The arrangement of the blocks is an illustration of permutation and combination
The number of possible arrangement is 27720 ways
How to determine the number of arrangementsThe given parameters are:
n = 12
Black = 6
Red = 4
White = 1
Blue = 1
The number of possible arrangement is then calculated as:
[tex]Ways = \frac{12!}{6!4!1!1!}[/tex]
Evaluate the factorials
[tex]Ways = 27720[/tex]
Hence, the number of possible arrangement is 27720 ways
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Write an equation for the sentence below.
The sum of three times a number (x) and -23−23 is 2828.
Answer:
3x - 23 = 2828
Step-by-step explanation:
I'll assume the question is supposed to read "The sum of three times a number (x) and −23 is 2828."
"three times a number (x)" can be written as 3x
"sum of three times a number (x) and −23" means 3x - 23
"is 2828" = 2828
Put them together:
3x - 23 = 2828
==================
Not part of the question
If you want to solve for x:
3x = 2805
x = 935
I need to know the answer and quick please.
irrational number: cannot be expressed as a simple fraction
a. [tex]\tt 2-\sqrt{3}:irrational[/tex]
b. [tex]\tt \sqrt{2}\times \sqrt{3}=\sqrt{6}:irrational[/tex]
c. [tex]\tt \sqrt{27}\times \sqrt{3}=\sqrt{81}=9:rational[/tex]
d. [tex]\tt =0\sqrt{7}=0:rational[/tex]
Find the coordinates of B, C, and D given that AB=5 and BC = 10
Answer:
B = (3, -5)
D = (0, -1)
C = (3, 5)
Step-by-step explanation:
We want to find the coordinates of B, C, and D given that AB = 5 and BC = 10.
Because AB = 5 and BC = 10, we can find the slope of the line using the slope formula:
[tex]\displaystyle \begin{aligned} m & = \frac{\Delta y}{\Delta x} \\ \\ & = \frac{(10)}{(5)} \\ \\ & = 2 \end{aligned}[/tex]
Point A(-2,-5) is on the line. Hence, the equation of the line is:
[tex]\displaystyle \begin{aligned} y-y_1 &= m(x-x_1) \\ \\& = y-(-5) = 2(x-(-2)) \\ \\ y + 5 & = 2x+4 \\ \\ y & = 2x-1 \end{aligned}[/tex]
Because AB is 5, B is simply A shifted rightwards five units. Hence:
[tex]\displaystyle B = (-2+5, -5) = (3, -5)[/tex]
At Point D, x = 0. Hence:
[tex]\displaystyle y = 2(0) -1 = -1[/tex]
Thus, D is at (0, -1).
B and C are collinear. Hence, the x value of C is 3:
[tex]\displaystyle y = 3(2) - 1 = 5[/tex]
Therefore, C is at (3, 5).
3147 divided by 5 with quotient and remainder?
Answer:
629r2
Step-by-step explanation:
Hope this helped!
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
I believe it is 12 I can't remember fully but I know I've done this before
And if you can right now please give brainliest!
Answer:
6
Step-by-step explanation:
Once again I'm not going to explain in-depth as it is the same method as the other questions I explained!
Step 1:
16/8=2
Step 2:
12/2=6
Therefore the missing AC side should be 6 because the triangles use a factor of 2!
Find perimeter . Simplify your answer
Answer:
perimeter of triangle=sum of all three sides
Step-by-step explanation:
[tex]( {2y}^{2} - {2x}^{2} ) + ( {y}^{2} - {x}^{2} + 11 ) \\ + ( {5x}^{2} - {2y}^{2} - 12)[/tex]
[tex] {2y}^{2} + {y}^{2} - {2y}^{2} + {5x}^{2} - {x}^{2} - {2x}^{2} + 11 - 12[/tex]
Hope it helps you<3[tex] {y}^{2} + {2x}^{2} - 1[/tex]
If you deposit $320 at a 10% interest rate and will not make any additional deposits or withdraws, how much will you have at the end of 4 years?
Answer:
$468.582
Step-by-step explanation:
Hope this helps! Please mark me as brainliest so I can level up :)
helpppppooooooppooopp
Answer:
13 units
Step-by-step explanation:
-25, -12
|-25| - |-12|
13 units
Hope it helps! :)
Estimate 1 3/4+4 7/8 to the nearest whole number.
PLS HELP!! I WILL GIVE BRAINLIEST :)
Here is a number puzzle.
Fill in each blank with a number so that every row,
column, and diagonal adds up to the same total.
Answer:
See the attached table.
Step-by-step explanation:
Each row, column, and diagonal all add up to six.
[tex]\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right][/tex]
Hope that helps!
Answer:
*
Step-by-step explanation:
9 -5 -4 6
-2 4 3 1
2 0 -1 5
-3 7 8 -6
help
There are 230 milliliters of water in a beaker. How many liters are in the beaker?
A. 0.023 L
B. 230 L
C. 2.3 L
D. 0.23 L
In what real-world scenario do we use systems of equations?
