Answer:
6 different wallpapers
Step-by-step explanation:
Given
[tex]Colours = 27[/tex]
[tex]Textures = 14[/tex]
[tex]Total = 2268[/tex]
Required
Determine the number of different wallpapers he can choose from
From the question, he can choose 1 from 27 colors;
The number of ways is:
[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]
From the question, he can choose 1 from 14 textures;
The number of ways is:
[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]
Assume the total number of wallpapers is x and he can only select 1.
The number of ways of selection is:
[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]
So, the total selection is:
[tex]Colours * Textures * Wallpapers = Total[/tex]
[tex]27 * 14* x= 2268[/tex]
[tex]378* x= 2268[/tex]
Divide both sides by 378
[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]
[tex]x= \frac{2268}{378}[/tex]
[tex]x= 6[/tex]
Hence, the number of different wallpaper is 6
Midsegment- Find x (x+10)(x+2)
Answer:
Step-by-step explanation:
[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]
Sumaya is using two different strings of Christmas lights to decorate her house.one string flashes every 10 seconds.the other one string flashes every 15 seconds.when Sumaya turns on the lights they flashes at the same time.work out how long it will be before they flash again at the same time.use the LCM to help you work out your answer
Answer: 30 seconds
Step-by-step explanation:
From the question, we are informed that one string flashes every 10 seconds while the other one string flashes every 15 seconds.
The number of minutes that it'll take before they both flash again at the same time will be gotten by calculating the LCM of 10 and 15. This will be:
10 = 10, 20, 30, 40, 50 ...
15 = 15, 30, 45, 60, 75 ....
We can see that the lowest common multiple of 10 and 15 is 30. Therefore, the answer is 30.
They'll both flash again at same time in 30 seconds.
6 times a number is 27 less then the square of that number find the positive soloution
Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0
I NEED SERIOUS HELP I AM HAVING MATH EXAM SOON
PLEASEEEEEEEEEE HELP ME IM PREPARING WITH THE PPTS MY TEACHERS HAVE GAVE ME BUT THEY GAVE NO ANSWER AND IM NOT ABLE TO SOLVE THIS(I asked this before itself but never got an answer so with extra details I'm hoping I will get some answers) its my 4th time my first try no one answered so I put another one then I forgot to attach the photo and third time a person wasted your chances so this my 4th time BUT PLEASE HELP MEHHH
Answer:
Vertices are basically the point where 2 sides meet. In this shape the vertices are:
A, B and C
The sides are;
AB. BC, and CA
The angles are all 60°, this is because it is an equilateral triangle (all the sides seems to be equal)
Of those who like to fish, what percent are ages 13-18?
Answer:
B.) 42.9
Step-by-step explanation:
The percent that we are trying to find out is 12/28
I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)
Anyways 12 divided by 28 = 42.857etc.
If we simplify this then that gives us our answer of B.) 42.9
Expand :
x(x + 7)
please help
Answer:
[tex]it \: is \: \: \: \: {x}^{2} + 7x[/tex]
Step-by-step explanation:
I hope this is be useful for you ^_^
Expand x(x+7)
SOLUTION:▶️x(x+7)
▶️x² + 7
▶️7x²
ANSWER:▶️7x²
The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?
Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Write a System of Equations to solve the following problem:
The school that Maria goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 12 student tickets for a total of $51. The school took in $93 on the second day by selling 5 senior citizen tickets and 6 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Cost of Senior Citizen Ticket: $
Cost of Student Ticket: $
Answer:
Cost of Senior Citizen Ticket: $15
Cost of Student Ticket: $3
Step-by-step explanation:
Let the price of a senior citizen ticket be s.
Let the price of a student ticket be t.
Day 1:
s + 12t = 51
Day 2:
5s + 6t = 93
The system of equations is:
s + 12t = 51
5s + 6t = 93
Let's use the substitution method to solve it. Solve the first equation for s.
s = 51 - 12t
Now substitute s in the second equation with 51 - 12t.
5s + 6t = 93
5(51 - 12t) + 6t = 93
255 - 60t + 6t = 93
Subtract 255 from both sides. Combine -60t and 6t.
