For a school fundraiser Paul bought a big box of ducks and wrote prize amounts, in dollars on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and$100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500. Paul then put all of the rubber ducks in his schools swimming pool. At the fundraiser participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the duck, and then they threw the duck back into the pool before the next persons turn. Since the ducks were returned to the pool after they were caught the chances of winning any particular amount remained the same. Andrew paid $15 to play the game once. If we assume he randomly selected a duck, what is the probability that Andrew won more money than he paid to play the game?

Answer:

x = 12.5

Step-by-step explanation:

Based on the interesting chords theorem, we would have the following:

2*x = 5*5

2x = 25

Divide both sides by 2

x = 25/2

x = 12.5

Answer:

yes

Step-by-step explanation:

The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number

Since in the given data set as we can see that the 100 would be appeared 6 times

So this represent that the mode is 100

So here the mode would be the good measure

Answer:

53

Step-by-step explanation:

Complementary angles are summed up to be 90 degrees. If we already know that one if the angles is 37, all we need to do is subtract 37 from 90.

90-37 = 53

Hope this helps.

Answer:

86

Step-by-step explanation:

(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86

Answer:

Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its ... pendulum to complete one full back-and-forth motion – from its rightmost point back to its ... A pendulum with a string of length 2 m has a period of about 2.8 s. ... A pendulum with a period of 1.8 s on Earth is moved to another planet.

Step-by-step explanation:

Answer:

show more picture pls!

Step-by-step explanation:

Answer:

15 a^3 b - 35ab^3

taking common

5ab(3a²-7b²)

Answer:

[tex] \huge \boxed{ \boxed{ \red{3ab(5 {a}^{2} - 7 {b}^{2} )}}}[/tex]

Step-by-step explanation:

and

we are done

Answer:

the 3rd option because Imma fresh man bro

Answer:

1,769

Step-by-step explanation:

The computation of the sum is shown below:

Future value = Present value × (1 + rate of interest)^number of years

2,590 = Present value × (1 + 0.10)^4

2,590 = Present value × 1.10^4

So, the present value is

= 2,590 ÷ 1.10^4

= 2,590 ÷ 1.4641

= 1,769

Answer:2721

Step-by-step explanation:

Answer:

the answer is x=5

Hope this helps :)

Answer:

The first one . +++ --

Step-by-step explanation:

Answer: 30u

Step-by-step explanation:

If GY is 6u long, x=6. (4x-2) is 4x6 which is 32, 32 - 2 = 30u long

(U = units)

Answer:

y = 41

Step-by-step explanation:

y=4x+5 cuando x=9

y=4*9+5

y=36+5

y=41

Answer:

here

Step-by-step explanation:

Answer:

Step-by-step explanation:

The division is given below.

The quotient is 125 and the remainder is 0.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1875 ÷ 15

This can be written as,

 15 ) 1875 ( 125

        15    

          37    

          30

            75

            75

              0

Thus,

The quotient is 125 and the remainder is 0.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

The correct answer is B. $59.05.

Step-by-step explanation:

Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:

1/2 = 0.5

46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X

46.32 + 3.474 + 9.264 = X

49.79 + 9.26 = X

59.05 = X

Thus, the total amount that I must pay is $ 59.05.

Answer:

b

Step-by-step explanation:

trust

Answer:

18

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

A variable is a letter, for example x, y or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

it would be 45 if you add it as 21 but you didn't put another symbol hope I can help :)

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

8

x

−

12

<

8

x

+

8

Step 2: Subtract 8x from both sides.

8

x

−

12

−

8

x

<

8

x

+

8

−

8

x

−

12

<

8

Step 3: Add 12 to both sides.

−

12

+

12

<

8

+

12

0

<

20

Answer:

D.288

Step-by-step explanation:

6×4×12

Multiply 6 and 4 to get 24.

24×12

Multiply 24 and 12 to get 288.

288

Answer:

55/4

Step-by-step explanation:

Answer:

2 pounds are left.

Step-by-step explanation:

12 pounds divided into 6 parts (or sixths) = 2 pounds each. 5 of those 6ths were used, so 10 pounds used. 2 pounds are left.

Alternately, multiply 12 x 5 for your numerator = 60, divide by 5, your denominator, and get 10 pounds used.

Answer:

(2y−3)(y+1) hope this helps!

The function g(x) is a discrete function. It is continuous between -7 to -2, -2 to 3, and 3 to 8. And the open circle at -7, -2, 3, and 8. And the jump of the g(x) is 4 units after every interval.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

[tex]g(x) = \left\{\begin{matrix} \ \ \ \ 6, -7 < x < -2\\\ \ \ 2, -2 < x < 3\\-2, 3 < x < 8\\\end{matrix}\right.[/tex]

The function g(x) is a discrete function. It is continuous between -7 to -2, -2 to 3, and 3 to 8. And the open circle at -7, -2, 3, and 8.

And the jump of the g(x) is 4 units after every interval.

The graph is shown below.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

Step-by-step explanation:

I got 100% on this test

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC = [tex]\sqrt{324-81}[/tex]

AC = [tex]9\sqrt{3}[/tex] cm  

sin(C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{AB}{BC}[/tex]

         = [tex]\frac{9\sqrt{3}}{18}[/tex]

sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex]

sin(B) = [tex]\frac{AC}{BC}[/tex]

         = [tex]\frac{9}{18}[/tex]

         = [tex]\frac{1}{2}[/tex]

cos(B) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{9\sqrt{3}}{18}[/tex]

          = [tex]\frac{\sqrt{3} }{2}[/tex]

tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{AC}{AB}[/tex]

          = [tex]\frac{9}{9\sqrt{3} }[/tex]

          = [tex]\frac{1}{\sqrt{3} }[/tex]

tan(C) = [tex]\frac{AB}{AC}[/tex]

          = [tex]\frac{9\sqrt{3}}{9}[/tex]

          = [tex]\sqrt{3}[/tex]

Therefore, Options (1), (3) and (4) are the correct options.

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC =

AC =  cm  

sin(C) =

        =

        =

sin(C) =

sin(B) =

        =

        =

cos(B) =

         =

         =

tan(B) =

         =

         =

         =

tan(C) =

         =

         =

Therefore, Options (1), (3) and (4) are the correct options.Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation: