There are 475 campers returning to sports camp this year. Last year, 525 campers attended sports camp. The equation 475= 525- c shows the decrease in the number of campers returning to camp from one year to the next. Find the number of campers who did not return to camp this year.

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

Answer:

The range is 17

Step-by-step explanation:

91-74 = 17

The range is the highest number subtracted by the lowest number

Answer:

17

Step-by-step explanation:

When saving money for a future time when you will be too old to work, the concept of exponential growth becomes crucial.

By investing money, it has the potential to grow exponentially over time due to the compounding effect.

The initial investment, along with any accumulated interest or returns, becomes the new principal, which continues to generate further growth. As time passes, the investment grows faster and faster, propelled by compounding.

This exponential growth is particularly advantageous for long-term retirement planning, as it allows for the accumulation of significant wealth over many years.

Starting early and consistently contributing to investments can harness the power of exponential growth, helping to secure a financially stable future during retirement.

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Answer:

M = 2

Step-by-step explanation:

3M+4/3 = 28/3 -M

3M+M +4/3-28/3 = 0

4M -8 = 0

4M = 8 ( divide 4 in both sides)

M=8/4

M=2

Answer:

13!

Step-by-step explanation:

I hope I'm right and I hope it helps! *If I'm wrong again that would be really embarrassing.*

Answer:

irrational

Step-by-step explanation:

irrational because it has decimals at the end.

Since we can write the given decimal number into fractional form therefore it is a rational number.

Use the concept of decimals defined as:

Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.

The given number is:

2.06532

The number 2.06532 is rational because it can be expressed as a fraction of two integers.

In this case,

It can be written as the fraction 206532/100000.

Hence,

The given number is a rational number.

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The answer that could represent the Number of pages that Manny has filled up is the one that is closest to x/12 and this answer is (x/12) rounded up to the nearest whole number, which is represented as:  Answer:  Ceiling(x/12)

Given that Manny has a collection of Pokémon cards, and he keeps them in a binder with special protective pages to put the cards in, and each page can fit 12 cards. The task is to find which of the following answers could represent the number of pages that Manny has filled up.

Let the total number of cards Manny has = then, the number of pages Manny has filled up = number of cards that one page can fit = 12Therefore, the total number of pages that can fit all the cards = x/12Now, we will use the division algorithm to find the value of y:

When x is divided by 12, we get a quotient of q and a remainder of r where r is between 0 and 11.x = 12q + dividing by 12, we get;  x/12 = q + r/12We know that each page can fit 12 cards,

Therefore, the number of pages Manny has filled up = x/12 = q + r/12Now, the value of q + r/12 can be any number between q and q + 1 since the remainder (r) can take on values between 0 and 11.

Therefore, the number of pages Manny has filled up is approximately equal to q + r/12. Hence, the answer that could represent the number of pages that Manny has filled up is the one that is closest to x/12 and this answer is (x/12) rounded up to the nearest whole number, which is represented as:  Answer:  Ceiling(x/12)

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Answer:

30 inches

Step-by-step explanation:

b1=5     b2=10

5+10=15

15 x 4= 60

60 ÷ 2=30

30 inches

Is the answer

Answer:

150.9

Step-by-step explanation:

2/3x=100.6

x=100.6/(2/3)

x=100.6(3/2)

x=150.9

Answer:

It is answer B

Step-by-step explanation:

The slope is positive and equal to 3, there is a positive relationship between X and Y. The remaining statements regarding a horizontal relation, a negative slope, or a vertical relation between X and Y are incorrect.

Based on the given information, we can conclude the following:

1. The slope is positive, and it is equal to 3: The coefficient of X in the equation Y = 390 * 3X is 3, indicating a positive relationship between X and Y. For every unit increase in X, Y increases by 3 units.

2. When X = 0, Y = 390: When X is zero, the equation becomes Y = 390 * 3 * 0 = 0. Therefore, when X is zero, Y is also zero.

3. The relation between X and Y is horizontal: The statement "the relation between X and Y is horizontal" is incorrect. The given equation Y = 390 * 3X implies a linear relationship between X and Y with a positive slope, meaning that as X increases, Y also increases.

4. When Y = 0, X = 130: To find the value of X when Y is zero, we can rearrange the equation Y = 390 * 3X as 3X = 0. Dividing both sides by 3, we get X = 0. Therefore, when Y is zero, X is also zero, not 130 as stated.

5. The slope is -3: The statement "the slope is -3" is incorrect. In the given equation Y = 390 * 3X, the slope is positive and equal to 3, as mentioned earlier.

6. The relation between X and Y is vertical: The statement "the relation between X and Y is vertical" is incorrect. A vertical relationship between X and Y would imply that there is no change in Y with respect to changes in X, which contradicts the given equation that shows a positive slope of 3.

