4x + 3y - z = -6
6x - y + 3z = 12
8x + 2y + 4z = 6

Answers

Answer 1

Answer:

  (x, y, z) = (1, -3, 1)

Step-by-step explanation:

Any number of calculators and/or web sites can be used to solve this system of equations. It can be helpful to familiarize yourself with your graphing calculator's capabilities in this area. The solution from one such site is shown below:

  (x, y, z) = (1, -3, 1)

__

Both y and z show up in these equations with coefficients that have a magnitude of 1. This means you can easily use one of those equations to create a substitution for y or for z.

Using the first equation to write an expression for z, we have ...

  z = 4x +3y +6

Substituting that into the second and third equations gives ...

  6x -y +3(4x +3y +6) = 12   ⇒   18x +8y = -6

  8x +2y +4(4x +3y +6) = 6   ⇒  24x +14y = -18

Now, we can subtract 4 times the first equation from 3 times the second to eliminate x:

  3(24x +14y) -4(18x +8y) = 3(-18) -4(-6)

  10y = -30

  y = -3

Substituting into the first equation (of the equations in x and y), we have ...

  18x +8(-3) = -6

  18x = 18

  x = 1

Finally, substituting into the equation for z gives ...

  z = 4(1) +3(-3) +6 = 1

The solution is (x, y, z) = (1, -3, 1).

___

The equations can also be solved using Cramer's rule, elimination, matrix methods, and other means. When solving by hand, the method of choice will often depend on what you're familiar with and what the coefficients are.

4x + 3y - Z = -66x - Y + 3z = 128x + 2y + 4z = 6

Related Questions

The best interpretation of the coefficient of Q2 (-0.054) in the regression equation is:_________.
a) the revenues in the second quarter of a year is approximately 5.4% lower than the average over all 4 quarters.
b) the revenues in the second quarter of a year is approximately 5.4% lower than it would be during the fourth quarter.
c) the revenues in the second quarter of a year is approximately 11.69% lower than it would be during the fourth quarter.
d) the revenues in the second quarter of a year is approximately 11.69% lower than the average over all 4 quarters.

Answers

Answer:

The correct answer is (b) the revenues in the second quarter of a year is approximately 5.4% lower than it would be during the fourth quarter

Explanation:

Solution:

Given that

Log₁₀  Y = 6.012 + 0.012 X - 0.129 Q₁

= -0.054 Q₂ + 0.098 Q₃

Now,

Given that X =0

We substitute for Q₁ = 1

Thus,

Y = 6.012 + 0.012 (0) - 0.129 (1)

=  -0.054 (0) + 0.098 (0)

= 6.012 - 0.129

=5.973

So

Q₂ = 1

Y = 6.102 - 0.054 (1) + 0.012 (0)

= - 0.129 (0) + 0.098 (0)

= 6.012 - 0.054

= 6.048

For Q₃=1

Y = 6.012 + 0.012 (0) - 0.129 (0)

= -0.054 (0) + 0.098 (1)

= 6.102 + 0.098

=6.2

From the given question, the option b is correct.

Note: Kindly find an attached copy of the complete question below.

The problem has been started for you. 8 StartLongDivisionSymbol 468 EndLongDivisionSymbol minus 40 = 68. 68 minus 64 to get a remainder of 4 and a quotient of 58. What is the quotient? A. 58 B. 58.5 C. 58.ModifyingAbove 5 with bar D. 59

Answers

Division is one of the four fundamental arithmetic operations. The quotient for this division is 58.5.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given the problem is been started, therefore, the division is done as 468÷8. Hence, the quotient for this division is 58.5.

Learn more about Division:

https://brainly.com/question/369266

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Answer:

58.5

Step-by-step explanation:

this is my question yeyeyeyeyeyeyyeyyeyeyeyeeyye

Answers

Answer:

yeyeyeyeyeyeyeyeyeye

What is Surface Area?
A>The total space inside a figure.
B>The sum of all the area's of the faces on a figure.

