The owner expects to sell 800 snow cones next week. He earns a profit of $2.29 on each snow cone sold. Based on last week's results, how much profit can the owner expect to earn from cherry snow cone sales next week? Cherry was sold 120 times last time.

Reason for statement 2: Definition of a parallelogram. Reason for statement 3: Alternate interior angles are congruent. Reason for statement 4: Symmetric property. Reason for statement 5: AAS triangle congruence criterion.

For statement 2:

JK is parallel to LM; JM is parallel to LK. The reason is since JKLM is parallelogram, segment JK is parallel to LM according to the definition of a parallelogram, so does segment JM is parallel to LK.

For statement 3:

∠JLM ≅ ∠LJK; ∠MJL ≅ ∠KLJ. The reason is because alternate interior angles are congruent. Line JL a transversal for segment JK and segment LM. This transversal creates alternate interior angles ∠JLM and ∠LJK which are equal. By the same token, Line JL a transversal for segment JM and segment LK. This transversal creates alternate interior angles ∠MJL and ∠KLJ which are equal.

For statement 4:

JL ≅ JL. The reason is symmetric property. Segment JL ≅ segment JL.

For statement 5:

△JLM ≅ △LJK. The reason is AAS triangle congruence criterion. By AAS, triangle JLM ≅ triangle LJK. Therefore, segment JK ≅ segment LLM and segment JM ≅ LK because corresponding parts of congruent triangles are also congruent.

Learn more parallelogram at: https://brainly.com/question/29147156

#SPJ4

Although part of your question is missing, you might be referring to this full question: Victor claims that the opposite sides of the parallelogram are congruent. He writes the two-column proof below (attached) to justify his claim. Several of the reasons in the proof are left blank. Fill all the correct descriptions of the missing reasons that justify Victor’s claim.

Answer:

7

Step-by-step explanation:

42/6=7

⇒You are expected to solve for x in this point.
I will use the law of exponent that states that

⇒\(x^{n} *x^{m} \\=x^{n+m}\)

\(9^{x+7} =9^{24} \\x+7=24\\x=24-7\\x=17\)

GOODLUCK!!!

Answer:

50

Step-by-step explanation:

33+29= 62

62-20= 42

42+8= 50 students

Using area of regular Polygon, the perimeter of the total grazing area of regular polygon is 100 feet and the cost to place a fence around the entire grazing area is $795.

According to the question,

You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygon.

Within this grazing area, the length of the apothem must be 10 feet long.

The formula of the area of regular polygon = ap/2  

Where a is apothem and p is the perimeter.  

500 = 10 x p/2  

1,000 = 10 x p  

100 = p

Hence the perimeter of regular polygon the total grazing area is 100 feet.  

Now cost of fencing 1 foot = $7.59  

So, cost of fencing 100 feet = 7.59 x 100 = 759

Hence, the cost to place a fence around the entire grazing area of polygon is $795.

Learn more about polygon here

https://brainly.com/question/13310667

#SPJ4

The probability that a randomly selected day from 2013 will have a group trades total within 78,000 of the mean is approximately 0.5.

To calculate this probability, we need to first calculate the mean of the group trades total for 2013. We can do this by adding together the group trades total for all the days in 2013, and then dividing by the total number of days in 2013. Let's call this number M.

Next, we need to calculate the difference between the group trades total of a randomly selected day in 2013 and the mean M. Let's call this number D.

Finally, we can calculate the probability that D is less than or equal to 78,000 by dividing 78,000 by the absolute value of D. This will give us the probability that a randomly selected day from 2013 will have a group trades total within 78,000 of the mean.

You can read more about probability at https://brainly.com/question/24756209

#SPJ11

The maximum volume of the box in terms of A will be √3A/4 -3√3/4 cu cm.

It is given that the box has an open top and a square base.

This implies length = breadth.