7. As X goes up, Y goes down (downward sloping or negative relationship between X and Y): This statement is incorrect. The equation Y = 390 * 3X indicates a positive relationship between X and Y, meaning that as X increases, Y also increases.

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P = 2200 + 60N

Step-by-step explanation:

I gotcha covered!

Answer:

56-770-=76880-87760-7765676r[790-0698--978644870

Step-by-step explanation:

lol

Answer:

The distance between the two points is approximately 3.142 units.

Step-by-step explanation:

The polar coordinates (r, θ) represent the point located at a distance of r from the origin and an angle of θ from the positive x-axis.

The given polar coordinates are:

(6, /3) : This represents a point that is 6 units away from the origin and makes an angle of /3 radians (or 60 degrees) with the positive x-axis.

(8, 2/3): This represents a point that is 8 units away from the origin and makes an angle of 2/3 radians (or approximately 38.69 degrees) with the positive x-axis.

To find the distance between these two points, we can use the following formula:

distance = \(\sqrt{(r1^2 + r2^2 - 2r1r2*cos(θ2 - θ1))}\)

where r1 and r2 are the respective radii (or distances from the origin) of the two points, and θ1 and θ2 are their respective angles.

Substituting the given values, we get:

distance = \(\sqrt{(6^2 + 8^2 - 268*cos(2/3 - /3))}\)

distance = \(\sqrt{(36 + 64 - 96*cos(1/3))}\)

distance = \(\sqrt{(100 - 96*cos(1/3))}\)

Using a calculator, we get:

distance ≈ 3.142

Therefore, the distance between the two points is approximately 3.142 units.

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Answer:

Yes

Step-by-step explanation:

Both quadrilaterals have two triangles. The triangles that coordinate with the triangles in the other quadrilateral are proven congruent by AAS and AA. That makes the quadrilaterals congruent.

Answer:

c. neuma should have only divided 9 by 9, not 54 by 9.

Step-by-step explanation:

Neuma had a container that held 9/54 of a kilogram of rainbow sprinkles. she divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. to determine the weight of each serving, neuma performed the calculations below. she concluded that each serving weighs 1/6 of a kilogram. what is neuma’s error?

a. neuma should have multiplied by 54, not divided.

b. neuma should have multiplied by 9, not divided.

c. neuma should have only divided 9 by 9, not 54 by 9.

d. neuma should have only divided 54 by 9, not 9 by 9

Neuma's calculation

9/54

= 1/6

Kilogram of rainbow sprinkles = 9/54

Ice cream servings = 9

Correct calculation

Weight of each servings = total weight / number of servings

= 9 / 54 ÷ 9

= 9 / 54 × 1 / 9

= 1 / 54

Each servings = 1/54 kilogram

c. neuma should have only divided 9 by 9, not 54 by 9.

Answer:

c

Neuma should have only divided 9 by 9, not 54 by 9.

The number of hazardous waste sites in State Y in the year 2000 was 21.

Let n be the number of hazardous waste sites in State Y.

Based on the problem statement, we have

2n - 8 = 34

So, we have

2n = 42

Divide

n = 21

Hence, the waste sites in State Y in the year 2000 was 21.

Given that

6x + 1.6 = 58

Apply the subtraction property

6x = 56.4

Apply the division property

x = 9.4

Here, we have the bar diagram

Adding the terms in the bar, we have

n + n + n + 8 = 53

3n + 8 = 53

Apply the subtraction property

3n = 45

Apply the division property

n = 15

Hence, the bar equation is 3n + 8 = 53

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If you are trying to find the missing measures of a rectangle, you should know that all rectangles have four sides, and each side has a length.

In other words, if you have a rectangle, two of the angles must be 90 degrees, and the other two angles must also be 90 degrees. To find the missing measures of a rectangle, you need to use the properties of rectangles.

First, find the length of each side. The length of all sides of a rectangle should be the same. Then, calculate the area of the rectangle. You can do this by multiplying the length of one side with the length of the other side.

Finally, you can use the Pythagorean Theorem to find the missing measures.

The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Using this theorem, you can find the length of the hypotenuse of the rectangle.

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Complete Question:

if each quadrilateral is given, then define the steps to find the missing measures a rectangle.

Step-by-step explanation:

Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.

Answer:

110.526316

Step-by-step explanation:

hope it helps

Answer:

110

Step-by-step explanation:

Because if you get 84 questions right on a test out of 110 then you get a total of a 76%

Answer: B, x=3

Step-by-step explanation: isolate x so 13-10=3

45^2=27^2+gh^2

2025=729+gh^2

2025-729=gh^2

1296=gh^2

underoot of 1296 =gh

36=gh

hope this helps you

Answer:

c is the ans

Step-by-step explanation:

The net operating income will be $ 5000.

The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.

Here we have  

A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.

In total 10,000 units are sold  

The net operating income will be computed by Subtracting all expenditures from all money collected on the product.    

