Jim began a 255-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of
3 miles per hour and rides at 39 miles per hour, find the amount of time he spent on the bicycle.

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Therefore, Caleb paid approximately $14,067.90 for the shares.

Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.

Selling price = 130% of the amount paid

$18,189.27 = 1.3 * x

To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:

x = $18,189.27 / 1.3

Calculating this, we find:

x ≈ $14,067.90

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Answer:

obviously 8 tons bro ...

Answer:

Since 1 ton equals 2000 pounds, 8 tons would equal 16000, so 8 tons is more than 14000 pounds

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Split the time up into 5 minute slots. That gives us 24 slots of 5 minutes.

20/5=4 of the 5 minute slots playing outside

25/5=5 of the 5 minute slots on his phone

5+4=9 out of 24 slots spent

24-9=15 slots remaining to play his instrument

15/24x100=62.5% time playing instrument

Answer:62.5%

Step-by-step explanation:

Answer:

3.6 cm

Step-by-step explanation:

Note that:

Area = 1/2 x perimeter x apothem.

To find the Apothem, the formula =

Area ÷ (1/2 × Perimeter)

Area = 100.8cm²

Perimeter = 56 cm

Hence,

Apothem =

100.8 cm² ÷ (1/2 × 56 cm)

= 100.8cm² ÷ 28cm

= 3.6 cm

Therefore, the Length of the apothem is 3.6 cm

Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

Hello! I'm happy to help you with your question. Here's the notation for each sequence:

(a) 2 + 4 + 6 + 8 + ... + 2n can be rewritten as:
∑(2i) where i goes from 1 to n.

(b) 1 + 5 + 9 + 13 + ... + 425 can be rewritten as:
∑(4j-3) where j goes from 1 to 106. (Note: 425 is the 106th term in this sequence)

(c) 1 + 12 + 13 + 14 + ... + 150 can be rewritten as:
1 + ∑(k) ,where k goes from 12 to 150

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The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

The answer is C: 11 and 12.

Step-by-step explanation:

a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).

TC = 100Q - Q² + 0.3Q³

Marginal cost (MC) = dTC/dQ

= d/dQ(100Q - Q² + 0.3Q³)

= 100 - 2Q + 0.9Q²

To find the average cost, we need to divide the total cost by the rate of output (Q).

Average cost (AC) = TC/Q

= (100Q - Q² + 0.3Q³)/Q

= 100 - Q + 0.3Q²

b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.

AC = 100 - Q + 0.3Q²

dAC/dQ = -1 + 0.6Q

= 0-1 + 0.6Q

= 00.6Q

= 1Q

= 1/0.6Q

≈ 1.67

Therefore, the rate of output that results in minimum average cost is approximately 1.67.

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Therefore, the population mean, u, is the mean of 340 runners' times, regardless of the sample size. The correct answer is (B) 340.

In mathematics and statistics, the mean is a measure of central tendency of a set of numerical data, which represents the average value of the data. It is commonly known as the arithmetic mean and is calculated by adding up all the values in the data set and then dividing by the number of values.

Here,

The population mean, u, is the mean of the times for all 340 runners in the population. If a sample of 226 runners is taken from the population, then the mean of the sample will be an estimate of the population mean. However, the population mean itself is not affected by the size of the sample.

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Answer:

20 homes

Step-by-step explanation:

Given that :

Total number of homes = 800

Average years at which homes are listed = 8 years

To obtain the annual home listing = total number of Homes / average years

Annual home listing = 800 / 8

Annual home listing = 100 homes

If 20% of the homes are listed on the year in question :

20% of 100 homes

0.2 * 100

= 20 homes

20 homes can be listed that year

The slope of the tangent line to the curve y = 3x^2 - 7x + 1 at the point (3, 7) is given by the value of m.

To find the slope of the tangent line to the curve at a given point, we need to calculate the derivative of the function y = 3x^2 - 7x + 1 and then substitute the x-coordinate of the given point into the derivative to obtain the slope.

Taking the derivative of y with respect to x, we get:

dy/dx = 6x - 7

Now, we can substitute x = 3 into the derivative to find the slope at the point (3, 7):

m = dy/dx |_(x=3) = 6(3) - 7 = 11

So, the slope of the tangent line at the point (3, 7) is 11.

