Dave has one $20 bill, three $10 bills, and the same number of $5 bills and
$1 bills in his pocket.
a. If Dave has n fives and n ones, write a simplified expression for the total
amount in dollars Dave has in his pocket.
Show your work.
Answer
b. If n = 5, how much money does Dave have?
Show your work.

Answer:

the 2nd one

Step-by-step explanation:

Answer:

12 mpm

Step-by-step explanation:

Because he goes 3 miles in 36 mins so 36/3=12

Answer:

A 1/12 mph

B 30 minutes

Step-by-step explanation:

Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.

According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

Two postulates that aid in determining if two triangles are congruent are ASA and AAS. While AAS stands for "Angle, Angle, Side," ASA stands for "Angle, Side, Angle." If two figures are the same size and shape, they are said to be congruent. In other words, two congruent figures are actually two separate locations of the same figure.

Learn more about Congruency here:

brainly.com/question/11897796

#SPJ4

Answer:

(1 + 3i)(1 - 3i)

Step-by-step explanation:

The product of a complex number and its conjugate produce a real number.

given a ± bi the conjugate is a ∓ bi ← where a and b are real, then

(a + bi)(a - bi)

= a² - b² ← a real number

The only pair of conjugate complex numbers in the list is

(1 + 3i)(1 - 3i)

The pair of complex numbers that has a real-number product is:

(1 + 3) (1-3) = -8

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

For a pair of complex numbers to have a real-number product, their imaginary parts must cancel out when the product is expanded.

Let's expand each pair of complex numbers and see which one has a

real-number product:

(1 + 3) x (61) = 61 + 183i

This product has a non-zero imaginary part, so it is not a real number.

(1 + 3) x (2-3) = -5 + 5i

This product has a non-zero imaginary part, so it is not a real number.

(1 + 3) x (1-3) = -8

This product has no imaginary part, so it is a real number.

(1 + 3) x (31) = 124 + 124i

This product has a non-zero imaginary part, so it is not a real number.

Therefore,

The pair of complex numbers that has a real-number product is:

(1 + 3) (1-3) = -8

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

-35

Step-by-step explanation:

9m+7n

m=-7

n=4

Plug the numbers into the equation

9(-7)+7(4)

-63+28

=-35

The transaction fee of 186,00 would not be enough to determine the amount withdrawn, as different banks have different transaction fees, and they may charge different fees for different amounts withdrawn or for different types of accounts.

Additionally, the currency of the transaction is not specified, which is essential to perform any calculations. The country's imports and exports of products and services, payments to foreign investors, and transfers like foreign aid are all reflected in the current account.

A positive current account indicates that the nation is a net exporter of goods and services, whereas a negative current account indicates that the country is a net importer of goods and services. Whether positive or negative, a country's current account balance will be equal to but the opposite of its capital account balance.

Learn more about current account here:

https://brainly.com/question/32229329

#SPJ1

Answer:

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles

Correct choice is B

Rest Hypotenuse part of triangle=100-64=36

Now

Answer:

10

Step-by-step explanation:

If he runs 50 minutes 50 divided by 5 is 10

The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76

We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.

To find : The probability that a randomly chosen college student exercises in the morning or afternoon

P(M) = 0.25+0.37 = 0.62

P(A) = 0.14+0.37 = 0.51

P(M and A) = 0.37

Now,

P(M or A) = P(M) + P(A) - P(M and A)

                = 0.62 + 0.51 - 0.37

                = 0.76

Hence, Option last 0.76 is the correct choice.

To learn more about the probability click here:

brainly.com/question/30034780

#SPJ4

Answer: The choice that best introduces the passage is B) In the middle of the San Francisco Bay sits a 400-acre island that, 80 years ago, did not exist.

Step-by-step explanation:

This sentence provides context for the location and history of Treasure Island and sets up the information presented in the passage.

The best introduction to the passage is option B, as it directly introduces the main subject, Treasure Island, and its historical context relating to the impact of the Great Depression and the World's Fair.

The introduction that best suits the passage given is option B) 'In the middle of the San Francisco Bay sits a 400-acre island that, 80 years ago, did not exist.' This option provides a tangible connection to the main subject of the passage, which is Treasure Island and its historical context. Notably, it introduces Treasure Island and its timeline, which directly ties into the World's Fair and the impact of the Great Depression as discussed in the passage. Options A, C, and D do not sufficiently provide a specific introduction to the unique context of Treasure Island.

https://brainly.com/question/36628253

#SPJ2

The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

For more such questions on solution

https://brainly.com/question/24644930

#SPJ8

Answer:

a) (2,9); b) no points of intersection

Step-by-step explanation:

a)

Set the two equations equal to each other

7x - 5 = -2x + 13

Rearrange collecting like terms and solve

9x = 18

x = 2

Sub in x = 2 into either of the equations and it should yield the same result

Eq.1 y = 7(2) - 5 = 9

Eq.2 y = -2(2) + 13 = 9

Therefore the point of intersection is (2,9)

The graph confirms this result (see graph 1 with red and blue lines)

b)

As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.

