a wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills Is found and returned to its owner. the wallets owner will reward the finder with 1 bill drawn randomly from the wallet. what is the probability that the bill drawn will be a twenty-dollar bill?

Answers

Answer 1

The formula for probability is [tex]\frac{number of ideal outcomes}{number of possible outcomes}[/tex]. Because there are 8 $20 bills, there are 8 ideal outcomes and 20 possible outcomes. THis gives us [tex]\frac{8}{20}[/tex] which can be simplified to [tex]\frac{2}{5}[/tex].

The answer is 2/5 or 0.4 or 40%.

Answer 2

Answer:

2/5

Explanation:

There are 5+7+8 = 20 total bills.

Out of these, 8 are twenty-dollar bills.

The probability of choosing 1 twenty-dollar bill is then 8/20, which simplifies to 2/5.


Related Questions

A jar of pickles has a circumference of 13.973 cm. What is the approximate diameter of the jar?
Use 3.14 for π.



A.
4 cm


B.
4.25 cm


C.
4.45 cm


D.
4.55 cm


Answers

C. 4.45 cm. you take the circumference and divide it by pi to find the diameter

[tex]c = d \times \pi \\ c = 13.973 \\ d = \frac{13.973}{3.14} \\ d = 4.45[/tex]

graph a function that is undefined

Answers

A graph that is undefined has a slope of [tex]x=0[/tex]

Graph the function as usual, but skip the undefined point. You may want to graph the surroundings to see how the function behaves near the undefined point.

Just graph the function as usual, but skip the troublesome point. You may want to graph the surroundings of the said undefined point.

For example, when you're graphing  y=1/x, we know that when  x=0 the function is undefined, so just skip it. But, you can draw the surroundings of  x=0, for example, when  x=±1,±0.1,±0.01,±0.001,... and see what happens to the function as it approaches  x=0.

This is an example of the plot. As you can see, you just skip over when  x=0, but still plot the rest of the domain. You can see that the function behaves erratically near  x=0.

Another example: try to plot f(x)=(x2−4)/(x−2). If you plotted it correctly, you should see a 'straight-line', except that it was punctured on the point  (2,4), because f(x) wasn't defined for  x=2. In this case, you just draw a hollow circle on that point (like: o ), to show that the function is not exactly continuous and there is a hole on point  (2,4).

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Question:

How do you graph a point of a function if it is undefined?

2cosx-1=.0068 find x in degrees

Answers

Answer:

60 degree

Step-by-step explanation:

adding 1 both sides of equation

2cos x -1+1 = 0.0068 +1

2cosx = 0.9932

dividing by 2 both sides

cosx = 0.9932 / 2

cosx =0.4966

x= cos^-1(0.4966)

x=60 degree


tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets

Answers

5 adults, 3 students.

Answer:

5 adult and 3 student tickets were purchased

Explanation:

Let x be the number of adult tickets

Then 8−x is the number of student tickets

7.25x+5.5(8−x)=52.75

7.25x+44−5.5x=52.75

1.75x=8.75

x=5

Therefore, 5 adult and 3 student tickets were purchased.



Does the function have a constant rate of change?

Answers

Yeah, it's constant. The plane's going down 3000 every min.

Square root of 3^4 or √3^4
A.1
B.2
C.3
D.4

Answers

Answer:

answer is 9.

Step-by-step explanation:


Divide 28x3 + 42x2 − 35x by 7x

Answers

(28x^3 + 42x^2 - 35x) / 7x

** keep in mind, when dividing exponents, u subtract the exponents

4x^2 + 6x - 5 <==

mark brainliest plsss

Answer:

[tex]4x^{2} +6x -5[/tex].

Step-by-step explanation:

Given  :  28x³ + 42x² − 35x .

To find : Divide by 7x .

Solution : We have given   28x³ + 42x² − 35x .

Divide by 7x

28x³ + 42x² − 35x ÷ 7x.

Now Distribute 7x over 28x³ + 42x² − 35x to divide the terms.

[tex]\frac{28x^{3}}{7x} +\frac{42x^{2} }{7x} -\frac{35x}{7x}[/tex].

[tex]4x^{2} +6x -5[/tex].

Note : on dividing exponent is subtract.

Therefore, [tex]4x^{2} +6x -5[/tex].

How do I calculate the volume of this pyramid?

