Tony wants to buy a new collar for each of his 4 dogs. The collars come in a choice of 9 different colors.

Step 2 of 2 : How many selections of collars are possible if repetitions of colors are not allowed?

Answers

Answer 1
There are 9 ways to choose the collar color of the first dog, 8 ways to choose the collar color of the second dog (9 choices - the color for the first dog), 7 ways to choose the collar color of the third dog (9 choices - the colors for the first 2), and 6 ways to choose the collar color of the fourth dog (9 choices - the colors of the first three). Total is 9 * 8 * 7 * 6 = 3024 ways.
Answer 2

There are 126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.

What is permutation?

The number of selections of collars possible if repetitions of colors are not allowed, we can use the concept of permutations.

Using the formula for permutations without repetition, we can calculate this as:

9P4 = 9! / (9 - 4)!

= 9! / 5!

= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

= 3024 / 24

= 126

This shows that  126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.

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Related Questions

Explain why a number that is divided by a multiple of 3 is also divisible by 3

Answers

It is a reciprocal. Multiplying is the opposite of Dividing, so if I multiply 3 times 4 I get 12. If i divide 12 by 3 I get 4.

someone help me out please

Answers

The answer is d hope this helps

if you can’t remember then think PEMDAS which is Parenthesis-Exponents-Multiplication-Division-Addition-Subtraction. So perform operations in parenthesis is first. Evaluate terms with exponents is second, multiply or divide from left to right is third. And then ad or subtract from left to right is fourth
Hopefully this helps

Two questions plz help asap. 1.what is the value of a? [tex]-2(a - 8) + 6a = 36[/tex] 2. whats the value of n[tex]\frac{3n + 6}{3} = 15[/tex]

Answers

1. What is the value of a?

-2(a - 8) + 6a = 36

Remember to follow PEMDAS. First, distribute -2 to all terms within the parenthesis

-2(a - 8) = -2a + 16

-2a + 16 + 6a = 36

Simplify. Combine like terms

6a - 2a = 4a

4a + 16 = 36

Isolate the a. Do the opposite of PEMDAS. First, note the equal sign. What you do to one side, you do to the other.

Subtract 16 from both sides

4a + 16 (-16) = 36 (-16)

4a = 36 - 16

4a = 20

Divide 4 from both sides

4a/4 = 20/4

a = 20/4

a = 5

5 is your answer for a

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

2. What is the value of n in (3n + 6)/3 = 15

Remember to do the opposite of PEMDAS. Note the equal sign. First, multiply 3 to both sides

(3n + 6)/3(3) = 15(3)

3n + 6 = 45

Next, subtract 6 from both sides

3n + 6 (-6) = 45 (-6)

3n = 45 - 6

3n = 39

Finally, isolate the n. Divide 3 from both sides

3n/3 = 39/3

n = 39/3

n = 13

13 is your answer for n

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

hope this helps

I have written the solution in  images attached.

a map shows the town where niko lives. the actual distance from niko's house to his school is 3miles, and measures one-half inch on the map. the actual distance

Answers

Answer:

4 miles would be 2-thirds inch on the map.

Step-by-step explanation:

The entire question is:

A map shows the town where Niko lives. The actual distance from​ Niko's house to his school is 3 miles and measures​ one-half inch on the map. The actual distance from​ Niko's school to the library is 4 miles. How long is this distance on the​ map?

To solve this problem, we can apply the rule of three, if 3 miles are one-half inch on the map, how long would be on the map for 4 miles.

[tex]x=4miles\frac{\frac{1}{2}in }{3miles}=4\frac{1}{6}in=\frac{2}{3}in[/tex]

Therefore, 4 miles would be 2-thirds inch on the map.

The actual distance of 4 miles would be 2-thirds inch on the map.

What is the distance

If 3 miles is shown by one-half inch on the map, then to find the length on the map for 4 miles, you can set up a proportion:

(3 miles) / (1/2 inch) = (4 miles) / x

Now, cross-multiply:

3 * x = 4 miles * (1/2 inch)

3x = 2 miles * inch

So , divide both sides by 3 to find the length on the map (x):

x = (2 miles * inch) / 3

x = 2/3 inch

So, the correct length on the map for 4 miles is indeed 2/3 inch.

