Lisa can run 4 more miles than Marlie. Marlie can run twice as many miles as Amy. Amy can run 3 miles. How many miles can Lisa run?

Answer:

3% = 0.03

Commision = 3% x $4950.00

                  = 0.03 x 4950.00

                  = $148.50

Answer:

$148.50

Step-by-step explanation:

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Brainliest pls?

Answer:

\(\frac{1}{2}(4x+6)+3x=7x+9\)

\(\frac{1}{2}(4x+8)+3x=7x+9\)

Step-by-step explanation:

By putting the numbers in the given equation,

\(\frac{1}{2}(4x+6)+3x=7x+9\)

2x + 3 + 3x = 7x + 9

5x + 3 = 7x + 9

(5x + 3) - 7x = (7x + 9) - 7x

(5x - 7x) + 3 = 9

-2x + 3 = 9

(-2x + 3) - 3 = 9 - 3

-2x = 6

\(-\frac{2x}{2}=\frac{6}{2}\)

-x = 3

x = -3

Therefore, our equation is correct which has a negative result.

In place of 6 if we use 8, value of x will be negative again.

The probability that the random variable will assume a value between 45 and 55 is given by: 0.6827

A random variable is normally distributed.

Mean μ = 50

Standard deviation σ = 5

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

The more precise statement for 68 percent is:

\(P(\mu-\sigma < X < \mu+\sigma) = 68.27%\)

Since the interval of interest given in question is (45,55), it can be rewritten as  (50-5, 50 + 5)

Thus we have:

P(50 - 5 < X < 50+5) = 68.27%

P(45 < X < 55) = 0.6827.

Thus, 0.6827 is the probability that the random variable will assume a value between 45 and 55.

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This question is incomplete

Complete questions

Total number of students is 126

Part A: About ⅔ of the students chose to go to the arcade. Calculate the number of buses needed for the arcade trip if each bus can transport 42 students. Explain your step

Answer:

2 buses would be needed for the Arcade trip

Step-by-step explanation:

Step 1

Total number of students = 126

We find 2/3 of the total number of students

2/3 want to go to the Arcade.

Hence,

2/3 × 126 = 252/3

= 84 students.

84 students want to go to the Arcade

Step 2

We are told in the question that

1 bus can transport 42 students

Hence,

42 students = 1 bus

84 students = x bus

Cross Multiply

42 × x = 84 × 1

x = 84 /42

x = 2 buses.

Hence, 2 buses would be needed for the Arcade trip

The geometric mean is 6833.049

The value of fund in 1999 is 5,700

value of fund in 2009 is 8,064

We need to find the geometric mean annual percent increase in the number of funds.

The geometric mean is the average of a set of products,  it is defined as the compounding effect of the numbers in the series in which the numbers are multiplied by taking nth root of the multiplication.

The calculation of which is commonly used to determine the performance results of an investment or portfolio.

We know, The Geometric mean is = \(\sqrt[n]{x_1*x_2*...*x_n}\)

substituting values:

\(\\ GM = (5790*8064)^{0.5} = 6833.049\)

Geometric mean is = \(\sqrt[n]{x_1*x_2*...*x_n}\)

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Answer: Volume of prism is LxWxH which is 360

Step-by-step explanation:

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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Answer:

<2 =67

Step-by-step explanation:

A linear pair adds to 180 degrees

<1 + <2 =180

113+ <2 = 180

<2 = 180-113

<2 =67

Answer:

47

Step-by-step explanation:

They are dumpy because they can’t try

Answer:

n=10

Step-by-step explanation:

first distribute

-3 + 1/2 n = -1/2n + 7

next multiply both sides of the quation by 2

-6+n=-n+14

add n to both sides

-6+n+n=14

add 6 to both sides

n+n=14+6

combine like terms

2n=20

divide both sides by 2

n=10

Answer:

f(x) = 3(x+1)^2 +3

The number of tornadoes that occur in the United States each year is 1158

Let's call the number of tornadoes in the United States each year "x".

The number of tornadoes in Florida each year is 5.7% of this total

So we can write:

66 = x * 5.7%

Divide both sides by 5.7%

x = 66/5.7%

Evaluate

x = approximately 1158

So, approximately 1162 tornadoes occur in the United States each year.

