A City Council consists of nine men and six women. Three representatives are chosen at random to form a sub-committee. What is the probability one man and two women are chosen?

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

1 nickel = $0.05

1 quarter = $0.25

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

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Answer:

Diameter is equal to twice the radius. Given, radius is 4 cm. Diameter = 2(4) = 8 cm. Hence, diameter of the circle with radius as 4 cm is 8 cm.

Step-by-step explanation:

please

give brianliest

Answer: Area = 0

Step-by-step explanation:

((2*2)*3.14)-(4*3.14) = 0

Hey there!

Let's solve this equation.

\(-6x-10=-40\)

Add 10 to both sides.

\(-6x-10+10=-40+10=-6x=-30\\-6x=-30\)

Divide both sides by by -6.

\(\frac{-6x}{-6} =\frac{-30}{-6}\)

Simplify the fraction by dividing -30 by -6.

\(-30/-6=5\\ x=5\)

x=5 is your answer.

Hope this helps!

\(\text{-TestedHyperr}\)

Step-by-step explanation:

REO=RBO=67

BOR=ERO=91

REB=REO-BE0=67-32=35

RYE=180-ERO-REB=180-91-35=54

Number of cards made from the sheet of paper is 243.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

On the entire sheet of paper, 243 cards were created.

The sheet is described as being 324 cm 144 cm in size.

Measures 324 centimeters in length.

The sheet has a 144-cm width.

We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.

The paper's size is 324 144.

46656 sq. cm is the size of the paper's surface.

Now, one card is equal to 16 divided by 12.

Currently, the area of a single card is 192 square centimetres.

Hence, Number of cards made from the sheet of paper is 243.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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To solve the problem, we need to find all the classes of the relation Ron the set A in roster notation. And also, we need to pick one element of A to represent each distinct equivalence class. The relation Ron A is defined as:

aRb ⇔ a+b=3k, k ∈ ZLet A = {2, 3, 5, 11, 12, 13} be a set.

The distinct equivalence classes of A in roster notation are distinct equivalence[2] = {2, 5, 11},[3] = {3, 12},[13] = {13},[a], [5] = {5, 2, 11}Each equivalence class consists of elements in A that are related to each other by the given relation, i.e., by R. Therefore, aRb means that a and b are related in some way, and the equivalence class [a] is the set of all elements in A that are related to a by R.

Therefore, the distinct equivalence classes in roster notation are given as above, and we can pick any one element of A to represent each class. Thus, we have the following:A = {2, 3, 5, 11, 12, 13}[2] = {2, 5, 11} and can be represented by 2.[3] = {3, 12} and can be represented by 3.[13] = {13} and can be represented by 13.[5] = {5, 2, 11} and can be represented by 5.

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Human Development Index (HDI), Gross National Happiness (GNH), Happy Planet Index (HPI), Better Life Index (BLI), and Genuine Progress Indicator (GPI) are statistical measures that we could use to measure our "well-being" other than GDP.

These measures are important because GDP alone does not provide a complete picture of a country's well-being. GDP measures the market value of goods and services produced within a country, but it does not take into account factors such as income distribution, environmental quality, and social well-being.

By using these additional measures, we can gain a more comprehensive understanding of a country's progress and its impact on people and the planet.

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Answer:

Step-by-step explanation:

2A:3B

= 5:6

3B:2C

= 36:15

A:C

= ?:?

2A/3B x 3B/2C

=5/6 x 36/15

=1/1 x 6/3

=1/1 x 2/1

=2

3B and 3B got canceled

For 2A and 2C, the 2 in front of A and C, got canceled as we are cross multiplying.

So I think the answer is

A:C

=1:1     ??

My answer could be wrong.

Answer: angle 2 is 38

Angle 3 is 79

Step-by-step explanation:

The total distance traveled by the dust in 2.70 minutes is 345.96 m.

Given that the spin rate of the CD is 410 rpm and the piece of dust is 4.97 cm from the center. The first step in solving this problem is to determine the distance traveled by the dust in one revolution. It is known that the circumference of a circle is equal to 2πr, where r is the radius of the circle.

