Nora spent 3 hours calling actors, 2 hours finding props,
2 hours at rehearsal, and 4 hours in meetings.
How many hours did she work?

Answer

a15 is equal to 75

Answer: (14) x (-2)- (11) x (-21)

Step-by-step explanation: Hope I was I right!

Answer:

ms Jackson let m=the number of miles ms

The cost of each rashguard is $25, the equation is 3 (x - 5) = 60.

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

Given;

During the sale, rashguards sell for $5 less than full price

Miguel purchases 3 rashguards and pays a total of $60

Now,

Let the full price of each rashguard be x,

Rashguards sell for $5 less than full price.

x - 5

Miguel purchases 3 rashguards and pays a total of $60.

3 (x - 5) = 60

On solving;

x-5=60/3

x-5=20

x=25

Therefore, the answer of arithmetic problem will be $25.

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The ice cream costs $0.10 and the pie costs $2.10.

Let's call the cost of the ice cream "x".

According to the problem,

The pie costs $2 more than the ice cream, so the pie costs x + $2.

And, together, the pie and ice cream cost $2.20, so:

x + (x + $2) = $2.20

Expanding and solving for x:

2x + $2 = $2.20

2x = $0.20

x = $0.10

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept.

The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables.

2x+3y=5, for example, is a simple linear equation.

It is rather simple to get both intercepts when an equation is stated in this way (x and y).

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With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

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Four ways errors can occur in statistical data are:

Errors in statistical data can occur in several ways, including:

Measurement error: This happens when the data collected is not accurate, such as using an incorrect instrument or using the instrument improperly.

Sampling error: This occurs when a sample of the population is used to represent the entire population, and the sample is not representative or randomly selected.

Data entry error: This happens when data is recorded incorrectly or transcribed inaccurately, such as mistyping a number or mixing up entries.

Model error: This occurs when the model used to analyze the data is incorrect or does not fit the data well, leading to incorrect or misleading results.

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The phase change takes place when the temperature increases from -40°C to 0°C at 10 atm is solid-liquid change phase(melting).

Phase change refers to the process of a substance changing from one physical state to another, such as solid to liquid, liquid to gas, or solid to gas. These changes occur as a result of changes in temperature or pressure, and are characterized by changes in the physical properties of the substance, such as its volume, density, and viscosity.

Phase changes are classified into two types: physical and chemical. Physical phase changes involve a change in the physical state of a substance without any change in its chemical composition, such as the melting of ice to liquid water or the boiling of water to steam. Chemical phase changes, on the other hand, involve a change in the chemical composition of a substance, such as the formation of a chemical compound through a reaction.

The diagram you provided shows the phase diagram of carbon dioxide at a pressure of 10 atm. It shows that the melting point of solid carbon dioxide is -100°C and the boiling point of liquid carbon dioxide is -87°C.

When the temperature increases from -40°C to 0°C, the carbon dioxide is in the solid state at -40°C. As the temperature increases, it will reach the melting point of -100°C, causing a phase change from solid to liquid.

Therefore, the phase change that takes place when the temperature increases from -40°C to 0°C at 10 atm is a solid-liquid phase change, also known as melting.

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By multiplying the unit by 0.304, you can convert feet to meters.

In order to convert between feet and metres, basic math is needed. You can change the unit from feet to metres by multiplying by 0.304. As a result, you would need to multiply 5 by 0.304 in order to convert 5 feet to metres, for example.

Therefore, 5 feet is equal to 5 times 0.304, or 1.52 metres.

One can change measurement units from feet to metres by using the simple calculation Meter = Feet X 0.3048.

Below are some examples of feet-to-meter conversions.

Meter in feet

10 feet are equivalent to 10 * 0.305.

3.048 Meter

20 feet are equivalent to 20*0.305.

6.096 Meter

50 feet are equivalent to 50 * 0.305.

15.24 Meter

75 feet are equivalent to 75 * 0.305.

22.86 Meter

100 feet is equivalent to 100 * 0.305 30.48 meters.

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The height of the cylinder is 2 m.

The surface area of a cylinder is [tex]48 \pi m^{2}[/tex]

The distance around the base of the cylinder is 5π m and the diameter of a base of the cylinder is 8 meters.

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as

Since the diameter of the base is 8 meters, the radius is 8/2 = 4 meters.

We know the surface area of the cylinder is 48π m², so we can use this information to find h:

⇒[tex]48 \pi = 2 \pi(4)h + 2 \pi(4)^{2}[/tex]

Expanding and simplifying the equation:

⇒48π = 8πh + 32π

Subtracting 32π from both sides:

⇒16π = 8πh

Dividing both sides by 8π:

⇒h = 2

So the height of the cylinder is 2 meters, expressed as a simplified fraction, h = 2 m

Therefore, the height of the cylinder is 2 m.