Let them be x cm

Now, the area of the box is A sq cm

This means

lb + 2bh + 2lh = A

or, x² + 2xh + 2xh = A

or, 4xh + x² = A

or, h = A/4x - x/4

Now volume (V) = lbh

= x²(A/4x - x/4)

= Ax/4 - x³/4

Now to maximize volume we will first differentiate with respect to x and equate it to zero. Hence we get

V' =0

or, A/4 - 3x²/4 = 0

or 3x²/4 = A/4

or, x² = 3

or, x = √3

Now t check whether this gives us the maximum volume we will calculate V"(√3)

V" = -3x/2

V"(√3) = -3√3/2

Since V"(√3) is negative we will get maximum value for x = √3

Now the volume is

A√3/4 - (√3)³/4

= √3A/4 -3√3/4 cu cm

To know more about maximization visit

https://brainly.com/question/14682292

#SPJ4

Answer: Is the question to find unit price, if it is, the answer is $16.77. Divide 200/12 to get the unit price. Hope this helps and good luck to having a bright future ☀️

Step-by-step explanation:

Answer:-2

Step-by-step explanation:

The rate of change for the interval between -6 and -3 on the x-axis is -2. Therefore, option A is the correct answer.

From the given graph, we have the coordinates (-6, 6) and (-3, 0).

Here, rate of change = (y₂-y₁)/(x₂-x₁)

Now, (0-6)/(-3+6)

= -6/3

= -2

Therefore, option A is the correct answer.

To learn more about the rate of change of a line visit:

https://brainly.com/question/14511992.

#SPJ7

The only correct option from the given graph is Graph X.

A function's derivative can be used to detect whether a function is rising or decreasing on any interval in its domain. If f′(x) > 0 at every point in an interval I, the function is said to increase on I. If f′(x) 0 at every point in an interval I, the function is said to be declining on I.

When we draw tangents to the curve, we can see that if the gradient of the tangent is positive, the function is rising, and if the gradient is negative, the function is dropping.

The given figure  Y is the graphs only increase when x = 0.

Let's look at each graph individually.

When x0, graph W really decreases, therefore it is erroneous.

Because graph X grows when x0 but not when x0, it is a plausible explanation.

Because graph Y drops at x0, it is erroneous.

Graph Z grows when x0, but it also increases when x0, indicating that Graph Z is erroneous.

The only right answer is Graph X.

Learn more about tangents from here;

brainly.com/question/19064965

#SPJ1

221 degree is the direction of B to the nearest degree.

We have to find the vector B. We will substructure Equations

-9i - 8j - 5i - 4j = -14i -12j

                       = 2(-7i-6j)

From here you get the value of vector B. That is minus seven i and minus of six j. Now we can see that this is both. The signs are negative so it should lie in 3rd chord event.

And for third quarter went in their direction or we can say Angelo factor B is want A D. Plus theater. So when I. D. Plus and universal marvelous of -6 divided by -7 that provides us one or d. plus 41 degree. That is 221 degree.

To learn more about degree here:

https://brainly.com/question/364572

#SPJ4

The 14.9% increase in Sylvia's lead lathe tech's hourly wage of $18.50 results in a $2.75 per hour increase. Assuming the lead lathe tech works 2,080 hours per year, the additional cost to Sylvia's annual wages budget would be approximately $5,720, excluding benefits or taxes.

First, we need to find the percentage increase in the lead lathe tech's hourly wage. The increase requested is $2.75, which is 14.9% of the current wage rate ($18.50). To calculate the percentage increase, we divide the increase by the current wage rate and multiply by 100: ($2.75 / $18.50) * 100 ≈ 14.9%.

To determine the additional cost to Sylvia's annual wages budget, we need to know the total number of hours worked by the lead lathe tech in a year. Let's assume the lead lathe tech works 40 hours per week and there are 52 weeks in a year, resulting in a total of 2,080 hours.

To calculate the annual cost of the wage increase, we multiply the hourly increase ($2.75) by the total number of hours worked (2,080): $2.75 * 2,080 ≈ $5,720.

