answers

Answer:

p^⁴/5

Step-by-step explanation:

Step-by-step explanation:

p^4/5. I just know the answer

PLEASE HELPPP
which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20

Answers

Answer:

A

Step-by-step explanation:

9) 8.081 +
+ 0.6 = 10.201
10)
- 3.328 = 0.96​

Answers

9) should be 8.681 so Falso 10) False

do y’all know this one?

Answers

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

A box of cereal contains 510 grams of cereal. To make a bowl of cereal, n grams of cereal is removed from the box. What equation models the relationship between the quantity of cereal removed, n, and the quantity of the cereal remaining in the box, b?

Answers

Answer:

its 34

Step-by-step explanation: i

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