Luisa began walking up a hill at a spot where the elevation is 0.9 km. After she walked
3 km, she saw a sign giving the elevation as 0.95 km. How far will she have walked when she
reaches and elevation of 1.1 km?

We will use the  distributive property to take a common factor in the next step:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Using that we will see that the solution is x = 10.

The distributive property can be written as:

A*(B + C) = A*B + A*C

Now we have the equation:

(1/5)*x + 8 = (1/10)*x + 9

If we group like terms we get:

(1/5)*x - (1/10)*x = 9 - 8

Here we apply the property, we can rewrite the left side as:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Then we can write:

(1/5)*x - (1/10)*x = 9 - 8

(1/5 - 1/10)*x = 1

(1/10)*x = 1

x = 10*1

x = 10

And that is the solution.

Learn more about distributive property:

https://brainly.com/question/2807928

#SPJ1

The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.

The probability of selecting a score less than or equal to 370 is approximately 0.3821, which is option (b).

We can use the standard normal distribution to find the probability of selecting a score less than or equal to 370, given that the mean is 400 and the standard deviation is 100.

First, we need to standardize the value 370 by subtracting the mean and dividing by the standard deviation:

z = (370 - 400) / 100

= -0.3

Next, we look up the probability of a standard normal random variable being less than or equal to -0.3 in a standard normal distribution table, or use a calculator or statistical software. This gives us:

P(Z ≤ -0.3) ≈ 0.3821

Therefore, the probability of selecting a score less than or equal to 370 is approximately 0.3821, which is option (b).

Learn more about probability

brainly.com/question/30034780

#SPJ11

Answer:Express the area of the entire rectangle. Your answer should be a polynomial in standard form. 3y3 + 8y2 + 2y 543. Area

Step-by-step explanation:

Answer:

15y^6-40y^5+10y^4

Step-by-step explanation:

i got it right on khan

Answer:

3 1/3

Step-by-step explanation:

Answer:

Exact form: 10/3

Decimal form: 3.3

Mixed-number form: 3 1/3

Step-by-step explanation:

hope this helps :)

The expression obtained by simplifying is 3\(x^{3}\) + 17\(x^{2}\) + 21x - 9.

What is an expression?

A mathematical expression consists of its own components, at least two additional variables or integers, and one or more arithmetic operations.

We are given an expression as

(\(x^{2}\) + 6x + 9) (3x - 1)

Now, for simplifying the expression, we will multiply the terms.

So, we get

⇒ (\(x^{2}\) + 6x + 9) (3x - 1)

⇒ 3\(x^{3}\) - \(x^{2}\) + 18\(x^{2}\) - 6x + 27x - 9

Now, by combining the like terms, we get

⇒ 3\(x^{3}\) + 17\(x^{2}\) + 21x - 9

Hence, the expression obtained by simplifying is 3\(x^{3}\) + 17\(x^{2}\) + 21x - 9.

Learn more about expression from the given link

https://brainly.com/question/1859113

#SPJ1

Question: Simplify the following

(x² + 6x + 9) (3x - 1)

Using the normal distribution, it is found that the probability cannot be determined by the Central Limit Theorem.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Researching this problem on the internet, we have a skewed right distribution with a sample size of 16, hence the probability cannot be determined by the Central Limit Theorem.

More can be learned about the normal distribution at https://brainly.com/question/24537145

#SPJ4

Answer:

5 Hours

Step-by-step explanation:

To figure out how many hours Isaac would have to work for both plans to be the same, you should follow these steps:

Step 1: Subtract 3x from both sides.

5x+20−3x=3x+30−3x

2x+20=30

Step 2: Subtract 20 from both sides.

2x+20−20=30−20

2x=10

Step 3: Divide both sides by 2.

2x/2 = 10/2

Now you get x = 5.

Answer:

say thank you please. the answer for question 1 is D and question 2 is C

When constructing a frequency distribution for a numerical variable, it is important to remember that the size of the class intervals must be appropriate.

It is not a good idea to use small class intervals, as it may result in too many classes and low frequencies. However, it is also not a good idea to use large class intervals, as it may result in too few classes and high frequencies.Furthermore, it is important to ensure that the lower limit of each class interval is included in that class, but the upper limit is not.

