Evaluate C7, 5).

A. 21

B. 42

C. 1,008

Answers

Answer 1
Answer: A.  21

=======================================

C(n, r) = (n!)/(r!*(n-r)!) is the combination formula

C(7, 5) = (7!)/(5!*(7-5)!)

C(7, 5) = (7!)/(5!*2!)

C(7, 5) = (7*6*5!)/(5!*2!)

C(7, 5) = (7*6)/(2!) ..... note the "5!" terms divided and canceled

C(7, 5) = (7*6)/(2*1)

C(7, 5) = 42/2

C(7, 5) = 21


Related Questions

What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer in the space provided.

Answers

Answer:

Therefore [tex]m_{2}[/tex] = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is [tex]m_{1}[/tex].

ii) to find the slope of the line passing through two points ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) we use the formula m = [tex]\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]. Therefore we can say that  [tex]m_{1}[/tex] = [tex]\dfrac{9 - 7}{4 - (-2)}[/tex] = [tex]\dfrac{1}{3}[/tex].

iii) let us say the slope of the perpendicular line to the line  passing through (-2,7) and (4,9) is [tex]m_{2}[/tex]

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = -1, therefore [tex]m_{2}[/tex] = -1 ÷  [tex]m_{1}[/tex] = -3. Therefore [tex]m_{2}[/tex] = -3

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

Answers

Try to leave a screenshot of the answers if you can please! Here's the graph for that function :D

10 4 3
what is 28n + 12n - 24n= show answer plz it is facortoring ou the greatest common factor

Answers

Answer:

4n(7+3-6)

Step-by-step explanation:

 28n              12n .               24n  

14 .   2 .        6 .  2              12 .   2

7 . 2 . 2 n .   3 . 2 . 2  n .     6 . 2

7                     3                     3 . 2 . 2 . 2  n

                                                  3x2=6

2x2xn=4n

GCF=4n

Answer:

16n

Step-by-step explanation:

The perimeter of a flag is 464 inches It is 100 inches tall how long is it

Answers

Answer:

Step-by-step explanation:

Perimeter = 2(l + w)

Perimeter = 464inches

Length l = 100inches

: 464 = 2(100 + w)

Dividing be 2

464/2 = 100 + w

232 = 100 + w

Collecting like terms

232 - 100 = w

132 = w

It is 132 inches long

Answer for n N+1=4(n-8)

Answers

Answer:

n = 11

Step-by-step explanation:

[tex]n+1=4(n-8)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\n+1=(4)(n)+(4)(-8)\\\\n+1=4n-32\qquad\text{subtract 1 from both sides}\\\\n+1-1=4n-32-1\\\\n=4n-33\qquad\text{subtract}\ 4n\ \text{From both sides}\\\\n-4n=4n-4n-33\\\\-3n=-33\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3n}{-3}=\dfrac{-33}{-3}\\\\n=11[/tex]

there were 18 boys and 12 girls playing dodge ball what percent of the players playing dodge ball were girls

Answers

Answer: Answer is 40%

Step-by-step explanation: The total number of players in the game is 30 (that is boys and girls added together becomes 18 + 12= 30) altogether which is a hundred percent. The percentage of girls playing the game is calculated as;

12/30 × 100%

=2/5 × 100%

=200/5

=40%

what is the final elevation if a driver starts at 5 m and changes -16 m?

Answers

Answer:

- 11 m elevation.

Step-by-step explanation:

The driver starts at an elevation of 5 m and he drives to get a change in elevation by - 16 m.

There is no doubt that the driver drives down to the negative elevation.

So, the driver first reaches the zero elevation then drives towards negative elevation.

Now, the final elevation of the driver will be at (5 - 16) m = - 11 m. (Answer)

Ryan bought two concert tickets for $29.95 each. He then bought a t shirt for $23.95 and food for $10.25. What is the closest amount to what Ryan spent

Answers

64.15

Will be the answer

How do you put 2x+y=2 into slope intercept form

Answers

In this question, you're trying to transform the equation into slope intercept form.