1.What twenty-first century task does this tool help us manage? Explain how your tool is used for this task.
2. In what field or career would your tool be useful for and how? Please explain.
The systems of equations are known to be complex. We often use systems of equations in real-world scenario such as when calculating or thinking if one will make more money at one job than the other, here we look into variables such as wages, benefits and commissions, etc.
What twenty first century tasks systems of equations handles?They are used to calculate the amount of tax that is charge to people. They also help man to measure and understand the real- world situations and happenings.
The field or career that Equations are known to be widely used are the engineering profession. Chemical engineers, civil engineers, electrical engineers, etc. often uses it in construction of building, lighting a place, etc.
The Systems of equations are often applied in the real world by economists and entrepreneurs to known the time of equality of supply and demand.
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Solve for the variable and express the answer in set notation.
|5x - 4|= 11
Hey there!
ORIGINAL EQUATION
|5x - 4| = 11
~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #1
5x - 4 = 11
ADD 4 to BOTH SIDES
5x - 4 + 4 = 11 + 4
CANCEL out: -4 + 4 because it gives you 0
KEEP: 11 + 4 because it help solve for the x-value
NEW EQUATION: 5x = 11 + 4
SIMPLIFY IT!
5x = 15
DIVIDE 5 to BOTH SIDES
5x/5 = 15/5
CANCEL out: 5/5 because it gives you 1
KEEP: 15/5 because it help solve for the x-value
NEW EQUATION: x = 15/5
SIMPLIFY IT!
x = 3
~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #2
5x - 4 = -11
ADD 4 to BOTH SIDES
5x - 4 + 4 = -11 + 4
CANCEL out: -4 + 4 because it gives you 0
KEEP. -11 + 4 because it help solve for the x-value
NEW EQUATION: 5x = -11 + 4
SIMPLIFY IT!
5x = -7
DIVIDE 5 to BOTH SIDES
5x/5 = -7/5
CANCEL out: 5/5 because it gives you 1
KEEP: -7/5 because it help solve for the x-value
NEW EQUATION: x = -7/5
SIMPLIFY IT!
x = -7/5
~~~~~~~~~~~~~~~~~~~~~~~
ANSWER
x = 3 or x = -7/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
You select a marble without looking and then put it back. If you do this 36 times, what is the best prediction possible for the number of times you will pick a blue marble?
Answer:
12 times
Step-by-step explanation:
There are 3 blue marbles and 9 marbles total. The probability of selecting a blue marble is 3/9, reduced it is 1/3.
Multiply the probability by 36
[tex]\frac{1}{3}[/tex] × [tex]\frac{36}{1}[/tex]
[tex]\frac{36}{3}[/tex]
12
24 dogs to 56 cats
In the simplest form
Answer:
Simplify them to the lowest.
What's the GCF( Greatest Common Factor). It's 8. So divide both sides by 8.
24/8 = 3
56/8 = 7
so it's
3 dogs to 7 cats
Step-by-step explanation:
Answer:
3 dogs to 7 cats
Step-by-step explanation:
Find the Greatest Common Factor of the two numbers- if you don't know what that means, it means to find the biggest number that both numbers can be divided by. Basically, it's like simplifying a fraction.
:) Hope this helps!
what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend?
Answer:
Tadeo: 12 hoursDylan: 2 hoursStep-by-step explanation:
We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...
d +6d = 14
7d = 14 . . . . . . collect terms
d = 2 . . . . . . . divide by the coefficient of d
6d = 6(2) = 12
Tadeo volunteered 12 hours; Dylan volunteered 2 hours.
At Skyler airport 30% of the scheduled flights are delayed if 240 flights are delayed how many scheduled flights does Skyler airport have
what is the gradient of the blue line ?
1/4 is the gradient.
gradient => (2-3)/(4-8)
gradient => -1/(-4)
gradient => 1/4
The first year a baseball team debuted, one ticket cost 25$ After that, the price increased 2$ every year Write a linear equation in slope-intercept form that can be used to model the cost y of a ticket x years after the first year.
Answer:
Equation: y = 2x + 25
Step-by-step explanation:
Here x determines the number of year. For the first year,we will see ( 2 * 1 ) = $2 increase. In the second year, ( 2 * 2 ) =$4 increase and like this goes on, whereas the $25 being constant. "y" determines the total cost for each year.
Therefore the equation can be made: y = 2x + 25
Equation in slope intercept form
y=mx+by=2x+25please help me , step by step explanation needed
=======================================================
Explanation
Part (a)
The smaller pyramid up top is the result of slicing at the halfway point.
This leads to the ratio 1:2 when comparing small side to larger side.
Cube both parts of that ratio to end up with 1:8 as the volume ratio.
This means if the smaller pyramid was say 1 cubic foot in volume, then the larger pyramid has a volume of 8 cubic feet.
-------------------------
Part (b)
Consider the case that,
volume of smaller pyramid = 1 cubic feetvolume of larger pyramid = 8 cubic feetThe volume of the truncated base is 8-1 = 7 cubic feet.
