Write down the inequality shown on the
number line below.

In the drawing, the length of the living room is 3 millimeters.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, Tyler made a scale drawing of an apartment. The scale of the drawing was 1 millimeter : 2 meters.

The living room is 6 meters long in real life and assuming in the drawing it is x millimeters.

∴ 1 : 2 : : x : 6.

1/2 = x/6.

x = 6/2.

x = 3.

So, In drawing it is 3 millimeters.

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Answer:

Start with 60 fliers

post 1/4 of fliers so 60*.25=15

60-15=45 left

post 1/5 of remaining so 45*.20=9

45-9=36 left

Step-by-step explanation:

Last week: (had 60) (used 1/4)= (60)(1/4)= 15. So, you used 15.

You have 60-15=45 left. This is how many you have to start the week.

This week: (had 45) (used 1/5)= (45)(1/5)= 45/5=9. So, you used 9.

This means that you have 45-9= 36 left.

Mary Still did not post 60 fliers.

Total fliers Mary was having = 96

Fliers she posted last week = 1/6 = 0.16

Fliers left with Mary after posting 1/6 part last week

= 96 x 0.16

= 16

Fliers left with Mary after the posting of 1/6 of them

= 96 - 16

= 80

Now the new remaining number of fliers with Mary = 80

Fliers she posted this week = 1/4 = 0.25

Fliers left with Mary after posting 1/4 part this week

= 80 x 0.25

= 20

Fliers left with Mary after the posting of 1/4 of them this week

= 80 - 20

= 60

Therefore, the fliers that Mary still did not post = 60

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The rate of change between the points (3.4, -0.1) and (3.5, 0.1) is 2.

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.

The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.

Therefore,

rate of change = Δy / Δx

rate of change = y₂ - y₁ / x₂ - x₁

Hence, let's find the rate of change of (3.4,-0.1) and (3.5,0.1).

rate of change = 0.1 + 0.1 / 3.5  - 3.4

rate of change = 0.2 / 0.1

rate of change = 2

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In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.

There are many different types of equations, such as linear, quadratic, cubic, etc.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It shows that the expressions printed on the left and right sides have an equal relationship. In any mathematical equation, we have LHS = RHS (left hand side = right hand side).

Equations can be solved to find the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol in the sentence, it is not an equation.

Hence, In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

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Complete question-

Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.

The subject of a random event is covered in the mathematical field of probability.

Statistics is a field of mathematics that deals with gathering, analyzing, interpreting, and presenting vast amounts of numerical data.

Given,

Probability;-

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Statistics;-

Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States. On the other hand, a sample statistic is the average income for a sample taken from the United States. Although both figures correspond to the mean income, only one is a statistic.

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The intervals for which the function y = -7 - |x| is increasing and decreasing is given as follows:

The function is defined as follows:

y = -7 - |x|.

The parent absolute value function is increasing for x > 0 and decreasing for x < 0.

For this problem, the multiplication by -1 means that the function was reflected over the x-axis, meaning that the intervals of decrease and increase were exchanged, and thus they are given as follows:

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Kate should deposit $46,158.28 monthly into an account

In this question, we have been given the amount A = $50,000,

interest rate R = 1.6%

period t = 5 years

We need to find the principal amount (P)

First, convert R as a percent to decimal

r = 1.6/100

r = 0.016

Using the formula of compound interest for P,

P = A / (1 + r/n)nt

P = 50,000.00 / (1 + 0.016/12)(12)(5)

P = $46,158.28

Therefore, Kate should deposit $46,158.28

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A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension.

The partial results :

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Answer:

Go up by 1 and run 4, remeber slope: rise over run. If the point is 8,5 then find 8 on the x axis and 5 and the y, wherever they meet, that's your answer.

Step-by-step explanation:

The solution  to the system of equations is (x, y) = (2, -1).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

WE are given the  system of equations

2x−y=5

y = 2x - 5

y=3x−7

Adding the two equations Then divide by 2

Subtracting the second equation from the first gives;

0 = x -2

x = 2

y = -1

therefore, The solution is (x, y) = (2, -1).

The solution  to the system of equations is (x, y) = (2, -1).

