The word EVERGREEN can be arranged in the following manner.
What is Arrangement?The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.
Step 1: When there are no restrictionsThe letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.
But letter 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 9!/(4!×2!) = 7560.
Step 2: When the first letter is R and the last letter is GAs, first and last letter are fixed for R and g respectively.
Thus the total positions left are 7! with 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 7!/(4!×2!) = 105.
Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.The total combination for arrangement is 7560.
But when all 4 E's are kept together its gives 4! = 24.
Therefore, the total combination becomes 7560×120 = 181440.
Step 4: When the number of selections which contain no Es and exactly 1 R.As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter
Thus, the total combination becomes 4! = 24.
Step 5: The number of selections which contain no Es.The total letter left after the removal of all 4 E's is 5 with times repetition of R.
Therefore, the total combination will be 5!/2! = 60.
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I have less than 100 tennis balls. When i put them in tubesof 8, I have 5 left over.when i put them in tubes of 11 i have 3 leftover. How many tennis balls do i have in totals
Answer:
69
Step-by-step explanation:
8's 8's+5 11's 11's+3
8 13 11 14
16 21 22 25
24 29 33 36
32 37 44 47
40 45 55 58
48 53 66 69
56 61
64 69
What is the total number of possible four-card poker hands if the hand contains exactly one heart?
Answer:
Step-by-step explanation:
Assuming no wild cards ie. 52 card deck.
13 ways to fill the heart card
39 ways to fill the second card
38 ways to fill the third card
37 ways to fill the fourth card
13(39)(38)(37) = 712,842
Proportional Relationships Homework
1. A nutrition company is marketing a low-caloric snack brownie. A serving size of the snack is 3 brownies
and has a total of 50 calories.
(c) Determine how many calories 14 brownies
would have. Round to the nearest calorie.
(d) If c represents the number of calories and b
represents the number of brownies, write a
proportional relationship involving c and b and
solve it for c.
Proportional relationships are used to represent direct variation
The number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]
Let b represents brownies and c represents calories.
So, the relationship is given as:
b : c = 3 : 50
Express as fractions
[tex]\mathbf{\frac bc = \frac{3}{50}}[/tex]
Multiply both sides by c
[tex]\mathbf{b = \frac{3}{50}c}[/tex]
When the number of brownies is 14, we have:
[tex]\mathbf{14 = \frac{3}{50}c}[/tex]
Multiply both sides by 50/3
[tex]\mathbf{14 \times \frac{50}{3} = c}[/tex]
[tex]\mathbf{233 = c}[/tex]
Rewrite as:
[tex]\mathbf{c = 233 }[/tex]
Make c the subject in [tex]\mathbf{b = \frac{3}{50}c}[/tex]
[tex]\mathbf{c = \frac{50b}{3}}[/tex]
Hence, the number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]
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Solve for x:
Yeah can't come in3x+7x=10x
Answer:
#happy learningStep-by-step explanation:
#brainly phhelp me with this calculation
(X-1).(1-x)
[tex](x-1) (1-x)\\\\=(x-1)(-1)(x-1)\\\\=-(x-1)^2\\\\=-(x^2- 2x +1)\\\\=-x^2+2x-1[/tex]
Select the correct answer.
if g(x) =f(1/3x), which statement is true?
If
Answer:
The statement is true because local maximum exists at x =
Step-by-step explanation:
Answer:
if g(x) =f(1/3x), then both g(x) and f(1/3x) will be considered as same function.
Step-by-step explanation:
whats the answers can anyone answer this question please
Answer:
1. B
2. A
Step-by-step explanation:
1.
10^{-2} means that you move the decimal back two times
B is the only option that represents that correctly.
2.
5 * 10^{4} = 50000
2.5 * 10^{2} = 250
50000/250 = 200
Out of the options, A is the only option in which the equation also equals 200.
need help with this question
Answer:
Between 6 & 7
Step-by-step explanation:
The square root of 45 is 6.7. So it'll be between 6 & 7.
A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now
Answer:
$15
Step-by-step explanation:
12+3+15
Answer:
Bill Amount: $12
Tip Percent: 25%
Divide By: 1
= $15
Which expression represents Sushmila's total cost for the supplies 3p-5+2s
3p+2(s-5)
3(p-5+2s)
3(p-5)+2s
Answer: its a
Step-by-step explanation: its the same answer
Answer: the answer is 3(p - 5) + 2s
Step-by-step explanation:
its the only answer there that makes since and hope this helps im kinda bad at algebra but this was easy
2(5-2)^2. what is the answer please explain no link.
9 Use the ALEKS calculator to write as a percentage. 9.64 Round your answer to the nearest tenth of a percent. % ?
Answer:
964%
When rounded, answer will be 960%.
How do you figure out a missing number in an input and output table?
Answer:
- we can find the slope of the equation for the table and then plug in values into y = mx+b to find the full equation
Step-by-step explanation:
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on he first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
n x¯¯¯ s x¯¯¯ s x¯¯¯ s
Coached 427 500 92 529 97 29 59
Uncoached 2733 506 101 527 101 21 52
Construct, using the conservative estimate for degrees of freedom, a 98% confidence interval for the difference, μc−μu between the mean gain of all students who are coached and the mean gain of all students who are uncoached.
Item 2
Which equation represents this sentence?
Twice the difference of 0.75 and a number is−3.
2(n−0.75)=−3
2(0.75−n)=−3
2n−0.75=−3
0.75−2n=−3
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
twice means to multiply by 2
difference means to subtract, difference of 0.75 and a number is 0.75-n (n representing unknown number)
equals -3
Hope this helps!