3x - 1 = 3x + 2

When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides

-1 = 2

This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)

True. The statement "if the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25" is true.

When a range of feasibility is given, the lower and upper bounds of the values that can be chosen for the variables in a linear programming problem are given. The range of feasibility reflects the range within which the optimum answer can be found. It is a parameter that measures the extent to which the variables can change and still allow the same optimal answer to be obtained. In this case, the range of feasibility suggests that the initial amount of a resource was 20 and could be increased by 5, implying that the total amount of the resource can be 25. Therefore, statement is true.

To know more about range: https://brainly.com/question/24326172

#SPJ11

Answer:

constant of proportionality is 45 packages an hour.

Step-by-step explanation:

you do 315 divided by 7. the x is hours and the y is packages.

both containers have the same surface area and neither has a smaller surface area than the other.

Container 1:

Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2

Total surface area of 4 balls = 12,370.48 mm^2

Container 2:

Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2

Total surface area of 4 balls = 12,370.48 mm^2

Both containers have the same surface area.

To calculate the surface area of the two containers, I first calculated the surface area of one ball by using the formula π x (diameter/2)^2. I then multiplied this by 4 to get the total surface area of 4 balls. I repeated this process for both containers and found that both containers had the same surface area of 12,370.48 mm^2. both containers have the same surface area and neither has a smaller surface area than the other.

learn more about area here

https://brainly.com/question/27683633

#SPJ1

1st quartile: 11

median: 38.50000

3rd quartile: 45

Measure descriptive statistics

1st quartile: 11

median: 38.50000

3rd quartile: 45

To know more about quartile visit:

https://brainly.com/question/8737601

#SPJ4

I understand that the question you are looking for is :

2 Drag the tiles to the boxes to form correct pairs. Match the values associated with this data set to their correct descriptions.  {6, 47, 49, 15, 43, 41, 7, 36} first quartile 38.5  median 11  third quartile 10.5 the difference of the largest value and the median 45

Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

<95141404393>

Answer: Y = 2/3x - 14/3

Answer:

2/3

Step-by-step explanation:

y+2=2/3 (x-4)

1. multiply parentheses (y+2=2/3x-8/3

2. subtract 2 from both sides (y=2/3x-2/3

3. 2/3x is the slope

The system that is represented by the graph is inequality 3

What is system of inequalities?

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.

We are given the graph of inequalities and given 4 choices out which 1 is the correction representation of the inequalities given in the graph

Now As you  can see one the parabolas open downwards that means the term x^2 is negative in that case where as the other parabola opens upwards hence the term x^2 is positive.

So second and third options are the options which satisfies this criteria

if we put x = 0 in the second equation of both the inequalities we get y= 4

This criteria is satisfied by only inequality 3 hence the correct system of inequality is inequality 3

To learn more about system of inequality please refer the following link

https://brainly.com/question/28230245

#SPJ1

Answer:y ≥ x2 – 2x + 4

y < –x2 + 4

Step-by-step explanation:

Answer:

Cuz the number after the decimal repeats

Step-by-step explanation:

Answer:

want points

Step-by-step explanation:

sorry

The approximate probability of getting a z-score between +1 standard deviation and +2.5 standard deviations in a standard normal distribution is 0.1525.

To find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations, we can use a standard normal distribution table or calculator. Here are the steps:

Therefore, the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations is approximately 0.1525.

Learn more about standard deviations

brainly.com/question/23907081

#SPJ11

Answer:

about 45%

Step-by-step explanation:

it should be right

Answer:

a = 10

b = 6

Step-by-step explanation:

(7^2 * 7^8) / 7^4 = 7^a / 7^4

7^2 * 7^8 = 7^10

7^10 / 7^4 = 7^a / 7^4

7^10 = 7^a

a = 10

7^a / 7^4 = 7^b

7^10 / 7^4 = 7^10-4

7^6 = 7^b

b = 6

Answer:

you know how to

Step-by-step explanation:

To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.

We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.

Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).

Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.

By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.

This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.

Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.

Learn more about Trignometric Identities here: brainly.com/question/24377281

SPJ11

Answer:

x = 4

Step-by-step explanation:

    The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.

    In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

\(9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4\)

Answer:

Step-by-step explanation:

9x - 8 = 28 ( converse of isosceles triangle )

(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)

\(9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ \)

Answer:

Yes bro

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

No, there is no value of q that makes the net electrostatic force on each of the four particles zero.

This is because the electrostatic force is inversely proportional to the square of the distance between the charges. Therefore, even if the charges were equal, the force between the charges would not be zero due to the distance between them.

Additionally, the forces between the charges would not cancel out because they are acting in different directions. Therefore, there is no value of q that would make the net electrostatic force on each of the four particles zero.

To know more about electrostatic force click on below link:

https://brainly.com/question/9774180#

#SPJ11