Answers

V = 1/3 area of base * height

Area of  base = h [(b₁ +b₂)]/2

[(3 + 6) * 4] : 2 =

18 ft²

Volume =

18 * 3 =

54 ft³


triangle ABC is similar to triangle PQR , As shown below :

which equation is correct ?

(DONT ANSWER IS UR NOT SURE )

Answers

Answer:

Option C is correct

Step-by-step explanation:

In similar triangles corresponding sides are in same ratio.

Notice that  sides b and q are corresponding ( they are opposite equal angles)  and so are a and p

The correct equation from the option is b/q = a/p. Hence, option C is correct.

How to express similar sides as a proportion

To make a proportional relationship from the two triangles ABC and PQR given ;

Express corresponding sides as ratios ;

a/pb/q c/r

Using the given sides , the possible proportions are ;

a/p = b/q

b/q = c/r

a/p = c/r

Comparing the ratios with the options given, Only option B gives a correct proportional relationship.

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how many solutions does 5x+6=2x+6+3x-15 have

Answers

*(Step-By-Step)*

[tex]5x+6=5x-9[/tex]        Combine Like Terms

[tex]6=9[/tex]                Subtract [tex]5x[/tex] to both sides

*(Answer)*= No solution because [tex]6[/tex] is not [tex]9[/tex]

Hope this helps

BangtanBoyScouts

What is the antiderivative of e^x^2?

Answers

Answer: The antiderivative of [tex]e^{x^{2}}[/tex] is [tex]\sqrt{\pi} \sqrt{e^{x^2}-1} +C[/tex].

Explanation:

[tex]I=\int{e^{x^2}dx}\\I^2=\int{e^{x^2}dx}\int{e^{x^2}dx}[/tex]

Using dawson integral.

[tex]I^2=\int{e^{x^2}dx}\int{e^{y^2}dy}[/tex]

[tex]I^2=\int{\int{e^{x^2+y^2}dxdy}}[/tex]

Put [tex]x^2+y^2=r^2[/tex]

[tex]I^2=\int{\int{e^{r^2}rdrd\theta}}[/tex]

[tex]\int_{0}^{2\pi}{d\theta}\int_{0}^{x}{re^{r^2}dr}[/tex]

Use substitution method and sunbstitute [tex]r^2=t[/tex].

[tex]\int_{0}^{2\pi}{d\theta}\int_{0}^{x^2}{\frac{1}{2}e^tdt}[/tex]

[tex]I^2=\frac{1}{2}|\theta|_{0}^{2\pi}|e^t|_{0}^{x^2}\\I^2=\frac{1}{2}(2\pi)(e^{x^2}-1)\\I=\sqrt{\pi}\sqrt{e^{x^2}-1}[/tex].

Therefore, the antiderivative of [tex]e^{x^{2}}[/tex] is [tex]\sqrt{\pi} \sqrt{e^{x^2}-1} +C[/tex].


The distance from the earth to the sun is 9.3×10 to the 6(power) miles. The distance from earth the moon is 3×10 to the 5th(power) miles. How many times bigger is the distance from earth to the sun than the distance from earth to the moon?

Answers

Answer:

NO the Earth to Sun distance is 9.3 x 10^7 miles.

Earth to Noon distance is 2.4 x 10^5 miles

9.3 x 10^7 is 387.5 times larger than 2.4 x 10 ^ 5



Step-by-step explanation:


Answer:

31 times bigger is the distance from earth to the sun than the distance from earth to the moon.

Step-by-step explanation:

Given : The distance from the earth to the sun is 9.3×10 to the 6(power) miles. The distance from earth the moon is 3×10 to the 5th(power) miles.

To find : How many times bigger is the distance from earth to the sun than the distance from earth to the moon?

Solution :          

The distance from the earth to the sun is [tex]9.3\times 10^{6}[/tex] miles.

The distance from the earth to the moon is [tex]3\times 10^{5}[/tex] miles.

To know, times bigger is the distance from earth to the sun than the distance from earth to the moon is given by,

[tex]n=\frac{9.3\times 10^{6}}{3\times 10^{5}}[/tex]

[tex]n=3.1\times 10^{6-5}[/tex]

[tex]n=3.1\times 10[/tex]

[tex]n=31[/tex]

Therefore, 31 times bigger is the distance from earth to the sun than the distance from earth to the moon.

