The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money do you expect the school to pay out in prizes? *

Answer:

Part 1

The mistake is Step 2: P + 2·x = 2·y

Part 2

The correct answer is

Step 2 correction: P - 2·x = 2·y

(P - 2·x)/2 = y

Step-by-step explanation:

Part 1

The student's steps are;

Step 1; P = 2·x + 2·y

Step 2: P + 2·x = 2·y

Step 3: P + 2·x/2 = y

The mistake in the work is in Step 2

The mistake is moving 2·x to the left hand side of the equation by adding 2·x to P to get; P + 2·x = 2·y

Part 2

To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;

Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y

∴ P - 2·x = 2·y

(P - 2·x)/2 = y

y = (P - 2·x)/2

Answer:

Step-by-step explanation:

take 43 degree as reference angle

using tan rule

tan 43 = opposite / adjacent

0.93 = x / 56

x = 56/0.93

x = 60.21

x = 60.2

Answer:

B

Step-by-step explanation:

4 scores add all together divided by 4 needs to be greater or equal to his goal

Answer:

x² + xy - 3x + 2y - 10

Step-by-step explanation:

x(x + 2) + y(x + 2) - 5(x + 2)

x² + 2x + y(x + 2) - 5(x + 2)

x² + 2x + xy + 2y - 5(x + 2)

x² + 2x + xy + 2y - 5x - 10

x² - 3x + xy + 2y - 10

x² + xy - 3x + 2y - 10

Answer:

No, the poster would not fit in the frame

Step-by-step explanation:

A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.

A square is a quadrilateral in which all sides are equal.

Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:

Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²

Since the square frame has the same area as the rectangular frame, hence:

Area of square frame = length * length

length² = 1200

length = √1200 = 34.64

Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.

Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.

Answer:

GA = Ray

Step-by-step explanation:

EB = Line

AB = Line Segment

Answer:

slope = y2 -y1/x2 -x1

= -9 - 6/-1 - (-9)

= -15/8

= -1.875

Answer:

biuwrou cb irebcjhdhi qiiqbc uof hwtgapkvbzoire oicsboeoubdqubvugfh vxjcwdhwocddjhcqwugcgwcidcdbvubirjgcuiscidvibszj uschosclhsihfhrvghsuviefytcurdyg/cvadhrhegvtxj hachjcskpkevjkgrjtbwfn. crjcbejcbjthrhs d .

if you add 288cm and multiply by 216 then you shall get 433 and so if you

Answer:

x = 49.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta  = opp /adj

tan x = 14/12

Taking the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (14/12)

x =49.39870535

x = 49.4

Answer:

x = 49.4

Step-by-step explanation:

It's right triangle , so we can use trigonometry functions

tan θ = opposite side / adjacent side

tan x = 14 / 12

Taking inverse tan of each side

[tex] \small \sf \leadsto \: tan { }^{ - 1} (tan \: x \: ) = tan \: {}^{ - 1} ( \frac{14}{12}) \\ [/tex]

x = 49.39870535

Round nearest tenth of degree = 49.4

Given:

[tex]f=\{(1,2),(2,3),(5,6),(7,8)\}[/tex]

To find:

The values of f(2) and f(5).

Solution:

If an ordered pair [tex](x,y)[/tex] is in the function [tex]f[/tex], then [tex]f(x)=y[/tex].

In the given set of ordered pairs one ordered pair is (2,3). So, by using the above definition, we get

[tex]f(2)=3[/tex]

In the given set of ordered pairs one ordered pair is (5,6). So, by using the above definition, we get

[tex]f(5)=6[/tex]

Therefore, the value of f(2) is 3 and the value of f(5) is 6.

Answer:

Hello! answer: 10

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10

10 × 10 = 100 therefore x = 10 hope that helps!

Answer:

500000

Step-by-step explanation:

yeah boi

Answer:

x^2

Step-by-step explanation:

The greatest common factor of 5x^2, 10x^3, 6x^5:

For the numbers, there is no greatest common factor except for 1.

For the variables, the furthest we can go is x^2.

In conclusion, the greatest common factor of 5x^2, 10x^3, 6x^5 is x^2.

Answer:

option D

Step-by-step explanation:

4 hours = 40 miles/per hour

? hour = 55 miles/per hour

step one, find rate :

40 divided by 40

1 hour = 10 miles/per Hour

If 4 x 10 = 40

then  n x 10 = 55

It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles

Answer is Option D

Answer:

6×4

2×12

8×3

Step-by-step explanation:

I know!

Option C: Three sides measuring 5 in, 12 in, and 14 in.

7.5cm2

5x3cm=15cm2 because of base x height/2 you would do

15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2

Answer:

D.

Step-by-step explanation:

Area of a triangle is bh/2

So your base is 5 and your height is 3.

So you do 5*3 which is 15.

And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16

So 7.5 times 2 is 15

Answer:

880

Step-by-step explanation:

2/5 times 2200

Answer:

880 scratched CD's

Step-by-step explanation:

2/5 = x/2,200

5x = 4,400

/5 = /5

x = 880

Answer:

a=1

Step-by-step explanation:

-20=-8(a+4)-5(1-5a)

Distribute

-20 = -8a -32 -5 +25a

Combine like terms

-20 =17a -37

Add 37 to each side

-20+37 = 17a-37+37

17 = 17a

Divide by 17

17/17 = 17a/17

1= a

two real solutions

b2-4ac>0

one real solutions and one imaginary solution

b2-4ac=0

no real solution

b2-4ac<0

a=7

b=3

c=8

(3)^2-4(7)(8)=-215 no real solution

Answer:

x = 9

Step-by-step explanation:

Corresponding sides are in proportion, that is

[tex]\frac{x}{24}[/tex] = [tex]\frac{3}{8}[/tex] ( cross- multiply )

8x = 72 ( divide both sides by 8 )

x = 9

Answer:

x=9

Angles = 50

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

4x+14 = 6x-4

Subtract 4x from each side

4x+14-4x = 6x-4-4x

14 = 2x-4

Add 4 to each side

14+4 = 2x-4+4

18 =2x

Divide by 2

18/2 =2x/2

9 =x

The angles are equal

4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50

Answer:

1 ≥ n

Step-by-step explanation:

30 ≥ 5(6n)

Distribute

30 ≥ 30n

Divide each side by 30

30/30 ≥ 30n/30

1 ≥ n  

30 >= 5(6n)

Divide both sides. Y 5:

6 >= 6n

Divide both sides by 6:

1 >= n

Rewrite as: n ≤ 1

Answer:

$54.50

Step-by-step explanation:

10% = 10/100

=545 × 10/100

=5450/100

=54.5

The answer is -15.

Because others are rational numbers but not integers.

-15 is the only rational number and integer.