Therefore, the 14.9% increase in the lead lathe tech's hourly wage will cost Sylvia an additional $5,720 in her annual wages budget, excluding benefits or taxes.

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ11

Given that 90% of the population is right-handed, 9% is left-handed, and 1% is mixed-handed, we can determine the probability of different hand preferences for a randomly selected individual.

Let's denote the probabilities as follows: P(R) for right-handed, P(L) for left-handed, and P(M) for mixed-handed.

From the information given, we know that P(R) = 0.90, P(L) = 0.09, and P(M) = 0.01.

To find the probability of a randomly selected individual being left-handed or mixed-handed, we can simply add the corresponding probabilities:

P(L or M) = P(L) + P(M) = 0.09 + 0.01 = 0.10

Therefore, the probability of a randomly selected individual being left-handed or mixed-handed is 0.10, or 10%.

P(R) = 1 - P(L or M) = 1 - 0.10 = 0.90

Hence, the probability of a randomly selected individual being right-handed is 0.90, or 90%.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The Accounting Rate of Return (ARR) for the new expansion project is 44.95%. The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment.

The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment. ARR is calculated by dividing the average accounting profit (before tax and interest) by the average investment. It is also known as the average rate of return, which is the average net income of the investment over its life, divided by the amount of the initial investment. In other words, ARR is the profit per year, divided by the initial investment, expressed as a percentage. It helps businesses to identify the potential return of their investment and make better decisions about whether to pursue a project or not.

In the given question, Transload Pty Ltd, a haulage company, has tasked you with analyzing and evaluating a new expansion project’s profitability. To calculate the Accounting Rate of Return, the first step is to calculate the average accounting profit of the project. The average accounting profit is the sum of the cash inflows over the life of the project, minus the depreciation expense, divided by the life of the project. In this case, the life of the project is seven years. Using the figures given in the question, we can calculate the average accounting profit:

Year 1: R1 150 000

Year 2: R1 270 000

Year 3: R1 300 000

Year 4: R1 210 000

Year 5: R1 320 000

Year 6: R1 325 000

Year 7: R1 325 000

Total cash inflows over the life of the project = R9 900 000

Average accounting profit = (R9 900 000 - R857 142*) / 7

= R1 348 661*Depreciation:

R6 000 000 / 7 years = R857 142

The next step is to calculate the average investment for the project. In this case, the average investment is the initial investment minus the scrap value, divided by two. The scrap value is assumed to be zero in this case because it was not provided in the question.

Average investment = (R6 000 000 - 0) / 2= R3 000 000

Finally, the Accounting Rate of Return (ARR) can be calculated by dividing the average accounting profit by the average investment, expressed as a percentage:

ARR = (R1 348 661 / R3 000 000) x 100%

ARR = 44.95%

Therefore, the Accounting Rate of Return (ARR) for the new expansion project is 44.95%.

To know more about Accounting Rate of Return visit: https://brainly.com/question/31851841

#SPJ11

Answer:

4*5 1/2,. 2/10.

Step-by-step explanation:

l think it's the answer

Answer:

I think

4*5 1/2

is correct

You need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

To determine the score you need on exam 2 to perform as well as you did on exam 1, given the mean and standard deviation for exam 2 and the scores for exam 1, you can use the formula for z-scores.

The formula is :z = (X - μ) / σ,

where X is the score you received on exam 1, μ is the mean score for exam 1, and σ is the standard deviation for exam 1.

To find the score you need on exam 2, you can rearrange the formula as follows: X = z * σ + μ, where z is the z-score you calculated for your score on exam 1.

To calculate the z-score for your score on exam 1, you can use the formula: z = (X - μ) / σ = (87 - 79) / 4 = 2.T

o find the score you need on exam 2 to perform as well as you did on exam 1, you can substitute the values you have into the formula:

X = z * σ + μ = 2 * 6 + 60 = 72.

So, you need a score of 72 out of 100 on exam 2 to perform as well as you did on exam 1.

