Problem 10
(a) A teacher selects a team of three from a group of students. She also
selects a team of two (students can be in more than one team). The
teacher notices that there are twice as many ways of choosing the
team of three as there are the team of two. How many students are
in the group?
(b) For another group of students, there are three times as many teams
of three which can be selected as there are teams of two. How many
teams of three can be selected from this group?

Answer: the equation is y = -5x/6 - 2

Step-by-step explanation:

x1 = -6

y1 = 3

x2 = 6

y2 = -7

now

m(slope) = rise/run = (y2-y1)/(x2-x1)

   = (-7-3)/(6-(-6))

  =  -10/12

   = -5/6

now

y = mx+ b

-7 = m*6 + b

or, -7 = -5/6*6 + b

or, -7 = -5 + b

so, b = -2

now

y = mx +b

y = -5/6*x + (-2)

y = -5x/6 - 2

Answer:

y = -5/6 × x - 2 = -5x/6 - 2

Step-by-step explanation:

we have two marked points with seemingly integer coordinates for x and y.

the equation of a line is

y = a×x + b

now, we only need to put the x and y values pairs into this equation and calculate a and b.

P1 = (-6, 3)

P2 = (6, -7)

based on what I can see on the picture.

starting with P1

3 = a×-6 +b

b = 3 + a×6

then with P2

-7 = a×6 + b = a×6 + 3 + a×6 = a×12 + 3

-10 = a×12

a = -10/12 = -5/6

=>

b = 3 + a×6 = 3 + -5/6 × 6 = 3 - 5 = -2

so, the line equation is

y = -5/6 × x - 2 = -5x/6 - 2

Answer:

Yes.

Brainliest, please!

Step-by-step explanation:

If we try to divide 932,920 by 4, we get 233,230, which is a whole number.

Answer:

Step-by-step explanation:

Yes!

Done without a calculator. Just look at the last 2 digits. 20 is divisible by 4 so the whole number is. Now you can check it with your calculator.

932920 / 4 = 233230

Hi :)

15x^12/18x^2

Factor 3 out of 15 and 18

3(5x^12)/3(6x^2)

Divide

5x^10/6

Answer:

[tex] \frac{15 {x}^{12} }{18 {x}^{2} } \\ \frac{15}{18} \times \frac{ {x}^{12} }{ {x}^{2} } \\ \frac{5}{6} \times {x}^{12- 2} \\ \frac{5}{6} \times {x}^{10} \\ \frac{5 {x}^{10} }{6} [/tex]

48..................

Answer:

7.57

Step-by-step explanation:

the area = 44/360 × π × r²

7 π = 44/360 × π× r²

eliminate π

7 = 44/360 x r²

r² = 7× 360/44

r² = 57.27

r =√57.27 = 7.57

Answer:

A computer is an electronic device for storing and processing data, typically in binary form, according to instructions given to it in a variable program.

Answer:

a computer ia an electronic device which process raw data and gives meaningful information to the user

Answer:

3 cm

Step-by-step explanation:

Answer:

-53

Step-by-step explanation:

-25-32-14-14+45-13

=53

Answer:

ANS IS -53

AS +45 &-45 WILL GET CANCELLED

AND -14-14-25 WILL GET ADDED

THAT IS -53

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

Answer:

-1/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-3-(-1)/5-(-1)

-2/6

-1/3

Best of Luck!

Answer: (-4,4) is the vertex.  The graph is symmetrical to the x = -4 line.

Step-by-step explanation:

Graph the equation using DESMOS.

Answer:

<ALS - <2 = <1

< LDA + <ADE = 180  degrees

Step-by-step explanation:

<ALS = <1+<2

<ALS - <2 = <1

< LDA + <ADE = 180  degrees since it forms a straight line

Answer:

5.830952 should be the answer  

Step-by-step explanation:

Answer:

B: 0.628

Step-by-step explanation:

Place value rules.

