At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act?

Answers

Answer 1

Answer:

28

Step-by-step explanation:

If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.

Answer 2

The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

The equation for combination is

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

The total number of skydivers in the plane n = 8 skydivers

Each  skydiver was connected to each of the other skydivers with a separate pieces of ribbon

So , the number of choosing skydivers x = 2

Now , the total number of ribbons used is calculated by combination

So , the equation is

ⁿCₓ = n! / ( ( n - x )! x! )

Substitute the value of n and x in the equation , we get

⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )

      = 8! / ( 6! x 2! )

      = 8 x 7 / 2 x 1

      = 56 / 2

      = 28 ribbons

Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons

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Related Questions

The graph shows the numbers of miles two cars travel.





Car B travels ___ more miles than Car A each hour.

Answers

Answer:

b goes 5 miles more than a, in 1 hour

Answer: 5 miles more than car A each hour

Step-by-step explanation: We have to look at each line carefully and the steepness as well as the numbers and we could clearly see that Car B thus travels 5 more miles than car A each hour!

Hope this helps <3

-Carrie

P.S. Please be sure to mark brainliest

STAY SAFE

I don't know what to put in theboxes.

Answers

Top left: 3
Top right: 6
Bottom left: 1
Bottom right: 2
Hope this helps!

I guess you have to put the amounts in the boxes based on your data :) hope that helped a little

I think it should go like

3|6

1|2

Find the area of the figure in the picture please!!!

Answers

Answer:

365cm^2

Step-by-step explanation:

Answer:

365cm ^2

I think

Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.

Answers

Answer:

$2.81

Step-by-step explanation:

1.25 is 100% of the price

125% + 100% = 225%

x = price by august

x = 225% (1.25)

225% = 2.25

2.25(1.25) = 2.8125 ≈ $2.81

Another way to see it:

[tex]\frac{1.25}{x}[/tex] = [tex]\frac{100}{225}[/tex]

225(1.25) / 100 = 2.8125

Answer:

11.25

Step-by-step explanation:

Simplify. x+5/x^2+6x+5

1/x+1; where x ≠ -1
1/x+1; where x ≠ -1,-5
1/x-5; where x ≠ 5
X-5

Answers

Answer:

7x3 + 5x2 + 5

x2

= 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum =6

Product =5

Factors = 5 , 1

x² + 6x + 5 = x² + x + 5x + 5*1

                  = x(x + 1) + 5(x+1)

                 = (x+1) (x +5)

[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]

Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.

48π ft2
60π ft2
96π ft2

Answers

Answer:

60π ft2

Step-by-step explanation:

The formula for the lateral surface area of a cone is: πr [tex]\sqrt{h^{2} + r^{2} }[/tex]. You substitute the h for the height and r for the radius and tada! 60π ft2!

Katie sewed costumes for the high school's annual play. She spent the following number of hours on each dress. What is the mean number of hours spent on each dress? 5 1/4 4 1/2 3 3/4 4

Answers

About 2.91 hours rounded

Answer:

round down to 2.9 if to 1dp

Step-by-step explanation:

how much is a mass in kilograms ?

Answers

Answer:

1,000 grams, we have 1 kilogram

Step-by-step explanation:

Step-by-step explanation:

1000 grams in 1 kilograms

write an equation for the graph. help :)

Answers

Answer:

Since the y-intercept is 400 and the y value fourths for every increase of 2 in x, the equation is y = 400 * (0.5)^x.

Need help solving this plzz

Answers

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?

A. You can use a relative frequency table to examine how data sets are related by comparing percentages.

B. Row and column relative frequency tables tell you the same information as total relative frequency tables.

C. A column relative frequency table helps compare data in two different rows.

D. In a column two-way relative frequency table, each column totals 100%.

Answers

Step-by-step explanation:

D. In a column two-way relative frequency table, each column totals 100%.

Mr. Karas needs to find the perimeter of
the patio shown at the right. What is the
perimeter of the patio? How can Mr. Karas find
the perimeter?

Answers

Answer: 54 yds

Step-by-step explanation: add all of the sides to get the perimeter

14+9+14+10+7=54

Perimeter=14+14+9+10+7
P= 54yd

PLEASE HELP! WILL MARK BRAINLIEST!!

A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?

1/18
18/121
55/22
22/131

In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a blue marble from the bag?
3/20
1/5
1/10
1/4

Answers

Answer:

18/121

1/4

(not 100% sure)

if my final exam is worth 60 points, and i get an 80%, how many questions did i get right?