The circumference of the CD is given by: C = 2πr= 2π(4.97)= 31.27 cm The distance traveled by the dust in one revolution is equal to the circumference of the CD. It is, therefore, 31.27 cm. Next, we need to determine the total number of revolutions made by the dust in 2.70 minutes.

The number of revolutions per minute is given by the spin rate of the CD, which is 410 rpm. We can, therefore, calculate the total number of revolutions made by the dust in 2.70 minutes as follows: Number of revolutions in 2.70 minutes = 410 rpm × 2.70 min= 1107 revolutions Finally, we can calculate the total distance traveled by the dust in 2.70 minutes as follows: Total distance = Distance per revolution × Total number of revolutions= 31.27 cm/revolution × 1107 revolutions= 34595.89 cm= 345.96 m

Therefore, the total distance traveled by the dust in 2.70 minutes is 345.96 m.

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Answer:√29.5= 5.43139

Step-by-step explanation:

The property of the triangle congruence state that a ≅ B then B ≅ A are:

The triangle is a polygon that has 3 edge and vertices. Triangle is one of the basic shape in the geometric. The area of the triangle is formulated as base of the triangle * height of triangle x 0,5. The value of three triangle edge degree is 180°.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

400000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

\(a_n\) is the n-th term in some sequence following the given rule.

Then \(a_{27}\) is the 27th term in the sequence, and

\(a_{27} = -23 + 20\times27 = \boxed{517}\)

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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we have the numbers

1/2 and 2/5

the given fractions don't have the same denominator

so

Find out an equivalent fraction

1/2 -----> multiply by 5/5

(1/2)*(5/5)=5/10

2/5 ----> multiply by 2/2

(2/5)*(2/2)=4/10

Now compare the fractions

5/10 is greater than 4/10

so

The domain restriction in the left side of the equation is x = 12.

Here we have the equation:

8/(x - 12) = -8/x

The domain restrictions are the values of x such that we will have a zero in one of the denominators (this is because we can't divide by zero)

Then we need to remove these values.

We can see that in the left side of the equation, when x = 12 the denominator becomes zero, so that is the domain restriction.

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The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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Answer:

\(9^{2x-1} = 2\\\)

Step-by-step explanation:

According to the law of logarithm;

\(If \ log_ab = x\\a^x = b\)

Given

\(\log_9\left(2\right)=2x-1\)

Comparing with the original expression;

a = 9, b = 2 and c = 2x - 1

Substitute into the result indicinal expression;

\(9^{2x-1} = 2\\\)

This gives the required exponential equation

Answer:

$2.40

Step-by-step explanation:

There is a 50% discount, so you do 50% of 4.80 which is 2.40

Then subtract 2.40 from 4.80

and you get 2.40

\(.50*4.80=2.40\)

\(4.80-2.40=2.40\)

I hope that wasn't confusing.

Hope this helps! (✿◠‿◠)

The required price of a plastic watch in the sale is $2.40.

Given that,
to determine the sale price of a plastic watch originally priced at $4.80 if the sale is 50%.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A plastic watch was originally priced at $4.80.
After 50% the price is = 50% * 4.80
                                     = 4.80 * 50 / 100
                                     = 4.80 * 1/2
                                     = $ 2.40

Thus, the required price of a plastic watch in the sale is $2.40.

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a prism

Step-by-step explanation:

it has two parallel, congruent bases that are connected by a lateral face

Answer:

The first plan is better

Step-by-step explanation:

The first plan is better because after you do a yearly subscription you only have to pay 335 dollars. The second plan has to make you pay 420 dollars for a yearly subscription. Choose the 1st plan for a cheaper cost.

Answer:

Option c is correct that is Home health aides.

Step-by-step explanation:

The statement that is correct about the two angles that are said to be linear pair would be = <ABC and <CBD are adjacent angles. That is option A

A linear pair exists between angles that are on a straight line that are formed when two lines intersect eachother leading to the formation of the adjacent angles.

The linear angles are there said to be adjacent angles and the sum of these two angles are always = 180°.

Therefore from the given statements, the correct option about the two angles which are linear paired angles is that they are also adjacent to each other.

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Answer:

1/2

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

Slope=rise over run

First find a point

Second find another point

Then find out how many times you rise and run to get to that point

In this example we rise up 1 and run to the right 2 making it 1/2