What's the divisor, dividend, Quotient, and reminder in a long divison problem

Answers

Answer 1

In a long division problem, say 8/5:

[tex]\frac{8}{5}\text{ is the quotient}[/tex]

• 8 is the divisor

,

• 5 is the dividend

[tex]\frac{8}{5}=1\frac{3}{5}[/tex]

• 3 is the remainder.


Related Questions

f(a)=92.39 and the average rate of change of f over the interval from x=a to x=a+266 is 0.16. What is the value of f(a+266)?f(a+266)=

Answers

Average rate is f(a+266)-f(a))/266

so f(a+266) equals (0.16 x 266) + f(a)

f (a+266)= (0.16 x 266) + 92.39

Drag the curve to the correct location on the graph. A small museum opened in 2004 with 80 pieces of art in its collection. In 2005, the number of pieces of art in the collection was 1.2 times the initial number of pieces of art. Then, in 2006, the number of pieces of art in the collection was 1.2 times the size of the previous year's collection. The directors of the museum plan to continue acquiring pieces of art at the same rate. Complete the graph of this relationship. 1207 ces of Art f(x) 3001 240 180 120​

Answers

The most appropriate choice for geometric series will be given by

The equation is [tex]y = 80 (1.2)^x[/tex] and it is a geometric function.

What is geometric series ?

The series in which the ratio between consecutive terms of the series are same is called geometric series

For example, 2, 4, 8, 16, ... is a geometric series in which ratio between two consecutive terms is 2.

Number of pieces of art in 2004 = 80

Number of pieces of art  in 2005 = [tex]80 \times 1.2[/tex]

Number of pieces of art in 2006 =  [tex]80\times (1.2)^2[/tex]

Number of pieces of art after x years from 2004 = [tex]80 \times (1.2)^x[/tex]

The equation is [tex]y = 80 (1.2)^x[/tex]

This is a geometric function

The graph has been attached here.

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Find the length of the third side. If necessary, write in simplest radical form. 9 5 Submit Answer Answer:

Answers

The Pythagorean theorem states:

[tex]c^2=a^2+b^2[/tex]

where a and b are the legs and c is the hypotenuse of a right triangle.

Substituting with c = 9 and a = 5, we get:

[tex]\begin{gathered} 9^2=5^2+b^2 \\ 81=25+b^2 \\ 81-25=b^2 \\ 56=b^2 \\ \sqrt[]{56}=b \\ \sqrt[]{4\cdot14}=b \\ \sqrt[]{4}\cdot\sqrt[]{14}=b \\ 2\sqrt[]{14}=b \end{gathered}[/tex]

Which statement is true about the relation shown on the graph below?

Answers

We know that a function has a unique value of y for each value in x so the correct statement is:

c. it is not a function because there are multiple y values for a given x value

How to find postulate

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Note that if plane N and plane M intersects each other in two points (say A and B) it follows that they intersects each other in the line that contains A and B. So they cannot intersect exactly in only two points. Postulate number 10

I need help with this practice I am new to this subject of mathematics (algebra) Can you show me how to solve this STEP-BY-STEP?

Answers

Given:

[tex]4+x+8=24[/tex]

Required:

To find the correct one.

Explanation:

The given quation is:

4 + x +8 =24

Subtract 8 on both sides

4 + x +8 - 8 = 24 -8

4 + x = 16

Final Answer:

Thus the first option is the correct answer.

Problem 14.f(2)(a) Determine the equations of the perpendicular bisectors througheach side of the triangle.C(4,6)B(7,3)A(2,2)I

Answers

The product of the slopes of the perpendicular lines is -1, which means if the slope of one of them is m, then the slope of the perpendicular line is -1/m

In triangle ABC

The perpendicular bisector of the side BC is drawn from the opposite vertex A

Then to find it find the slope of BC and reciprocal it and change its sign to get its slope and find the midpoint of BC to use it in the equation of the perpendicular bisector

Since B = (7, 3) and C = (4, 6)

Let us find the slope of BC, using the rule of the slope

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let (x1, y1) = (7, 3) and (x2, y2) = (4, 6)

[tex]\begin{gathered} m_{BC}=\frac{6-3}{4-7} \\ m_{BC}=\frac{3}{-3} \\ m_{BC}=-1 \end{gathered}[/tex]

Now to find the slope of the perpendicular line to BC reciprocal it and change its sign

Since the reciprocal of 1 is 1 and the opposite of negative is positive, then

Then the slope of the perpendicular line is 1

Now, let us find the mid-point of BC

The rule of the midpoint is

[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Then the mid-point of BC is