Answers

Answer:

B

Step-by-step explanation:

Option A is volume, which is the total space inside a object

Option B refers to the sum of area of planes on the exterior of an object only.

Refer to picture attached for a clearer visual.

Correct answer is B the sun of all the areas of the faces on a figure

The chef at a school cafeteria asked 100 male and 100 female students
whether they like peas. 42 of the males said they like peas. 64 of the females
said they dislike peas. Which two-way table correctly shows these results?

Answers

Answer:

A

Step-by-step explanation:

The best way to do is this by cancellation.  Cancel out the answers that are incorrect.

D is incorrect.  There are 100 male students and 100 female students.  This table shows that there 94 male students and 106 female students.

C and B are both incorrect because they say that there are 42 male students that dislike peas.  Really, there are 42 male students that like peas.

This leaves you with letter A.  The table matches the data given, so this is the answer.

The table shows the result of the statement given below.

Given that, the chef at a school cafeteria asked 100 male and 100 female students whether they like peas.

42 of the males said they like peas. 64 of the females said they dislike peas.

The number of males who like peas=42 and the number of males who dislikes peas=58.

The number of females who like peas=36 and the number of females who dislikes peas=64.

The table shows the result of the statement given below.

To learn more about the data table visit:

https://brainly.com/question/17084863.

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Help me !!! Which point in this body of water is most ikely to be in the photic zone
O A. Point A
B. Point
C. Pointe
D. Point
SUBMIT

Answers

Answer:

A

A has sufficient sunlight, it's also close to some vegetation, it's the perfect place.

Answer:

It is Point B not Point A

Step-by-step explanation:

i have done the test a little bit ago.

The Grand canyon national park has a new parking lot.the perimeter is 84feet the shape of the parking lot is a square what is the length of each sides

Answers

Answer:

21 feet

Step-by-step Explanation:

Given that the new parking lot of the Grand Canyon National park has a square shape, which means all the lengths of the 4 sides of the parking lot are equal and the same, the perimeter of the parking lot = 4(L) = 84feet.

L = length of 1 side of the parking lot; perimeter = 84feet,

Therefore, solving for L (length of each side) would be:

84 = 4(L)

84/4 = L

L = 21ft

The length of each sides are all equal and each would be 21 feet long.

A clean air standard requires that vehicle exhaust emissions not exceed specified limits for various pollutants. Many states require that cars be tested annually to be sure they meet these standards. Suppose state regulators double-check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop's license if they find significant evidence that the shop is certifying vehicles that do not meet standards.
a. In this context, what is a Type I error?
b. In this context, what is a Type II error?
c. Which type of error would the shop's owner consider more serious? d. Which type of error might environmentalists consider more serious?

Answers

Answer:

Step-by-step explanation:

The null hypothesis in this case is: There is significant evidence that the shop is certifying vehicles that do not meet standards so their license gets revoked

a. A type I error in this context occurs if the null is rejected when in actuality, it is true. This means, the shop is certifying vehicles that do not meet standards but their license does not get revoked

b. A type II error in this context occurs if they fail to reject the null when in actuality, it is no true. This means, the shop is not certifying vehicles that do not meet standards but their license does get revoked.

c. Which type of error would the shop's owner consider more serious?

The type II error because it affects the shop owner despite their credibiity

d. Which type of error might environmentalists consider more serious?

The type I error.

16.

A soccer team has 11 players on the field at the end of a scoreless game. According to league

coach must select 5 of the players and designate an order in which they will take penalty

game. According to league rules, the

(a) Is this a permutation or a combination? Why?

(b) How many different ways are there for the coach to do this?

Answers

Answer:

a) Permutation, because the coach has to designate an order in which they will take penalty

b) There are 55,440 different ways for the coach to do this.

Step-by-step explanation:

It the order is not important, we have a combination.

If the order is important, we have a permutation.

In this question:

5 players from a set of 11 and designate an order.

This means that the order is important, and we have a permutation.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

(a) Is this a permutation or a combination? Why?

Permutation, because the coach has to designate an order in which they will take penalty

(b) How many different ways are there for the coach to do this?

