What expression is equivalent to 2(m-5)+6?2m-12m+222m-42m+16

Answer:

ticket for movie A = 35
ticket for movie B = 12

Step-by-step explanation:

Let A= is ticket  for movie A
Let A= is ticket  for movie B

We have A + B  = 47 (1)
4A + 5B = 200  (2)

From (1) multiply 5 in both side 5A + 5B = 47(5)= 235
                                                     4A + 5B =           200

So A = 35
   B= 47-35 = 12

I hope that help..

They will be when they pass each other at 44 4/9 mins.

This is a classic question on Speed, time, & distance.

1. When time traveled in each segment is constant, then average speed is simple mean of speeds.

2. When distance traveled in each segment is constant, then average speed is reciprocal of simple mean of reciprocal of speeds. It is basically called Harmonic mean.

So this question falls in the category of 2.

=> So, average speed = Reciprocal of mean of reciprocals of 40 & 50.

=> Average speed = Reciprocal of mean of 1/40 & 1/50.

=> Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of (5+4)/400

= 44 4/9 mins

Hence, they will be when they pass each other at 44 4/9 mins.

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Kareem thus garnered 80% of the vote as the number of votes Kareem received by the total number of club members.

A number can be expressed as a fraction of 100 using a percentage. "%" is used to represent it. 50%, for instance, is 50 out of 100, or 0.5 in decimal form. A typical way to describe relative frequency, probability, or amount is by percentages. Also, they are employed in computations concerning taxation, interest rates, discounts, and other statistical and financial considerations.

given

We must divide the number of votes Kareem received by the total number of club members, multiply by 100, and then get the proportion of club members that voted for Kareem:

(Kareem votes / total members) x 100 = %

% equals (48/60) times 100.

% Equals 0.8 times 100

% equals 80

Kareem thus garnered 80% of the vote as the number of votes Kareem received by the total number of club members.

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The complete question is:- Kareem ran for chess club president and received 48 votes. There are a total of 60 members in the club. What percentage of the club members voted for Kareem?

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Step-by-step explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

\(96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}\)

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

\(\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}\)

Then, we can convert our fraction to a decimal.

\(\displaystyle \frac{1}{4} = 0.25\)

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

\(0.25\times100 = 25\%\)

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

Jadi, lebar jalan adalah 14 meter.

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Answer:

A. Use mutually exclusive classes.

Step-by-step explanation:

From the given frequency distribution:

\(\left|\begin{array}{c|c}$Number of Minutes &$Frequency\\-------&------\\$0 to less than 5 &6\\$5 to less than 10& 9\\$8 to less than 13 &14\\$13 to less than 18 &2\end{array}\right|\)

We can see that we have these class interval

The data in these two ranges will overlap and therefore violates the rule of mutual exclusivity.

The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,

A=πr [r+√(h²+r²)]

A = 108.79967 units²

Hence, the surface area of the cone is 108.79967 units².

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Answer:

114°

Step-by-step explanation:

First we have to calculate the value of c Then

3c - 84° + c = 180° <being co-interior angles >

4c - 84° = 180°

4c = 180° + 84

4c = 264°

c = 264° / 4

c = 66°

Now

<R = 3 * 66° - 84°

= 114°

<P = <R ( being opposite angles of rhombus )

<P = 114°

Hope it will help :)

Answer:

\(P (1.41 < z < 2.85) = 0.0771\)

Step-by-step explanation:

Required

\(P (1.41 < z < 2.85)\)

This is calculated as:

\(P (1.41 < z < 2.85) = P(z < 2.85) - P(z < 1.41)\)

From z probabilities:

\(P(z < 2.85) = 0.99781\)

\(P(z < 1.41) = 0.92073\)

So, we have:

\(P (1.41 < z < 2.85) = 0.99781 - 0.92073\)

\(P (1.41 < z < 2.85) = 0.07708\)

Approximate

\(P (1.41 < z < 2.85) = 0.0771\)

Answer:

reference attached

Step-by-step explanation:

Answer:

It's ok. Math can be really difficult, but don't give up and you'll understand.

To begin, this is a transversal. A transversal is a set of parallel lines that have a third line intersecting them.

In the photo below, you can see the original angle given and it is 35°. On the same line directly across from it is an angle that is also 35°. This follows the rule of vertical angles, which are angles produced by the same two lines. It also states that they are congruent.