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
it's B
Give the slope of each of the following lines Name a point on each line
y+2=2/3 (x-4)
Answer:
See answer below
Step-by-step explanation:
y + 2 = 2/3(x - 4)
y + 2 = 2/3x - 8/3
y = 2/3x - 8/3 - 2
y = 2/3x - 2 2/3 - 2
y = 2/3x - 4 2/3 or y = 2/3x - 14/3
Slope = 2/3
The value of the slope of the line is 2/3.
Used the concept of the equation that states,
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Given that;
The equation of the line,
y + 2 = 2/3 (x - 4)
Now comparing the given equation of the line with the equation of a line in point-slope form,
y + 2 = 2/3 (x - 4)
y - (- 2) = 2/3 (x - 4)
Therefore, the slope of the line is 2/3
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shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change
Answer:
8% decrease
Step-by-step explanation:
50 x 2 = 100
46 x 2 = 92
100 - 92 = 8
Given that m||n, find the value of x.
Answer:
[tex] \boxed{ \sf{x = 65 \degree}}[/tex]
Step-by-step explanation:
In the given figure we have two corresponding angles.
We know that corresponding angles are equal to each other
So,
2x+5 = 1352x = 135 - 52x = 130x = 130/2x = 65Therefore, x = 65°
Corresponding angles are same
[tex]\\ \sf\longmapsto 2x+5=135[/tex]
[tex]\\ \sf\longmapsto 2x=135-5[/tex]
[tex]\\ \sf\longmapsto 2x=130[/tex]
[tex]\\ \sf\longmapsto x=130/2[/tex]
[tex]\\ \sf\longmapsto x=65°[/tex]
2x+3-3=-6
x=3 ? Solve
[tex]2(x)+3-3=-6\\2(3)+3-3=-6\\6+3-3=-6\\6=-6\\[/tex]
[tex]x\neq 3[/tex]
As we can see, x cannot be equal to 3 as 6 cannot equal -6.
I hope I've helped! :)
patrick is thinking of a number. his number is twice as large as the smallest number that rounds to 30 when rounding to the nearest ten. what is patrick’s number?
g^x+1 =27 solve for x
Answer:x=-3.5
Step-by-step explanation:
Find the value of a when b = 7 and c = 6 in the formula a=(b+c) - 2.
Answer:
a = 11
Step-by-step explanation:
a = (7+6) - 2
a = 13 - 2
a = 11
Which point would not be on the graph of the function y=+5?
Answer:
Any point that does NOT have a positive 5 in the y position
17. Which of the following numbers is the largest. Explain why you made the choice you did.
-3/4, -3/2,-1, -2/3
Answer:
3/1
Step-by-step explanation:
because why not
what is 11.10 as a fraction?
Answer:
11 1/10
Step-by-step explanation:
11 is a whole nuber so then 1 over 10
Answer:
It is 11 1/10!
Step-by-step explanation:
I know this because the first thing to do here is to show you that any number can be a fraction if you use a 1 as the denominator. What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 10. To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea! In our case 10 is 2 digits long so we need to multiply the numerator and denominator by 100. Now we just need to do that multiplication to get our whole fraction! The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)Highest Common Factor (HCF)Greatest Common Denominator (GCD)In the case of 1110/10 and 100/10, the greatest common divisor is 10. This means that to simplify the fraction we can divide by the numerator and the denominator by 10 and we get 111/10. And there you have it! In just a few short steps we have figured out what 11.10 is as a fraction. 11 1/10!
Orly uses
2 cups of raisins for every
8cups of trail mix she makes. How many cups of trail mix will she make if she uses
10 cups of raisins?
Answer:
40 cups of trail mix should be used. but this doesn't seem like a college-level question?
Question
Given that the market basket for gardening was $\$131.17$ last year and $\$131.96$ this year, what was the inflation rate?
(Round your answer to the nearest hundredth of a percent.)
Answer:
0.006%
Step-by-step explanation:
minused old price from the new one and then divided the answer by the old price
How many integers between 50 000 and 60 000 are squares of integers?
Perfect squares are the squares of integers
There are 990 integers between 50000 and 60000 that are squares of integers
There are 1000 perfect squares, and 100 perfect cubes between 1 and 1000000
This is because:
[tex]\mathbf{100000 = 1000^2 = 100^3}[/tex]
Rewrite as:
[tex]\mathbf{100000 = x^2 = y^3}[/tex]
Where x lies between 1 and 1000, and y lies between 1 and 100.
If y^3 is a perfect square, then y is a perfect square
List out the perfect squares from 1 to 1000
[tex]\mathbf{y = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}[/tex]
Take the cube of these numbers
[tex]\mathbf{y^3 = 1^3, 4^3, 9^3, 16^3, 25^3, 36^3, 49^3, 64^3, 81^3, 100^3}[/tex]
[tex]\mathbf{y^3 = 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000}[/tex]
So, the count of numbers that are perfect squares and perfect cubes between 1 and 1000000 is 10.
The count of integers between 50000 and 60000 that are squares of integers is:
[tex]\mathbf{n = x -10}[/tex]
Substitute 1000 for x
[tex]\mathbf{n = 1000 -10}[/tex]
[tex]\mathbf{n = 990}[/tex]
Hence, there are 990 integers between 50000 and 60000 that are squares of integers
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PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
In 2020, Puerto Rican rapper Bad Bunny claimed the top spot of most streamed artist globally on SPOTIFY, with more than 8.3 billion streams (8,300,000,000) this year from fans around the globe. His album YHLQMDLG—released in late February 2020, featuring collaborations with Sech, Anuel AA, and Daddy Yankee—is the number one streamed album as well. Calculate the profit earned using these numbers. (Hint: Use the slope intercept format to build this equation. Also, remember one unit = one thousand streams).