From the following figures, find the values of 'a', 'b', 'c': 'd', 'e' and 'f':​

The number of teams and matches in the soccer league illustrates permutation and combination

There are 12 teams in the soccer league in the first season

The number of teams in the soccer league is given as n.

So, the total number of matches played in a season is:

Matches = n(n-1)/2

When the number of teams increases by 2, we have:

Matches = (n + 2)(n + 2 -1)/2

Also, the number of matches increases by 27.5%.

So, we have:

Matches = n(n-1)/2 * (1 + 27.5%)

Equate both equations

[tex]\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)[/tex]

Simplify

[tex]\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)[/tex]

Multiply through by 2

[tex](n + 2)(n + 1) = n(n-1) * (1.275)[/tex]

Expand

[tex]n^2 + 3n + 2 = 1.275n^2 - 1.275[/tex]

Collect like terms

[tex]n^2 -1.275n^2+ 3n + 2 +1.275 = 0[/tex]

Evaluate the like terms

[tex]-0.275n^2+ 3n + 3.275 = 0[/tex]

Using a graphing calculator, we have:

n = -1 or n = 11.909

n cannot be negative.

So, we have:

n = 11.909

Approximate

n = 12

Hence, there are 12 teams in the soccer league in the first season

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Answer:

Step-by-step explanation:

Given that the  function is  f(x)=1.6x+15,

we can see that the function corresponds to the equation of a straight line

that y=mx+c      

now comparing this function with the equation of a straight line

 f(x)=1.6x+15

  y=mx+c      

we can see that

x represents the number of golf balls in the package

15 is constant c which is the weight of the package used in the shipping

Answer:

True statements

Additional information

Closed circle:  ≤ or ≥

Open circle:  < or >

Answer:

Partially correct!!

Step-by-step explanation:

To find the area, you only need to multiply LENGTH x WIDTH. So, you did it correctly.

Not the height and the length. You wouldn't need the height to calculate area! Good try though! If you're still stuck next time you measure a door, look up how to calculate area if you are ever stuck.

Answer:

68.9

Step-by-step explanation:

When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.

Answer:

D(-5,5), E(-3,4), F(-6,0), G(-8,1)

Step-by-step explanation:

You need to subtract 11 from x, (which is the first number in the parenthesis) because the rule is (x-11, y+4) and add 4 to y.

I really hope this helps!

The value represents the is D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) . A rectangle is a quadrilateral with four right angles in the Euclidean plane.

A rectangle is a quadrilateral with four right angles in the Euclidean plane. A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to describe it. A rectangle with four equally length sides is a square.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

Given,

vertices D(61), E(8,0),

F(5.-6), and G(3-5); (x, y)(x-11, y + 4)

Because the rule is (x-11, y+4), you must subtract 11 from x, which is the first number in the parenthesis, and then add 4 to y.

D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1)

Therefore D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1)  is the value represents the rectangle.

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Answer:

$3.75

Step-by-step explanation:

Cost of one shirt = $12.25

cost of two shirt = 2*Cost of one shirt= 2*$12.25 = $25

cost of necklace = $8.50

cost of pair of shoes = $22.75

Total cost for the shopping = cost of two shirt+cost of necklace+ cost of pair of shoes

Total cost for the shopping = $25 + $8.50+ $22.75 = $56.25

Given that Maddy had done total shopping worth $56.25 but she gave cashier all her birthday money which is equal  to $60.

Then , cashier will return all the money from $60 exceeding $56.25

change returned to money = money given to cashier - total cost for shopping

change returned to Maddy = $60 - $56.25 = $3.75

Thus, Maddy got Back $3.75

Answer:

(-8,6)

Step-by-step explanation:

rotating 180 degrees: x and y coordinates change signs

After rotating the point(8, -6) 180 counterclockwise it will become (-8,6).

A point's coordinates are a pair of integers that pinpoint where it is precisely on a two-dimensional plane. Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane. A particular point's coordinates show how far along each axis it is situated.

Given a point (8,-6) after rotating it counterclockwise 180°. A' is formed when our point A(x,y) rotates 180 degrees counterclockwise around the origin (-x,-y). As a consequence, we just make both x and y negative.

Therefore new coordinates of the point will be (-8,6). For better understanding, I am attaching two graphs.

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Answer:

accuracy- the quality of state of being correct or precise

add decimals- write the numbers in a column, and make sure that the decimal points are aligned.

Answer/Step-by-step explanation:

 Refer to picture below:

Answer:

Veronique found the difference of a number and 8.

Which expression models the situation?

n-8

8/n

n/8

8 - n

Step-by-step explanation:

A:(n-8) is correct

Answer:

N-8

Step-by-step explanation:

I just finished the quiz

Area = 3.14 * (12 miles)² = 452.16 miles²

Answer:

flipped across the x-axis and translated to the left 2 units

Step-by-step explanation:

I attached a pic to show u !! Blue is the parent function and red is the other equation so it's easy to see how they compare to one another.

how to read a function different from the parent

Answer:

Piece1:  12.7 meters

Piece2:  39.9 meters

Product of the two to nearest tenth: 506.7

Step-by-step explanation:

Piece1:   x

Piece2:  x + 27.2

x + x + 27.2 = 52.6

2x + 27.2 = 52.6

2x = 25.4

x = 12.7

Piece1:   12.7

Piece2:  12.7 + 27.2 = 39.9

Product of the two pieces:

12.7 * 39.9 = 506.73

Answer:  5.94%

Step-by-step explanation:

Let X be the random variable that represents the weights of the fish.

Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb ([tex]\mu[/tex]) and a standard deviation of 2.9 lb ([tex]\sigma[/tex]).

sample size : n= 32

The probability that the mean weight will be more than 10.9 lb:

[tex]P(\overline{X}>10.9)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{10.9-10.1}{\dfrac{2.9}{\sqrt{32}}})\\\\=P(Z>1.56)\\\\=1-P(Z<1.56)\\\\=1- 0.9406\ \ [\text{By p-value table}]\\\\=0.0594=5.94\%[/tex]

Hence, the required probability = 5.94%.

Answer:

There is no solution.

Step-by-step explanation:

1 ≠ 3

Answer: 144

Step-by-step explanation:

We know that we have to start with parenthesis first and complete that operation first. So 9+3=12. Now we are left with 12(12) which simply means 12 times 12 which is 144.

Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )

m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (7, 8 ) , then

8 = 7 + c ⇒ c = 8 - 7 = 1

y = x + 1 ← equation of line

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

Work Shown:

Let's make each of those unlabeled angles be angle y.

We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.

The three interior angles of any triangle add to 180

44+y+y = 180

2y+44 = 180

2y = 180-44 ... subtracting 44 from both sides

2y = 136

y = 136/2 ... divide both sides by 2

y = 68

Once we know y, we can find x

x+y = 180 ... since the adjacent angles form a straight line

x+68 = 180

x = 180-68 ... subtract 68 from both sides

x = 112

Answer:

John spent around $53

Step-by-step explanation:

The equation is 3x=160

Since the "x" is already by itself on one side, divide 160 by 3

160÷3=53.333⇒

Now if that's not the way IT CAN ALSO BE:

30x3+70=160! That means John spent $90

Answer:

Im not sure but we are learning this in my school and the answer would be 1570.8 and rounded would be 1571

Step-by-step explanation:

Hope this helps

Answer:

Distributive Property

Step-by-step explanation:

2(x+4) = 2x + 8

2x + 2(4) = 2x + 8

2x + 8 = 2x + 8

Henceforth, distributive property

Answer: The Distributive Property

Step-by-step explanation:

Answer: 65 = 1 x 65 or 5 x 13. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.

Step-by-step explanation:

Answer:

heres your answer (this is my first time answering)

Step-by-step explanation:

(0,7) and (2,4)=-3/2

(1,-3) and (-1,-3)=zero

(-1,3) and (-1.-3)=No slope

(0,0) and (2,1)=1/2

(0,-1) and (2.-5)=-2

Slope of a line = (y₂-y₁)/(x₂-x₁)

The slope formula is (y₂-y₁)/(x₂-x₁)

For (0,7) and (2,4)

Slope=4-7/2=-3/2

For (1,-3) and (-1,-3)

Slope=-3+3/-2=zero

For (-1,3) and (-1.-3)

Slope=-3-3/-1+1=No slope

For (0,0) and (2,1)

Slope=1/2

For (0,-1) and (2.-5)

Slope=-5+1/2=-2

Hence we matched with respective slope to equations.

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Answer: 18693.51075= £18,693.51

Step-by-step explanation:

16470.45/100=164.7045

164.7045x13.5=2223.51075

2223.51075=16470.45=18693.51075

18693.51075= £18,693.51

The increment of £16470.45 by 13.5% is £18693.96.

A part per hundred is what the percentage denotes. The symbol '%' is used to symbolise it. Example percentages include: 10% is represented as the fraction 1/10.

The amount is given as  £16470.45.

As, the amount is increased by 13.5%.

Thus 13.5% of £16470.45 will be calculated as,

= 16470.45 ×(13.5/100)

= 2223.51

Thus, the 13.5% of the amount will be £2223.51

As, the incremented amount is calculated as  £2223.51.

The amount after the increment will be,

= 16470.45 + 2223.51

= 18693.96

Therefore, the total amount after the increment of 13.5% is £18693.96.

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Answer:

x=3, 8

Step-by-step explanation:

x²-11x+24=0 can be factored to

(x-3)(x-8)=0

3-3=0

8-8=0

So, x can be 3, 8

1. 761/24

2. I don’t understand either u change it to an mix number or it’s already simplified.

Answer:

[C] convenience sample

Step-by-step explanation:

[C] Convenience sample because where the sample is taken from a group of people easy to contact or to reach. Thus, a sample representative of the entire population is an Convenience

[RevyBreeze]

Answer:

convenience sample

Step-by-step explanation:

[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample[A] Biased sample

[B] unbiased sample

[C] convenience sample

[D] free sample