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Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.

A. Write an expression to show the total amount of money Maggia spent

B. If Maggie bought 4 CDs and 3 books, how much money did she spend?

Answers

Answer:

A: Spent = 12c + 7b  + 24

B: 93 dollars

Step-by-step explanation:

Cost = 12*c + 7*b + 24

If c = 4 and b = 3 then the total cost is

Cost = 12*4 + 7*3 + 24                            Substitute and combine factors

Cost = 48 + 21 + 24                                 Combine Terms

Cost = 93 dollars                                     Answer

Final answer:

Maggie's total spending is represented by the expression 12c + 7b + 24. When purchasing 4 CDs and 3 books, plus a purse, she spent $93.

Explanation:

The total amount of money Maggie spent can be represented by the expression: c CDs at $12 each + b books at $7 each + 1 purse at $24.

So, the expression is 12c + 7b + 24.

Given that Maggie bought 4 CDs and 3 books, the total amount spent is calculated as follows:

For CDs: 4 CDs × $12/CD = $48For books: 3 books × $7/book = $21For the purse: $24 (since only one purse was bought)

Adding these amounts together gives us: $48 + $21 + $24 = $93.

Therefore, Maggie spent a total of $93 for 4 CDs, 3 books, and a purse.

Iman has 6 packs of cards . Mateo has 10 packs of cards. between the two of them, they have 128 sports cards . how many sports cards does each child have? explain your answer?

Answers

iman has 48  cards and mateo has 80 cards

Final answer:

To find out how many sports cards Iman and Mateo each have, we can set up an algebraic equation based on the total number of cards and the packs they have. After solving the equation, we find that Iman has 48 sports cards, and Mateo has 80 sports cards.

Explanation:

The student's question pertains to a problem involving arithmetic and algebra. Iman and Mateo have a total of 128 sports cards combined. The question asks us to find out how many sports cards each child has. Let's call the number of cards that each pack contains 'x'. Therefore, Iman's cards can be represented as 6x and Mateo's cards as 10x. According to the information, 6x + 10x equals 128.

Combining the terms gives us 16x = 128. We can find 'x' by dividing both sides of the equation by 16, which gives us x = 8. Therefore, Iman has 6 packs times 8 cards per pack, which results in 48 cards, and Mateo has 10 packs times 8 cards per pack, adding up to 80 cards.

Iman has 48 sports cards and Mateo has 80 sports cards.

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One board is 6 feet long and the other is 5 1/2 feet long. The total area os 60 3/8 sq ft. What is the width?

Answers

Answer:

5 1/4 ft

Step-by-step explanation:

... Area = length × width

Dividing by length, we find width to be ...

... width = Area / length

... = (60 3/8 ft²)/(6 ft +5 1/2 ft) . . . . total length is the sum of the 2 board lengths

... = (483/8 ft²)/(92/8 ft) = 483/92 ft = 5 1/4 ft

_____

Math with Fractions

[tex]60\dfrac{3}{8}=60+\dfrac{3}{8}=60\cdot\dfrac{8}{8}+\dfrac{3}{8}\\\\=\dfrac{60\cdot 8}{8}+\dfrac{3}{8}=\dfrac{480+3}{8}=\dfrac{483}{8}[/tex]

Division with fractions can be done a couple of different ways.

"invert the denominator and multiply"make the denominators of the fractions be the same, so the quotient is the ratio of the numerators

We have used the second method here.

[tex]11\dfrac{1}{2}=11+\dfrac{4}{8}=11\cdot\dfrac{8}{8}+\dfrac{4}{8}\\\\=\dfrac{11\cdot 8}{8}+\dfrac{4}{8}=\dfrac{88+4}{8}=\dfrac{92}{8}[/tex]

Now we have the two numbers as improper fractions, so the division looks like ...

