The sugar company will chose from two companies to transport it’s sugar to market. the first company charges $5143 to rent trucks plus an additional fee of $200.75 for each ton of sugar. the second company charges $5500 to rent plus an additional fee of $175.25 for each ton of sugara. for what amount of sugar do the two companies charge the same?b. what is the cost when the two companies charge the same?

Answer:

The median is 46

Step-by-step explanation:

To find the median, you must first order the numbers, from left to right, lowest to highest:

24, 27, 29, 38, 54, 61, 68, 74

Next, we have to find the number in the middle. We can do this by counting inwards one and crossing out each of the lowest and highest each time we get closer to the middle/center.

24, 27, 29, 38, 54, 61, 68, 74

   ,  27, 29, 38, 54, 61, 68,    

   ,      , 29, 38, 54, 61,      ,    

   ,      ,      , 38, 54,     ,      ,    

Now, if there is no exact middle, we would add them add divide by 2. If there was an exact middle, that would be the answer. But there isn't.

38 + 54 = 92

92 / 2 = 46

The median is 46

Since there are a adults and c children

Since there are 187 tickets sold

Then the number of adults and children is 187

Add a and c, then equate the sum by 187

Since the price of each adult's ticket is $25

Since the price of each child ticket is $13

Since the total revenue is $3223

Then multiply a by 25, c by 13, then add the products and equate the sum by $3223

Now, we have a system of equations to solve it

Multiply equation (1) by -13 to make c equal in values and opposite in signs to eliminate it

Add equations (2) and (3)

Divide both sides by 12

Substitute a by 66 in equation (1) to find c

Subtract 66 from both sides

The answers are:

a) The system of equations is

b) There were 66 adult tickets sold

c) There were 121 children's tickets sold

Answer:

$0.33

Step-by-step explanation:

5.11-3.79=1.32 1.32/4

Hope this helps :)

Answer:

each postcard cost .33 or 33 cent

Step-by-step explanation:

5.11(total cost)-3.79(greeting card)= 1.32

1.32(cost of all postcards)/4= .33

Answer: 3,385.00

Step-by-step explanation: To find the number of student tickets sold, we need to first figure out the total number of tickets sold at the football game. We can do this by dividing the total amount of money collected by the cost of each ticket. In this case, we have:

Total number of tickets = 8,816.00 / (5.00 + 8.00)

                      = 8,816.00 / 13.00

                      = 677.5

Since the total number of tickets sold must be an integer, we can round this number down to 677. This means that 677 student tickets were sold at the football game.

We can verify this answer by calculating the total amount of money collected from the student tickets and checking that it is equal to the total amount collected at the game:

Total amount collected from student tickets = 677 * 5.00

                                          = 3,385.00

Since the total amount collected from the student tickets is less than the total amount collected at the game, we know that this is the correct answer.

Perimeter of the plot of land = 1,920 m.

Perimeter = sum of all the sides of the triangular plot of land.

We only know two of the sides, therefore, we would find the third side length by applying the Law of Cosines, which is:

\(c^2 = a^2 + b^2 - 2ab \times Cos $ C\)

Where,

\(c = $ third $ side $ = ?\\a = 345\\b = 780\\C = 79.8\)

Substitute the values into the formula:

\(c^2 = 345^2 + 780^2 - 2(345)(780) \times Cos $ 79.8\\c^2 = 727,425- 538,200 \times 0.1771\\c^2 = 632,109.78\\c = \sqrt{632,109.78} \\\c = 795.1\)

The third side is 795.1 m long.

Therefore:

Perimeter = \(345 + 780 + 795 = 1,920$ m\)

The perimeter of the plot of land is 1,920 m.

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Answer:

7

Step-by-step explanation:

Answer:

  2 m

Step-by-step explanation:

You want the height of the triangular base of a triangular prism that has a volume of 12.6 m³. The base of the triangle is 2.8 m, and the height of the prism is 4.5 m.

The volume formula for the triangular prism is ...

  V = Bh . . . . the product of the triangle area and the base–base distance

  12.6 = B·4.5

  2.8 = B . . . . . . . area of the triangular base

The area of the triangular base is given by ...

  A = 1/2bh

The area is shown above to be 2.8 m², and the base of the triangle is given as 2.8 m, so we have ...

  2.8 = 1/2(2.8)h

  2 = h . . . . . . . . . . . . divide by 1.4, the coefficient of h

The center height of the tent is 2 meters.

__

Additional comment

If you combine the formulas, you see that a triangular prism has half the volume of a rectangular prism with the same overall dimensions.