[tex]\begin{gathered} M_{BC}=(\frac{7+4}{2},\frac{3+6}{2}) \\ M_{BC}=(\frac{11}{2},\frac{9}{2}) \\ M_{BC}=(5.5,4.5) \end{gathered}[/tex]

Now we can form the equation of the perpendicular bisector of BC using its slope 1 and the point (5.5, 4.5)

The form of the equation using a point and a slope is

[tex]y-y1=m(x-x1)[/tex]

m is the slope and (x1, y1) is a point on the line

Since m = 1 and (x1, y1) = (5.5, 4.5), then

[tex]\begin{gathered} m=1,x1=5.5,y1=4.5 \\ y-4.5=1(x-5.5) \\ y-4.5=x-5.5 \end{gathered}[/tex]

Add 4.5 to both sides

[tex]\begin{gathered} y-4.5+4.5=x-5.5+4.5 \\ y=x-1 \end{gathered}[/tex]

The equation of the perpendicular bisector of BC is

[tex]y=x-1[/tex]

We will do the same to AB and AC

Question is stated in picture. The figure is a triangular piece of cloth

Answers

Answer:

Alternative D - 8 sin(35°)

Step-by-step explanation:

Sin(x) is defined as:

[tex]\begin{gathered} \sin (x)=\frac{\text{Opposite side}}{Hypotenuse\text{ }} \\ \end{gathered}[/tex]

In this exercise,

BC is the opposite side to 35°

AC is the hypotenuse and measures 8 in

Then:

[tex]\begin{gathered} \sin (35\degree)=\frac{BC}{8} \\ \sin (35\degree)\cdot8=BC \\ BC=8\sin (35\degree) \end{gathered}[/tex]

which of the following is an integer ) 58/81) π) -11) 27.4444....

Answers

-11 is an integer number

Approximate 14 plus cube root of 81 to the nearest tenth.

15.8
17.9
18.0
18.3

Answers

The Approximation of 14 plus cube root of 81 to the nearest tenth is 18.0

How can the terms be simplified?

The concept that will be used to solve this is finding cube root of 81 which same thing as [tex]81^{\frac{1}{3} }[/tex].

Firstly we will need to find the  cube root of 81, which can be expressed as this: [tex]\sqrt[3]{81}[/tex]  and this can be calculated as 4.33.

This implies that the cube root of 81 will now be 4.33.

Then we can proceed to the simplification that was asked from the question which is 14 plus cube root of 81 and this can be expressed as ( 14) + (4.33) = 18.33

Then we were told to express in the the nearest tenth which is 18.0

Therefore, the third option is correct.

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You can use a calculator to approximate the logarithm. Round to four decimal place

Answers

This is a simple question to solve when we use the calculator (as the question allows us to use it).

For this problem when we have :

[tex]\log \pi[/tex]

It can be read as "log base 10 of pi", and using a calculator we find:

And that is the final answer.

NOTE: this result means that:

.

8.
What is the measure of angle x in the figure?
40°
A 69°
B 71°
C 109°
D 111°

Answers

Answer:

C 109

Step-by-step explanation:

First add all the known angles inside the triangle first to get 109°

Then since all angles in a triangle add to 180°

you take away 109 from 180 so

180-109 which equals 71

Then since all angles on a straight line add up to 180°

you take 71 from 180 so

180-71 = 109

so x = 109°

Find the median and mean of the data set below: 3, 8, 44, 50, 12, 44, 14 Median Mean =

Answers

the median is 25, because:

[tex]=\frac{3+8+44+50+12+44+14}{7}=\frac{175}{7}=25[/tex]

the mean value is :

[tex]14[/tex]

A store had 896 swimsuits that were marked to sale at $44.95/swimsuit. Each suit was marked down $16.90. Find the reduced price using the formula M = S - N, where M is the markdown, S is the original selling price, and N is the reduced price. The reduced price is ?

Answers

Given:

The original selling price of 1 swimsuit = $44.95

The selling price of 1 marked down swimsuit = $16.90

Using the provided formula:

[tex]M\text{ = S - N}[/tex]

Where,

M is the markdown

S is the original selling price

N is the reduced price

Substituting we have:

[tex]16.90\text{ = 44.95 - N }[/tex]

Solving for N:

[tex]\begin{gathered} \text{Collect like terms} \\ -N\text{ = 16.90 - 44.95} \\ -N\text{ = -28.05} \\ \text{Divide both sides by -1} \\ \frac{-N}{-1}=\text{ }\frac{-28.05}{-1} \\ N\text{ = 28.05} \end{gathered}[/tex]

Hence, the reduced price is $28.05

Answer:

$28.05

Suppose that the edge lengths x, y, z of a closed rectangular box are changing at the following rates: dx/dt= 1m/s, dy/dt= -2 m/s, and dz/dt= 0.5 m/s.