Net operating income = ($10 - $6) × 10000 - $ 35000

= ($10 - $6) × 10000 - $ 35000  

=  $ 40000 - $ 35000

= $ 5000    

Therefore,

The net operating income will be $ 5000.

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The system of equations for Sean's outdoor yard games is: Cost equation: C = 50x + 300. Revenue equation: R = 85x.
Again, we round up to the nearest whole number. Therefore, the least number of games Sean needs to sell for a profit is 9 games.

To find Sean's break-even point, we need to find the point where the cost equals the revenue. So we can set the two equations equal to each other and solve for x:
50x + 300 = 85x
Subtracting 50x from both sides, we get:
300 = 35x
Dividing both sides by 35, we get:
x = 8.57


To determine the least number of games Sean will need to sell in order to make a profit, we need to find the point where the revenue is greater than the cost. So we can set the revenue equation greater than the cost equation and solve for x:
85x > 50x + 300
Subtracting 50x from both sides, we get:
35x > 300
Dividing both sides by 35, we get:
x > 8.57
Again, since Sean can't sell a fraction of a game, we need to round up to the nearest whole number. Therefore, Sean needs to sell at least 9 games to make a profit.
To find Sean's break-even point and the least number of games he needs to sell for a profit, we will work with the given system of equations. The equations for cost (C) and revenue (R) are:
C(x) = 50x + 300
R(x) = 85x
To find the break-even point, we will set the cost equal to the revenue:
50x + 300 = 85x
Now, solve for x:
35x = 300
x = 300 / 35
x ≈ 8.57
Since x represents the number of games, we round up to the nearest whole number because Sean cannot sell a fraction of a game. So, Sean needs to sell at least 9 games to break even.
To find the least number of games for a profit, we need the revenue to be greater than the cost:
85x > 50x + 300
Solve for x:
35x > 300
x > 300 / 35
x > 8.57

So Sean's break-even point is when he sells approximately 8.57 games. However, since he can't sell a fraction of a game, we need to round up to the nearest whole number. Therefore, Sean needs to sell at least 9 games to break even.

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So the first task is to:
First, select the point on the graph that represents Sean's break-even point, which is the point where the costs to make the games will equal the revenue from selling them. Notice that the revenue equation has already been graphed.

We know the initial cost of $300 for supplies, $50 per each game and it's going to be sold at $85.

The graph shows four points. The first one being at 5 games sold, with approximately $425 collected. The second one at around 8.5 games sold, which is about $725. The third one is ten games sold, with $850 collected. The last one is around 11.8 game sold, with approximately $1000 gained.

So: 50 x 5 + 300 = 550 (Cost per game + initial cost)

      85 x 5 = 425 (Cost of games sold)      That removes the first point.

           50 x 8.5 + 300 = 725

           85 x 8.5 = 722   (Close enough:)

That gave us it took Sean 8.5 games to have a revenue equal to the cost of making them.

Then, the second task is to:

Determine the least number of games Sean will need to sell in order to make a profit. Profit occurs when revenue is greater than the cost.

The choices are at 5, 8, 9, or 10 games.

Since we previously found out that it took him 8.5 games to have an equal revenue to the cost, we can easily knot that it took him 9 games to make a profit.

But just for sure:
50 x 9 + 300 = 750

          85 x 9 = 765

Peace:D

ヾ(•ω•`)o

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

Attached is a plot that compares the two variables, income and revenue using the test statistic.

(A) A statistic (a quantity obtained from the sample) used in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

In general, a test statistic is chosen or defined in a way that quantifies, within observed data, behaviors that would separate the null from the alternative hypothesis, where such an alternative is prescribed, or that would characterize the null hypothesis if there isn't an explicitly stated alternative hypothesis.

(B) Weakly positive association, r = 0.423.

(C) df = n-2 = 25-2 = 23 One-tailed Critical Value: = 0.05 T = 1.319

T, the test statistic, is defined as r*Sqrt[(n-2)/(1-r2)] = 0.423*Sqrt[(25-2)/(1-0.4232)]. = 2.24

We can infer that there is a positive link between the variables because 2.24 > 1.319.

(D) The variation in the number of rooms occupied accounts for around 18% of the variation in revenue, according to the formula r2 = 0.4232 = 0.179.

Therefore, attached is a plot that compares the two variables, income and revenue using the test statistic.

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The boats are approximately 9.4 units apart.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):

distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)

distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)

distance =\(\sqrt{(88.36)}\)

distance ≈ 9.4

Therefore, the boats are approximately 9.4 units apart.

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To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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Answer: $123,105

Explanation:

Sales                                                                               $830,000

Less: Sales Discounts                             $12,450

         Sales returns                                  $18,675         ($31,125)

Net Sales                                                                        $798,875

Less: Cost of Goods sold                                             ($390,250)

Gross Profit                                                                     $408,625

Less: Operating expenses                                            ($285,520)

Net income                                                                     $123,105