Slope intercept form equation:

y = mx + b

In this case, you would need to get the "y" variable by itself.

To do so, you would subtract -2x from both sides:

2x + y = 2

y = -2x + 2

Answer:

y = -2x + 2

The equation of the line 2x + y = 2 in slope-intercept form is y = -2x + 2.

What is the slope-intercept form of the equation?

The equation of a line is expressed as;

y = mx + b

Given the equation of the line in the question:

2x + y = 2

To convert the equation 2x + y = 2 into slope-intercept form (y = mx + b), where "m" represents the slope and "b" is the y-intercept, follow these steps:

First, Isolate "y" on one side of the equation by moving the term with "x" to the other side.

2x + y = 2

Subtract 2x from both sides:

2x - 2x + y = 2 - 2x

y = 2 - 2x

Rearrange:

y = -2x + 2

Therefore, the slope-intercept form is y = -2x + 2.

Learn more about equation of line here: brainly.com/question/2564656

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I need help please because it’s like 11pm at night and I am so tired and I have to wake up at 5am tomorrow so can someone please help me so I can go to sleep PLEASE i will give you a thanks and 8 points just PLEASE HELP ME

Answers

Answer:

She is not correct.

Step-by-step explanation:

If she originally purchases the teas for $100 and then she marks the price up 20%, the retail price would then be 100 + 0.20(100) = 100 + 20 = 120. The sales price would then be 120 - 0.2(120) = 120 - 24 = 96. This is less than the purchase price, so she is losing money, rather than gaining.

I hope this helps. If you download an app called Slader, it has the same math book you are using with the answers.

Choose the best estimate for the mass of a raisin.


OA) 0.2g
O B) 2g
OC) 20 g
OD) 200 g

Answers

Answer:A

Step-by-step explanation:

is 3/8 a terminating number

Answers

Answer: Yes, 3/8 is a terminating number

=================================================

Explanation:

Using a calculator,

3/8 = 0.375

The decimal stops and does not go on forever. So it is terminating.

-------

One way to be able to tell that it terminates is to look at the denominator 8, which factors to 2*2*2 or 2^3. The prime factor 2 indicates that the decimal will terminate. The rule is that if the denominator is factored into 2's or 5's only, then the decimal will terminate.

Examples:

1/5 = 0.2,   4/10 = 0.4,   5/8 = 0.625

Some non-examples would be

1/3 = 0.333333...

5/6 = 0.83333....

2/7 = 0.285714...

Each denominator of these non-terminating fractions do not have solely 2's or 5's as part of the factorizations.

yes 3/8 is a terminating number

Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as a parallelogram? Select all that apply.

four equal sides
bisecting diagonals
two pair of opposite parallel sides
two pair of opposite equal angles

Answers

Bisecting diagonals

Two pair of opposite parallel sides

Two pair of opposite equal angles

Solution:

Let us first define the properties of parallelogram.

The opposite sides of a parallelogram are parallel.The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.

Now, let us define the properties of square.

All four sides of a square are equal.Opposite sides of a square are parallel.Opposite sides of a square are equal.Opposite angles of a square are equal.Diagonals bisect each other at 90°.

From these properties, we can conclude that  every square can always be classified as a parallelogram if

Bisecting diagonalsTwo pair of opposite parallel sidesTwo pair of opposite equal angles

Bisecting diagonals

Two pair of opposite parallel sides

Two pair of opposite equal angles

A car has a base price of 23,800.00. Options cost 365.00 and 900.00 for a stereo, wheels and paint. Destination charges are 640.00 the dealer pays 82% of the base price and 75% of the options, determine the dealers cost

Answers

Answer:

The Amount paid by dealers is $20464.75    

Step-by-step explanation:

Given as :

