Answer:
720
Step-by-step explanation:
He has 8 books. He knows the placement of 2... so
8 - 2 = 6
To find the total... 6!
6*5*4*3*2*1 = 720
The required number of the ways the book is arranged on the shelf is 720 ways.
Given that,
Kareem is putting 8 books in a row on his bookshelf. He will put one of the books, Pride, and Prejudice, in the first spot. He will put another of the books, Little Women, in the last spot. In how many ways can he put the books on the shelf is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
There are 8 books to be arranged, 1st and last place is fixed,
now remaining books = 8 - 2 = 6
now, a number of combinations can be formed with the number 6,
= 6!
= 6×5×4×3×2×1
= 720
Thus, the required number of the ways the book is arranged on the shelf is 720 ways.
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pls help if you know how to answer it
Answer:
a = 1
Step-by-step explanation:
Adding 3 as x into the equation will give you 2(3) + y = 7. 3 x 2 = 6, so now the equation is 6 + y = 7.
Now subtract 6 from both sides of the equation to get y by itself, so you'll have y = 1.
CHECK:
2(3) + 1 = 7
6 + 1 = 7
7 = 7 ⇆
Step-by-step explanation:
2x+y=7
2×3+y=7
6+y=7
y=7-6
y=1
1. What would you think "11 more than a number" would look like if you wrote it as a function ( don't use spaces in answer and use x for variable)
Answer:
11+x
Step-by-step explanation:
Let the number be x
11 more than the more will be
11+x
. What is the sum of the first 4 multiples of 3?
Help HELP HELP HELP HELP
Answer:
the g.c.f is 44,46,
i not sure but hope it help
20 PTS + Brainliest. Please find the size of the blue area, explain your work.
here is answer, hope u understand:)
O
10 20 30 40 50 60 70 80 90
20. How far apart are Arthur and Jamie? Round
the nearest tenth of a meter.
-16
21. Who is closer to Cameron? Explain.
22. The soccer ball is located at the point (35,60
Who is closest to the soccer ball?
The distance between two points on the coordinate geometry is [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].
The distance between Arthur and Cameron is 45.3 mJamie is closer to Cameron than ArthurArthur is the closest to the soccer ballFrom the attachment, we have:
[tex]A = (20,35)[/tex] --- Arthur
[tex]J = (45,20)[/tex] -- Jamie
[tex]C = (65,40)[/tex] --- Cameron
The distance between Arthur and Cameron is:
[tex]AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]AC = \sqrt{(20- 65)^2 + (35 - 40)^2}[/tex]
[tex]AC = \sqrt{2050}[/tex]
[tex]AC = 45.3m[/tex]
Hence, the distance between Arthur and Cameron is 45.3 m
To determine the closest to Cameron, we simply calculate the distance between Cameron and Jamie
[tex]CJ = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]CJ = \sqrt{(45 - 65)^2 + (20 -40)^2}[/tex]
[tex]CJ = \sqrt{800}[/tex]
[tex]CJ = 28.3m[/tex]
By comparison, 28.3 m is less than 45.3 m.
Hence, Jamie is closer to Cameron than Arthur
Also, we have:
[tex]S=(35,60)[/tex]
To determine the closest to the soccer ball, we simply calculate the distance between each person and the ball using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]AS = \sqrt{(20 - 35)^2 + (35 - 60)^2} = \sqrt{850} =29.2[/tex] --- Arthur
[tex]JS = \sqrt{(45 - 35)^2 + (20 - 60)^2} = \sqrt{1700} =41.2[/tex] --- Jamie
[tex]CS = \sqrt{(65 - 35)^2 + (40 - 60)^2} = \sqrt{1300} =36.1[/tex] --- Cameron
By comparing the calculated values, 29,2 is the smallest.
Hence, Arthur is the closest to the soccer ball
Read more about distance at:
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solve each linear equation
solve for x
6x - 10 = -8 + 3x
[tex]6x - 10 = - 8 + 3x \\ 6x - 3x = - 8 + 10 \\ 3x = 2 \\ \\ x = \frac{2}{3} \\ \\ x = 0.6[/tex]
I hope I helped you^_^
Im pretty desprate! HELP ASAP!!!