[tex]\displaystyle\frac{\left(\frac{483}{8}\right)}{\left(\frac{92}{8}\right)}=\frac{483}{92}=\frac{23\cdot 21}{23\cdot 4}\\\\=\frac{21}{4}=5\frac{1}{4}[/tex]

Todd is at the grocery store purchasing ingredients for homemade granola. He needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. The total cost of the other ingredients is b dollars. The following expression represents the total amount of money that Todd will spend on all of the granola ingredients. Todd later finds almonds in the bulk section that are half the price of those in the baking section. If he purchases the almonds in the bulk section, which of the following statements are true about the given expression?

Answers

Answer:

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Step-by-step explanation:

The question is as shown in the attached figure.

Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx

The total cost of the other ingredients is b dollars.

Hence, total cost is given as = mx+b

Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.

So, now price = m/2

And total price for 'x' ounce = (mx/2 + b) dollars.

So, if Todd purchases the almonds in the bulk section, the total cost  will decrease.

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

at East Middle School there 58 left hand students in 609 right-handed students the numbers of left and right handed students at West Junior High are proportional to the number at East Middle School if they're 48 left-handed students at West Junior High how many right-handed students are there

Answers

the answer is 504 because 609/58 is 10.5 and then multiply 48 times 10.5 and you get 504


Answer:

There are 504 right handed students in west junior high school.

Step-by-step explanation:

Number of left handed students in east middle school = 58

Number of right handed students in east middle school = 609

Number of left handed students at west junior high = 48

Let the number of right handed students are west junior high be = x

As given, there a a proportional relation between the two, we can denote this as:

[tex]\frac{58}{609}= \frac{48}{x}[/tex]

Now solving for x;

[tex]58x=609*48[/tex]

[tex]58x=29232[/tex]

x = 504

Therefore, there are 504 right handed students in west junior high school.

Solve the equation.

78 = -2(m + 3) + m
Question 1 options:

–42

–72

–84

–28

Answers

Hey there!!

Equation given :

... 78 = -2 ( m + 3 ) + m

... 78 = -2m - 6 + m

... 78 = -m - 6

... 78 + 6 = -m

... 84 = -m

... m = -84

Hope my answer helps!!

Hello there!

The answer should be the third option C.

[tex]78 = -2(m + 3) + m[/tex]

First you had to simplify from both sides of the equations.

[tex]78=-2(m+3)+m[/tex]

[tex]78=(-2)(m)+(-2)(3)+m[/tex]

[tex]78=-2m+-6+m[/tex]

[tex]78=(-2m+m)+(-6)[/tex]

[tex]78=-m+-6[/tex]

[tex]78=-m-6[/tex]

Then you can flip by the equation.

[tex]-m-6=78[/tex]

Add by 6 from both sides.

[tex]-m-6+6=78+6[/tex]

[tex]-m=84[/tex]

Divide by -1 from both sides.

[tex]\frac{-m}{-1}=\frac{84}{-1}[/tex]

Simplify should be the correct answer.

[tex]m=-84[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Find the product.
6 x 500 = 6 x (blank) hundreds
= (blank) hundreds
= (blank)

**needing the “blanks” answered/solved.

Answers

Final answer:

The first blank should contain the number 50. The second blank should contain the number 300 which represents hundreds. Lastly, the third blank should contain the number 30,000 when converted back from hundreds.

Explanation:

The original equation given is: 6 x 500. We can re-write this first in terms of hundreds as: 6 x (5,000/100) which means 6 times 50 hundreds. Hence, the first blank is 50.

Subsequently, you would find the product of 6 x 50 hundreds = 300 hundreds. Therefore, the value for the second blank is 300.

Finally, you would turn 300 hundreds back into a standard number by multiplying 300 by 100, which equals 30,000. So, the third blank would be 30,000.

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Find The FACTORS of 48

Answers

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Approximately how many feet is in a 100-meter dash? Show your math.