The base price of car = $23,800

The option cost of car stereo = x = $365

The option cost of car wheels and paint = y = $900

Total option cost = $365 + $900

The charges of destination = $640

The Amount paid by dealer = 82% of total base price + 75% of total option cost

Let The Amount paid by dealers = $A

Now, According to question

The Amount paid by dealers =  82% of total base price + 75% of total option cost

i.e A = [tex]\dfrac{82}{100}[/tex] × total base price +  [tex]\dfrac{75}{100}[/tex] × total option cost

Or, A = [tex]\dfrac{82}{100}[/tex] × total base price +  [tex]\dfrac{75}{100}[/tex] × (x + y)

Or, A = [tex]\dfrac{82}{100}[/tex] × $23,800 +  [tex]\dfrac{75}{100}[/tex] × ($365 + $900)

Or, A = [tex]\dfrac{82}{100}[/tex] × $23,800 +  [tex]\dfrac{75}{100}[/tex] × $1265

Or, A = 82 × $238 +  75 × 12.65

Or, A = $19,516 + $948.75

Or, A = $20464.75

So, The Amount paid by dealers = A = $20464.75

Hence, The Amount paid by dealers is $20464.75       Answer

Write an equation that relates the angles in a triangle.
9. The measure of angle A is 45 degrees. The measure of angle B is b
degrees. The measure of angle C is 3b degrees.
_________________________________________________________________________________________
10. The measures of angles X and Y are the same, x degrees. The
measure of angle Z is twice the measure of angle Y.
_________________________________________________________________________________________

Answers

9.     [tex]4b^\circ[/tex] = [tex]135^\circ[/tex]10.      4[tex]x^\circ[/tex]= [tex]180^\circ[/tex]

Step-by-step explanation:

9.

Given that, the measure of [tex]\angle A[/tex] is [tex]45^\circ[/tex]. The measure of [tex]\angle B[/tex]is [tex]b^\circ[/tex]. The measure of[tex]\angle C[/tex] is [tex]3b^\circ[/tex] .

We know that the sum of all angles of triangle is [tex]180^\circ[/tex].

Therefore

[tex]45^\circ + b^\circ +3b^\circ =180^\circ[/tex]

⇔[tex]4b^\circ[/tex] = [tex]135^\circ[/tex]

10.

Given that , the measure of [tex]\angle X[/tex] and [tex]\angle Y[/tex]are same [tex]x^\circ[/tex]. The angle of [tex]\angle Z[/tex] is twice the measure of [tex]\angle Y[/tex].

∴[tex]\angle X[/tex]+[tex]\angle Y[/tex]+[tex]\angle Z[/tex]=[tex]180^\circ[/tex]

⇔[tex]x^\circ[/tex]+[tex]x^\circ[/tex]+2[tex]x^\circ[/tex]=[tex]180^\circ[/tex]

⇔4[tex]x^\circ[/tex]= [tex]180^\circ[/tex]

find the gratest common factor of 36 and 90

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

List your factors first to find the answer

36: 1-36, 2-18, 3-12, 4-9, 6-6

90: 1-90, 2-45, 3-30, 5-18, 6-15, 9-10

Now find in the factors which would be the greatest/largest. The largest factor shared between 36 and 90 is 18.

If the median of the following table is 525

Answers

Answer:

x=14

y=10

Step-by-step explanation:

The median divide the data‘s set into two parts with the same frequency = 50%

then we must have 2+5+x+12+17 = 50 ⇔ 36+x=50 then x =50-36=14

also 20+y+9+7+4=50 ⇔ y=10

Answer:

50-6=14

Step-by-step explanation:

just do the math and then you will find the answer

[50 POINTS!!!] HELP!
Solve This Logarithm. Find X. Please Type Steps!

Answers

Answer:

x = 15

Step-by-step explanation:

[tex]\text{Domain:}\ x>0\\\\\log_83+\dfrac{1}{2}\log_825=\log_8x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_83+\log_825^\frac{1}{2}=\log_8x\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_83+\log_8\sqrt{25}=\log_8x\\\\\log_83+\log_85=\log_8x\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_8(3\cdot5)=\log_8x\\\\\log_815=\log_8x\iff15=x\to x=15\in D[/tex]

Answer:

Your answer would be x = 15

I hope his helped and have a wonderful day!