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Mary need $2.5 more money to buy her jeans.

Subtraction is simply the process of taking one quantity and removing part of it to work out what is left. It is the opposite of addition, because we are reducing the value of the number rather than increasing it by adding more numbers.

Given that, Mary is to buy a new pair of jeans, whose price including tax is $17.00, her mother gave her $14.50,

We need to find how much more money do Mary need,

Here, we will use a simple rule of subtraction, since, total price is $17, and she has $14.50,

Therefore, extra money she need = $17 - $14.50

= $2.5

Hence, Mary need $2.5 more money to buy her jeans.

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The expression evaluates to 3x⁹y⁻¹⁸.

Given is the expression as -

{(3x³ y⁰)/(x⁻²)}⁴ × (y² x⁻⁴ 5xy⁻⁸)³

The given expression is -

{(3x³ y⁰)/(x⁻²)}⁴ × (y² x⁻⁴ 5xy⁻⁸)³

{3x³/x⁻²}⁴ × (y⁶x⁻¹²5xy⁻²⁴)

(3x¹²/x⁻⁸) × (y⁶x⁻¹²5xy⁻²⁴)

3x²⁰ × (y⁶x⁻¹²5xy⁻²⁴)

3x²⁰y⁶x⁻¹²5xy⁻²⁴

3x²⁰ ⁻¹² ⁺¹y⁶ ⁻ ²⁴

3x⁹y⁻¹⁸

Therefore, the expression evaluates to 3x⁹y⁻¹⁸.

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Answer:

52 girls

Step-by-step explanation:

You have to find the total number of students first which is 80. Then you figure out 65% of 80. You can write a proportion which is 65/100 = x/80, you then solve for x by using the butterfly method.

So,

65/100 = x/80

5200 = 100x

divide by 100 to isolate x

52 out of the 80 students are girls

Answer: x = 15 or x = -7

Step-by-step explanation:

Step 1: Divide both sides by 3.

Step 2: Solve Absolute Value.

|x−4|=11 We know either x − 4 = 11 or x − 4 = −11

x−4=11(Possibility 1)

x−4+4=11+4(Add 4 to both sides)

x=15

x−4=−11(Possibility 2)

x−4+4=−11+4(Add 4 to both sides)

x=−7

Answer:

Step-by-step explanation:

If a line is parallel to a side of a triangle, then the intersected sides are divided proportionally

4/2=y/3

2=y/3

y=2*3 = 6

next,

If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be equiangular.

(4+2)/4=6/x

6/4=6/x

x=4

The value of give operation is =[[0,-4,-28][20.4.-32]]

A rectangular or square array of numbers or variables that are arranged in rows and columns is known as a matrix in mathematics. Elements or entries are the names for individual things in a matrix.

The application of matrix plays a major role in Mathematics, as well as in other fields. It helps in solving linear equations. Matrices are extremely valuable objects that can be found in a wide range of applications. The application of matrices in mathematics is used in a wide range of scientific fields as well as mathematical areas. Engineering mathematics is used in almost every aspect of our lives. In this article, we are going to learn what is a matrix, different matrix operations and the application of matrices in detail.

Some of the matrix's rows and columns define how big it is. A matrix of "m" rows and "n" columns is written as "m*n," where "m" and "n" are the dimensions of the matrix.

We have, c=-4

[tex]A=\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\and , B=\left[\begin{array}{ccc}-1&0\\3&1\\\end{array}\right][/tex]

first, compute the cA.

[tex]=(-4)\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\cA=\left[\begin{array}{ccc}-8&-4&-4\\4&0&-12\\\end{array}\right] \\\\Now, BcA=\left[\begin{array}{ccc}1&2\\-1&3\\\end{array}\right] \left[\begin{array}{ccc}-8&-4&-4\\4&0&-12\\\end{array}\right] \\\\\\=\left[\begin{array}{ccc}0&-4&-28\\20&4&-32\\\end{array}\right][/tex]

The complete question is-

Perform the indicated operation,c=-4,

[tex]A=\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\and , B=\left[\begin{array}{ccc}-1&0\\3&1\\\end{array}\right][/tex]

B(cA)=?

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Answer: the answer is

53.1

Answer:

Score in 4th game = 94

Step-by-step explanation:

The mean is the average of all the data points, which means we divide the sum of all the points by the total number of points.