Answers

1meter=3.28 feet. So multiply 100 times 3.28 and that’s your answer

1meter=3.28 feet. So multiply 100 times 3.28 and that’s your answer


Y=x+ 5

Y=5 x + 10

Y= 5 x + 5

Y = x + 10

Answers

y = x + 5

check

for x = 5 → y = 5 + 5 = 10 CORRECT

for x = 10 → y = 10 + 5 =15 CORRECT

for x = 15 → y = 15 + 5 = 20 CORRECT

for x = 20 → y = 20 + 5 = 25 CORRECT

Three consecutive odd integers have a sum of 99. Write an equation, then find the three integers.

Answers

[tex]x + (x + 2) + (x + 4) = 99 \\ 3x + 6 = 99 \\ 3x = 93 \\ x = 31[/tex]
The values are 31, 33, and 35
The equation found the smallest
Please consider for brainiest

What is 2n+n equal to

Answers

Combine like terms. Note that both terms given have the same amount of variables, (n)

Combine: 2n + n = 3n

3n is your answer

hope this helps

2n+n is equal to 3n

Melissa has ridden 51 miles of a bike course they course is 60 miles long what percentage of the course has Melissa ridden so far

Answers

Answer:

299999929132

Step-by-step explanation:

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iencuencuebcubecubeucbeucbe

ucubecbeucbeucbeucbec

uebcuecuebcuebcuebcubeucgbe

ecbuebcuecbuebcuebucbeucb

uebcubecubec

ebcuebcuebcuebcuebcubecuecb

uebcuebcuebcuebcuebcubeucbec

uebcuebcuebcuebc


Melissa has completed 85% of the bike course by riding 51 out of 60 miles. This was calculated by dividing the distance ridden by the total distance and multiplying by 100.

To find out what percentage of the bike course Melissa has ridden, we need to divide the distance she has ridden by the total distance of the course and then multiply by 100 to get the percentage. Melissa has ridden 51 miles of the 60 miles long course. Therefore, the percentage of the course she has ridden is calculated as follows:

Divide the distance ridden by the total distance: 51 miles / 60 miles.Multiply by 100 to convert the decimal to a percentage: (51 / 60) * 100.

When we perform this calculation, we get:

(51 / 60) * 100 = 85%

So, Melissa has ridden 85% of the bike course.

Find the difference 1640-952=

Answers

1640-952 is equal to the value 688

the difference of 1640-952 is 688

Jocelyn was able to get 2.75% interest rate on her house. She financed $150,000 for 15 years at the same rate. In total how much will she pay for the house?

Need for test corrections by tomorrow. ASAP

Answers

she will have to pay $61875 of interest at the end of the 15 years.

in total  she would have to pay $211875

The sum of two numbers is 76. Their difference is 36. Find the numbers

Answers

The sum of two numbers is 76. Their difference is 36. Find the numbers


X+y= 76

X-y=36


Add x+x , y cancels out, add76+36


2x= 112


Divide 2 both sides


X= 61


Now substitute your x answer into first original equation


X+y =76

61+y =76


Subtract 61 both sides to get y .


Y= 76-61

Y= 15



Your two numbers are 61 and 15



A dance school allows a maximum of 15 students per class. If 112 students sing up for dance class, how many classes does the school need to offer to accommodate all the students?

Answers

The answer is 8.

In order to accommodate (or provide space for) all students, with the maximum students per class being 15, there needs to be at least enough for 112. A way to figure this out is 112 / 15 (the total amount of people signed up divided by the amount per class). The quotient is 7.466..., which does not work since you cannot have a 0.466... of a human in a class. This means you must round to the nearest whole number. If there were more students it could accommodate 8 more being that 15 * 8 is 120, but in this case there are only 112.


Hope I helped! Please give Brianliest if I did!

Please help me! Whoever gets the correct answer and explains it will get marked Brainliest!!

Answers

1. The answer is 0.425

2. the answer is 0.425

3. the answer is 0.2125

3m-7=8 solve please NEED HELP

Answers

Solve for m.

Add 7 to both sides to get 3m=15

Then divide by sides by 3 to get m=5.

The final answer is m=5.

