Answer:
48 ways
Step-by-step explanation:
Given
[tex]Girls = \{Ava, Cara, Emma, Lily, Mia\}[/tex]
[tex]Together= \{Emma, Lily\}[/tex]
Required
Determine the number of sitting arrangements
The number of girls are 5, of which 2 must be seated together.
First, Emma and Lily can be arranged in 2! ways
Next, we consider Emma and Lily as one, so there are (5 - 1) girls left to be arranged.
This can be done in (5 - 1)! ways
Total number of ways is then calculated as:
[tex]Ways = 2! * (5 - 1)![/tex]
[tex]Ways = 2! * 4![/tex]
[tex]Ways = 2 * 1 * 4 * 3 *2 * 1[/tex]
[tex]Ways = 48[/tex]
Hence, there are 48 ways
The possible ways in which Ava, Cara, Emma, Lily, and Mia are to be seated together in a row, while Emma and Lily sit next to each other are 48 ways.
Given to us;
Number of girls = {Ava, Cara, Emma, Lily, and Mia} = 5 girls,
Also, Emma and Lily must sit next to each other, therefore, considering them as a single person,
The choices we are left with = {Ava, Cara, Mia, (Emma, Lily)} = 4 person;
We know to calculate the number of ways people can sit is given by n! (n factorial), where n is the number of person. Thus,
different ways this 4 person can sit = n!
= 4!
= 4 x 3 x 2 x 1
= 24 ways
Further, as given in the question Emma and Lilly must sit together but they can change sits within themselves, So,
different ways Emma and Lilly can sit = n!
= 2!
= 2 x 1
= 2 ways
Therefore, the total number of ways all 5 girls can sit together in which Emma and Lilly will be always seated together,
Total ways all can sit together = 24 x 2
= 48 ways
Hence, the possible ways in which Ava, Cara, Emma, Lily, and Mia are to be seated together in a row, while Emma and Lily sit next to each other are 48 ways.
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Need help 15 points
Answer:
correct answer is d....
Answer:
d (22)^40 +(-7)^40 its very easy
1)! (b) Complete the table of values for y = 3x + 1.
Please help ❤️
Answer:
y = -2, 1, 4, 7 (in order)
Step-by-step explanation:
Plug in the value of x into the equation to find y.
For example for -1, plug in x as -1 into the equation.
y = 3(x) +1
y = 3(-1) + 1
y = -2
Similarly plug in the x to find the rest of the values for y.
Solve and check: 40 = 1.6(d - 2)
Step-by-step explanation:
40=1.6d-3.2
43,2=1.6d
27=d
PLZ HELP WILL GIVE BRAINLEST
Answer:
it's the fourth one i did that assignment aswell
Is x = 1/2 a solution of the equation above. 3( x + 1) = 3x
or,3(1/2 +1)=3/2
or,3/2+3=3/2
or,(3+6)/2=3/2
or,9/2=3/2
3.5 as a mixed number.
Answer:
3 and 1/2
Step-by-step explanation:
Mixed numbers are numbers with one whole number and a fraction.
Answer:
3 1/2
Step-by-step explanation:
well 3.5 in fraction form is 3 1/2.
the 5 is the 1/2 because 5/10 is half of 10 an 5/10 is equivalent to 1/2 sooo
3 1/2
13x - 12
B
E
(7x-6)
А
F
What is the value of x?
X=
Answer:
1
Step-by-step explanation:
13x-12=7x-6
A line passes through the points ( - 9, - 24) and (8, – 9).
Calculate the slope of the line. Write your answer as a fraction.
(If the slope is undefined, enter "DNE")
Answer:
15 / 17
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
= (-9 + 24) / (8 + 9)
= 15 / 17
To make a certain shade of paint, an
artist needs to mix yellow paint with
blue paint at a ratio of 3 to 5.
w
He needs 32 ounces of paint.
How much yellow paint should he buy?
PLEASE HELP Mrs. Felley has 64 student. 3/4 of her students made an A on their exam. How many of Mrs. Kelley's students made an A on their exam. How many of Mrs. Kelley's students made an A on their exam.