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A minutes to decimal chart is a table that shows the equivalent decimal representation of minutes. It is commonly used in various fields, such as finance and payroll, to calculate the number of hours worked or the amount of pay earned.

Here's a sample minutes to decimal chart:

Minutes   Decimal

0        0.0

15         0.25

30          0.5

45           0.75

60             1.0

To use the chart, simply find the number of minutes you want to convert, and look up its equivalent decimal representation. For example, if you have worked 30 minutes, you would look up 0.5 on the chart.

It's important to understand the concept of minutes to decimal chart and how to use it, as it is a useful tool in various industries and applications.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

Answer:

2.78

Step-by-step explanation:

you could have used a calculator

Answer:

23.2 times 0.14 is 3.248

Answer:

Step-by-step explanation:

Argument

One of the ways to recognize the domain is that it should be on the x axis of a graph. That lets out A and D. They are both describing the y axis. t = 0 has no meaning with this question.

Answer B

Answer:

its 3.05

Step-by-step explanation:

The coordinates of A will be at (-10, -5) when the transformation (x,y) → (x + 10, y + 5) is  performed on point A.

Given the coordinate of the resulting image after the transformation is A'(0, 0). We need to get the coordinate of the original image A.

Since the transformation (x,y) → (x + 10, y + 5) is performed on A.

A = (0 - 10, 0 - 5)

If we are going from the pre-image to the image, we will translate to the left and downwards

A = (-10, -5)

Hence the coordinates of A will be at (-10, -5)

Learn more here:

Answer:

Step-by-step explanation:

The variable that can be used for the number of brownies sold is x

The variable that can be used for Kate's profit is y

The equation that can be used to describe the pattern is y = 2x

A variable is quantity or symbol that may assume any one of a set of values.

Let

Kate's profit = Number of brownies sold × profit earned per brownies sold

If kate earned $8 as profit and sold 4 brownies

Kate's profit = Number of brownies sold × profit earned per brownies sold

8 = 4 × z

8 = 4z

divide both sides by 4

z = 8/4

z = 2

The equation:

Kate's profit = Number of brownies sold × profit earned per brownies sold

y = x × 2

y = 2x

Therefore, the equation that can be used to represent the situation is y = 2x

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Answer:

x = -2

Step-by-step explanation:

g(x) = 5

-2x + 1 = 5

-2x  = 5 - 1

-2x = 4

x = 4/-2

x = -2

_________

\(\:\)

g(x) = 5

5 = -2x + 1

5 - 1 = -2x

4 = -2x

x = -2

Given:

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

One pound of oranges cost $0.75 more than one pound of bananas.

To find:

The equation which represents the situation, and what is the price per pound of each fruit.

Solution:

Let b represent the price per pound of bananas.

Cost of 3 pound of banana = $3b

One pound of oranges cost $0.75 more than one pound of bananas.

So, cost of one pound of oranges = $(b+0.75)

Cost of 2 pound of oranges = $2(b+0.75)

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

\(3b+2(b+0.75)=4.50\)

Therefore, the required equation is \(3b+2(b+0.75)=4.50\).

On solving the above equation, we get

\(3b+2b+1.50=4.50\)

\(5b=4.50-1.50\)

\(5b=3\)

Divide both sides by 5.

\(b=\dfrac{3}{5}\)

\(b=0.60\)

Now,

\(b+0.75=0.60+0.75=1.35\)

Therefore, the price of fruits are $0.60 per bananas, $1.35 per pound of oranges.

Hence, the correct option is C.

In this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

To find chi-square goodness-of-fit test question.

To determine the degrees of freedom in this particular chi-square goodness-of-fit test with six categories and 325 observations, you need to subtract 1 from the number of categories. So, the degrees of freedom are:

Degrees of Freedom (df) = Number of Categories - 1
Degrees of Freedom (df) = 6 - 1
Degrees of Freedom (df) = 5

Next, to find the critical value of chi-square at a 0.10 significance level and 5 degrees of freedom, you can use a chi-square distribution table or an online calculator. After consulting the table or calculator, you will find that the critical value of chi-square is:

Critical Value of Chi-Square (rounded to 3 decimal places) = 9.236

So, in this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

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To find an objective function that has a maximum or minimum value at each indicated vertex, we need to consider the properties of the vertices.

