solve m : m - 7 = 24

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

Read more about combinations at:

https://brainly.com/question/8018593

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:

110-degrees

Step-by-step explanation:

these are alternate exterior angles which are equal *congruent

Answer:

Since 110° and ? are alternate exterior angles, take the 110° and subtract 180°. Remember, 180° is a straight angle. So, 180°-110°= 70°.

The missing angle is 110°, I just solved for the remaining angle to help you figure it out more easily.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

$9.99 + $1.29x = $50

Step-by-step explanation:

something like this don't know if right though

Answer:

-8 and 2

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:

AD = 11 units

Step-by-step explanation:

d = √(-6+6)²+(5+6)²

d = √11²

d = 11

Answer:

25 dollars/hour

Step-by-step explanation:

The rate of change is 25 dollars/hour

Answer:

Trapezoid

Step-by-step explanation:

Answer:

72 divided by 12 = 6 feet

Step-by-step explanation:

Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Write the number in exponential form with the base of 2:

[tex] {2}^{x - 3} = {2}^{ - 3} [/tex]

Since the bases are the same, set the exponents equals.

[tex]x - 3 = - 3[/tex]

Cancel equal terms on both sides of the equation:

[tex]x = 0[/tex]

[tex]2 {}^{x - 3} = \frac{1}{8} [/tex]

To Find value of 'x'

[tex]2 {}^{x - 3} = \frac{1}{8} \\ \\ \implies2 {}^{x - 3} = 2 {}^{ - 3} \\ \\ \\ Since \: Bases \: Are \\ Equal \: We \: Need \\ To \: Evaluate \\ The \: Powers \\ \\ \implies \: x - 3 = - 3 \\ \\ \implies x = - 3 + 3 \\ \\ \implies \: x = 0[/tex]

[tex] \fbox \red{Hope This Helps You ❤}[/tex]

The phrase “6 minutes longer than Laura” is an expression,

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

6 minutes longer than Laura and Ken sang 6 minutes longer than Laura.

Now,

Because it does not have an equal sign. It can be written as L + 6, where L is the number of minutes that Laura sang.

The sentence “Ken sang 6 minutes longer than Laura” is a situation that can be modeled by an equation, because it involves a relationship between two quantities. It can be written as K = L + 6, where K is the number of minutes that Ken sang and L is the number of minutes that Laura sang.

Therefore, by the given statement answer will be expression.

To know more about an expression follow;

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#SPJ2

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

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:

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:

RULES:

Half of your diameter is ALWAYS your radius.

15 divided by 2 = 7.5 cm

6.5 divided by 2 = 3.25 in.

3 divided by 2 = 1.5 ft

8 divided by 2 = 4 m

Answer:

2/3

Step-by-step explanation:

There are two 4s and two 1s on the spinner. There are a total of 6 spaces. Therefore, the probability of spinning a 4 or 1 is 4/6 percent. We can simplify 4/6 to 2/3. Therefore, the answer is 2/3

If this helps please mark as brainliest

Answer:

the angle measures are 60 and 30

Answer:

jvjkcjkcjcljf

Step-by-step explanation:

5655+56835

Answer:

x = 20

Step-by-step explanation:

(6x - 10) and (3x + 50) are vertical angles and are congruent, then

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

Answer:

28 feet

Step-by-step explanation:

20 + 10 = 30 - 2 = 28 feet

The dolphin is 20 feet below the surface, goes down another 10 feet, so 30 feet below the surface, and raises two feet, so 28 feet below the surface.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8x+6=5x+30}[/tex]

[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]

[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]

[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]

[tex]\rightarrow\mathsf{3x +6=30}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{3x +6-6=30-6}[/tex]

[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]

[tex]\mathsf{30-6=\bf 24}[/tex]

[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]

[tex]\mathsf{3x = 24}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]

[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]

[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

The formula for the perimeter of a kite = 2(a + b)

Where a and b where the side length of the kite

Answer:

D

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

160/4=40

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:

-16

Step-by-step explanation:

4×(-2)²×(-1)³

=4×4×-1

=-16