In how many distinguishable ways can the letters of the word ILLINOIS
be ordered?


Answers

Answer 1

Answer:

3360 ways

Step-by-step explanation:

ABCDEFGH-- there are 8! ways to organize these letters

since the I is repeated 3 times and the L is repeated 2 times we have to divide by (3!*2!)

[tex]\frac{8!}{2!3!}[/tex]=3360

3360

Answer 2

Answer:

7

Step-by-step explanation:

Since the two L’s must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS has n = 7 letters: 3 I’s, 1 LL, 1 N, 1 O and 1 S. Hence the numbers of ways to permute letters of the word ILLINOIS if the two L’s must be consecutive is: 7!


Related Questions

The dance committee hired DJ Emanuel for the fall
dance. DJ Emanuel charges $I25 per hour plus $55 for
an assistant. The committee wants to keep the total
cost under $600. What is the maximum number of
hours that DJ Emanuel can play at the dance?

I need the inequality, inequality answer, final answer

Answers

Answer:

Inequality:  125x + 55 < 600

Solution of inequality: x < 4.36

Final answer: 4 hours

Step-by-step explanation:

Let the number of hours be x.

1 hour costs $125.

2 hours cost $125 × 2

3 hours cost $125 × 3

x hours cost $125 × x or simple 125x.

The assistant costs $55.

The total cost is 125x + 55.

The cost must be under $600, so

125x + 55 < 600

Subtract 55 from both sides.

125x < 545

Divide both sides by 125.

x < 4.36

In theory he can be hired for any amount of hours under 4.36 hours, but he probably works only full hours, so you need to round down to 4 hours.

4 hours

I need help on 12&14 please!! Even if you can only answer one

Answers

Answer:

Question 12

Luisa's annual contributions:

Group Med = 25% of $12,988
(as employer pays 75%)Dental = $980Vision = $324

25% of $12,988

= 0.25 × $12,988

= $3,247

(a)  Total annual contribution:

= Group Med + Dental + Vision

= $3,247 + $980 + $324

= $4,551

(b) Bi weekly deduction:

= $4,551 ÷ 365 × 14

= $174.56

OR

= $4,551 ÷ 52 × 2

= $175.04

**It depends how you calculate biweekly - if you divide the annual amount by 365 days then multiply by 14, OR if you divide the annual amount by 52 weeks then multiply by 2**

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

Question 13

Boris' annual contributions:

HMO = 10% of $8,190
(as employer pays 90%)Dental = 50% of $662Vision = 50% of $288

HOM - 10% of $8,190:

= 0.1 × $8,190

= $819

Dental - 50% of $662:

= 0.5 × $662

= $331

Vision - 50% of $288:

= 0.5 × $288

= $144

Total annual contribution:

= HMO + Dental + Vision

= $819 + $331 + $144

= $1,294

Weekly deduction:

= $1,294 ÷ 365 × 7

= $24.82

OR

= $1,294 ÷ 52

= $24.88

**It depends how you calculate weekly - if you divide the annual amount by 365 days then multiply by 7, OR if you divide the annual amount by 52 weeks**

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

Question 14

Annual contributions:

PPO = $12,640Dental = $866Vision = $444

Total annual contribution:

= $12,640 + $866 + $444

= $13,950

Quarterly payments:

= $13,950 ÷ 4

= $3,487.50

on eduardo workbench are the following paint cans.
3 cans of red paint
5 cans of blue paint
8 cans of green paint
4 cans of yellow
eduardo will randomly choose one can of paint. what is the probability that he will choose a can of red paint or can of blue paint.

Answers

Answer:

likely to chose blue and unlikely to chose red

Step-by-step explanation:

Answer:

8/20

Step-by-step explanation:

P(R)orP(B)=P(R)+P(B)

=3/20+5/20

=8/20

Need help with system of equation 3 variable.