[tex]P_{(11,5)} = \frac{11!}{(11-5)!} = 55440[/tex]

There are 55,440 different ways for the coach to do this.

Answer:

B

Step-by-step explanation:

A 10-sided fair die, a 20-sided fair die, and a 12-sided fair dice are rolled. What is the probability of all three happening: Showing 8 on the first die Showing either 19 or 20 on the second die Showing an odd number on the third die

Answers

Answer:

0.5%

Step-by-step explanation:

The number of faces of each die what it indicates is the total number of events.

On the first die, it has 10 sides and an 8 must come out, that is, 1 event out of 10 possible, therefore the probability is:

1/10

On the second die, which has 20 sides, 19 or 20 can come out, that is 2 events out of 20 possible, so the probability is:

2/20

And on the third die, which is 12 sides, they tell us that an odd number can come out, the odd numbers would be 1, 3, 5, 7, 9, 11; that is, 6 events out of 12 possible, the probability would be:

6/12

Now the final probability would be the product of all:

(1/10) * (2/20) * (6/12) = 0.005

In other words, the probability of this happening is 0.5%

Which rule describes the translation

Answers

Answer:

[tex]T_{3}, _{-2} (x,y)[/tex]

Answer:

T3, –2(x, y)

Step-by-step explanation:

I took the test lol

The price of a dress is reduced by 5​0%. When the dress still does not​ sell, it is reduced by 5​0% of the reduced price. If the price of the dress after both reductions is ​$100​, what was the original​ price?

Answers

Answer:

the answer is 400$

Step-by-step explanation:

The area of a hall is 806 sq. ft. Its length is 5 ft greater than its width. Find the dimensions of the hall. Enter the results in the answer box. Show work that leads to the final answer and clearly state the final answer.

Answers

Answer:

width is = 26ft

length is = 31ft

Step-by-step explanation:

The area of hall is 806 sq. ft.

length is 5 ft greater than its width.

L = 5+b

L*b = 806

(5+b)*b= 806

5b +b² = 806

B²+5B-806= 0

Solving quadratically

B² +31B -26B -806= 0

B(B+31)-26(B+31)= 0

(B-26)(B+31)= 0

B= 26 or -31

So the value of the width must be positive so the width is = 26ft

If width is 26, length is 26+5 = 31ft

What’s the correct answer for this?

Answers

Answer:

MN = 48

Step-by-step explanation:

Since AB is a diameter , so it divides MN into 2 equal parts i.e. MO = NO

7x-4 = 6x

7x-6x = 4

x = 4

Now

MN = MO + NO

MN = 7x-4+6x

MN = 7(4)-4+6(4)

MN = 28-4+24

MN = 48

Answer:

48

Step-by-step explanation:

Since AB is a diameter, MO = NO

7x - 4 = 6x

7x - 6x = 4

= 4

MN = MO + NO

= 7x - 4 + 6x

= 7  * 4 - 4 + (6 * 4)

= 28 - 4 + 24

= 48

Hope this helps!

Question 5
Provide an appropriate response.
For the stem-and-leaf plot below, what are the maximum and minimum entries?
Stem
ES
1
ions
2
Leaf
77889
011234456677788999
01123445566 678 899
58
3
4
om
max: 47 min: 18
max:45min 17
35
max 38min: 7
max 48. min 17

Answers

Answer:

  max 48, min 17

Step-by-step explanation:

Apparently, your plot is supposed to be ...

  1 | 77889

  2 | 011234456677788999

  3 | 01123445566678899

  4 | 58

The smallest stem is 1, and its smallest leaf is 7, representing a value of 17.

The largest stem is 4, and its largest leaf is 8, representing a value of 48.

The extremes represented by this plot are: max 48, min 17.

Can someone help me with these problems S and T

Answers

Answer:

S) 230°

T) 45°

Step-by-step explanation:

S) m∠RST = 30°.  An inscribed angle is half the central angle, so RT = 60°.

SR = 70°, so ST = SR + RT = 60° + 70° = 130°.