What is y= -1/3x-9 written in standard form

Answers

Simplify 1/3x to x/3

y = -x/3 - 9

Add 9 to both sides

y + 9 = -x/3

Multiply both sides by 3

(y + 9) * = -x

Regroup terms

3(y + 9) = -x

Using the formula, rewrite in standard form

Answer: x + 3y = -27

Final answer:

To convert the equation y = -1/3x - 9 to standard form, you need to eliminate the fraction and rearrange the equation. Multiply both sides of the equation by 3 to get 3y = -x - 27. Rearrange the equation to get x + 3y = -27, which is the standard form.

Explanation:

The equation y = -1/3x - 9 can be written in standard form as Ax + By = C, where A, B, and C are constants. To write the equation in standard form, we need to eliminate the fraction by multiplying both sides of the equation by 3. This gives us 3y = -x - 27. Rearranging the equation, we get x + 3y = -27, which is the standard form.

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7 plus the sum of a number x and 5 write this phrase as an expression

Answers

The equation is: 7 + (x + 5)

The expression for '7 plus the sum of a number x and 5' is written as '7 + (x + 5)'.

The phrase '7 plus the sum of a number x and 5' can be written as an algebraic expression. This involves taking the sum of the variable x and the number 5, and then adding 7 to this sum. In mathematical terms, this is expressed as 7 + (x + 5).

Let's break it down step by step:

First, identify the sum: x + 5.

Next, add 7 to the result of this sum.

So, if we were to evaluate this expression for x = 4, we would calculate it as follows:

7 + (4 + 5) = 7 + 9 = 16

can someone write me a original geometry poem? (just a short poem about geometry or geometric shapes!) thanks in advance!

Answers

As I look upon the square,
I ponder on what I see there.
It has four sides of equal length,
but that cannot be its only strength?
The area is easy to find,
Just square one side and use your mind.
The triangle is more complex.
Knowing the difference kinds will help you in your projects.
Each side adds up to 180 degrees,
Whether it's acute, right, obtuse, scalene or even an isosceles.
These two shapes are only the beginning,
I'll learn even more and keep on winning!

GIVING AWAY 35 POINTS! What is the graph of this function?

Answers

Answer:

Im pretty sure its graph A

Step-by-step explanation:

Answer:

graph A

Step-by-step explanation:

Find -7 -(-3)=
What’s the answer explain !

Answers

Because there are 2 minus signs next to each other, we can replace both of them with a single plus sign.

This changes the equation to -7 + 3

Adding to a negative number makes the number appear smaller, so 3 + -7 = -4.

Remove parenthesis

-7=3

Calculate the sum

-4

6a−3b=5b solve for a:b ratio plz help

Answers

a= 472.6 hope this can help

The expression 6a − 3b = 5b after solving for a:b is 4:3 after using arithmetic operation.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that:

The expression is:

6a − 3b = 5b

To solve the above expression:

6a = 5b + 3b

6a = 8b

a/b = 8/6

As we know,

The expression can be defined as the combination of constants and variables with mathematical operators.

a:b = 8: 6

a:b = 4: 3

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variabe.

Thus, the expression 6a − 3b = 5b after solving for a:b is 4:3 after using arithmetic operation.

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unit 15subtract fraction 1/3 - 1/6

Answers

Answer:

1/6

Step-by-step explanation:

First, you want the denominators to be the same so you can subtract them.

1/3=2/6

2/6-1/6=1/6

Hope this helped!

The graph of the distance a car travels at a constant speed passes through the points (0,0) and 2,136). The x scale is hours and the y scale is miles. How fast is the car traveling?

A. 134 miles per hour
B. 68 miles per hour
C. 34 miles per hour
D. 136 miles per hour

Answers

We are given that

y-scale is a distance in miles

x-scale is a time in hours

and we are given

The graph of the distance a car travels at a constant speed passes through the points (0,0) and (2,136)

so, points would be

(0,0)

x1=0 , y2=0

(2,136)

x2=2 , y2=136

so, slope would be speed

because speed = distance / time

we can use slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

now, we can plug values

[tex]m=\frac{136-0}{2-0}[/tex]

[tex]m=68[/tex] miles per hour

so, option-B..........Answer


Answer:

B

Step-by-step explanation:

Round 395.9 to the nearest whole number

Answers

396 because if the decimal point is 5 or over when it's supposed to be rounded it goes up but if its 4 or down it goes down

396 is the answer since it's closer to the 10's than the 0s

An airplane is traveling at a speed of 200 km/h. Compute the speed of the airplane in m/s.