Letting s represent the score in the 4th game, we can use the following equation to find the score needed to end up with a mean score of 100:

[tex]\frac{99+92+115+s}{4}=100\\ \frac{306+s}{4}=100\\ 306+s=400\\s=94[/tex]

Vertical angles are opposite angles formed by intersecting lines.

Alternate exterior angles are angles on the same side of the transversal and outside of the two lines being intersected.

Same side interior angles are angles on the same side of the transversal and inside of the two lines being intersected.

A linear pair is two angles that add up to 180 degrees and are adjacent to each other.

Alternate interior angles are angles on opposite sides of the transversal and inside of the two lines being intersected.

Same side exterior angles are angles on the same side of the transversal and outside of the two lines being intersected.

Corresponding angles are angles that have the same relative position and orientation in two similar figures.

An overview was given as your information is incomplete.

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This set contains all positive integer multiples of 5, but does not include 0 or negative integers.

The set ⋂i=15Ai is the set of all positive integer multiples of the least common multiple (LCM) of 1, 5.

To find the LCM of 1 and 5, we multiply them together: LCM(1,5) = 1 * 5 = 5.

Therefore, the set ⋂i=15Ai is the set of all positive integer multiples of 5: {5, 10, 15, 20, ...}.

Using set builder notation, this set can be written as:

⋂i=15Ai = {x ∈ Z | x is a multiple of 5} = {5x | x ∈ Z and x > 0}.

Therefore, This set contains all positive integer multiples of 5, but does not include 0 or negative integers.

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The term "directrix" refers to the circumference of a cone's base, and "generatrix" or "generating line" refers to each line segment between the directrix and apex.

(For a relationship between the directrix of a conic section and the name "directrix" in this sense, see Dandelin spheres.

A cone's volume is equal to one-third of the sum of the base's area and the cone's height. Cubic units are used to measure volume.

A cone's radius affects how tall it is. A cone with a radius of 1 /2 has a height of 0.26. Volume is the amount of space that is occupied by a three-dimensional object.

A cone's volume (V) is determined by:

V = (1/3)πr²h

Where r is the radius and h is the height.

For a radius of 1/2:

=(1/3)π*(1/2)²*h

=(1/3)(22/77)(1/4)h

=0.26

Therefore, its height is 0.26.

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Answer:

te56

Step-by-step explanation:

y8888888755555555555555578

Each friend will receive 25 sticker from Mary's collection

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of sticker per friend:

Sticker per friend = (Number of stickers per pack * Number of pack) / Number of friends

Sticker per friend = (20*5)/4

Sticker per friend = 100/4

Sticker per friend = 25

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Correctly written question:

Mary is going to divide her sticker collection among four friends she has five packs of 20 sticker how many stickers will each friend receive?

sin X = 0.72, cos X = 0.69, tan X = 1.05

The Pythagorean Theorem is a fundamental mathematical principle named after the ancient Greek mathematician Pythagoras. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The theorem can be expressed mathematically as c² = a² + b², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse. The theorem can be used to find the length of a missing side of a right triangle if the lengths of the other two sides are known.

To find sin X, cos X, and tan X in triangle ABC, we need to first find the measures of the other angles in the triangle. Since angle C is a right angle, we can use the Pythagorean theorem to find the lengths of the sides adjacent to angle X (i.e., sides AC and BC).

AC² + BC² = AB²

(12.6)² + (12)² = (17.4)²

159.36 + 144 = 304.76

303.36 = 304.76

Since AC² + BC² = AB², we can conclude that triangle ABC is a right triangle, with angle X as the acute angle opposite side AC.

Using the definitions of sine, cosine, and tangent, we can find the values of sin X, cos X, and tan X:

sin X = [tex]\frac{AC}{AB}[/tex] = 12.6 / 17.4 = 0.72

cos X = [tex]\frac{BC}{AB}[/tex] = 12 / 17.4 = 0.69

tan X = [tex]\frac{AC}{BC}[/tex]= 12.6 / 12 = 1.05

Rounding to the nearest hundredth, the values are:

sin X = 0.72

cos X = 0.69

tan X = 1.05

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The probability none choose option is [tex]\frac{243}{1024}[/tex]  , the probability all choose option A is [tex]\frac{1}{1024}[/tex] , the probability 3 students choose option C is [tex]\frac{15}{256}[/tex]  

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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Answer:

3 x g = 36

Step-by-step explanation:

3 multiplied by Gordon's age equals 36.

Answer:

73.5

Step-by-step explanation:

This is a percentage question.

To solve it we need to first divide the amount by 100 then multiply it with 42:

175 ÷ 100 × 42 = 73.5

Answer: 9/51 simplified would be 3/17

Answer:

48

Step-by-step explanation:

definition of very similar triangles hope the answer is correct