SPT = 360° − ST = 360° − 130° = 230°

T) m∠DCA = 60°.  An inscribed angle is half the central angle, so AD = 120°.

DB = AD − BA = 120° − 75° = 45°

please help asap! will mark as brainliest! and please no guessing! thank you :)

A circle has a circumference of q and an area of p. Define p in terms of q. Which one is the correct answer?
a. 4q^2π
b. q/2π
c.q^2/π
d. q^2/4π

Answers

Answer:

  d.  q^2/(4π)

Step-by-step explanation:

The circumference in terms of r is ...

  q = 2πr

So, the radius in terms of q is ...

  r = q/(2π)

The area in terms of radius is ...

  p = πr^2

so, in terms of q, it is ...

  p = π(q/(2π))^2 = (π/π^2)(q^2/4)

  p = q^2/(4π)

_____

Comment on answer

It is unfortunate that your answer choice doesn't have parentheses on the denominator. They are required by the Order of Operations. As written, none of the choices is correct, as the last one must be interpreted as ...

  (q^2/4)π

which is quite different from the correct answer of q^2/(4π).

What is 5 4/5 - 2 2/3 as a fraction? If needed please write as a mixed number

Answers

Answer:

2 4/5

Step-by-step explanation:

5 4/5 - 2 3/3=2 4/5

Answer:

47/15 or 3 2/15

Step-by-step explanation:

first put it into improper fraction

so 29/5 minus 8/3

then find the least common denominator which is 15

87/15 minus 40/15 which is 47/15

simplify it

It is known that the highest weekly average price for gasoline in California during 2005 was $3.15 per gallon and the lowest weekly average price for gasoline in California during 2005 was $2.56. Use this information to estimate the standard deviation of the weekly average price for gasoline in California during 2005. The standard deviation is ($3.15-2.56) / 6. I was wondering why you divide by 6?

Answers

Answer:

$0.15

Step-by-step explanation:

To solve this problem, we apply the Range rule for estimating Standard deviation.

By the Range Rule:

Standard Deviation

Highest weekly average price for gasoline= $3.15 per gallon.

Lowest weekly average price for gasoline =$2.56 per gallon.

Therefore:

[tex]\text{Standard Deviation}\approx \dfrac{3.15-2.56}{4} \\=\dfrac{0.59}{4} \\\\=\$0.15 $(correct to the nearest cent).[/tex]

The standard deviation of the weekly average price for gasoline is approximately $0.15.

NOTE: You divide by 4 not 6.

Types of bonds are divided into three categories: good risk, medium risk, and poor risk. Assume that of a total of 11, 332 bonds, 7,311 are good risk, 1,182 are medium risk, and the rest are poor risk. One bond is chosen at random. What is the probability that the bond is not a poor ? Write only a number as your answer. Round to two decimal places (for example : 0.43). Do not write as a percentage .

Answers

Answer:

Probabilty of not poor= 0.75

Step-by-step explanation:

total of 11332 bonds.

7311 are good risk.

1182 are medium risk.

Poor risk

= total risk-(good risk+ medium risk)

= 11332-(7311+1182)

= 11332-8493

= 2839.

Poor risk = 2839

Probabilty that the ball choosen at random is not poor= 1 - probability that the ball is poor

Probability of poor = 2839/11332

Probabilty of poor= 0.2505

Probabilty that the ball choosen at random is not poor= 1- 0.2505

= 0.7495

To two decimal place= 0.75

Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points E and D to point F to form chords E F and D F. Arc E D is 68 degrees. The measure of arc ED is 68°. What is the measure of angle EFD? 34° 68° 112° 132°

Answers

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = [tex]\frac{1}{2}(m\angle ECD)[/tex] [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = [tex]\frac{1}{2}(68)[/tex]

                               = 34°

Therefore, Option (1) 34° will be the answer.