You'll also see that the angle next to the original angle is 145°. This follows the rule of supplementary angles, which states that two angles that are on the same straight line will equal 180° when added together.

The angle opposite to that is 145°, which can be proven by vertical angles.

Through a method called corresponding angles, we can see that the original angle is corresponding with the angle below it.

Then you would repeat the process for the top.

Hope this helps!

Answer:the mean would now be 2.875

Step-by-step explanation:

Answer:

r=13

Step-by-step explanation:

81.64/3.14=26(diameter)

26/2=13(radius)

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

If the random number is less than the winning probability of 0.0028, the player wins $20 and we add that to the amount variable.

Otherwise, the player loses $1 and we subtract that from the amount variable.

To simulate this scenario in Python.

Here's a possible implementation:

import random

# Set the seed number

random.seed(77)

# Initialize the starting amount and the number of bets

amount = 18

num_bets = 0

# Loop until the player runs out of money

while amount >= 1:

   # Increment the number of bets

   num_bets += 1

   # Check if the player wins

   if random.random() < 0.0028:

       amount += 20 - 1  # The net earnings are $10

          # Otherwise, the player loses $1

   else:

       amount -= 1

# Report the total number of bets

print(f"Total number of bets: {num_bets}")

In this implementation, we use the random module in Python to simulate the outcome of each bet.

We set the seed number to 77 to ensure that the results are reproducible.

We initialize the starting amount to $18 and the number of bets to 0. We then loop until the player runs out of money (i.e., the amount variable is less than $1).

Inside the loop, we increment the number of bets by 1 and simulate the outcome of the bet using random.

random() which returns a random float between 0 and 1.

If the random number is less than the winning probability of 0.0028, the player wins $20 and we add that to the amount variable.

Otherwise, the player loses $1 and we subtract that from the amount variable.

After the loop ends, we print the total number of bets.

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Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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The value of vertical asymptotes is, x = 9

And, The value of Horizontal asymptotes is,

y = - 4

We have to given that;

Expression is,

⇒ j (x) = 1/(x - 9) - 4

Now, We can simplify as,

⇒ j (x) = 1/(x - 9) - 4

⇒ j (x) = (1 - 4(x - 9)] / (x - 9)

⇒ j (x) = [1 - 4x + 36] / (x - 9)

⇒ j (x) = (- 4x + 37) / (x - 9)

Hence, For vertical asymptotes make denominator zero.

As, x - 9 = 0

x = 9

And, Here degree of numerator and denominator both are one.

Hence, Horizontal asymptotes is,

y = - 4 / 1

y = - 4

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True. To find the element-wise product (multiplication) of a three-by-one matrix A and a scalar b, the command c=A*b should be used.

This will result in a new matrix c, whose elements are the product of the corresponding elements of A and b. Mathematically, this can be expressed as c{i,j} = A{i,j}b, where c{i,j} is the element in the ith row and jth column of c, A{i,j} is the element in the ith row and jth column of A, and b is scalar. Thus, for a three-by-one matrix, the element-wise product of A and b is a three-by-one matrix containing the products of each element of A and b.

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Complete Question:

T/F: Suppose you have a three-by-one matrix A, and a scalar b. To find the element-wise product (multiplication) of these two, one would use the following command:

c=A*b

Answer:

im not very good at math but if i was you i uld multiply 910 by 64 and then subtracy by 31

wo

Step-by-step explanation:

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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Answer:

Explanation:

Jaime made $24,872 for herself in 8 months.

To determine the amount she made per month, we divide the total amount by the number of months.

The number of blue marbles in the representative sample which contains 2 green marbles is 8.

What is meant by a representative sample?

A subset of a population that aims to correctly reflect the traits of the larger group is called a representative sample. Because the results accurately mirror those you would get from interviewing the full population, it is known as a representative sample.

Because samples comprise more manageable, smaller representations of the broader group, they are helpful in statistical analysis when population numbers are huge.

Given the total number of green and blue marbles is 8 and 32 respectively.

So the ratio of green marbles to blue marbles = 8:32 = 1:4

Now, this ratio is maintained when we form a representative sample.

Given there are 2 green marbles in a representative sample.

Then the number of blue marbles x is:

2 : x = 1 : 4

2 : x = 2 : 8

x = 8

Therefore the number of blue marbles in the representative sample is 8.

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