At the instant x= 2m, y= 3m, z= 5m, find the rates of change:

a) volume of the box
b) surface area of the box
c) diagonal of the box

Answers

a) The rate of change of the volume of the box is 8m³/s.

b) The rate of change of the surface area of the box is -19m²/s.

c) The rate of change of the diagonal of the box is 1m/s.

Let the rate of change of  the edge length x, y, and z of a closed rectangular box are:

dx/dt= 1m/s

dy/dt= -2 m/s

dz/dt= 0.5 m/s

a) The volume of the box

From the formula of the volume,

V=xyz

Then,

differentiate w.r.t t

[tex]\frac{dV}{dt} = xy\frac{dz}{dt} + yz\frac{dx}{dt} +xz\frac{dy}{dt}[/tex]

[tex]\frac{dV}{dt} = xy(0.5)+ yz(1)+xz(-2)[/tex]

put the value of x, y, z , then we get

[tex]\frac{dV}{dt} = 2.3.(0.5)+ 3.5.(1)+2.5.(-2)[/tex]

[tex]\frac{dV}{dt} = 3+ 15 - 10[/tex]

[tex]\frac{dV}{dt} = 8m^3/s[/tex]

The rate of change of the volume of the box is 8m³/s.

b) surface area of the box

surface area of the rectangular box is

s = 2xy + 2yz + 2zx

differentiate w.r.t t

[tex]\frac{ds}{dt} = 2(y + z)\frac{dx}{dt} + 2(z + x)\frac{dy}{dt} +2(x + y)\frac{dz}{dt}[/tex]

[tex]\frac{ds}{dt} = 2(y + z)(1) + 2(z + x)(-2)+2(x + y)(0.5)[/tex]

[tex]\frac{ds}{dt} = 2(3 + 5)(1) + 2(5 + 2)(-2)+2(2 + 3)(0.5)[/tex]

[tex]\frac{ds}{dt} = 16 -40 + 5[/tex]

[tex]\frac{ds}{dt} = -19m^2/s[/tex]

The rate of change of the surface area of the box is -19m²/s.

c) diagonal of the box

lengths of  the boxes for the diagonal is

s = 2x² + y² + z²

differentiate equation w.r.t t

[tex]\frac{ds}{dt} = 4x\frac{dx}{dt} + 2y\frac{dy}{dt} +2z\frac{dz}{dt}[/tex]

[tex]\frac{ds}{dt} = 4.2.1+ 2.3.(-2) +2.5.(0.5)[/tex]

[tex]\frac{ds}{dt} = 8 -12 + 5[/tex]

[tex]\frac{ds}{dt} =1m/s[/tex]

The rate of change of the diagonal of the box is 1m/s.

a) The rate of change of the volume of the box is 8m³/s.

b) The rate of change of the surface area of the box is -19m²/s.

c) The rate of change of the diagonal of the box is 1m/s.

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15. (09.03) Jim picked a card from a standard deck. What is the probability that Ilm picked a heart or an ace? (1 point) OI 52 O 2 52 O 16 52 O 17 52

Answers

The probability of picking a heart or an ace is 17/52

Here, we want to get the probability

The number of cards in a standard deck is 52 cards

Now, we need to know the number of hearts and the number of ace

There are 13 hearts, and 4 aces

The probability of picking a heart is;

[tex]\frac{13}{52}[/tex]

The probability of picking an ace is;

[tex]\frac{4}{52}[/tex]

The probability of picking an ace or a heart is the sum of both which is;

[tex]\frac{4}{52}+\frac{13}{52}\text{ = }\frac{17}{52}[/tex]

5. Helen, Riley, and Derrick are on a running team. Helen ran 15 1/4 kilometers last week. Riley ran 4 1/12 less kilometers than Helen, and Derrick ran 7 3/8 more kilometers than Riley. If their goal is to run 60 kilometers in total, how much further do they need to run to meet their goal? I

Answers

Given in the scenario:

a.) Helen ran 15 1/4 kilometers last week.

b.) Riley ran 4 1/12 less kilometers than Helen.

c.) Derrick ran 7 3/8 more kilometers than Riley.

d.) Their goal is to run 60 kilometers in total.