The value of each digit in a number is known as the place value. The number that has 6 tenths, 2 hundredths, and 8 thousandths can be written in the standard form as 0.628. The correct option is B.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

Given 6 tenths, 2 hundredths, 8 thousandths, this can be written in the standard form as,

Standard form = 0.6 + 0.02 + 0.008 = 0.628

Hence, the number that has 6 tenths, 2 hundredths, and 8 thousandths can be written in the standard form as 0.628.

Learn more about the Place Value here:

https://brainly.com/question/27734142

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Answer:

1/3n - 3<6

n < 27

Step-by-step explanation:

1/3n - 3<6

Add 3 to each side

1/3n -3+3<6+3

1/3 n <9

Multiply by 3

1/3n *3 < 9*3

n < 27

Answer:

84.04, 30.14 and 55.95

Step-by-step explanation:

First you add the ratios together then divide by 170 and mutliply each answer by the answer of 170 divided by the sum of 3.5, 1.25 and 2.33

Answer:

84.04, 30.14 and 55.95

Step-by-step explanation:

→ Add the ratios together

3.5 + 1.25 + 2.33 = 7.08

→ Divide the answer by 170

170 ÷ 7.08 = 24.01129944

→ Multiply the answer by 3.5 , 1.25 , 2.33

3.5 × 24.01129944 = 84.04

1.25 × 24.01129944 = 30.14

2.33 × 24.01129944 = 55.95

Answer:

33131

Step-by-step explanation: 34343-1212= 33131

Hi! I'm happy to help!

To find the difference, means to use subtraction. So, to solve this, we need to subtract.

34343-1212=33131

The difference between 34343 and 1212 is 33131.

I hope this was helpful, keep learning! :D

Answer:

a) 16/25

b)3/2

Step-by-step explanation:

all explaination is in picturw below

Step-by-step explanation:

diameter =20inches

radius =20/2=10 in

Surface area of sphere, A = 4πr²

π=3.14

area = 4×3.14×(10)²

area=1,256 in²

Answer:

so speed of aircraft carrier is 30. thank you

The speed of an aircraft carrier is 30 km/h.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, An aircraft carrier left Hawaii traveling west seven hours before a container ship. The container ship traveled in the opposite direction going 5 km/h slower than the aircraft carrier.

Since,

Speed = distance/time

time is 13 hours, 7 hours before the container ship left then the 6 hours container traveled.

Let "s" be the speed of the aircraft carrier

=> d = 13s

Container ship:

time is 6 hours

speed is 5 km/h slower, so s-5

=> d = 6(s-5)

Since they are going in opposite directions, add up the distances to find how far apart they are

=> 13s + 6(s-5) = 540

Now solve for s-

=> 13s +6s -30 = 540

=> 19s = 570

=> s = 30

therefore, the Aircraft carrier was traveling at the speed of 30 km/h and the container ship at the speed of 25 km/h.

Learn more about speed here:

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Answer:

the answer might be 20

Step-by-step explanation:

first you add 3.1 to 3.1 to get 6.2

then you multiply 6.2 by 2.27

then you add the answer you get from that to 3.1+3.1 to get the final length ‍to be 20.274 and that would be 20 in the nearest tenth

Answer:

Z = 3/2

Hope it helps!! :)

Answer:

each watermelon=$1.98, each pound of cherry=$4.2

Step-by-step explanation:

all step by step explaination is in picture.

Answer:

19

Step-by-step explanation:

√325 ≈ 18.02

The next greatest integer is 19.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0.3

Step-by-step explanation:

If you like to round 0.278 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post

Therefore the answer is 0.3

Hope you got it

If you have any question just ask me

If you think this is the best answer please mark me as BRAINLIEST

Answer:

125

Brainliest, please!

Step-by-step explanation:

13x - y

x = 11, y = 18

13(11) - 18

143 - 18

125

Answer:

125

Step-by-step explanation:

13x - y

Substituting x = 11 and y = 18,

=> 13(11) - 18

=> 143 - 18

=> 125

Answer:

all you need to do is to follow steps . you can also use trigonometric ratios to get your unknown angle or using cosine rule and sine rule.

Answer:

Step-by-step explanation:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Answer:

2.5 5 7.5 10 12.5

Step-by-step explanation:

b) 2.5*6=15