1.) add 7 to both sides

3m = 8 + 7

2.) add 8+7

3m = 15

3.) divide both sides by 3

m = 15/3

4.) divide 15/3

5.) m = 5

The gauge on a gas tank showed that the tank is 3/4 full. After traveling some distance, the gauge showed that the tank is 1/8 full. The tank was then filled to its full capacity by adding 16.8 gallons of gasoline.How many gallons of gasoline were in the tank when it was 3/4 full?

Answers

First we find how much was left as 1/8 full

16.8 times 0.125

2.1

Now add this to the amount that was added to reach full gauge

2.1 +16.8

18.9

Next we find out what 3/4 of a full tank is

18.9 times 0.75

14.175

So, the gas tank has 14.175 gallons when it is 3/4 full

please help me with this!

Answers

-13F is less than -12F and -9F is greater than -12F

Answer:

-13F is less than -12F, and -9F is greater than -12F


Step-by-step explanation:

You can prove this because in the problem is states that -13F < -12F < -9F

If you utilize this, you find that the first statement is quite obvious:

-13F is less than -12F

The second statement is a little trickier. Since in the original inequality is states that -12F < -9F, but you want to know the relationship between the switch, you would just flip the sign in the middle, getting you:

-9F is greater than -12F

You could also prove this simply with the rules of negative values (which work inversely from positives).


The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Water (cups) 2 5 3 7.5 5 12.5 8 20 Which statements apply to the ratio of rice and water? The amount of rice is the dependent value. The amount of water is the dependent value. The amount of rice is the independent value. The amount of water is the independent value. The values cannot be labeled as dependent or independent without a given equation. The values cannot be labeled as dependent or independent since any amount can be selected for either.

Answers

Answer:

Consider

Amount of Rice (cups) : Amount of Water(cups)

1.2/5

2. 3/7.5=2/5

3. 5/12.5=2/5

4. 8/20=2/5

As in all cases Amount of Rice and Amount of water in cups are same.

i.e⇒ Amount of rice × K = Amount of water, where K is constant of proportionality.

So, Among all the statements

The amount of rice is the dependent value. The amount of water is the dependent value are correct.

Which means if either of them (Amount in cups) is given we can find other.




7.) Nate has $267 in bills. None of the bills is greater than $10. He has eleven $10 bills. He has seven fewer $5 bills than $1 bills. 7a.) How many $5 and $1 dollar bills does he have? 7b.) Describe the problem solving strategy you used to solve this problem.

Answers

just set up 2 equations. 

267 = 10(11) + 5(x) + 1(y) 
x = y - 7 

you can plug the second into the first and get 

267 = 110 + 5(y - 7) + y 
157 = 5y - 35 + y 
6y = 192 
y = 32 
x = 32 - 7 = 25 

thus, 32 $1's and 25 $5's
Final answer:

To solve the problem, an algebraic equation is set using the given conditions. After solving it, it's established that Nate has 28 one-dollar bills and 21 five-dollar bills.

Explanation:

Let's solve the problem in two steps. First, we already know the total sum of money Nate has, which is $267, and the value of his eleven $10 bills, which is $110. So, we subtract $110 from $267, leaving $157 to be divided among the $5 and $1 bills.

Next, we assign variables to the unknowns. Let's call the no of $1 bills 'x' and no of $5 bills ''x-7'. A $5 statement is worth five $1 bills so that we can rewrite 'x-7' as '5(x-7)'. Setting up the equation 5(x - 7) + x = 157 and solving for x gives us 28.

The problem-solving strategy here is using a system of equations to solve a money problem. So Nate has 28 one-dollar bills and 21 five-dollar bills (28-7).

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I need help with these problems!!! 

Answers

x^2 = √150

x^2 = √(25 * 6)

x = + - 5√6

Answer

Last one

+ - 5√6

Last one is correct

What is the expression in exponential form

Answers



6√2m is the same as 2m^1/6. Multiply 1/6 by 5 and you get 5/6 so it is 2m^5/6

40.79 divided by 6.7

Answers

The final answer would be 5.16

ava dis u? haha

The answer would be 6.08 consider the numbers behind the decimals as they will be helpful to know where to put your decimal point in your answer. Hope this helps!

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