To be able to determine how much further do they need to run to get 60 kilometers in total, we must first determine how many kilometers did Riley and Derrick run.

We get,

A.)

[tex]\text{Riley: }4\frac{1}{12}\text{ less kilometers than Helen}[/tex][tex]\text{ = 15 }\frac{1}{4}\text{ - 4 }\frac{1}{12}[/tex]

Recall: To be able to subtract mixed numbers, you must first convert them into an improper fraction with a common denominator. The LCM of the two denominators must be their denominator when converted.

The LCM of 4 and 12 is 12. We get,

[tex]\text{ 15 }\frac{1}{4}\text{ = }\frac{1\text{ + (4 x 15)}}{4}\text{ = }\frac{1\text{ + 60}}{4}\text{ = }\frac{61}{4}\text{ = }\frac{(61)(3)}{12}\text{ = }\frac{183}{12}[/tex][tex]4\text{ }\frac{1}{12}\text{ = }\frac{1\text{ + (4 x 12)}}{12}\text{ = }\frac{1\text{ + 48}}{12}\text{ = }\frac{49}{12}[/tex]

Let's now proceed with the subtraction,

[tex]15\frac{1}{4}-4\frac{1}{12}=\frac{183}{12}\text{ - }\frac{49}{12}\text{ = }\frac{183\text{ - 49}}{12}\text{ = }\frac{134}{12}\text{ = }\frac{\frac{134}{2}}{\frac{12}{2}}\text{ = }\frac{67}{6}\text{ or 11}\frac{1}{6}[/tex]

Conclusion: Riley ran 11 1/6 kilometers.

B.)

[tex]\text{Derrick: }7\frac{3}{8}\text{ more kilometers than Riley}[/tex][tex]\text{ = 11}\frac{1}{6}\text{ + 7}\frac{3}{8}[/tex]

Recall: To be able to add mixed numbers, you must first convert them into an improper fraction with a common denominator. The LCM of the two denominators must be their denominator when converted.

The LCM of 6 and 8 is 24. We get,

[tex]11\frac{1}{6}\text{ = }\frac{1\text{ + (11 x 6)}}{6}\text{ = }\frac{1\text{ + 66}}{6}\text{ = }\frac{67}{6}\text{ = }\frac{(67)(4)}{24}\text{ = }\frac{268}{24}[/tex][tex]7\frac{3}{8}\text{ = }\frac{3\text{ + (7 x 8)}}{8}=\frac{3\text{ + 56}}{8}=\frac{59}{8}=\frac{(59)(3)}{24}=\frac{177}{24}[/tex]

Let's now proceed with the addition,

[tex]11\frac{1}{6}\text{ + 7}\frac{3}{8}\text{ = }\frac{268}{24}\text{ + }\frac{177}{24}\text{ = }\frac{268\text{ + 177}}{24}\text{ = }\frac{445}{24}\text{ or 18}\frac{13}{24}[/tex]

Conclusion: Derrick ran 18 13/24 kilometers.

C.) To be able to determine how much further do they need to run to get 60 kilometers in total, we subtract 60 by the sum of distance the three people ran.

We get,

[tex]\text{ 60 - (15 }\frac{1}{4}\text{ + 11}\frac{1}{6}\text{ + 18}\frac{13}{24})[/tex]

The same process that we did, convert all numbers into similar fractions.

The LCM of 4, 6 and 24 is 24. We get,

[tex]15\frac{1}{4}\text{ = }\frac{1\text{ + }(15\text{ x 4)}}{4}\text{ = }\frac{1\text{ + 60}}{4}\text{ = }\frac{61}{4}\text{ = }\frac{(61)(6)}{24}\text{ = }\frac{366}{24}[/tex][tex]11\frac{1}{6}\text{ = }\frac{1\text{ + (11 x 6)}}{6}\text{ = }\frac{1\text{ + 66}}{6}\text{ = }\frac{67}{6}\text{ = }\frac{(67)(4)}{24}\text{ = }\frac{268}{24}[/tex][tex]\text{ 18}\frac{13}{24}=\text{ }\frac{13+(18\text{ x 24)}}{24}\text{ = }\frac{13\text{ + 432}}{24}\text{ = }\frac{445}{24}[/tex][tex]60\text{ = }\frac{60\text{ x 24 }}{24}\text{ = }\frac{1440}{24}[/tex]

Let's proceed with the operation,

[tex]\text{ 60 - (15 }\frac{1}{4}\text{ + 11}\frac{1}{6}\text{ + 18}\frac{13}{24})\text{ = }\frac{1440}{24}-(\frac{366}{24}\text{ + }\frac{268}{24}\text{ + }\frac{445}{24})[/tex][tex]\text{ }\frac{1440\text{ - (366 + 268 + 445)}}{24}\text{ = }\frac{1440\text{ - 1079}}{24}[/tex][tex]\text{ = }\frac{361}{24}[/tex]

Therefore, they need to run a total of 361/24 kilometers to be able to meet their goal.