-54t = -162
Divide both sides by -54.
t = 3
Now substitute 3 for t in the equation
s = 51 - 12t
s = 51 - 12(3)
s = 51 - 36
s = 15
Answer:
Cost of Senior Citizen Ticket: $15
Cost of Student Ticket: $3
please help its hard btw
Answer:
4213
Step-by-step explanation:
go to the numbers that pop out and do it backwards.
pls help!! and show your work. i'm confused on it
Answer:
2.3×10/10=23/10=2 3/10 is mixed number
image inserted below
Answer:
you forgot the attachment
Step-by-step explanation:
...
HELP, this is really hard and i’m struggling
Answer:
B or 2
Step-by-step explanation:
Because 2 and 4 are alternative interior angles that means that they are equal, but on the inside of the traversal (Parallels AB and CD)
Hope this helped :)
Answer:
it should be angle 2 and 4
Step-by-step explanation:
since 2 and 4 are interior angles they are the same and congruent so they have to be equal for the line to be parallel
PLz Welp.............................
9514 1404 393
Answer:
No
Step-by-step explanation:
If the relationship were proportional, the ratio of y to x would be a constant.
y/x = 3/1 ≠ 7/3
x and y are not proportional.
f(x) = 10(1/2)x is it linear, exponential or neither
Answer:
It is a linear.
Step-by-step explanation:
Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.
find a number whose 6 1/4% is 12
Answer: The number is 192
Step-by-step explanation:
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false?
Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.
B.Time is a function of distance. is the answer ot the question
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false?
Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.
Please help will give brainlest
A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?
Answer:
D, 180.
Step-by-step explanation:
2400 divided by 200 is 12, which means 2400 is 12 times 200
Next, times 15 by 12 which is 180.
Given angle 1 and angle 2 are linear pair; mangle 1 =120 degrees prove angle 2 is acute
Answer:
angle a + angle b has to equal 180
Step-by-step explanation:
180-120=60
Which one of the following statements is true?
a. 15 > 13 and 3 is even
b. 2 is prime or 1>5
C. 7 is even and 5 X 2 = 2
d. 3 37 and 2 + 3 + 5
Answer:
A
Step-by-step explanation:
Because the gravity of the earth
Answer:
d
Step-by-step explanation:
but i think none of the sentences is true
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $
The total cost is $
Answer:
Tax = $2.00, cost of item = $52.00
Step-by-step explanation:
Multiply 50(.04) = $2.00, then add $50 + $2 = $52
Answer:
Sales tax 2.00, Total cost=52.00
Step-by-step explanation:
50 x .04=2 sales tax
50+2=52 total price
How many square inches are in 60 square feet?
5 square inches
72 square inches
720 square inches
8,640 square inches
Answer:
8,640
Step-by-step explanation:
One foot is 12 inches, so a square foot would be 144 inches (12×12 -> l×w) So, you would multiply 60 by 144, and you would get 8,640 square inches.
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.
The value of tan∠A form the right angled triangle ABC is 1.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:
tan∠A = (tan∠B)⁻¹ = 1
The value of tan∠A form the right angled triangle ABC is 1.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Help????? 5 rate its due at 8:00 hehee.....
A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car is 32°. The building is 200 feet away. How tall is the building? Round to the nearest foot.
A diagram of a swimming
pool is below. The width of
the pool is 25 m, find the
length of the actual pool?
7.5 cm
15 cm
Find the circumference and the area of a circle with radius 6 km.
Write your answers in terms of it, and be sure to include the correct units in your answers.
Answer:
Circumference: 12pi or 37.7
Area: 36pi or 113.1
Step-by-step explanation:
C = 2(pi)r
C = 2 * pi * 6
C = 12pi or 37.7
A = (pi)r^2
A = pi * 6^2
A = 36pi or 113.1
2. What does Decay means?
O To increase more and more.
O To get lesser and lesser.
O To multiply.
O To get higher.
PLEASE HELP IM GONNA FAIL WILL GIVE BRIANLESS
Answer:
8) 1,965,600 passwords
9) 1/8
Step-by-step explanation:
8) 9 · 8 · 7 · 6 ·26 ·25 = 1,965,600
9) 1/2 · 1/2 · 1/2 = 1/8
A shirt is on sale for $15.75. This is 15% off the original price. What was the original price of the shirt?
$18.11
$13.39
$17.25
$18.53
Divide sale price by (1 - percent of discount):
15.75 / (1- 0.15) =
15.75 / 0.85 = 18.53
Answer = $18.53
Answer:
18.53
Step-by-step explanation:
18.53*0.15≈2.7795
Rounded = 2.78
18.53-2.78=15.75