Answer:

34 (100% Correct)

Step-by-step explanation:

The health insurance company that insured Peter pays 80% of nutritional counseling after Peter pays a $50 deductible the cost of the counseling was $1,060

Answers

Answer:

Peter will pay:

$50 deductible20% x ($1,060 - $50) = $202total $252

the insurance company will pay:

(total counseling cost - deductible) x 80% = ($1,060 - $50) x 80% = $808

The deductible refers to the amount of money an insured has to pay before the health insurance company starts to pay partially or completely for your health treatment. deductibles are commonly used for other types of insurance policies also, including auto insurance.

Answer:

$252

Step-by-step explanation:

edge 2022

A local hamburger shop sold a combination total of 565 hamburgers and cheeseburgers on Monday there were 65 more cheeseburgers sold than hamburgers how many hamburgers were sold on Monday

Answers

Answer:

250

Step-by-step explanation:

I have an easy way of doing this that works for me. Since there are 65 more cheeseburgers, you can subtract 65 from the total number, which leaves you with 500. Then, you just divide that number by 2 and your quotient (250) is the number of hamburgers.

Answer:

250 hamburgers and 315 cheeseburgers

Step-by-step explanation:

565-65=500

then u divide 500 by 2 which =250 hamburgers sold then you add 65 to get the cheeseburgers

What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)

Answers

Answer:

The solution of the equation

( 0.4 ,-3)

Step-by-step explanation:

Explanation:-

Step(i):-

Given system of equations

                                  10 x+3 y = −5 ...(i)

                                 - 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

          10 × 5 x +  3×5 y = - 25  

              50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

        -5 × 10 x - 4×1 0 y = 100

       - 50 x - 40 y =100 ...(iv)

Step(ii):-

Solving (iii) and (iv)

        50 x + 15 y =- 25

       - 50 x - 40 y =100

                - 25 y = 75

Dividing ' - 25' on both sides, we get

                   y = -3

substitute y = -3 in equation (i) , we get

             10 x+3 y = −5

             10 x - 9 = - 5

                10 x = -5 + 9

                    [tex]x = \frac{4}{10}[/tex]

                   x =  0.4  

Final answer:-

 The solution of the equation   ( 0.4 ,-3)

           

1 describe how the figures are alike 2Describe how the figures are different.

Answers

Answer:

they are all polyhedrons and 3 dimensional shapes but they all have different volumes and surface areas

Solve the equation.
43.6 = n + 17.5

Answers

Answer:

26.1 = n

Step-by-step explanation:

43.6 = n + 17.5

Subtract 17.5 from each side

43.6-17.5 = n + 17.5-17.5

26.1 = n

Answer:

[tex]n = 26.1[/tex]

Step-by-step explanation:

[tex]43.6 = n + 17.5 \\ 43.6 - 17.5 = n \\n = 26.1 \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

given f(x) =x^2 -10x+22 what is the domain of f

Answers

Answer:

[tex] f(x) = x^2 -10x +22[/tex]

And we want to find the domain. And that represent the possible values for x. Since we have a quadratic function we have that the domain would be all the reals, and we can write:

[tex] D= [x \in R][/tex]

Where D represent the domain and R the set of the real numbers.

Step-by-step explanation:

For this case we have the following function:

[tex] f(x) = x^2 -10x +22[/tex]

And we want to find the domain. And that represent the possible values for x. Since we have a quadratic function we have that the domain would be all the reals, and we can write:

[tex] D= [x \in R][/tex]

Where D represent the domain and R the set of the real numbers.

Answer:

d

Step-by-step explanation:

i just got it right.:)

A customer at a bakery paid $78.30 for donuts and cupcakes. Each donut cost $1.95 and each cupcake cost $2.85. If they bought a total of 30 donuts and cupcakes, how many donuts did they buy?​

Answers

Answer:

[tex] x+y = 30[/tex]   (1)

[tex] 1.95x+ 2.85y = 78.30[/tex]   (2)

From equation (1) we can solve for x and we got:

[tex] x = 30-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.95(30-y) +2.85 y = 78.30[/tex]

And solving for y we got:

[tex] 58.5 -1.95 y +2.85 y = 78.30[/tex]

[tex] 0.9 y = 19.8[/tex]