Answers

Answer:

48

Step-by-step explanation:

Total points = 60

% = 80%

Therefore no. of points right = 80/100×60 = 48

Which equations are true?
Choose all answers that apply:
Ⓐ 0 = 0+1-2
Ⓑ 0=(-2)-(-2) +0
Ⓒ None of the above

Answers

Answer:

B

Step-by-step explanation:

A is false. 0 + 1 - 2 = -1, not 0.

B is true.

(-2)-(-2) +0

= -2 + 2 + 0

= 0

C is false, since B is true.

Equation B 0=(-2)-(-2) +0 is true, which is simplified by subtraction.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

For equation A:

0 = 0+1-2

We can simplify the right-hand side of the equation by combining like terms:

0 = -1

This is not true, so we might be tempted to say that equation A is false.

For equation B:

0 = (-2)-(-2) + 0

We can simplify the right-hand side of the equation by performing the subtraction:

0 = 0 + 0 + 0

This simplifies to:

0 = 0

This equation is true.

Therefore, equation B is true.

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Simplify (or FOIL) the following binomial expression (x−2)(x−2)

Answers

Answer:

x^2-4x+4

Step-by-step explanation:

x^2-2x-2x+4

=x^2-4x+4

3/11 x 3 1/4 Answer this question

Answers

Answer: 39/44

Step-by-step explanation:

3 1/4 = 13/4

13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44

The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.

To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.

To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.

3 1/4

= (3 x 4 + 1) / 4

= 13/4

Now we can multiply 3/11 by 13/4:

(3/11) x (13/4)

= (3 x 13) / (11 x 4)

= 39/44

Therefore, the product of 3/11 and 3 1/4 is 39/44.

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Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?

Answers

Answer:

700 pounds

Step-by-step explanation:

if 46 euros cost 40 pounds

then 805 euros will cost 805 multiplied 40

whatever answer you get divide it by 46

Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)

Answers

Answer:

B.

Step-by-step explanation:

because the vertex of parabola is f(x)

There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the
number of brooms to the number of mops?
O A.
MIN
0110
OC.
O D.
nim
SURA

Answers

Answer:

i believe it is A because 6/2=3, 4/2=2, which gives the ratio 3/2.

Step-by-step explanation:

The ratio of the number of brooms to the number of mops is 3:2.

What is Ratio?

In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."

We have,

Number of brooms= 6

Number of mops= 4

So, the ratio of the number of brooms to the number of mops

= 6/4

=3/2

Thus, the required ratio is 3:2.

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50 POINTS! SOMEONE PLEASE HELP ME! :(

Answers

Answer:

a dot in an equation means multiplication

3 1/4 x 1 1/3 Please help!!! ~Kweenie~

Answers

The answer would be :- 28.416

∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

Answers

[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]

Answer:

m∠ A=78°

m∠ B=12°

Step-by-step explanation:

∠A+∠B=90°

15x+3+5x-13=90

20x-10=90

20x=100

x=5

∠A=(15×5+3)°=(75+3)°=78°

∠B=(5×5-13)°=(25-13)°=12°

please help, will give brainliest

Answers

Answer:

4/7

Step-by-step explanation:

4/7 is squared and then square rooted, changing nothing.

The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.

Answers

Answer:

≈ 0.7% error

Step-by-step explanation:

To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.

Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.

The percent error is approximately 0.7%

Help asap please, dhebduhd

Answers

Hi there !

The answer is B. angle 4.

An alternate interior angle is diagonally across one angle on the inside of the transversal. Opposite of 5 on the inside is angle 4.

Hope this helps !

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

Help me on this maths please

Answers

Answer: √300.89 or 17.3

Step-by-step explanation:

a^2 + b^2 = c^2

6.7^2 + b^2 = 16^2

b^2 = 16^2 - 6.7^2

= 256 - 44.89

b = √211.11 = 14.5

here to this question we have to use Pythagoras theorem that is

[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]

here,

a=6.7

b=x (cuz' we don't know it's value)

c= hypotenuse =16

now, substitute these values in the above formula then we get,

[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]

as the answer should be given to 1 decimal place we get 14.529

Solve the formula A= 8/2 for r.

Answers

Answer:

The steps are :

[tex]A = \pi {r}^{2} [/tex]

[tex] \frac{A}{\pi} = {r}^{2} [/tex]

[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]

Therefore, the answer is B.

Answer: the answer is B.

A____ function is a function that can be expressed as the quotient of two polynomial functions
in which the denominator does not equal zero.

Answers

Answer:

Rational expression

Step-by-step explanation:

A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x

A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.

Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.

Thus, the blanked statement is the definition of the rational function

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Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Option B falls inside of the line, keeping it proportional

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