Answer:
.75 because
Step-by-step explanation:
3/4= 75%
75% divided by 100 = .75
Add. Write your answer in the simplest form.
5 1/5 + 4 3/5 PLZZZ HURRY
10 1/5
9 2/5
10 4/5
9 4/5
Answer:
9 4/5
Step-by-step explanation:
X3+x2+x+1 by grouping
Answer:
[tex]x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]x^3+x^2+x+1[/tex]
Factorized by grouping
[tex]x^3+x^2+x+1=\left(x^3+x^2\right)+\left(x+1\right)[/tex]
Factor out x² from x³+ x²: x²(x+1)
[tex]=\left(x+1\right)+x^2\left(x+1\right)[/tex]
[tex]=\left(x+1\right)+x^2\left(x+1\right)[/tex]
Factor common term x+1
[tex]=\left(x+1\right)\left(x^2+1\right)[/tex]
Therefore, we conclude that:
[tex]x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)[/tex]
may run 6 miles in 54 minutes how long will it take her to run 10 miles
Answer:
90 minutes or an hour and a half
Step-by-step explanation:
You need to find out how many minutes it takes her to run one mile, to do that you devide 54 by 6 and you get 9 minutes. Then you multiply the number of minutes per mile, 9, by 10 and you get 90 minutes.
knowing that concentration of solutions of medications can be expressed as percentage, what percentage is a solution that's 20g of medication per 100 ml solution?
Answer:
20%
Step-by-step explanation:
The percentage of the concentration can be calculated by dividing the amount of solute by the total amount of the solution. In this case the solute would be the 20g of medication while the total solution amount is 100ml. Therefore, we divide these two values like so...
20 / 100 = 0.20
This is the percentage in decimal form, we can now multiply it by 100 to get the percentage value (which in this scenario is simply reversing the previous division)
0.20 * 100 = 20%
A farmer plans to fence a rectangular garden next to a river. There will be no fence along the river side. Draw a picture of this situation. The pasture will contain 405,000 square meters. Find the dimensions of the garden that will require the least amount of fencing.
Answer:
x = 450 m
y = 900 m
P (min) = 1800 m
Step-by-step explanation:
Let´s call "x" and "y" de sides of the rectangular garden, y is the side parallel to the river ( that is it will be fenced only one )
Then:
2*x + y = P ( perimeter of the area)
And x * y = 405000 m²
y = 405000/ x
And P as a function of x is:
P(x) = 2*x + 405000/x
Tacking derivatives relative to x on both sides of the equation.
P´(x) = 2 - 405000/x²
P´(x) = 0 2*x² - 405000 = 0
x² = 202500
x = 450 m
And y = 405000 / 450
y = 900 m
And
P(min) = 2*450 + 900
P(min) = 1800 m
We know P is minimm at x =450 snce the second derivative of P
P´´(x) = 405000*2*x / x⁴ is always positive
determine whether (8,5 a solution of the equation y=15x-14)
Answer:
no, It isnt
Step-by-step explanation:
45% of 45 is (Explain ur method)
Answer: 20.25
Step-by-step explanation: All you need to do is multiply 45 by 45%. 45% can be represented by 0.45, 45/100, or just 45%. You answer should be 20.25. Hope this helps!
45 percent of 45 is 20.25.
To calculate 45% of 45, we can multiply 45 by the decimal representation of 45%.
45% can be written as 0.45 (since percent means "per hundred" or "out of 100").
45 × 0.45 = 20.25
Therefore, 45% of 45 is 20.25.