Answers

Answer:

Here is an example of a systems equation with 3 variables:

x+y+z=2

6x-4y+5z=31

5x+2y+2z=13

Step-by-step explanation:

Using elimination:

x+y+z=2

5x+2y+2x=13

5x+2y+2x=13

- 2x-2y-2z-4

____________

3x=9

x=9

Using substitution:

9+y+z=2

y=z-7

9+z-7+z=2

2+2z=2

z=0

Using substituion again:

9+y=2

y=-7

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Lamar is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $35 for the meal, plus $4 per kilogram for the lobster he picks. At the second restaurant, Lamar would pay $3 per kilogram for the lobster, in addition to $44 for the meal. Lamar realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Lamar pay for his dinner? What is the weight?


Dinner would cost $__ at either restaurant if Lamar's lobster weighed __ kilograms.

Answers

Answer:

The weight : 9 pound

Lamar would pay for his dinner : $71

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 35  

the cost of the dinner at restaurant 2 is 3x + 44

Now ,we have to solve the equation :  

4x + 35 = 3x + 44

-3x - 35   -3x  - 35    -> trying to get all x terms on one side. other just #

4x - 3x = 44 - 35

⇔ 1x = 9

⇔ x = 9

In this case Lamar would pay the same amount for his dinner at any restaurant:

the price = 4×(9)+35 = 71

               = 3×(9)+44 = 71.

Hope this helps, Let me know if you have any question/concerns !

Have a nice rest of your day :)

The volume of a hemisphere that has a radius of 8centimeter to the nearest tenth.



Answers

[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies \begin{array}{llll} V-\cfrac{1}{2}\cdot \cfrac{4\pi (8)^3}{3}\implies V=\cfrac{1024\pi }{3} \\\\\\ V\approx 1072.3 \end{array}[/tex]

place a check mark in the box next to each set of lengths that could be the sides of a triangle. Select all that apply

Answers

Answer:

This question has no content for me to answer, Iwant the points so I will be taking them anyway Thankyou. Also may I please have brainliest on the only 2 questions you asked.

Step-by-step explanation:

the answer is C. triangle

Answer:

in future please attach photo of question aswell :]

Step-by-step explanation:

unfortunately you haven't provided the neccasary context to answer. with no idea what the boxes might be or what the triangles look like i cannot give an educated response.

Jose wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house (-8, -9) and the store (-4,-10). Each unit is equal to one
mile.

Answers

Answer:

You need to go 8 squares to the left and then go 9 square down. (-8, -9)

for the second one you need to go 4 squares to the left and 10 squares down. (-4, -10)

The distance between the coordinates of house and store is D = 17 miles, or about 4.12 miles

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -8 , -9 )

Let the second point be Q = Q ( -4 , -10 )

Now , Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( -8 + 4 )² + ( -9 + 10 )²

On simplifying , we get

D = √ ( 4 )² + ( 1 )²

D = √17 units

And , 1 unit = 1 mile

So , √17 units = 4.12 miles

Hence , the distance between Jose's house and the store is √17 miles, or about 4.12 miles

To learn more about distance between 2 points click :

https://brainly.com/question/18234495

#SPJ2

What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1

Answers

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i       Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

Answer:

5 - 3i

Step-by-step explanation:

Real numbers are a subset of the complex numbers. Therefore it would only make sense that the complex numbers follow the same rule of additivity and multiplication as real numbers do:

[tex](2+4i)+(3-7i)=2+3+4i-7i=5-3i[/tex]

Direction:find the volume of each solid figure below.


Answers

Step-by-step explanation:

9) volum = width× lenght × height

= 2×3×7 = 42 m³

10) = 7³ = 343 cm³

Answer:

Question 9: Volume = 42m

Question 10: Volume = 343cm

Step-by-step explanation:

Volume for a rectangular prism: V = length x height x width

Question 9:

Length = 7m

Width = 2m

Height = 3m

V = (7m) x (2m) x (3m)

V = 14m x 3m

Volume for a cube: V = a^3 → this is the formula since all sides are the same length

Question 10:

Length = 7cm

Width = 7cm

Height = 7cm

V = (7cm) x (7cm) x (7cm)

V = 49cm x 7cm

V = 343

OR

V = a^3 → (7)^3

Kim bought 2 dozen chairs for a party. She placed them in 8 groups. How many chairs were in each group?