Step-by-step explanation:
please help!!!!!!!!!! 25 points
Answer: 3.3 × 10⁹
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁴) × (1.1 × 10⁵)
Put like terms together
=3 × 1.1 × 10⁴ × 10⁵
Combine like terms
=3.3 × 10⁴⁺⁵
=[tex]\boxed{3.3*10^9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
3.3×10^9
Step-by-step explanation:
The cost of making a cheese cake is RM45. In
a day, Vivian can make p cheese cakes. Write a
formula of the total cost, K, in RM, of making
cheese cakes for 5 days.
Answer:
CHEESE
Step-by-step explanation:
SKDMALSD
write an inequality that represents the graph
Answer:
x is less than or equal to 4. Not sure how you would type that out on the slide though. :\
Step-by-step explanation:
Leedle Leedle Leedle
13)
According to Wikipedia, the common swift has a maximum horizontal speed of 111.6 km/h
Convert this speed to meters per second.
Speed in km/h=111.6km/h
[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 111.6km/h[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 111.6\times \dfrac{5}{18}[/tex]
[tex]\\ \rm{:}\twoheadrightarrow \dfrac{558}{18}[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 31m/s[/tex]
Answer:
31 m/sStep-by-step explanation:
We know that:
1 km = 1000 m1 h = 3600 sConvert:
111.6 km/h = 111.6 * 1000/3600 m/s =31 m/sFind the volume of this cube in cm³
Answer:
It is c: 15.625 cm³
Step-by-step explanation:
Formular for cube volumes:
[tex]{ \tt{volume = (side \times side \times side)}} \\ { \tt{v = (s_{1} \times s_{2} \times s_{3}) }}[/tex]
since sides of a cube are identical:
[tex]{ \sf{s_{1} = {s_{2} = {s_{3}}}}}[/tex]
Therefore:
[tex]{ \sf{volume = (250 \times 250 \times 250) \: mm {}^{3} }} \\ { \sf{v =15,625,000 \: {mm}^{3} }}[/tex]
but 1 mm³ = 0.000001 cm³
[tex]{ \sf{v = (15,625,000 \times \{1 \times {10}^{ - 6} \} ) \: cm}} \\ { \sf{v = 15.625 \: {cm}^{3} }}[/tex]
Solve for y. Simplify your answer as much as possible.
4=64/y
Answer:
y=16
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Re-order terms so that constants are on the left
Divide both sides of the equation by the same term
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
Answer:
y is 16
Step-by-step explanation:
[tex]4 = \frac{64}{y} [/tex]
but 64 is 4³:
[tex]4 = \frac{ {4}^{3} }{y} [/tex]
make y the subject:
[tex]y = \frac{ {4}^{3} }{4} [/tex]
from law of indices:
[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]
Write a proof. Given x = 2 = 3 (x - 4) Prove x = 5
Step-by-step explanation:
The equation in the question is false.
[tex]x - 2 = 3(x - 4)[/tex]
[tex]x - 2 = 3x - 12[/tex]
[tex]3x - x = 12 - 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 10 \div 2[/tex]
[tex]x = 5[/tex]
Point G bisects the line segment FH. The length of FG is 16 less than 3 times the length of GH. What is the length of FH?
Answer: FH = 16
PART IConcept:
Bisect means to cut or divide something into two equal parts.
In mathematics, usually bisect means cutting a segment or an angle.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
Given information
FG is 16 less than 3 times the length of GH
Let x be the length of GH
Given expression
FG = GH
Set equation
3x - 16 = x
Add 16 on both sides
3x - 16 + 16 = x + 16
3x = x + 16
Subtract x on both sides
3x - x = x + 16 - x
2x = 16
Divide 2 on both sides
2x / 2 = 16 / 2
x=8
--------------------------------------------------------------------------------------------------------------
PART IIConcept:
In order to find the length of FH, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
FG = GH = x
x = 8
Given expression deducted from the segment addition postulate
FH = FG + GH
Substitute values into the expression
FH = x + x
FH = 8 + 8
[tex]\boxed {FH=16}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
prove that : Cos 2A =cot^2-1/cot^2+1
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask question about it i am ready to give you answer.
The Rivera family bought a new tent for camping. Their old tent had equal sides of 10 feet and a floor width of 15 feet, as shown in the accompanying diagram. If the new tent is similar in shape to the old tent and has equal sides of 16 feet, how wide is the floor of the new tent?
Answer:
25.6 feet
Brainliest, please!
Step-by-step explanation:
10/16 = 16/x
5/8 = 16/x
5 = 128/x
x = 128/5
x = 25.6
The floor of the new tent is 24 feet wide.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Side of old tent = 10 feet,
And width of floor = 15 feet.