Additionally, the class intervals should be mutually exclusive and should not overlap. Finally, the data should be properly categorized before constructing the frequency distribution.The purpose of constructing a frequency distribution is to organize data into groups or categories, known as classes or intervals, to facilitate data analysis and interpretation.

This distribution shows the number of occurrences of each value or group of values in a set of data. This information can be presented graphically using histograms or frequency polygons, which provide a visual representation of the distribution of the data.

Learn more about frequency polygons here,

https://brainly.com/question/29906025

#SPJ11

Creating a frequency distribution involves dividing the variable range into equal, non-overlapping class intervals and counting the number of scores that fall into each. These frequencies summarize the dataset and can be used for further analysis and visualization.

When constructing a frequency distribution for a numerical variable, it is important to remember that the variable range should be divided into equal interval groups (class intervals) but not overlapping. For example, for a set of exam scores ranging from 60 to 100, you might divide the range into class intervals of 60-70, 70-80, 80-90 and 90-100. Then, count the number of scores (frequency) that fall into each class interval. This distribution of frequencies gives a good summary of the data set and can be further utilized to create visual representations such as histograms or bar charts.

https://brainly.com/question/32438359

#SPJ2

Answer:

Which graphs show functions with direct variation? Select three options. A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4). A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5). A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line

Step-by-step explanation:

The number of pennies they lose altogether is 288 pennies.

How to find the number of pennies they lost together?

Together, Katya and Mimi have 480 pennies in their piggy banks.

Therefore, there total amount of pennies is 480.

After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.

Therefore,

let

x = number of pennies Katya have

y = number of pennies Mimi have

Hence,

x + y = 480

x = 480

Katya pennies left = x - 1 / 2x = 1 / 2x

Mimi pennies left = y - 2 / 3 y = 1 / 3 y

1 / 2 x  = 1 / 3 y

2y = 3x

y = 3  / 2 x

Substitute the value in equation(i)

x + 3 / 2 x  = 480

2.5x = 480

x = 480 / 2.5

x = 192

Therefore,

192 + y = 480

y = 480 - 192

y = 288

The number of pennies they lose can be calculated as follows;

Katya losses = 1 / 2 × 192 = 96

Mimi losses = 2 / 3 × 288  = 192

Therefore, they lost 96 + 192 = 288 pennies altogether.

learn more about pennies here:

brainly.com/question/11485510

#SPJ4

The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To know more about the investment visit:

https://brainly.com/question/29547577

#SPJ11

Answer: 48

Step-by-step explanation:

If 25% of the people in the cafeteria is equal to 12, then you have to work out the value of 100%.

100 divided by 4 is 25.

Therefore, if we times 25 by 4, then we get 100%.

12 times by 4 is 48, meaning there are 48 people in total in the cafeteria.

The value of the missing angle x of the quadrilateral ACDE is: x = 135°

We are told that Triangle ABC is an Isosceles triangle where:

∠ABC = 110°

We know that the base angles of an isosceles triangle are equal and as such:

∠BAC = ∠BCA = (180 - 110)/2

∠BAC = ∠BCA = 35°

Now,

∠BCA = ∠CAE = 35° because they are alternate angles

Sum of angles in a quadrilateral is 360°

Thus:

35 + x + 100 + 90 = 360

225 + x = 360

x = 360 - 225

x = 135°

Read more about missing angle in quadrilateral at: https://brainly.com/question/28969239

#SPJ1

answer

r = b²-4ac

= 81 + 36

= 117

Answer: y=3

Step-by-step explanation: first simplify

after that you combine like terms so

15y-13y-2y+3y

once you subtract and add all of those you will get 3y=9

divide both sides and you’ll get y=3

hoped this helped :D

The slope of a line perpendicular to the given line is 0

From the question, we have the following parameters that can be used in our computation:

Points = (p, a) and (p, -a)

The slope of a line perpendicular to the given line is calculated as

Slope = -Change in x/Change in y

using the above as a guide, we have the following:

Slope = -(p - p)/(a + a)