To find the equation of the tangent line to the curve at the given point, we can use the point-slope form of a line, which is given by:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the curve.

Substituting the values of m = 11 and the point (x1, y1) = (3, 7) into the equation, we get:

y - 7 = 11(x - 3)

Expanding and simplifying, we obtain the equation of the tangent line to the curve at the point (3, 7) as:

y = 11x - 32

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Answer:

y= -3/x

Step-by-step explanation:

Answer:

i believe its d

Step-by-step explanation:

Car A travels 60 miles in 5 gallons of gas

so its mileage is 60/5 = 12

Car B travels 60 miles in 4 gallons of gas

so its mileage is 60/4 = 15

so change in unit rate in both the car is 15 - 12 = 3

so the percentage change is

the change is 20 %

Answer:

-9,11

Step-by-step explanation:

The negative signs get flipped so if the number was positive it would become negative and vice versa.

Answer:

(-9,11)

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Answer:

5832

Step-by-step explanation:

54+27=81x72=5832

P(Z>-1.5) = 0.9332 , P(X < 25) = 0.334

a) To find the probability of P(Z>-1.5), we need to use the Standard Normal Distribution.  The Standard Normal Distribution is a normal distribution with a mean of 0 and a standard deviation of 1. This distribution is also known as the Z distribution. The formula for finding the standard score (Z score) for any given value (x) from a normally distributed population can be written as

Z = (X - μ)/σ

where X is the raw score

μ the mean of the populationσ is the standard deviation of the population

Substituting the values:

Z = (-1.5 - 0)/1= -1.5

Hence, P(Z>-1.5) = 0.9332 (from Z table).

b) Given, mean (μ) = 25.5, standard deviation (σ) = 1.2.

Find P(X < 25)

Using Standard Normal Distribution, we can write it as

z = (X - μ)/σ

On substituting values, we get:z = (25-25.5)/1.2= -0.42

Probability of X < 25 is P(Z< -0.42)

Hence, we need to find the value of P(Z< -0.42) using the Z table.

P(Z< -0.42) = 0.334

Hence, P(X < 25) = 0.334 (approximately).

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Based on the slopes of both lines, the relationship between both lines is: D. a and b are perpendicular.

The relationship between two lines that are parallel is that they have the same slope, while the relationship between perpendicular lines is that their slopes are negative reciprocals of each other.

Find the slope of the line that passes through (-5, -2) and (-5, -5):

Slope (m) = change in y / change in x = (-5 -(-2)) / (-5 -(-5))

m = (-5 + 2) / (-5 + 5)

m = -3/0 [cannot divide, therefore, the slope is undefined).

The line is therefore a vertical line.

Find the slope of the line that passes through (0, 4) and (5, 4):

Slope (m) = change in y / change in x = (4 - 4) / (5 - 0)

m = 0/5

m = 0

This line is an horizontal line.

In conclusion, the relationship between a vertical and a horizontal line is that they are perpendicular to each other, therefore, the answer is: D. a and b are perpendicular.

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Answer:

y = 3x + 3

Step-by-step explanation:

First find the slope, m, using 2 points on the line: (0, 3) and (-1, 0)

m = (0-3) / (-1-0) = -3/-1 = 3

Find the y-intercept, b, by looking at where the line intersects the y-axis:

b = 3

y = mx + b

y = 3x + 3

There is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

To find the probability that a group of 10 persons will exceed the load limit of the elevator, we need to calculate the probability that the total weight of the group exceeds 2000 lb.

Since the weights of the people are normally distributed with a mean of 185 lb and a standard deviation of 22 lb, we can use the properties of the normal distribution to solve this problem.

First, we need to calculate the mean and standard deviation of the total weight of the group. The mean of the total weight is simply the mean weight of a person multiplied by the number of persons, which is 185 lb * 10 = 1850 lb.

The standard deviation of the total weight is calculated by taking the square root of the sum of the variances of each person's weight. Since the weights are independent, the variance of the total weight is equal to the sum of the variances of each person's weight. So, the standard deviation of the total weight is sqrt(10) * 22 lb ≈ 69.296 lb.

Next, we can use the normal distribution to calculate the probability that the total weight exceeds 2000 lb. We standardize the value using the formula z = (x - mean) / standard deviation, where x is the threshold value of 2000 lb.