Let width of new tent is x feet.
To find the width of a tent whose side is 16 feet,
Use ratio and proportion property,
10/15 = 16/x
x = (16 × 15)/10
x = 240/10
x = 24 feet
The width of the floor of the new tent is 24 feet.
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helpppppppppppppppppppppppppppppppppppppppppp
Answer:
1) C. 8x + 2x = 10x2) z = 53) y = 104) x = 1/25) x = 176) C. 1/4x + 4 = 3Step-by-step explanation:1. C. 8x + 2x = 10x2. 3z - 2 = 133z = 13 + 23z = 15z = 53. -5y - 10 = -60-5y = -60 + 10-5y = -50y = 104. 4x - 5 + 2x = -24x + 2x = -2 + 56x = 3x = 1/25. x - 8/3 = 3x - 8 = 9x = 9 + 8x = 176. C. 1/4x + 4 = 3(1/4 × -4/1) + 4 = 3-1 + 4 = 3[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which multiple of 10 is closest to 18?
Answer:
I think it is 20
step by step explanation
Multiples of 10:-
10×1=1010×2=2010×3=3010×4=4018 is closest to 20
Hence our answer is 20
help, i will give u brainly. ASPA
Answer:
I need more information
Step-by-step explanation:
Jfjdkdjdjdndkdknskdd
Answer:
6, 24, 30, 48, 66
1, 4, 5, 8, 11
Step-by-step explanation:
Just by the first column we know that the scale ratio is 6. To find the second one we will multiply (6 * 4 = 24). To find the third one we will divide (30 / 6 = 5). To find the fourth one we will mulyiply (8 * 6 = 48). To find the fifth one we will divide (66 / 6 = 11).
Best of Luck!
Is 8.24 a rational number?
Answer:
8.24 is not a rational number
Step-by-step explanation:
The simple way to remember or find if the number is rational or not is that
* Rational numbers are always in the form of p/q and q should not be equal to zero
here u can even see 8.24 can be written as 8.24/0 so it is clearly showing that it is not a rational number
The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
Answer:
400cm²
Step-by-step explanation:
the surface area of the sphere =
4/3 x The total surface area of a hemisphere
=> 4/3 x 300 = 400cm²
AAAAAAAAAAHHHHHHHHHHHH
Answer:
[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]
Class 10 cbse
Q) Four years ago George was four times older than his daughter. After four years, George will be 2 years more than two times the age of his daughter. Find the present age of George and his daughter.
Please answer asap
Answer:
George Washington 67 and sister 63
Answer: 28
Step-by-step explanation:
Let the present age of George be = x years
and present age of her daughter is = y years
4 years ago,
George age be = x - 4
Daughter age be = y - 4
After four years,
George age be = x +4
Daughter age be = y+ 4
Substitute the value of x in equation 2
➡
Value of y put in equation 1
➡x= 28
So, the present age of George is 28 years and his daughter's age is 4 years.
Decide whether the represents a rational number or an irrational number. Explain how you know without simplifying.
The
represents
▼
an irrational number.
a rational number.
This is because the number
is
▼
a rational number
an irrational number
and the number
is
▼
an irrational number.
a rational number.
The of
▼
a rational number and an irrational number
two irrational numbers
two rational numbers
is
▼
an irrational number.
a rational number.
What is the value of n in the equation 3(4n+ 5) = -7n-23?
Answer:
n= -2
Step-by-step explanation:
3(4n+5)=-7n-23
expand brackets
12n + 15 =-7n-23
collect like terms
12n + 7n= -23-15
19n= -38
dividing throughout by 19
19n/19=-38/19
n= -2
Answer:
n = -2
Step-by-step explanation:
3(4n+5)= -7n -23
Distribute the 3,
12n + 15 = -7n -23
subtract 15 from both sides,
12n = -7n -38
add 7n to both sides,
12n + 7n = -38
simplify,
19n = -38
divide both sides by 19,
n = -2
Shelly charges$10 per hour for her babysitting services. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n= 12, evualte your expression using distributive property.
Answer:
10n+(10 x 15)
or
(10 x n)+150
either way it would be 270
When x apples are shared amongst y children,none are left over.Write down the number of apples each child receives
Answer:
[tex]\frac{x}{y}[/tex]
Step-by-step explanation:
Each child receives
number of apples divided by number of children, that is
each child receives [tex]\frac{x}{y}[/tex] apples