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Answer:

d = {-10, 0, 3, 7, 8}

Step-by-step explanation:

the domain is the set of x values in a function

Answer: y=-3/4x-3.5

Step-by-step explanation:

First, set up the equation based on the information we already know. The slope-intercept form is y=mx+b (m being the slop and b is the y-intercept)

We already know the slope, so we can substitute it.

y=-3/4x+b

Now, the only variable we need to find is b (the y-intercept)

To do this we can substitute the point that was given, (2,-5)

Substitute -5 in for y and 2 in for x.

Then you get the equation -5=-3/4(2)+b

Multiply -3/4 and 2 and you get -5=-3/2+b

Add -3/2 from both sides to isolate b

You then get b=-3.5

Substitute b back in the original equation

Your final answer is y=-3/4x-3.5

Answer:

D

Step-by-step explanation:

it is a regular pentagon.

so, all side lengths are equal, and also all cross connections between corners are equal.

that makes TR parallel to PQ.

and that makes SPQ an isoceles triangle (both legs are equally long). and the smaller triangle S to x to the angle to the right of x is similar to SPQ, which means they have the same angles.

so, the triangle interior angle at P = the triangle interior angle Q = y.

and they must be the same as the bottom 2 interior angles of the small triangle.

x and the angle right to x are equal too, as they are the triangle exterior (supplementary) angles to the bottom 2 interior angles of the small triangle.

we know that the sum of all angles of the internal trapezoid (PQ to x and its right neighbor) is 360.

and based on the EqualLogic found above these angles are

2×x + 2×y = 360°

x + y = 180°

Answer:

A. 4

Step-by-step explanation:

x/2 - 5 = -3

x/2 = 2

x = 4

Multiply both sides of the equation by 2.

Add 10 to both sides.

Add −6 and 10 to get 4.

James Handerson should shoot for 241.5 lbs.

First, convert 15% into a decimal by moving the decimal place over twice to get 0.15.

Then, set up this equation:

0.15 x 210 = 31.5

Now, 31.5 is the percent increase, so now we add to the original weight:

210 + 31.5 = 241.5

241.5 lbs.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

The required zeros of the function y=(x-3)(x + 2)(x-2) is given as 3, -2, and 2. Option C is correct.

Here,
Zero of the function are the values of x, for a function for which the function gives y = 0,
So let y = 0,   - - - - - -(1)

Put y = (x-3)(x + 2)(x-2) in equation 1
(x-3)(x + 2)(x-2) = 0
Equating each parenthesis step by step with zero,
x - 3 = 0     ; x + 2 = 0     ;   x - 2 = 0  
    x  = 3     ;     x  = -2    ;        x = 2

So the values that came out are 3, -2, and 2, are said to be zeros of the given function,

When we substitute any value in the function then y becomes zero such as,
Put x = 3 in function,

y = (3-3)(3+2)(3 - 2)
y = (0)(5)(1)
y = 0

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The round of tip amount.

Total tip = $ 7.00

Total (Bill + Tip) = $ 39.00.

How to Calculate Tip?

To calculate the tip multiply the total check by 1 plus the decimal percentage tip you'd like to leave.

If you wanted to leave a 20% tip, you would add 1 to 0.20 to get 1.20. Multiply the bill by 1.20 to get the total amount you'd leave including tip.

To calculate this, you can multiply the bill amount by the tip percentage: $32 * 0.20 = $6.40.

The tip amount was $6.40.

Hence, the round of tip amount.

Total tip = $ 7.00

Total (Bill + Tip) = $ 39.00.

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Answer:

A=1 B=2 C=7

Step-by-step explanation:

Look at the graph!!!!

82.5 million was the profit the year before the profit decreased 20% to 66 million from one year to the next

What does profit means ?

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Any profits generated are returned to the company's owners, who can decide whether to keep the money for themselves, pay dividends to shareholders, or reinvest it in the company.

Entire revenue less total costs equals profit.

Companies report gross profit, operational profit, and net profit for accounting purposes (the "bottom line").

Investors are drawn to profitable businesses because these businesses either distribute their earnings as dividends to shareholders or invest them back into the business, which raises stock value.