The ratio of the smaller pyramid to the truncated base is 1:7
Which is a factor of x2 – 9x 14? x – 9 x – 2 x 5 x 7.
Answer:
Step-by-step explanation:
The 2 factors of x^2 - 9x + 14 are (x - 7) and (x - 2) because -7 + -2 = -9 and -7 x -2 = 14.
The factors of the quadratic expression x² – 9x + 14 is (x - 7)(x - 2) option (B) (x - 2) is correct.
What is a quadratic function?Any function of the form [tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that:
The quadratic expression is:
= x² – 9x + 14
Using factor method:
= x² – 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 7)(x - 2)
The factors of the quadratic expression x² – 9x + 14 is (x - 7)(x - 2)
Thus, the factors of the quadratic expression x² – 9x + 14 is (x - 7)(x - 2) option (B) (x - 2) is correct.
Learn more about quadratic function here:
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hello please help me need aanswer
[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]
In Figure 1 :- In figure 1 , we have given everything we don't need to determine anything in figure 1 In Figure 2 :- Here, we have to determine the measure of sides ,braces and angles with least number of known measures,Let's start ,
From the figure, we can assume the beam forms as AD, BC, EF , GH and so on.
Therefore,
[tex]\sf{ ABCD , AEFD, AGHD.. so \:on similar\: to \:each \:other }[/tex]
So,
[tex]\sf{ Angle\:BAD = Angle\:EBC = Angle\:GEF}[/tex]
Or,
[tex]\sf{ Angle\: ADC = Angle\:BCF = Angle\: EFH }[/tex]
Now, By using similarity theorem we can determine their sizes, braces and angles that is,
[tex]\sf{\red{ AD/BC = AB/AE = CD/CF = BC/EF}}[/tex]
[tex]\bold{\huge{\blue{\underline{Answers :- }}}}[/tex]
Answer 1 :-
For answering the above questions we use knowledge and practices regarding the questions we can do the activity by making figures of unknown sides by assuming it in the form of x, y.so that we can find the known values.
Answer 2 :-
The best way of solving the above questions is that it is already given in the question that the beam is symmetrical so, here we can use similarity theorem.
Answer 3 :-
It necessary to learn about trapezoid and it's properties because if we don't know the properties and what is trapezoid then we will not be able to answer the given question.
Some properties of trapezoid
the base angles of isosceles triangle are equal Two sides are parallelAnswer 4 :-
Well, The answer is very easy that if we don't know anything regarding the trapezoid then we will not be able to any question based on it and if we have incomplete knowledge about it then we will able to solve it but we always got incorrect answers most probably.
if 14 songs were 9.38 dollars how much would one be
Answer:
each song would be 67 cents (0.67)
Step-by-step explanation:
9.38/14=0.67
I need help with this
Answer:
the answer is 406 L times H times W
Answer:
406 Sorry if wrong!
Step-by-step explanation:
Volume=length x width x height
find the nearest degree
Answer:
Nearest angle is 30°.Step-by-step explanation:
There are 3 angles:
90° and 60°.There is 1 missing angle:
x°Subtract 180°:
180 - 60 = 120 - 90 = 30.Missing angle found!
Missing angle:
30°Any ideas on how to answer this for math?
You have learned what tangent lines are. You have learned that they are perpendicular to the radius at a point on the circle. What is unique about a tangent line is that it touches the circle at exactly one point, but never goes inside the circle. But points are infinitely small … how can a line touch a circle without ever going into it?
Answer:
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
Step-by-step explanation:
smarts.
hope this helps :))
A wire 90 cm long is cut into two pieces. One
piece is twice as long as the other piece. How
long is the shorter piece of wire?
Answer:
30 cm
Step-by-step explanation:
30+60=90
30×2=60 so 30cm is the answer.
Step-by-step explanation:
If one price is 2 times the other one, that means it's equal to 2 of those parts. Let's decide our total wire by three to account for the larger part.
[tex]90 \div 3 = 30[/tex]
Now we know the shorter piece is 30 cm. To find the longer piece, multiply the shorter piece by 2.
[tex]30 \times 2 = 60[/tex]
Recap:
Shorter Piece: 30 cm
Longer Piece: 60 cm
That's all there is to it! hope this helps.
if there are 280 6th graders and 200 7th graders then how many more seventh graders are involved in the yearbook
Using proportions, it is found that 8 more seventh graders are involved in the yearbook.
What is a proportion?A proportion is a fraction of a total amount.
Researching the problem on the internet, it is found that 10% of the 6th graders and 18% of the 7th graders are on the yearbook, hence:
0.1 x 280 = 28 6th graders.
0.18 x 200 = 36 7th graders.
36 - 28 = 8
8 more seventh graders are involved in the yearbook.
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What is the answer to 40x + 24
Answer:
8(5x+3)
Step-by-step explanation:
I think im correct ? please help am i?
you are wrong, the correct answer is x^2 - 16