[tex] y = 22[/tex]

And then solving for x we got:

[tex] x = 30-22 = 8[/tex]

So then we have 8 donuts and 22 cupcakes

Step-by-step explanation:

Let x the number of donuts and y the number of cupcakes, from the info given we can set up the following equations:

[tex] x+y = 30[/tex]   (1)

[tex] 1.95x+ 2.85y = 78.30[/tex]   (2)

From equation (1) we can solve for x and we got:

[tex] x = 30-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.95(30-y) +2.85 y = 78.30[/tex]

And solving for y we got:

[tex] 58.5 -1.95 y +2.85 y = 78.30[/tex]

[tex] 0.9 y = 19.8[/tex]

[tex] y = 22[/tex]

And then solving for x we got:

[tex] x = 30-22 = 8[/tex]

So then we have 8 donuts and 22 cupcakes

Suppose that in a certain sinkhole the ground dropped 76.8 ft in 24 hour. Find the unit rate representing the change in altitude per hour

Answers

Answer:i dont know

Step-by-step explanation:

Using π = 3.14, find the area of a circle with a radius of 9. Round your answer to the nearest hundredth.

Answers

Answer:

A =254.34 unit^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = 3.14 ( 9)^2

A =254.34

Answer:

254.34

Step-by-step explanation:

The formula for the area of a circle is πr² or in this case, 3.14r²

3.14×9²=

3.14×81=

254.34

Sorry if it looks like I'm copying Wegnerkolmp2741o but I didn't mean to make my answer like theirs.

Other Questions
The following information relates to Wildhorse Co. for the year ended December 31, 2020: net income $1,305 million; unrealized holding loss of $11.2 million related to available-for-sale debt securities during the year; accumulated other comprehensive income of $56.4 million on December 31, 2019. Assuming no other changes in accumulated other comprehensive income.Determine: a. Other comprehensive income for 2017 b. Comprehensive income for 2017. c. Accumulated other comprehensive income at December 31, 2017. A piece of wire is 290 cm long.Dawid cuts three 25 cm lengths off the wire.He then cuts the rest of the wire into as many 30 cm lengths as possible.Work out how many 30 cm lengths of wire Dawid cuts. 01:16:1A weather forecaster describes the condition over Florida as having thunderstorms, rotating winds at 60 miles per hour andheavy rain. Which natural hazard is happening?OoOOa thunderstorma hurricanea tropical cyclonea flood ___, 86, 82, 84, 80, 82, 78fill in the blank Which issue related to mexico became controversial beginning in the 1990s? A teacher needs to cut pieces of yarn, each 3/4 yards in length. How manypieces can he cut from a string of yarn that is 6 yards long? The calculation: 5- (-11)(Five minus negative eleven)There is a photo included, please help! Thanks in advance! Laras Inc. is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings. (15 marks) What is occurring when a transport protein uses energy to pump a solute against its gradient across acell membrane A local maximum of the function f(x) occurs for which x-value?A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2.4321 Can somebody answer this !!! why would admitting to adultery mean admitting to a lesser crime than witchcraft in the crucible Does anyone know what this is? give you 15 pints if you help She wants to build a tower 35 in. tall using dominoes that are 1 and 2/5 in. tall. How many levels will her tower have? explain to me why a rotting banana is a chemical change?? What is the area of the kite?6 ft14 ft Mr. Carson traveled from his house in Pennsylvania to a ski resort in upstate New York. He drove 4.25 hours at a rate of 54.6 miles per hours. When a friend asked how far he traveled to get to the resort, Mr. Carson said about 2,320 miles. Mr. Carson actually traveled a distance of . Was Mr. Carsons estimate reasonable? The production budget for Manner Company shows units to be produced as follows: July, 650; August, 710; and September, 570. Each unit produced requires one hour of direct labor. The direct labor rate is currently $16 per hour but is predicted to be $16.75 per hour in September. Prepare a direct labor budget for the months July, August, and September. According to the Declaration of Independence, what does the king of Englandwant to establish in America?