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Alright I really need help and this question is going to give you alot of ponits so let do it also its due in 20min!!!!!!! Ok so Five cats each ate 1/4 cup of canned food and 1/4 cup of dry food. How much food did they eat altogether? Please don't spam me and get the answer right because as soon as I get a reply then i will put that answer on the page
Round 6,532 to the nearest thousands
Answer:
7,000
Step-by-step explanation:
Answer:
7000
Step-by-step explanation:
the hundreds is 5 so the 6 is turned into a 7 and the rest become 0, 5 or more let it soar, 4 or less let it rest or something
Helpppppp meeee please and thank you
Answer:
The bigger the number the more obtuse it is and the smaller the number is the more acute is
Step-by-step explanation:
Please help .......You are guaranteed a minimum salary of $2000 per month PLUS 5.75% 5 points
of total sales. What is your gross pay for a month in which total sales are
$80,000 ?*
1.2000
2.$6600
3.$2460
4.$48,000
5.$4600
Answer:
6600
Step-by-step explanation:
0.0575*80000=4600
4600+minimum salary which is 2000=6600
(can I get brainliest please)
A 12 foot tall building casts a 9 foot long shadow. How long of a shadow will a 5 foot tall woman have?
6.66 feet
6.66 feet
3.75 feet
3.75 feet
2 feet
2 feet
Answer:
22feet11111111111111dddddd
Answer:
Step-by-step explanation:
It is 3.75
Organic apples
are priced at
$8.97 for 3 pounds. What is the
the price per pound?
Answer:
The answer is $2.99
Step-by-step explanation:
8.97/3=2.99
Answer:
the answer is 2.99
Step-by-step explanation:
because
8.97 divided by 3 = 2.99
Could someone help with this math problem I will cashapp you !
Answer: 203.65
Step-by-step explanation:
subtract those checks from his starting balance
Group C
(4 x 6 = 2
17. If the cost of 8 book is Rs 520, find the cost of 10 books.
cost of 8 books = 520 AED
we can do this using direct proportion
8/520 , 10/x
(cross multiply
= 8x = 520 x 10
= 8 x 5200
x = 5200/8
x = 650 AED
therfore,
cost of 10 books is 650.
Select all the numbers that have an even number of factors.
8,9,15,16,25
The numbers having an even number of factors are 8 and 15.
What are factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
The given numbers are 8, 9, 15, 16, and 25.
Factors of 8 are 1, 2, 4, and 8.
Factors of 9 are 1, 3, 9.
Factors of 15 are 1, 3, 5, 15.
Factors of 16are 1, 2, 4, 8, 16.
Factors of 15 are 1, 5, 25.
Of which 1 and the number itself are improper factors.
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need the answer showing work thank you.
Answer:
6 without repetition
27 with repetition
Step-by-step explanation:
without repetition, you have 3 digits to choose from initially, then only 2, then only one, i.e.:
3×2×1 = 6
with repetition, you have 3 digits to choose from for every spot:
3×3×3 = 27
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall
Answer:
did you find the answer ??
The required height of the wall where the ladder meets the wall is 12 m.
Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12
Thus, the required height of the wall where the ladder meets the wall is 12 m.
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Aboard 22 cm long is cut into two pieces. One piece is 4 cm longer than twice the length of the other piece. Find the length of each piece
Answer:
Length of one piece = 6 cm
Length of second piece = 16 cm
Step-by-step explanation:
Total Length of board = 22 cm
The board is divided into 2 pieces.
Let length of one piece = l
Length of second piece = 2l + 4
We need to find length of both pieces.
We can write the equation:
Total length = Length of one piece + Length od second piece
Putting values and finding length
[tex]22 = l+(2l+4)\\22=l+2l+4\\22=3l+4\\3l=22-4\\3l=18\\l=\frac{18}{3}\\l=6[/tex]
So, we get l= 6
Length of one piece = l =6 cm
Length of second piece = 2l + 4 = 2(6)+4 = 12+4 = 16 cm
Therefore,
Length of one piece = 6 cm
Length of second piece = 16 cm
6.
It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains its
maximum value on the interval [0, 2]. Find the value of a.
Answer:
The value of a is 120.
Step-by-step explanation:
Given function;
f(x) = x⁴ - 62x² + ax + 9
find the derivative of the function;
f'(x) = 4x³ - 124x + a
The function (f) attains its maximum value on the interval [0, 2], at x = 1.
f'(1) = 0
0 = 4(1)³ - 124(1) + a
0 = 4 - 124 + a
0 = -120 + a
120 = a
Thus, the value of a is 120.