Let's assume we have a set of vertices indicated by \(\(V = \{v_1, v_2, \ldots, v_n\}\).\) To ensure that our objective function has either a maximum or minimum value at each vertex, we can construct a piecewise function that achieves this property.

First, we need to determine whether each vertex is a maximum or minimum point. Let's denote \(\(v_i\)\) as a maximum vertex if the desired extremum at that vertex is a maximum value, and \(\(v_i\)\) as a minimum vertex if the desired extremum is a minimum value.

For each vertex \(\(v_i\)\), we can construct a quadratic function that achieves the desired extremum at that vertex. The general form of a quadratic function is \(\(f(x) = ax^2 + bx + c\).\)

If \(\(v_i\)\) is a maximum vertex, we choose a negative coefficient for the quadratic term \((\(a < 0\))\) to ensure the function opens downwards and has a maximum value at that vertex. Conversely, if \(\(v_i\)\) is a minimum vertex, we choose a positive coefficient for the quadratic term \((\(a > 0\))\) to ensure the function opens upwards and has a minimum value at that vertex.

By assigning appropriate coefficients for each vertex, we can construct a piecewise function that satisfies the given conditions. The objective function can be defined as follows:

\(\[f(x) = \begin{cases} a_1 x^2 + b_1 x + c_1 & \text{if } x \in \text{Region 1} \\ a_2 x^2 + b_2 x + c_2 & \text{if } x \in \text{Region 2} \\ \ldots & \\ a_n x^2 + b_n x + c_n & \text{if } x \in \text{Region n} \end{cases}\]\)

Here, each region corresponds to a specific vertex \(\(v_i\)\) and has its own set of coefficients (\(\(a_i, b_i, c_i\)\)) chosen to achieve the desired maximum or minimum value at that vertex.

It's important to note that the specific regions and coefficients depend on the given vertices and their corresponding desired extremum values.

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Answer:

scale factor 3 is the answer.

Step-by-step explanation:

Length = 18 in

Breadth = 3 in

height = 10 in

Volume of cuboid = l × b × h

V = 18 × 3 × 10

V = 540 in³

540 in³ is the original volume. The volume needs to be tripled, so multiply the original volume with 3

V = 540 × 3 = 1620 in³

∴ 1620 in³ will be the new volume if it's tripled and the scale factor is 3.

Answer:

x = - 24 or 10

Step-by-step explanation:

|x+7| = 12+5

|x+7| = 17

x+7 = 17. or x+7 = -17

x =17-7 or x = -17-7

x = 10. or x = -24

According to "SEC-rules", fingerprinting is required for all of "broker-dealer" employees EXCEPT (d) A receptionist at "broker-dealer" which regularly answers calls from customers.

The Fingerprinting is a regulatory requirement imposed by the Securities and Exchange Commission (SEC) for certain broker-dealer employees to undergo background checks. It helps ensure the integrity and security of the financial industry.

The fingerprinting is not required for a receptionist at a broker-dealer who primarily handles customer calls. Receptionists do not have access to sensitive customer funds or engage in activities that would warrant fingerprinting under SEC rules.

The correct option is (d).

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The given question is incomplete, the complete question is

According to SEC rules, fingerprinting is required for all of the following broker-dealer employees EXCEPT

(a) A sales representative that sells only government bonds,

(b) An officer of a national securities exchange,

(c) A manager of a transfer agent that oversees custody of customer funds,

(d) A receptionist at a broker-dealer that regularly answers calls from customers.

By using the concept of direct proportion, it can be calculated that

The equation which represents the given relationship is

\(p = \frac{2}{3}m\)

What is direct proportion?

Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio

Direct proportion

Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.

For example cost of a commodity and quantity of a commodity are in direct proportion

The number of pages read, p, varies directly as the number of minutes spent reading, m.

So the equation is

p = km, where k is the constant of proportionality

After 15 minutes, Zoe had read 10 pages.

Putting m = 15 and p = 10

10 = k \(\times\) 15

k = \(\frac{10}{15}\)

k = \(\frac{2}{3}\)

So the equation which represents the given relationship is

\(p = \frac{2}{3}m\)

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