PLEASE HELP COMPARING RATIOS

Number combination can be used to find the number of selecting n  items from m items

The known parameters are;

Number of days the six friends play a game of tennis = Every day = 7 days

Number of weeks the six friends the friends play for = 7 weeks

Therefore the total number of days = 7 × 7 days = 49 days

Required:

(a) The number of ways the friends can play with each other once is given as follows;

[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]

The number of ways the six friends can play with each other once is 15 ways

Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;

[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]

Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time

(b) The number of ways the friends can play game of doubles is given as follows;

[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

The number of pairs = ₆C₂ = 15

The number of games of doubles = 49

In 49 games, we have;

The number of times the same opposing  will play a game of doubles where a member of the pair can be on either side of the court will given as follows;

[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]

Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time

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Answer:

$5028.4

Step-by-step explanation:

The expression for that investment will be 2500*(1.15)^t where t is in years, the value of the investment will be 2500*(1.15)^5=5028.4

Step-by-step explanation:

the formula of coordinates (x, y) that reflected across the x-axis : (x, y) => (x, -y)

so,

A(3, -2) => A'(3, 2)

B(5, 5) => B'(5, -5)

C(-4, 2) => C'(-4, -2)

Coordinates of ∆ABC

Now co-ordibates of ∆A'B'C'

[tex]\\ \rm\longmapsto A'=(3,2)[/tex]

[tex]\\ \rm\longmapsto B'=(5,-5)[/tex]

[tex]\\ \rm\longmapsto C'=(-4,-2)[/tex]

Answer:

1/2 and 9 is rational but 4 is not

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

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Hi :)

-3(3a + 2) + 3

-9a -6 + 3

-9a -3

.....................

Answer:

3^10

Step-by-step explanation:

(3²)⁵

We know that a^b^c = a^(b*c)

(3²)⁵ = 3^(2*5)

= 3^10

Answer:

59,049

Step-by-step explanation:

(3^2)^5

~Use power rule

3^10

~Simplify

59,049

Best of Luck!

Answer:

12

Step-by-step explanation:

40/24 = 20/x

40x = 20 × 24

40x = 480

x = 480/40

x = 12

Answer:

AC = 4

Step-by-step explanation:

For AD to be an angle bisector then it divides the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BD}{DC}[/tex] , substitute values

[tex]\frac{2}{AC}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AC = 4

Answer:

a) The sum of numbers p and 4 is 15.

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

17) 19

19) 8

Step-by-step explanation:

17)

(6 +6² -4)÷2

(6 +36 -4)÷2

(38)÷2

19

19)

3³ ÷3 - 1

27 ÷3 -1

9 -1

8

Answer:

$13.10

Step-by-step explanation:

Concard    $3.00  2.1    $6.30

Osband    $3.00  

Green Anjou  $4.00  

Bartlett          $2.00  3.4     $6.80

Red Anjou  $5.00  

                TOTAL =      $13.10

Answer:

im pretty sure its 250%

Step-by-step explanation:

Answer:

250%

Step-by-step explanation:

1 is 100% and double that is 200%

1/5 of 100% is 50%

200% + 50% = 250%

Answer:

hope it helps you........

Answer:

2n-3m

=2(4)-3(3)

=8 - 9

= -1

Answer:

integers

Step-by-step explanation:

so negative and positive are numbers in questions so no.

and def not Imaginary numbers

Answer:b

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

64 ÷ 4 = 16

Answer:

B. 30m2

Answer: 12 and -12

Step-by-step explanation:

Absolute value is the distance to zero (0)

Equation 1:

|(12) - 2| = 10

= 12-2

=10

Equation 2:

|(-12) - 2| = 10

= 12 - 2

= 10

Answer:

-12

Step-by-step explanation:

18 plus 13 is 41 29 subtracted from 41 is -12

Answer:

- $2

Step-by-step explanation:

Alex withdrew money twice, or he subtracted those amounts from the total that he had.

In this case, he withdrew $13 first, and then $18, or:

13 + 18 = 31

$31 dollars in all.

Alex had $29. Subtract the total that he withdrew from the amount he had:

29 - 31 = -2

Alex has - $2, or he owes the bank $2 with interest.

~

Answer:

q is 4

Step-by-step explanation:

[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]

let gradient of the line joining (4, q) to (6, 5) be x

let gradient of the line joining (0, 0) to (4, q) be y

[tex]y = 2x[/tex]

therefore:

[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]

collect like terms:

[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]

Let,

As we know,

then,

→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]

      [tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]

      [tex]\frac{q}{4} = 5-q[/tex]

By applying cross-multiplication, we get

      [tex]q = 4(5-q)[/tex]

      [tex]q = 20-4q[/tex]

By adding "4q" both sides, we get

[tex]q+4q= 20-4q+4q[/tex]

     [tex]5q = 20[/tex]

       [tex]q = \frac{20}{5}[/tex]

       [tex]q = 4[/tex]

Thus the above value is correct.

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Answer:

1 1/2

Step-by-step explanation:

9/10 ÷ 3/5

Copy dot flip

9/10 * 5/3

Rewriting

9/3 * 5/10

3 * 1/2

3/2

1 1/2

Answer:

3/2

Step-by-step explanation:

9/10 ÷ 3/5

~Use copy dot flip

9/10 * 5/3

~Multiply

45/30

~Simplify

3/2

Best of Luck!

Answer:

5/2

Step-by-step explanation:

Answer:

3

Brainliest, please!

Step-by-step explanation:

(1, -2)(3, 4)

y: +6

x: +2

y/x = 6/2 = 3

Answer:

12 - (1/4)x

Step-by-step explanation:

quarter of x is (1/4)x

Now, minus that from twelve.

Answer:

have a great day

god bless you

Answer:

Line A

Step-by-step explanation:

Answer:

1 real solution

Step-by-step explanation:

Use discramint formula.

[tex]b {}^{2} - 4ac[/tex]

If the discramint >0, the equation is going to have 2 real solutions

If the discramint =0, we going to have one real solution.

If the discramint<0, we going to have two imaginary solution

B is -4, A is 4 and C is 1 so

[tex] { - 4}^{2} - 4( 4)(1) = 0[/tex]

So the equation had one real solution.

Answer:

7/12

Explanation:

Here are the steps to follow:

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

7/12

Step-by-step explanation:

[tex] \frac{1}{3} + \frac{1}{2} = \frac{2 + 3}{6} = \frac{5}{6} - \frac{1}{4} = \frac{20 - 6}{24} = \frac{7}{12} [/tex]

Answer:

Step-by-step explanation:

[tex] \frac{v}{8} = 13[/tex]

=> v = 13 × 8

=> v = 114 (Ans)

Answer:

99 + x = 4x

99 = 3x

x =33

.....