Three different sets of objects contain 2, 3, and 14 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
A. 28
B. 42
C. 84
D. 19

Answers

Answer 1
the answer is C, eighty four combinations
Answer 2

Answer:

C) 84

Step-by-step explanation:

Use the Fundamental Counting Principle, which states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. In this case, we have 2 ways to select one object from the first set, 3 ways to select one object from the second set, and 14 ways to select one object from the third set. So, we multiply and do 2*3*14=84

Therefore, there are 84 unique combinations


Related Questions

Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?

Answers

Answer:

50%

Step-by-step explanation:

75/150 = x/100

x = 50

Answer:

50%

explanation

half of 150 is 75(75x2)

Help help help help math

Answers

Answer:

158

Step-by-step explanation:

We know the supplement of angle 6 is 22, due to the fact that they are corresponding angles. Simply subtract 22 from 180 to get the answer. 180-22=158

Answer:

158 degrees

Step-by-step explanation:

Angle 6 has a same side interior relationship with the 22 degrees, so the sum of these angles are equal to 180 degrees.

To find the missing angle, subtract 180 by 22 degrees.

180-22= 158

Which any quality represents the statement the sum of -3 and a number is at least 5

Answers

5 is less than or equal to -3+x

Answer: -3 + n >= 5

Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12

Harry bought two-thirds pound of candy. He ate four-fifths of the candy. What was the weight of the candy he ate?

Answers

Answer:

8/15

Step-by-step explanation:

not sure but I think you just multiply them

what is 3.98.7 * 29.76+

Answers

Answer:

- 7% of 3.98...

... is equivalent to multiplying them:

- 7% × 3.98 ≈ - 0.28

(Rounded to a maximum of 2 decimals)

Step-by-step explanation:

Which is the equivalent of 0.00000000989 in proper scientific notation?

Answers

Answer:

  9.89×10^-9

Step-by-step explanation:

  0.000 000 009 89 = 9.89×10^-9

__

We have introduced spaces in the number to make the digits easier to count. (Some technical publications will write the number with thin spaces for just that reason.) The most-significant digit is in the 9th place to the right of the decimal point, so has a place value of 10^-9.

Jackie runs and dances for 75 minutes every day.
She dances 25 minutes more than she runs.

What is the greatest amount of time she could spend dancing every day,
given she will take a run.

Answers

Answer:

I think it is 50 because 75-25=50

simplify 8x-5-10x+7 GCF

Answers

Answer:

-2x + 2

Step-by-step explanation:


A video game is on sale for 30% off the
regular price of $50. What is the sale
price of the video game

A.$20
B.$30
C.$33
D.$35

Answers

Answer:

d! 35 ......!!!!!!!!!!!!

The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase.

Answers

well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]

What is the mathematical formula of ligma

Answers

Who's Joe? I am in dire need of therapy.

What expression is equivalent to 23x?
A.) 5(3x) + 8x
B.) 2x + 6x + 12x
C.) 4(4x + 2x)
D.) x + x + x + 19x

Answers

Answer:

multiply 5 times 3 that is equal to 15.

15 plus 8 is equal to 23 and add the x.

Solve for the value of X

Answers

Check the picture below.

I believe that the answer is 10.
X=10

A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?

Answers

Answer: HIs income was  $6744.04

Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!

The taxable income last year is $552.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

We have,

Last year, a part-time housekeeper earned $8798.

He claimed he was exempt, costing $365.

$570.00 is the standard deduction.

Gross income less the standard deduction and all exemptions equals taxable income.

= 8798 - 3650 - 5700

= $-552

The negative sign indicates that he owes no taxes.

learn more about compound interest here:

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One bridge in Maryland is 6,946 meters
long. It is 46 times as long as another
nearby bridge. How long is the shorter
bridge? Explain.

Answers

Answer:

151 meters

Step-by-step explanation:

6946/46=151 meters

Answer:

Step-by-step explanation:

If you want to be formal, let the shorter bridge = x

46x = 6946                  Divide by 46

x = 6946/46

x = 151

So the shorter bridge is 151 meters long.

6(2x + 4) = 3(4x + 8)
Please answer this!

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

6(2x + 4) = 3(4x + 8)

Distribute the 6

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 3(4x+8)

Distribute the 3

3 * 4x = 12x and 3 * 4 = 24

12x + 24 = 12x + 24

On both sides of the equal sign we have 12x + 24.

When both sides are equal there are infinitely many solutions.

When two numbers are multiplied to get product, each number is called a(n)?
1.factor
2.substitute

Answers

Answer:

Each number is called a factor

Step-by-step explanation:

The multiplication of two numbers is equivalent to adding as many copies of one of them

John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?

Answers

10% of $3250 would be $325 of commission

A college is selling tickets to the annual battle of the bands
competition. On the first day of ticket sales, the college sold 3
student tickets and 5 adult tickets for a total of $70. On the
second day, the college sold 12 student tickets and 12 adults
tickets for a total of $216.
Use elimination to solve the system of linear equations and
determine the price of each student ticket, x, and each adult
ticket, y. Write your answer as an ordered pair (x,y).