Evaluate

Slope = 0

Hence, the slope of a line perpendicular to the given line is 0

Read more about slope at

https://brainly.com/question/16949303

#SPJ1

Answer:

A-3x3 bc the parentheses are multiplying

Answer:

Number of more red cup = 1.5 cups

Step-by-step explanation:

Given:

Number of white cup = 4

Number of red cup = 6

Number of more white cup = 1

Find:

Number of more red cup

Computation:

Number of more red cup = Number of more white cup x [Number of red cup / Number of white cup]

Number of more red cup = 1 [6/4]

Number of more red cup = 1.5 cups

Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

For more questions on Symbolab

https://brainly.com/question/30398313

#SPJ4

Here's the solution in attachment :

The rate of change of z with respect to t is given by [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2).

To use the chain rule to find dz/dt, we first need to find the partial derivatives of z with respect to x and y.

∂z/∂x = 1/(1 + (y/x)^2) * (y/x^2) = y/(x^2 + y^2)
∂z/∂y = -1/(1 + (y/x)^2) * (1/x) = -x/(x^2 + y^2)

Now we can apply the chain rule:

dz/dt = ∂z/∂x * dx/dt + ∂z/∂y * dy/dt

Substituting in the given values:

dx/dt = e^t
dy/dt = e^(-t)

x = e^t
y = 9 - e^(-t)

∂z/∂x = y/(x^2 + y^2) = (9 - e^(-t)) / (e^(2t) + (9 - e^(-t))^2)
∂z/∂y = -x/(x^2 + y^2) = -e^t / (e^(2t) + (9 - e^(-t))^2)

Substituting these into the chain rule formula:

dz/dt = [(9 - e^(-t)) / (e^(2t) + (9 - e^(-t))^2)] * e^t + [-e^t / (e^(2t) + (9 - e^(-t))^2)] * e^(-t)

Simplifying:

dz/dt = [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2)

Therefore, the rate of change of z with respect to t is given by [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2).

Learn more about the chain rule

brainly.com/question/30117847

#SPJ11

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

Learn more about costs here:

https://brainly.com/question/28778430

#SPJ11

The observer is approximately 132.76 meters away from the base of the tower.

To determine the distance from the observer to the base of the tower, we can use trigonometry and the concept of tangent.

Let's denote the distance from the observer to the base of the tower as 'x'.

In this scenario, the observer forms a right triangle with the tower, where the height of the tower is the opposite side, the distance 'x' is the adjacent side, and the angle of elevation (35°) is the angle between the opposite and adjacent sides.

According to trigonometry, the tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side. Therefore, we can write:

tan(35°) = opposite/adjacent

tan(35°) = 93/x

Now, we can solve for 'x' by rearranging the equation:

x = 93 / tan(35°)

Using a scientific calculator or table, we can find the tangent of 35°, which is approximately 0.7002. Therefore, we have:

x = 93 / 0.7002

Evaluating this expression, we find:

x ≈ 132.76

Hence, the observer is approximately 132.76 meters away from the base of the tower.

In summary, based on the given information about the tower's height (93 meters) and the angle of elevation (35°), we have calculated that the observer is approximately 132.76 meters away from the base of the tower.

For more such questions on observer visit:

https://brainly.com/question/30124630

#SPJ8

A = w × (w + 2) is the simplified algebraic expression for the area of the rectangle in terms of its width (w).

Let's denote the width of the rectangle as 'w'. According to the given information, the length of the rectangle is two more units than its width, so the length can be represented as 'w + 2'.

The formula for the area of a rectangle is given by multiplying its length and width. Therefore, the area of the rectangle (A) can be expressed as:

A = width × length

Substituting the values for width (w) and length (w + 2), the algebraic expression for the area of the rectangle becomes:

A = w × (w + 2)

This is the simplified algebraic expression for the area of the rectangle in terms of its width (w).

For more details about rectangle

https://brainly.com/question/15019502

#SPJ4

Answer:

dear hope it helps you...

Answer:

0 represents the ground level

Answer:

It's letter D.

Step-by-step explanation:

3.14÷60×50= 2.61 but you have to opposite remember if the number is a little number you have to opposite and that is the answer 6.2 but do not joy like this . so the real answer is 62