~Real

5
Tom and Dipak share $114 in the ratio 7:5
Work out how much Dipak gets.

Answers

7+5 is 12. 114 divided by 12 is 9.5 so one part is 9.5. Dipaks share is 5 so 9.5 multiplied by 5 is 47.5 so the answer is $47.50

Answer:

Step-by-step explanation:

Tom and Dipak share $114 in the ratio 7:5

Total amount shared = $114

Ratio of Tom to Dipak = 7:5

Total ratio = 7+5 = 12

Dipak got = 5/12 × $114 = $ 47.5

Which of the following sequences of transformations maps
Figure 1 to Figure 2?
90° clockwise rotation around
the origin, then a reflection
across the x-axis
90° counterclockwise rotation
around the origin, then a
reflection across the x-axis
-4
reflection across the y-axis, then
a reflection across the x-axis
reflection across the x-axis, then
a reflection across the y-axis

Answers

Answer:

First choice: 90° clockwise rotation around the origin, then a reflection across the x-axis.

Explanation:

The vertices of the figure 1 are:

(-3, 2)(-4, 5)(-3, 8)(-7,5)

The vertices of figure 2 are:

(2, -3)(5, -4)(8, -3)(5, -7)

By simple inspection, you can tell that if you rotate the figure 1 90º clockwise and then reflect the image across the x-axys you obtain the figure 2.

You can prove that analitically.

1. Rotation 90º clockwise

A 90º clockwise reotation is the same that a 270º counterclockwise rotation and the mathematical rule for this is:

(x,y) → (y, x)

Applying that rule to the vertices of figure 1, you obtain:

(-3, 2) → (2, 3)(-4, 5) → (5, 4)(-3, 8) → (8, 3)(-7,5) → (5, 7)

2. Reflection across the x-axis.

A reflection across the x-axis keeps the same x-coordinate and changes the sign of the y-coordinate. The rule is:

(x,y) → (x, -y)

Applying that rule to the previous points yields to:

(2, 3) → (2, -3)(5, 4) → (5, -4)(8, 3) → (8, -3)(5, 7) → (5, -7)

Which are the coordinates of the figure 2. Thus, you have proved that the sequence of transformations 90° clockwise rotation around the origin, then a reflection across the x-axis (first choice) maps the figure 1 to figure 2.

Answer:

First choice: 90° clockwise rotation around the origin, then a reflection across the x-axis.

Step-by-step explanation:

The sum of two numbers is 38 and the difference is 16. Find each of the numbers.

Answers

Final answer:

To find the two numbers whose sum is 38 and difference is 16, we set up and solve a system of equations, which reveals the numbers to be 27 and 11.

Explanation:

The question involves finding two numbers when their sum and difference are known. To solve it, we can set up a system of equations based on the information provided. Suppose the two numbers we are trying to find are X and Y. According to the question, the sum of the two numbers is 38, and their difference is 16. Therefore, we can write the following equations:

Equation 1: X + Y = 38

Equation 2: X - Y = 16

To find the values of X and Y, we can add these two equations to eliminate Y. This gives us 2X = 54, which simplifies to X = 27. Substituting the value of X back into Equation 1, we find that Y = 11. Thus, the two numbers are 27 and 11.

6. What is the probability that the
arrow will land on a number that
is divisible by 3 if Brian spins it
one time?
---
----
A.1/8
B.1/7
C.1/4
D.1/3

Answers

Answer:

c

Step-by-step explanation:

there are two answers there divisible by three

(12 and 6) so the probability of it landing on one of them is 2/8 as there are 8 numbers altogether. 2/8 is equal to 1/4 so that's the answer

[tex]\frac{k}{3} -2k +4 =10[/tex]

Answers

Answer:

fraction > -18/5

dec> -3.6

Step-by-step explanation:

The answer for this solution is, K= - 18/5

What fraction represents the integer 4 ?