  V = 1/2LWH

  12.6 = 1/2(4.5)(2.8)h = 6.3h

  2 = h . . . . meters

Answer:

x=-2

Step-by-step explanation:

First step, add 4 to both sides because +4 cancels out -4

x-(-4)=-6

   +4   +4      Well I guess the first step was also the last step.. XD

x=-2

Answer:

5.5, 5¼, 5 1/5 and 5.1.

Explanation:

To list the height from greatest to least, we convert each of them to a decimal.

Therefore, the weights are: 5.1, 5.2, 5.5 and 5.25

Arranging them from greatest to least gives:

5.5, 5.25, 5.2 and 5.1 which is equivalent to: 5.5, 5¼, 5 1/5 and 5.1.

Answer:

\(\boxed { x = \frac{3}{5}}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(7x + 6 = 17x\)

-Take \(17x\) and subtract it from \(7x\):

\(7x + 6 - 17x = 17x - 17x\)

\(-10x + 6 = 0\)

-Subtract \(6\) to both sides:

\(-10x + 6 - 6 = 0 - 6\)

\(-10x = -6\)

-Divide both sides by \(-10\):

\(\frac{-10x}{-10} = \frac{-6}{-10}\)

\(\boxed { x = \frac{3}{5}}\)

So, the value of \(x\) is \(\frac{3}{5}\)

Answer:

coooooooooooooooool

Step-by-step explanation:

The probability of getting a 7 is 1/13 and a black card is 1/2.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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The probability of getting a 7  \(\frac{1}{13}\) and a black card is \(\frac{1}{2}\).

What is a Probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The length of the arc s is 6.283 inches.

The length of an arc is given by the formula,

\(\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}\)

where

θ is the angle, which arc creates at the center of the circle in degrees.

Radius, r = 8 in.

Angle, θ = 45°,

\(\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}\)

\(\rm{ Length\ of\ the\ Arc\ s = 2\times \pi \times(8)\times\dfrac{45}{360}\)

\(\rm{ Length\ of\ the\ Arc\ s =6.283\ inches.\)

Hence, the length of the arc s is 6.283 inches.

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The approximate length of arc s on the given circle is; 6.28inches

The length of an arc is given by the formula;

Therefore,

Length, L = (45/360) × 2 × 3.14 × 8

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Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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To apply the chi-square test to the data provided and test the hypothesis that the underlying distribution is Poisson.

1. Calculate the mean (λ) of the data:
λ = Σ(xi * Oi) / ΣOi = (6*14 + 7*22 + 8*12 + 9*11 + 10*8 + 11*4 + 12*1) / 72 = 485 / 72 = 6.7361
2. Compute the expected occurrences (Ei) for each number of jams using the Poisson distribution formula:
Ei = (e^(-λ) * (λ^xi)) / xi! * ΣOi
3. Compute the chi-square statistic (χ²):
χ² = Σ[((Oi - Ei)²) / Ei]
4. Compare the observed chi-square value to the critical chi-square value at α = 0.05 to determine if the null hypothesis can be rejected. Calculate the Ei values for each xi using the Poisson distribution formula, and then compute the chi-square statistic. Once you have the observed chi-square value, compare it to the critical chi-square value at α = 0.05 to determine if the hypothesis that the underlying distribution is Poisson can be accepted or rejected.

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If a researcher is interested in testing more than one independent variable within a single experiment, the most appropriate type of design is a factorial design.

A factorial design allows researchers to investigate the main effects of each independent variable and also the interaction effects between them.

In a factorial design, each level of one independent variable is combined with each level of the other independent variable.

Creating a matrix of all possible combinations of the levels of the variables.

For example, if a researcher is interested in investigating the effects of two independent variables, A and B, each with two levels.

Low and high, a 2 x 2 factorial design would be appropriate.

This would involve randomly assigning participants to one of four conditions.

Representing the four possible combinations of the levels of the two independent variables,

low A/low B, low A/high B, high A/low B, and high A/high B.

Using a factorial design enables researchers to examine not only the effects of each independent variable on the dependent variable.

But also any potential interactions between the variables.

This approach can provide more detailed and nuanced insights into the factors that affect the dependent variable.

However, it's important to consider the increased complexity of data analysis and interpretation when using a factorial design.

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Answer:

The total value of the discount was $10.80.

Step-by-step explanation:

Since we are finding the value of the discount, we just need to find 18% of 60.

We can convert 18% into a decimal.

18%=0.18

Multiply.

0.18*60=10.8

The total value of the discount was $10.80.

Answer:

2145 m²

Step-by-step explanation:

The area of one mailbox = the area of a rectangular box - the top of the box plus half the area of a cylinder.