According to the question Company lost 20% from its profit and it reached to 66 million that means

let X be the total profit of the year

X - loss percent = 66 millions

X - X (20/100) = 66 million

X-0.2X = 66 million

0.8X = 66 million

X= 66/0.8 million

X = 82.5 million

So, 82.5 million was the profit the year before

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Rounded to the nearest tenth of a million dollars, the company made $3.2 million in profit in the year 2003.

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. It is, in other words, the difference between income and costs. Profit is an important aspect in a company's performance and is often quantified in monetary terms, but it may also be viewed .For example, for each consecutive year after that, their profit increased by 13%.

Profits may be divided into two categories: net profit and gross profit. After deducting all costs, taxes, and expenses, a company's net profit is the overall profit it has made. In contrast, gross profit is the profit made by a firm before expenses and costs are deducted.

How to solve?

In the year 2001, the company made $2.2 million * 1.13 = $2.486 million in profit.

In the year 2002, the company made $2.486 million * 1.13 = $2.82778 million in profit.

In the year 2003, the company made $2.82778 million * 1.13 = $3.1987314 million in profit.

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The probability that the sample mean will lie between 1070 and 1120 is .7001 to .8500.

To find the probability that the sample mean will lie between 1070 and 1120, we use the Z-score formula:

Z = (x - μ) / σ

where x is the value we are looking for (in this case 1070 or 1120), μ is the population mean (1100), and σ is the population standard deviation (100).

Using this formula, we can calculate the Z-scores for 1070 and 1120, which are -0.3 and 0.2 respectively.

We can then use a Z-table to find the probability associated with each of these Z-scores. The probability associated with a Z-score of -0.3 is 0.6179, and the probability associated with a Z-score of 0.2 is 0.7886.

The probability that the sample mean will lie between 1070 and 1120 is the difference between these two probabilities, which is 0.1707. This is equivalent to a probability of 0.7001 to 0.8500.

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Accuracy rate is equal to the difference of predicted value and true value  divide it by true value and then multiply by 100 to get the rate.

Accuracy rate = [ | Predicted value - True vale|/ true value ] × 100

Therefore, the accuracy rate is the percentage of the ratio of difference of predicted value and true value to the true value.

The given question is incomplete, I answer the question in general according to my knowledge:

How is the accuracy rate calculated?

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Answer:

After the first translation, the coordinates of the vertices of the triangle will be X (3,-13), Y (0,-8), Z (-7, 1). After the second translation, the coordinates of the vertices will be X (5,-7), Y (2,-2), Z (-5, 7).

The final translation rule that maps the pre-image to the final image is a translation of 2 units right and 6 units up. This can be written as a translation rule of the form (x, y) -> (x + 2, y + 6).

Step-by-step explanation:

After the first translation the coordinates are:

After the second translation the coordinates are:

The final translation rule is:

or

Therefore, the linear speed of the wheel on a bike is approximately 0.9π miles per hour.

The pace at which an object travels a specific distance in a predetermined amount of time is known as linear speed. By dividing the distance traveled by the time it takes to cover that distance, it may be used to determine how rapidly an item is travelling in a straight line. For instance, if a car moves 100 meters in 10 seconds, its linear speed is 10 meters per second. Linear speed is distinct from average speed, which takes into account any variations in velocity or direction throughout the duration of a voyage. Linear speed is also distinct from tangential speed, which is the pace at which an item travels along a circular route. Physics' fundamental idea of linear speed.

How to solve?

C=2πr,

C=2π(19)=38π.

linear speed of v=(38π/60)*5280=33.6π feet per second.

final speed of v=(33.6π/3600)*60=0.9π miles per hour.

Therefore, the linear speed of the bike is approximately 0.9π miles per hour.

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Answer: Ethan

Step-by-step explanation:

E:A

18:45 on page

12:9 per day

48:36 after 4 days

Ethan is further along in the book after 4 days

Answer:

Step-by-step explanation:

a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).

b.) 28.3 = [tex]23.1e^{0.0152t}[/tex]

1.22510823 ≈ [tex]e^{0.0152t}[/tex]

ln 1.22510823 ≈ 0.0152t

t≈13.4 MILLION