Answers

Answer:

Step-by-step explanation:

multiples of 4

12/3 = 4

16/4 = 4

4/1 = 4

24/6 = 4

36/9 = 4

Final answer:

The integer 4 can be represented as a fraction by placing it over 1. Therefore, the fraction that represents the integer 4 is 4/1 and it is already in its simplest form.

Explanation:

The integer 4 can be represented as a fraction simply by placing it over 1. Hence, the fraction equivalent of the integer 4 is 4/1. However, it's noteworthy to mention that a fraction can be simplified when the numerator and the denominator have a common factor, other than 1. In this case, there are no other common factors between 4 and 1, so it is already in its simplest form.

Learn more about Fraction Representation here:

https://brainly.com/question/33445752

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The perimeter of an equilateral triangle is 36 INCHES. Find the length of
the altitude of the triangle. (Hint: Draw an equilateral triangle first.)

Answers

36/3=12 inches

hope this help:)

Final answer:

To find the length of the altitude of an equilateral triangle with a perimeter of 36 inches, divide the perimeter by 3 to get the side length, then calculate the altitude using the formula for a 30-60-90 right triangle, resulting in an altitude length of 6\(\sqrt{3}\) inches.

Explanation:

To solve for the length of the altitude of an equilateral triangle with a perimeter of 36 inches, we first need to determine the length of one side of the triangle. Since an equilateral triangle has all sides of equal length, we divide the perimeter by 3 to find the length of one side:

Side length = Perimeter ÷ 3 = 36 inches ÷ 3 = 12 inches

Now, let's draw the equilateral triangle and an altitude. An altitude in an equilateral triangle splits the triangle into two 30-60-90 right triangles. In such a right triangle, the length of the altitude (which is the same as the longer leg) is \(\sqrt{3}/2\) times the length of the shorter leg (which is the side of the original equilateral triangle).

Hence, the altitude (h) can be calculated as:

Altitude (h) = Side length × (\(\sqrt{3}/2\)) = 12 inches × (\(\sqrt{3}/2\)) = 6\(\sqrt{3}\) inches

Therefore, the length of the altitude is 6\(\sqrt{3}\) inches.

What is the answer to this question?​

Answers

The answer would be a.6





Right the point-slope form of the line that passes through negative (7,8) and has a slope of -5

Answers

Answer:

[tex]y-8=-5(x-7)[/tex]

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-5\\(x1,y1)=(7,8)[/tex]

substitute

[tex]y-8=-5(x-7)[/tex]

-85 divided by 0.4
Explain

Answers

Answer:

-212.5

Step-by-step explanation:

-212.5 x 0.4 = -85

Final answer:

The student's question regarding dividing -85 by 0.4 results in -212.5. You divide the absolute values first and then apply the negative sign because dividing a negative by a positive yields a negative result.

Explanation:

The student is asking how to divide a negative number by a positive decimal number. Specifically, the question is about dividing -85 by 0.4. To perform this division, we'll divide the absolute values and then apply the negative sign to the result. The steps are as follows:

Divide 85 by 0.4 to get the absolute value of the result. 85 / 0.4 = 212.5.Apply the negative sign to the result, as the original number (-85) was negative. Therefore, -85 / 0.4 = -212.5.

The division of a negative number by a positive number results in a negative outcome. Hence, -85 divided by 0.4 equals -212.5.

A gumball machine has 280 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in the gumball machine? A. 330 B. 230 C. 560 D. 140

Answers

Answer:

C. 560

Step-by-step explanation:

50% is one half, so there is another half of 280. 280*2=560

Answer:

C

Step-by-step explanation:

Use the relationship between the angles in the
figure to answer the question.
Which equation can be used to find the value
of x?
Drag and drop the equation into the box.

Answers

The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.

The answer would be x = 180 - (67 + 52)

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