Each of 100 people receives a random item from a grocery store and assigns it a value between 1 (low) and 10 (high). They trade those items among themselves for items they prefer rather than those they randomly received and then assign a second value (again, 1 to 10) to the item that they end up with after the trading concludes. How would the sum of those values before trading compare with the sum after trading

Answer:

y = 8x+6

Step-by-step explanation:

First find the slope since it is a linear function

m = (y2-y1)/(x2-x1)

    = (18-2)/(1 1/2 -  -1/2)

    =16 /  (1 1/2 +1/2)

    = 16/2

  = 8

The linear function is in the form

y = mx+b where m is the slope

y = 8x+b

Substitute the other point into the equation to determine b

10 = 8(1/2) +b

10 = 4+b

10-4 = b

6 = b

y = 8x+6

Answer:

40

60% of 40 is 24

so the answer would be 40

Answer:

[tex]speed = \frac{Distance}{time}[/tex]

York Canal

Distance = 5miles

Time = 15 minutes

[tex]speed = \frac{5}{15} = \frac{1}{3} miles\ per \ minute[/tex]

Stover Lake

Same speed  , S = 1/3 miles per minute

Time = 30minute

[tex]Distance = speed \times time = \frac{1}{3}\times 30 = 10 miles[/tex]

[tex]Distance_{York} = 5 miles\\\\Distance_{Stover} = 10 miles\\\\[/tex]

Clearly, Distance travelled in York in half the distance travelled in Stover

option. 3

Answer:

[tex] {7}^{3} = 7 \times 7 \times 7 = 147 {m}^{3} \\ to \: calculate \: the \: volume \: of \: a \: cube \: we \: need \: to \: use \: this \: formula \\ {x}^{3} \\ x = side \: length[/tex]

Answer:

2m/s²

Step-by-step explanation:

acceleration = change in velocity/time taken

a  = v-u/t

Given

v = 15m/s

u = 5m/s

time t = 5secs

Substitute

a = 15 - 5/5

a = 10/5

a = 2m/s²

Hence Ellie’s acceleration is 2m/s²

D is your answer I think

Step-by-step explanation:

D is your answer

Step-by-step explanation:

[tex]a) \: - \frac{3}{7} a \: \: \times \: - \frac{21}{15} b[/tex]

[tex] = \frac{ 3}{5} ab \: (ans)[/tex]

[tex]b) \: 3xy(5 {x}^{2} {y}^{2} - 4yz)[/tex]

[tex] = 3xy \times 5 {x}^{2} {y}^{2} - 4yz \times 3xy[/tex]

[tex] = 15 {x}^{3} {y}^{3} - 12x {y}^{2} z \: (ans)[/tex]

Answer:

The answer is A

Step-by-step explanation:

We can tell by finding out what each points coordinates are.

Its quite hard to describe how to do this on a phond yet you use the rule of

X coordinate first, then Y coordinate.

so (-5,5). -5 is the x coordinate

and 5 is the y coordinate.

Graphs can be quite difficult but for now, just remember x is across and y is up.

Good luck with future questions!

Answer:

maybr 6,9,0

Step-by-step explanation:

Answer:

X=5/2 , y=2

Step-by-step explanation:

Sorry if I'm not correct

F4 ke?

Answer:

Step-by-step explanation:

volume=area of side triangle×distsnce between triangles

=1/2×20×8×5

=400 in³

Answer:

the answer would be 400

Step-by-step explanation:

20×8×5×.5

Answer:

B

Step-by-step explanation:

This is pretty self explanatory and easy..

Her unit cost per shirt is,

= $9.10

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Jenna's unit cost per shirt is, $9.10

Here, We have;

Cost for each shirt = $7

Cost for ink per shirt = $2

Cost of a bag = $0.10

Hence, Cost of T-shirt is,

= Cost for each shirt + Cost for ink per shirt + Cost for bag

= $7 + $2 + $0.10

= $9.10

Thus, Her unit cost per shirt is,

= $9.10

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Answer:

formula of slope if angle is given:

Tan (angle given)

Step-by-step explanation:

Part (a)

x and y are nonnegative whole numbers.

3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds.  Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.

In short, we end up with the equation 3x+2y = 34

Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.

The second equation is 5x-2y = 14

------------

Answer:

3x+2y = 34

5x-2y = 14

Both equations are needed to form this particular system.

===================================================

Part (b)

We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).

===================================================

Part (c)

Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.

After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.

Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y

3x+2y = 34

3(6)+2y = 34

18+2y = 34

2y = 34-18

2y = 16

y = 16/2

y = 8

So we can see that Pat caught 8 trout as well.

The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.

Solution: (x,y) = (6,8)

Interpretation: Pat caught 6 bass and 8 trout

Answer:

30 ft²

Step-by-step explanation:

Area of a paralleogram formula:

A = bh

A = (6)(2)

A = 12

Area of a rectangle:

A = bh

A = 6(3)

A = 18

Combined:

12 + 18

30

Answer:

you have to add all the angles of a triangle so the value of m is 6

Answer:

4 9/10

Step-by-step explanation:

Answer:

(-4,0) (-5,0) and (1,0)

Step-by-step explanation:

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

tan2 theta = 2tanθ/1-tan²θ

Get tan θ

sinθ = opp/hyp

adj = √3²-1²²

adj = √9-1

adj = √8

tanθ = opp/adj = 1/2√2

tan2 theta = 2(1/2√2/1-(1/2√2)²

tan2θ = 1/√2/1-1/8

tan2θ = 1/√2/7/8

tan2θ =  8/7√2

Rationalize

tan2θ = 8√2/14

tan2θ = 4√2/7

Answer:

Profit earn from selling all four cars = $8

Step-by-step explanation:

Given:

Purchase price of toy car = $3

Number of car purchases = 4

Selling price of each car = $5

Find:

Profit earn from selling all four cars

Computation:

Total amount of purchase = 3 x 4

Total amount of purchase = $12

Total amount of sales = 5 x 4

Total amount of sales = $20

Profit = sales cost - purchase cost

Profit earn from selling all four cars = 20 - 12

Profit earn from selling all four cars = $8

Answer:

$8

hello

Step-by-step explanation:

knk ayşe bana burdan yaz tm

(senin hesap silinmiş(türkiyedeki))

Answer:

so what should I do

Step-by-step explanation:

hope it helps

Answer:

3,6,12,24.48,96,192

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

4 ≥ x

Step-by-step explanation:

14 ≥ 3x + 2

14 - 2 ≥ 3x

12 ≥ 3x

4 ≥ x

Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.

In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Given:

14 ≥ 3x+2

Switch sides

3x+2 ≥ 14

Subtract 2 from both sides of the equation, we get

3x + 2 - 2 ≥ 14 - 2

Simplifying the above equation

3x ≥ 12

Divide both sides by 3, we get

3x/3 ≥ 12/3

x ≥ 4

Therefore, the value of x ≥ 4.

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Answer:

your answer is B

Step-by-step explanation:

Answer:

24/ 10

Step-by-step explanation:

We know,

tan θ = opposite/adjacent

∴ tan Z =  24/ 10