Know more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11

Answer: it is 29.36

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

If a = 4, the exponent will be \(3^{4}\).

\(3^{4}\) represents 3 being multiplied by itself 4 times.

\(3^{4}\) = 3·3·3·3

\(3^{4}\)=9·3·3

\(3^{4}\)=27·3

\(3^{4}\)=81

Your product is 81.

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

For more such questions on element visit:

https://brainly.com/question/25916838

#SPJ8

The velocity of the cart b is found as 20/23 ft/s over the pulley.

For the given data in the question.

q's velocity is 2 feet per second.

Rope length is 39 feet.

Assume x is the distance between A and Q. (refer the image).

Assume y is the distance between Q and B. (refer the image).

As a result of the image,

x² + 12² = L²

Now, with respect to time t, differentiate the above equation.

2x(dx/dt) + 0 = 2L.(dL/dt)

For x = 5 ft and L = 13 ft

dL/dt = (5×2)/13 = 10/13

In the case of B,

y² + 12² = (39 - L)² ; from diagram.

Differentiating now,

2y(dy/dt) + 0 = -2(39 - L).(dL/dt)

At x = 5 ft and y = 23 ft.

dy/dy = -20/23

(A negative sign indicates the opposite direction)

Thus, the velocity of cart b is found as 20/23 ft/s.

To know more about the rate of change, here

https://brainly.com/question/13122658

#SPJ9

Answer:

t = 7.2

Step-by-step explanation:

The lengths of the corresponding sides of similar polygons are proportional.

12/9.6 = 9/t

12t = 9 × 9.6

4t = 3 × 9.6

t = 3 × 2.4

t = 7.2

Answer:

\(y=\frac{3}{7} x-\frac{9}{7}\)

Step-by-step explanation:

To find the equation of a line in slope-intercept form, we need to first find the slope of the line. To do this, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, we have the points (–7, –3) and (–14, –6), so our formula becomes:

slope = (-6 - (-3)) / (-14 - (-7)) = -3 / -7 = 3/7

We can now use the point-slope formula to find the equation of the line:

y - y1 = m * (x - x1)

where m is the slope and (x1, y1) is a point on the line. In this case, we have m = 3/7 and (x1, y1) = (-7, -3), so our equation becomes:

y - (-3) = (3/7) * (x - (-7))

We can now rearrange this equation to put it into slope-intercept form:

y = (3/7) * x + (3 * (-7) / 7) = (3/7) * x - 9/7

Therefore, the equation of the line in slope-intercept form is y = (3/7) * x - 9/7.

Answer: Yes, it does.

Step-by-step explanation: Let x represent the price of gas today. 200% of x=200/100*x, which can be written as 2x because 200/100=2. 2x is x doubled, and therefore, it does mean the price has doubled.

Answer:

yes, the price has doubled

Answer:

1,960,000 square feet

Step-by-step explanation:

First let's round 679 to the nearest hundred. To do this we look at the 10s digit. If it is 5 or greater, we round up to 700 (because it is past halfway between 600 and 700), and is not we round down back to 600.

The 10s digit of 679 is 7, which is greater than 5. Therefore 679 rounded to the nearest hundred is 700.

Now let's look at 2828. The 10s digit here is 2, which is smaller than 5, therefore we round back down to 2800, which is closer than 2900.

Now we have 700 and 2800. To find the area, (assuming the yard is a rectangle) we multiply the length by the width together (these two values). 700x2800 = 1,960,000 square feet.

Hope this helped!

Answer:

D.

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

180-100 (40+60) =80

80+35= 115

180-115=65

Answer:

D. g(x) = -\(x^{2}\)-2

Step-by-step explanation:

The graph appears to have no stretch or shrink so the leading coefficient is either 1 or -1. We can find out that it is -1 because it is a reflection in the x-axis. The change in the y-axis is a shift downwards by -2 so you add that to the end of you equation to get g(x)=-\(x^{2}\)-2

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

Learn more about range here: https://brainly.com/question/30339388

#SPJ11