There are 30 flavors and you can mix up to 3 of them. How many flavor possibilities are there? You can't mix the same flavors more than once in one drink. Show your work.

Answers

Answer 1

Answer: $^(30)C _(3) = (30!)/((30 - 3)!3!) \n = (30!)/(27! * 3!) \n = (30 * 29 * 28 * 27 * 26 * 25 * . . .* 3 * 2 * 1)/(27 * 26 * 25 * . . . * 3 * 2 * 1* 3 * 2 * 1) \n =5 * 29 * 28 \n =4060$
There are 4060 flavor possibilities.

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Runners race around a rectangular park during the city marathon. The length of the park is 6 miles. The width of the park is 7 miles. Which is the correct unit of measurement to use when figuring out how many miles someone would run during the marathon? A. miles3 B. miles C. miles2

Answers

Answer=B

The question asks us to the miles someone would run during the marathon. Since, the marathon goes around the park, the question is asking for the perimeter of the rectangular park. The perimeter for a rectangle is:

P=2(l+w)
P=2l+2w

The ending unit of measurement would be miles.

P=2(6+7)
P=2(13)
P=26 miles

Answer:

it is b because i did i quzi

Step-by-step explanation:

Identify the equation of the circle that has its center at (10, 24) and passes through the origin.

Answers

we are given

center=(h,k)=(10,24)

so,

h=10 and k=24

and it passes through origin

so, we can find radius

radius will be distance between (10,24) and (0,0)

$r=√((10-0)^2+(24-0)^2)$

$r=26$

now, we can use standard equation of circle

$(x-h)^2+(y-k)^2=r^2$

so, we will get equation as

$(x-10)^2+(y-24)^2=26^2$ ..........Answer

Answer: (x−10)2+(y−24)2=676

Step-by-step explanation: it is right

The cost of 2 television and 3 DVD player is $1,421 . The cost of 1 DVD player is half the cost of 1 television . What is the cost of 1 television ?

Answers

T=cost of one televisionD= cost of one DVD player2t+3d= 1421D=t(1/2)Replace d by t(1/2)2t+3(t1/2)= 14213.5 t = 1421T= 691.7 $Good luck

For homeWor, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she already finished?

Answers

Answer:

9:6

Step-by-step explanation:

2(2x-10)-8=-2(14-3x)

Answers

⇒ Solution

1) Simplify
4x−20−8=−28+6x

2) Simplify 4x−20−8 to 4x−28
4x−28=−28+6x

3) Group all terms
4x−28=6x−28

4) Cancel −28 from eachside
4x=6x

5) Move all of the terms to one side
4x−6x=0

6) Simplify equation 4x−6x to −2x
−2x=0

7) Divide each side by −2
x=0

What is the area of the figure below?
Haaaaalp please

Answers

$A_1=6\cdot5=30\ [in^2]\n\nA_2= (1)/(2) \cdot[15+(7+5)]\cdot4=2\cdot(15+12)=2\cdot27=54\ [in^2]\n\nA=A_1+A_2=30+54=84\ [in^2]$

-- The little block on top is 6-high by 5-wide = 30 square inches.

-- The dotted line across the middle is 5 inches long.

-- The long skinny block on the bottom is (10-6)=4-high by 12-wide = 48 inches² .

-- The height of the triangle at the end is (10-6) = 4 inches.
The base of the triangle is (15 - 7 - 5) = 3 inches.
The area of the triangle is (1/2)(base)(height) = 6 inches².

-- Sum of the the 3 sections = (20 + 48 + 6) = 74 square inches.

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