Calculating the z-score: z = (2000 - 1850) / 69.296 ≈ 1.81

Finally, we look up the probability corresponding to this z-score in the standard normal distribution table or use a calculator to find the area under the curve to the right of the z-score. The probability that the group of 10 persons will exceed the load limit of the elevator is approximately 0.0351, or 3.51%.

Therefore, there is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

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Answer:

b = 300w + 250

Step-by-step explanation:

As stated in the question, let b represent Alonta's balance and w represent the number of weeks. On week 0, she starts off with $250. This automatically makes Alonta's balance at $250. Hence, b has to equal at least 250 (+ 250). With this, the difference between week 1 and week 0 (or any week following each other) is 300. Hence, 300w, with 300 w meaning Alonta gaining $300 per week.

b = 300w + 250

(Brainliest would be appreciated)

Answer:

i think its 250y+300 i dont know if im right

Step-by-step explanation:

Answer:

6 hours 24 min

Step-by-step explanation:

2hours + 4 hours + 5 hours = 11 hours

12+34+38=84

6hours 24 min

:)

Evaluating f(x, y) along the curve c involves substituting y = 2 into the expressions for f(x, y). This results in a simplified form of f(t, 2) = ((1 + 2t)e^(2t), t^2e^(2t)). By substituting t into this expression, we can obtain the coordinates of the points on the curve c and their corresponding values under the function f(x, y).

To evaluate the function f(x, y) = ((1 + xy)e^xy, x^2e^xy) along the curve c defined by x = t and y = 2, we substitute y = 2 into the expression for f(x, y). This yields f(t, 2) = ((1 + 2t)e^(2t), t^2e^(2t)).

In this simplified form, we can evaluate the function for different values of t to obtain the corresponding points on the curve c and their corresponding values under the function f(x, y). For example, when t = 0, we have f(0, 2) = ((1 + 2(0))e^(2(0)), (0)^2e^(2(0))) = (1, 0). Similarly, when t = 1, we have f(1, 2) = ((1 + 2(1))e^(2(1)), (1)^2e^(2(1))) = (3e^2, e^2).

By substituting different values of t into the expression for f(t, 2), we can generate a set of points on the curve c and their corresponding values under the function f(x, y). This allows us to understand how the function varies along the curve and provides insights into the behavior of f(x, y) with respect to the curve c.

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The percent decrease of speed is given as 20%. Speed after the decrease is 48 miles per hour. So the initial speed will be 60 mph.

Percentage can be defined as the fraction of a number with 100.

10% means 10/100.

Here the percentage decrease is given as 20%.

So, let x be the initial speed.

Decrease in speed = 20% × x= 20/100× x = 0.20x

20% is decreased from the initial velocity x to reach 48 mph

x - 0.20x = 48

0.80x = 48

x = 48/0.80 = 60

So the actual speed from university A to university B was 60 mph.

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The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

Then the side length of the pentagon will be

5 x Side length = 21.8 cm

     Side length = 4.36 cm

Then the area of the pentagon, rounded to the nearest tenth will be

Area of pentagon = 5 x area of triangle

Area of pentagon = 5 x 1/2 x 4.36 x 3

Area of pentagon = 32.7 square cm

Thus, the correct option is C.

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The main function is given by:

f (x) = sine (x)

We then have the following transformations:

Reflections:

Reflection or turning is the mirror image of a figure. It can also be said that it is the turning of points and graphs around the axes.

To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)

f (x) = - sine (x)

Expansions and vertical compressions:

To graph y = a*f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f (x) = - 2 * sine (x)

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

f (x) = - 2 * sine (x) + 3

Answer:

C. reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up

The set of transformations which is needed to graph f(x) = –2sin(x) + 3 is reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up, the correct option is C.

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

We are given that;

The function= f(x) = –2sin(x) + 3

Now,

To graph f(x) = –2sin(x) + 3 from the parent sine function y = sin(x), we need to apply the following transformations:

A reflection across the x-axis, because of the negative sign in front of the 2.

A vertical stretching by a factor of 2, because of the absolute value of the coefficient of sin(x), which is 2.

A vertical translation 3 units up, because of the constant term 3.

Therefore, by transformations answer will be Reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up.

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