A) 3.3 m/s
B) 33.3 m/s
C) 55.6 m/s
D) 111.20 m/s

Answers

Given the speed is 200 km /hr


use 1 km  = 1000 meter

1 hr = 3600 seconds

so

[tex]200 km/hr = \frac{200*1000}{1*3600}   m/s[/tex]

simplifies to

[tex]\frac{5000}{9} m/s[/tex]

[tex]55.6 m/s[/tex]

so option C

Answer:  C) 55.6 m/s  

Step-by-step explanation:  200km/1hr x 1000m/1km x 1hr/60min x 1min/60s = 55.6 m/s

If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.

an above ground swimming pool is leaking. after 1/2 hour the pool has leaked 7/8 of a gallon of water. how many more gallons of water per hour is the swimming pool leaking?

Answers

The swimming pool is leaking 1 6/8 gallons of water per hour.

Answer:

1.75 gallons/hour

Step-by-step explanation:

Thinking process:

The leaking amount in a half hour = [tex]\frac{7}{8}[/tex]

The amount of water that leaks per hour = [tex]2 * \frac{7}{8} \\= \frac{7}{4}\\ = 1.75 gallons/hour[/tex]

Solve for this equation 80=3y+2y+4+1

Answers

80 = 3y + 2y + 4 +1

80 = 5y + 5

80 - 5 = 5y

75 = 5y

75 = 5y/5y

75/5 = y

15 = y

Solve the inequality 1 ≤ s -8

Answers

1 ≤ s -8

1+8 ≤ s

9. ≤ s

The value of the variable s is greater than or equal to 9.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The inequality is given below.

1 ≤ s - 8

Simplify the inequality, then the value of the variable s will be

1 ≤ s - 8

1 + 8 ≤ s

9 ≤ s

Thus, the value of the variable s is greater than or equal to 9.

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What is the greatest number of 18 and 9

Answers


greatest number for what

A line segment is drawn between the points (5,8) and (-1,6). What are the coordinates of the midpoint of the segment?

Answers

The formula of a midpoint between two points:

[tex]M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have (5, 8) and (-1, 6).

Substitute:

[tex]\dfrac{5+(-1)}{2}=\dfrac{4}{2}=2\\\\\dfrac{8+6}{2}=\dfrac{14}{2}=7[/tex]

Answer: The coordinates of the midpoint of the segment are (2, 7).

Factor the expression. k2 + 5kf – 50f2

Answers

Answer:

We have

k^2 - 25f^2 + 5kf - 25f^2 =

k^2 - (5f)^2 + 5f( k - 5f) =

( k - 5f )( k + 5f ) + 5f( k - 5f ) =

( k - 5f )( k + 5f + 5f ) =

( k - 5f )( k + 10f );

Step-by-step explanation:


Answer:  The required factored form of the given expression is [tex](k-5f)(k+10f).[/tex]

Step-by-step explanation:  We are given to factor the following quadratic expression :

[tex]E=k^2+5kf-50f^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To factor the given expression, we need two integers with sum 5 and product -50 and those two integers are 10 and -5.

The factorization of expression (i) is as follows :

[tex]E\\\\=k^2+5kf-50f^2\\\\=k^2+10kf-5kf-50f^2\\\\=k(k+10f)-5f(k+10f)\\\\=(k-5f)(k+10f).[/tex]

Thus, the required factored form of the given expression is [tex](k-5f)(k+10f).[/tex]

pls help me i need help asap

Answers

The answer is B because you must divide the shape into three sections and get the area of each of the three sections if you follow the lines that you drew on the figure you have three sections the area of the bottom left rectangle is 70 and the area of the large rectangle is 88. The area of the triangle is 42 if you add these three values together you get 200 which is answer B

its's 200 sq feet, I added extra lenghts and the circled numbers are areas for that part of the shape.

What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic equation

Answers

let y = x^2

4y^2 -21y + 20 = 0

solve for y

then substitute back in to get x

Answer:

4y^2 - 21y + 20 = 0

Step-by-step explanation:

As (4x^4 - 21x^2 + 20=0) being a biquadratic equation, meaning it is a 4-degree equation without the terms of degree 1 and 3.

To solve this particular case you only need to replace the variables of degree 4 and 2 for a new variable of degree 2 and 1 and solve it as regular quadratic equation and then undo the change.

* Using a new variable we can rewrite the equation:

Let y be the new variable;

y= x^2, then y^2= x^4

Then we have;

4y^2- 21y+20=0

Solve for y and then find X which will be the roots for the biquadratic equation.

 

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