Answers

Answer: 3

Step-by-step explanation: 2 dozens is 24.

Divide 24 by 8 =3

madi sells 23oz cans of jelly beans for 63 cents and 15oz cans for 45 cents. assume that the price varies linearly with the number of ounces.

Answers

7373 siege 683 an end 77) 7 Hbe due 78738 7

Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a standard deviation of 4. 5. Half of all 4-year olds are shorter than:

Answers

Answer:

103 cm

Step-by-step explanation:

Half are above and half are below the mean

Find the surface area of a box that is 14 inches deep, and 7 inches tall and 7 inches wide

Answers

Answer:

The answer is 686 inches

Step-by-step explanation:

Answer:

The surface area of a box is 686 inches

Step-by-step explanation:

You can do it by muliplying;

[tex]14*7*7=686[/tex]

Give the guy about brainliest!

I already have too many TvT

Hope this helped! :^)

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/14/2022 at 6:37 PM

(To avoid plagarism, by users whom decide to copy.)

LES
Algebra 1 -Mock EOC
COUNT
3. Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is
$20 more than half of John's monthly allowance. If x represents John's allowance, in dollars, which
equation is true?
A. x- (0.5x+20) = 300
B. x + (20+0.5x) = 300
C. x + 300=0.5x + 20
D. x + (0.5x20) = 300

Answers

Answer:

B. x-(0.5x+20)=300

Step-by-step explanation:

Because you add 20 to half of John's monthly allowance, and 0.5x is saying John's allowance divided by 2. Then you have Melissa's allowance, which then you add to John's allowance to get the total of $300 combined.

The equation that describes the situation would be; A. x-(0.5x+20)=300

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is $20 more than half of John's monthly allowance.

When x represents John's allowance, in dollars

Since we add 20 to half of John's monthly allowance, 0.5x is saying John's allowance is divided by 2.

Now we have Melissa's allowance, which then adds to John's allowance to get a total of $300 combined.

The equation becomes as;

x-(0.5x+20)=300

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines intersect? How do you know?

Answers

The lines intersect at (x,y) = (6,2)

This is simply because the x coordinate is 6 and the y coordinate is 2.

The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.

The line y = 2 is horizontal where all points on it have a y coordinate of 2.

The vertical and horizontal lines intersect at (6,2)

What is the length of the missing leg? If necessary, round to the nearest tenth

Answers

The answer is 80m
Explanation: a^2+b^2=c^2

Find the SURFACE AREA of the shape below.

Answers

Answer:

292 CM

Step-by-step explanation:

8x7 = 56 (2 such sides)

6x8 = 48 (2 such sides)

7x6 = 42 (2 such sides)

56(2) + 48(2) + 42(2)=

292

determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio. -29, -34, -39, -44, -49, ...

Is this: common difference =5?
arithmetic?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{-34 - (-29) = -5 } [/tex]

[tex] \textsf{-39 - (-34) = -5 } [/tex]

[tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of -5} [/tex]

Sequence: -29, -34, -39, -44, -49, ...

First we need to identify the terms:

1st term = -292nd term = -343rd term =  -394th term = -445th term  = -49

If the sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If the sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ x \ third \ term} }}[/tex]

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

Check for arithmetic

[tex]\rightarrow \sf -34 = \sf \dfrac{-29 +(-39)}{2}[/tex]

[tex]\rightarrow \sf -34 = \sf \dfrac{-68}{2}[/tex]

[tex]\rightarrow \sf -34 = -34[/tex]       [Hence it's arithmetic series]

To find common difference. we have to think of how to go to next term.

first term: -29

to go the second term, subtract by -5

-29 -5 = -34, second term

-34 - 5 = -39, third term

Hence, common difference: -5

Solutions:

Arithmetic Sequence

Common Difference: -5

8 + 40 + 200 + ... + 15625000
Sum of a finite geometric series:
Sn=a1-a1r / 1-r

Answers

Answer:

19,531,248

Step-by-step explanation:

General form of a geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the first term and [tex]r[/tex] is the common difference)

Given geometric series:   8 + 40 + 200 + ... + 15625000

[tex]\implies a_1=8[/tex]

[tex]\implies a_2=40[/tex]

[tex]\implies a_3=200[/tex]

To find the common ratio [tex]r[/tex], divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{40}{8}=5[/tex]

Therefore:

[tex]\implies a_n=8(5)^{n-1}[/tex]

To find n when [tex]a_n=15625000[/tex] :

[tex]\implies 8(5)^{n-1}=15625000[/tex]

[tex]\implies (5)^{n-1}=1953125[/tex]

[tex]\implies \ln (5)^{n-1}=\ln1953125[/tex]

[tex]\implies (n-1)\ln 5=\ln1953125[/tex]

[tex]\implies n=\dfrac{\ln1953125}{\ln5}+1[/tex]

[tex]\implies n=10[/tex]

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 10 terms:

[tex]\implies S_{10}=\dfrac{8(1-5^{10})}{1-5}[/tex]

[tex]\implies S_{10}=19,531,248[/tex]

The segments are tangents to the circle. Find the perimeter of JLNQ.

Answers

Answer: 28

Step-by-step explanation:

Which net represents this solid figure?
Please help, so that I'll get a 100%​

Answers

the one u originally clicked (in yellow) is correct. all sides match perfectly with the figure.

For all x, (2x + 1)^2= ?

Answers

Answer:not sure but it’s either a b c d e maybe don’t hold me to that

Step-by-step explanation:‍♀️‍♂️‍♀️‍♂️‍♀️‍♂️‍♂️‍♀️‍♀️

Answer: hii :)

E. 4x2+4x+1

Step-by-step explanation:

Expand the expression.

Hopefully this helps you!

- Matthew

How do I do number 9?

Answers

Answer:

b

Step-by-step explanation:

There are 8 possibilities

 2 up and 4 up are the up and even moves   ===> 2 out of 8

2/8 = 1/4

The dot plot shows the mass, in grams, of several substances in an experiment.





How many substances has their mass recorded during the experiment?

Enter the answer in the box.


substances
A number line ranging from 60 to 68 with four dots over 64, one dot over 65, two dots over 66, two dots over 67, and four dots over 68.

Answers

Answer:

The answer is 13. Just count the dots.

Step-by-step explanation:

Answer:13

Step-by-step explanation:

bc i said so

Can anyone help me out??

Answers

You can solve this problem by using Pythagoras.

AB = sqrt(9^2 + 8^2) = 12.04

12.0 to the nearest tenth.

Please help me with this. I'm not that smart​

Answers

Answer:

1.fireworks conjunction

2.michelle disjunction

3. Watch conditional

Step-by-step explanation:

Michelle orders soup, or she orders salad; an example of disjunction combining 2 sentences with the word or.

The fireworks were loud and colorful; An example of conjunction which combines two statements with the word And

If the watch is broken, then it it showing the wrong time; An example of a statement with if then scenario.

I need this answered please

Answers

Answer:

The correct answer is 250/3phi m3

Look into the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Explain what the acronym PEMDAS means and how you use it when evaluating expressions.​

Answers

It mean Parentheses-exponents-multiplication/division-addition/subtraction and it is the order you do multi step equations

PLEASE HELP ME WITH THE BOTTOM TWO OMG

Answers

Answer:

Standard Deviation, σ: 8.9580641647762

Step-by-step explanation:

i used a calc for the first one

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