SA = SA(box) - SA(top) + ½SA(cylinder)

1. Surface area of box

The formula for the surface area of a rectangular box is

SA = 2(lw + lh + wh)

Data:  

l =  0.55 m

w = 0.3    m

h =  0.4    m

Calculations:

2(Top + Bottom = 2lw  = 2 × 0.55 × 0.3 = 0.33 m²

  2(Left + Right) = 2wh = 2 × 0.55 × 0.4 = 0.44 m²

2(Front + Back) = 2lh   = 2 × 0.3   × 0.4 =  0.24 m²

                                               Total area =   1.01 m²

2. Surface area of cylinder

The  formula for the surface area of a cylinder is

SA = A(top) + A (base) + A(side)  = 2A(base) + A(side)

Data:

d =  0.3   m

h = 0.55 m

Calculations:

r = ½d  = ½ × 0.3 = 0.15 m

3. Excluded area

        1 top = ½ × 0.33     m² = 0.165    m²

½ cylinder = ½ × 0.6594 m² = 0.3297 m²

                   Total excluded = 0.4947 m²

4. Surface area of 1 mailbox

SA = (1.01 + 0.6594 - 0.4927) m² = 1.1767 m²

5. Total area of 1823 mailboxes

The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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Answer:

is the answer b

Step-by-step explanation:

sorry wrong

Answer: It's A

Step-by-step explanation: Solve the equation for x and you should get 2/3.

Using sampling concepts, the population being studied is all visitors that are flying to the state of Hawaii.

The problem is incomplete, but researching it on a search engine, it asks for us to identify who is the population of this study.

In this problem, a set of visitors traveling to Hawaii were sampled, hence the population being studied is all visitors that are flying to the state of Hawaii.

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x 2, and the second side is expressed by  2x-25 , The value of x is 5.

What is isosceles triangles ?

An isosceles triangle is a triangle with two sides of equal length. These two sides are called the legs and they are congruent. The third side is called the base and it is not necessarily congruent to the legs. The angle opposite to the base is called the vertex angle.

To solve for x, we can start by isolating x on one side of the equation.

We can do this by subtracting x^2 from both sides ,

x^2 - x^2 = 2x-25 - x^2

we get 0 = 2x - 25 - x^2

Now we can add x^2 to both sides ,

x^2 = 2x - 25

Now we can move the -25 to the other side of the equation ,

x^2 - 2x + 25 = 0

Now we can factor the left side of the equation ,

(x-5)(x-5) = 0

Now we can solve for x by setting each factor equal to zero ,

x-5 = 0 , x = 5

x 2, and the second side is expressed by  2x-25 , The value of x is 5.

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The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.

To find the solution, add 2 to the function's x-values and compute the value.

What is a function?

It is described as a particular kind of relationship, and each value in the domain is associated to exactly one value in the range according to the function. They have a predetermined domain and range.

We have:

A function which is at x = 2 mapped to 32

The above statement means that at x = 2

The value of the function will be 32

The given functions:

f(x) = -3x² - 4

Plug x = 2

f(2) = -3(2)² - 4

f(2) = -16

g(x) = 4(x + 3)² - 68

Plug x =2

g(2) = 4(2 + 3)² - 68

g(2) = 100 - 68

g(2) = 32

Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.

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When firing a handgun , you should hold the handgun (d) at arm's length , from the body .

When firing a handgun, it is recommended to hold it at arm's length, from your body. This allows for proper control and aim of the firearm, as well as providing a buffer between you and the potential dangers of the discharge.

Holding the handgun too close to your body can also interfere with accuracy and control, as your arms may obstruct the movement of the gun. It's important to follow manufacturer guidelines and seek proper training and follow all safety procedures when handling handgun to ensure responsible and safe use.

The given question is incomplete , the complete question is

When firing a handgun, how far should you hold it from your body?

(a) 9 inches

(b) one foot

(c) eighteen inches  

(d) at arm's length

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Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

D

Step-by-step explanation:

Answer:

72 in

Step-by-step explanation:

a square has 4 sides so you divide 288 by 4 and get 72

Answer:

(-2, 10]

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

11 - (-11) = positive 22

and the range is the highest number subtracted by the lowest number

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

The ratio of students who wish they had x-ray vision to all students: 2:9

The ratio of students who wish for flight to all students: 3:1

The ratio of students who wish for flight to those who wish for invisibility: 6:1

1. The ratio of students who wish they had x-ray vision to all students: 2:9

This means that out of a group of students, there are 2 students who wish they had x-ray vision for every 9 students in total.

2. The ratio of students who wish for flight to all students: 2:3

This ratio indicates that out of a group of students, there are 2 students who wish for the ability to fly for every 3 students in total.

3. The ratio of students who wish for flight to those who wish for invisibility: 1:6

This ratio compares the number of students who wish for flight to the number of students who wish for invisibility. It states that for every student who wishes for flight, there are 6 students who wish for invisibility.

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Answer:

tip is $6

Step-by-step explanation:

multiply 40 by 0.15 so 6