Answers

Answer:

Step-by-step explanation:

Answer:

(10,8)

Step-by-step explanation:

Find the measure of the angle marked and indicated in bold.

Answers

Answer:

105° your answer

Step-by-step explanation:

parrallel line = gongruent angles

16x - 7 = 15x

16x - 15x = 7

x = 7

------------------------

7 * 15 = 105° your answer

--------------------------------

16 * 7 - 7 = 15 * 7

105 = 105

the answer is good

An automobile manufacturer produces 79​% of its cars at plant A. If 5​% of the cars manufactured at plant A have defective emissions control​ devices, what is the probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device?

Answers

Answer:

79

over

2000 or 79/2000 or 3.95%

Step-by-step explanation:

The probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device is 6.33%.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, An automobile manufacturer produces 79​% of its cars at plant A and 5​% of the cars manufactured at plant A have defective emissions control​ devices.

∴ The probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device is,

= (5/79)×100%.

= 6.33%.

learn more about conditional probability here :

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Find the equation of the line passing through point (-1, -2) and having
slope 1/5. Show work.

Answers

Answer:

Y=1/5x+ -2

Step-by-step explanation:

Hope this helps

Determine the center of the ellipse whose equation is.​

Answers

Answer:

It is reported as an equation but it has no equal sign.

Care to explain?

Step-by-step explanation:

Answer:

  (4, -3) is the center

Step-by-step explanation:

The equation ...

  16x^2 +25y^2 -128x +150y +81 = 0

can be rearranged by completing the square(s) to ...

  (4x -16)^2 +(5y +15)^2 = 400

Dividing by 400 gives ...

  (x -4)^2/5^2 +(y +3)^2/4^2 = 1

This is the equation of an ellipse centered at (4, -3) with major axis 10 and minor axis 8.

Find radiuses of circles, if OO1=20cm and 3AK=2BK

Answers

Answer:

radius of smaller circle on the left =  8 centimetersradius of larger circle on the right =  12 centimeters

=============================================================

Explanation:

The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.

Based on that, we can say that PQ = 20 cm.

Let x = length of PK

PK + KQ = PQ

KQ = PQ - PK

KQ = 20 - x

We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.

------------------------

We're given this equation

3AK=2BK

Let's get the numbers to one side and the letters to the other side like so:

3AK=2BK

3AK/BK = 2

AK/BK = 2/3

We'll use this later as well.  I'll refer to this as "Fact 2" when it does come up later.

------------------------

Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.

The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.

The angles AKP and QKB are vertical angles, so they are congruent.

The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).

------------------------

Now that we know the triangles are similar, we can use a proportion to solve for x.

PK/KQ = AK/KB

PK/KQ = 2/3  .... use fact 2

x/(20-x) = 2/3 .... use fact 1

3x = 2(20-x) .... cross multiply

3x = 40 - 2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

So,

PK = x = 8KQ = 20-x = 20-8 = 12

The radius of the smaller circle on the left is 8 cm.

The radius of the larger circle on the right is 12 cm.

what is the value of x in m(x+n)=n​

Answers

Answer:

open the brackets

mx+mn=n

mx=n-mn

since we want to know the value of x , then we divide both sides with m ,thus giving us

x=n/m - n

Answer:

x = [tex]\frac{n-mn}{m}[/tex]

Step-by-step explanation:

m(x + n) = n ← distribute parenthesis on left side by m

mx + mn = n ( subtract mn from both sides )

mx = n - mn ( isolate x by dividing both sides by m )

x = [tex]\frac{n-mn}{m}[/tex]

Is there a formula for
[tex] {a}^{m} + {a}^{n} [/tex]
?​

Answers

Answer:

No

Step-by-step explanation:

There is no formula

There is no formula

Please Help I am giving many points!

Answers

Answer:

D

Step-by-step explanation:

n = 5

an = 176

an = a1*x^(n -1)

a5 = a1 * x^4 = 176

a7 = a1 * x^6 = 704

a7/a6 = a1 * x^6 / a1*x^4 = 704 / 176

Cancel out a1

x^6/x^4 = 704/176      Divide numerator and denominator by 176

x^2 = 4                        Take the square root of both sides

x = 2 or - 2

176 = a1 * x^4

176 = a1 * 16

a1 = 11

a1 is going to be 11 whether x is 2 or minus 2.

hi mallllll. hehehe

once again its [tex]a_{1} = -11[/tex]

Area of rectangle 2x8/9

Answers

Answer:

32/9

Step-by-step explanation:

2*(2)(8/9) = 4*8/9 = 32/9

Can someone help me please!? Can you show the work as well! :)

Answers

Ok done. Thank to me :>

Pls help me find the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

2x+6=x+9 subtract x in both sides

x +6 =9 subtract 6 in both sides

x = 3

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