Please help! I will give points for helpng.

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

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Answer:

1.5 pounds. it's simply 3/8 times 4

Answer:

1.5 pounds of chocolate

Step-by-step explanation:

A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.

In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.

[tex]4\cdot \frac{3}{8}[/tex]

[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]

[tex]\frac{3}{2}=1.5[/tex]

We need 1.5 pounds of  chocolate to make 4 batches of ice cream.

Good luck ^^

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

Answer:

The total distance traveled by the toy car is 14 m

Step-by-step explanation:

Given;

initial velocity of the car, u = 0

final velocity of the car, v = 4 m/s

time of motion, t₁ = 3 s

constant deceleration of the car, -a = 0.5 m/s²

time of motion, t₂ = 4 s

The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).

[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

The can relatively small... I would just say common sense.

hopefully this helps luv <3

Answer:

0.2

Step-by-step explanation:

Convert the walking to percent

[tex]\frac{1}{2} \times 100 = 50[/tex]

Add both skateboarding and walking

[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]

Now, subtract that from a whole percent

[tex]100 - 80 = 20\\\\20\%[/tex]

Convert it to a decimal

[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]

Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.

Answer:Amount of white  paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of  blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of  blue paint used =4/5 x 9.1=7.28 pints

Amount of white  paint used=Amount of  blue paint and white paint to paint her bedroom walls -Amount of  blue paint used

=9.1-7.28=1.82 pints

Answer:

n = 28.

Step-by-step explanation:

70 divided by 2.5 is 28

Answer:

12.0%

Step-by-step explanation:

Answer:

(0, -4)

Step-by-step explanation:

The rectangular form is expressed as;

x = rcos theta

y = rsin theta

Given the coordinate  (4, 3π/2)

r = 4

theta = 3π/2

Substitute

x = 4cos3π/2

x = 4cos270

x = 4(0)

x = 0

y= 4sin3π/2

y = 4sin270

y = 4(-1)

y = -4

Hence the required coordinate is (0, -4)

Answer:

the angles have a sum of 180°

Answer:

the probability is 1/12

Step-by-step explanation:

Answer:

[tex]Y=\frac{c}{a}-\frac{b}{a}[/tex]

Step-by-step explanation:

Answer:

y=c+b/a (The a is under c+b)

Step-by-step explanation:

Add the b over to c.

ay=c+b

Now divide both sides by a, which will remove the a from y.

y=c+b/a

Answer:

The answer is A. because of the y intercept and the slope

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2

Answer:

s = 8t

Step-by-step explanation:

every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.

Answer:

2/7

Step-by-step explanation:

Because there are a total of 7 keys and he has 2 for his car so 2/7.

:DDDDD

Answer:

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

Answer:

I would go with letter B. -7

Step-by-step explanation:

The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:

y² + 15y + 56 = (y + 7)(y + a)

y² + 15y + 56 = y² + (7 + a)y + 7a

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Step by Step Solution

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Changes made to your input should not affect the solution:

Step by step solution :

STEP  1 :

Trying to factor by splitting the middle term

1.1     Factoring  y2+14y+49  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +14y  its coefficient is  14 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 49 = 49  

Step-2 : Find two factors of  49  whose sum equals the coefficient of the middle term, which is   14 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  7  and  7  

                    y2 + 7y + 7y + 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   y • (y+7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (y+7)

Step-5 : Add up the four terms of step 4 :

                   (y+7)  •  (y+7)

The solution is:

  y  =  -7  

 The solution is:

 y = -14 / 2 = -7

Answer:

y < 3

Step-by-step explanation:

If you put the equation on a graphing calculator it shows that.

    Please give me BRAINLIEST and THANKS <(￣︶￣)>

Answer:

RX is parallel to ST

Step-by-step explanation:

Answer:

Line RX and line ST are parallel to each other

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

Answer:

the angle measures are 60 and 30

Which sentence contains an error in the use of a restrictive clause?  

How could you correct this error?

Answer:

The answer is 72.9 !!!!

Step-by-step explanation:

Trust I'm taking the same test.

Ryan runs a total of 94.5 miles over the course of 18 days.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

We can approach this problem by using arithmetic progression.

The first term is 1.5 miles, and the common difference is 0.3 miles.

So,

The nth term is given by:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the number of days.

We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:

S18 = (n/2) (a1 + an)

where n is the number of terms and a1 and an are the first and last terms, respectively.

Substituting the values we have:

a1 = 1.5 miles

d = 0.3 miles

n = 18

an = 1.5 + (18-1)0.3 = 6 miles

S18 = (18/2)(1.5 + 6) = 94.5 miles

Therefore,

Ryan runs a total of 94.5 miles over the course of 18 days.

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Answer:

The mistakes were on points C and D

Step-by-step explanation:

Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?

Answer:

The mistakes are Point C and D