Which equation is equivalent to - 2x + 5 - 3x = 5x + 25?A. -5 = -30B. -6x + 5 = 5x + 25C. - 10x = 20D. 20x - 5 = 25

Answers

In order to determine which is the equivalent equation, simplify the given expression:

-2x + 5 - 3x = 5x + 25 simplify like terms left side

-2x - 3x + 5 = 5x + 25

-5x + 5 = 5x + 25 subtract 5x both sides and subtract 5 both sides

-5x - 5x = 25 - 5 simplify both sides

-10x = 20

Hence,the equivalent expression is -10x = 20

Use your knowledge of area and perimeter to complete the following problems. Use 3.14 for  and round to the nearest hundredths place, whenever necessary. Show all work.Part 1:A farmer bought 30 feet of fencing to build a circular pen for his pigs. What is the diameter of the pen he can build with 30 feet of fencing?The farmer also needs to buy a certain type of seed for the grass in the pen. Each bag of seed can cover 50 square feet of land. How many bags of seed will the farmer need to buy?

Answers

[tex]\begin{gathered} \text{Circumfrence of the pen is,} \\ C=2\pi r \\ 30=2\pi\times r \\ r=\frac{30}{2\pi}=4.77\text{ ft} \\ \text{The diameter is}\Rightarrow d=2r \\ d=2\times4.77=9.55\text{ ft} \\ \text{Now, second problem} \\ \end{gathered}[/tex]

Solve the following system of equations using the elimination method. Give the final answer in (x,y) form.

Answers

Anisha used the substitution method to solve the system of equations.

She is missing the value of y.

To find it we plut the value of x in the first equation, then:

[tex]y=4-5=-1[/tex]

Therefore the solution is (4,-1)

is 826,456 divisible by 8

Answers

yes it equals 103,307

Answer:

Yes, because if you divide the two numbers, you get a whole number which means it is. Also, since the last numbers are 56, 8 can go into 56 so yes.

Step-by-step explanation:

1. describe the end behavior. 2. determine whether it represents an odd degree or an even degree function.3. state the number of real zeroes

Answers

1. Quadratic curve

2. Odd degree function

3. TWO REAL ZEROS

Fanuela walked for 3.9 miles per hour for 0.72 hours. How far did she walk?

Answers

Answer: Fanuela walked 2.808 miles.

Step-by-step explanation:

If 3.9 = 100 and we need to work out what 72 is we can do this/

3.9 ÷ 10 = 0.39 which = 10

0.39 ÷ 10 = 0.039 which = 1

so with these calculations we can solve the problem.

To get the 70 in 72 we can do 0.39 x 7 (10 x 7) which = 2.73.

To get the remaining 2 in 72 we can do 0.039 x 2 (1 x 2) which = 0.078.

2.73 + 0.078 = 2.808.

Fanuela walked 2.808 miles.

Hope this helps! Feel free to ask any questions if you're still unsure.

speed = distance/time
3.9=d/0.72
d= 3.9 x 0.72
d= 2.808 miles

An equation is incorrectly solved below.Equation: 2x+3=-4step 1: 2x+3-3=-4-3step 2: 2x=-1step 3: 2x/2=-1/2step 4: x=-1/2What is the first step that shows an error in the solution of the Equation? A. Step 1B. Step 2C. Step 3D. Step 4

Answers

To find the step where the error was made, we are going to correctly solve the equation:

[tex]2x+3=-4[/tex]

We need to solve for x, first we subtract 3 from each side:

[tex]\begin{gathered} 2x+3-3=-4-3 \\ 2x=-7 \end{gathered}[/tex]

We divide by 2 each side:

[tex]\begin{gathered} \frac{2x}{2}=\frac{-7}{2} \\ x=-\frac{7}{2} \end{gathered}[/tex]

The first step that shows an error in the solution of the equation is the Step 2, because when we have two negative numbers, we add them, we do not subtract them.

Answer: B. Step 2

Which is an equation of the line with a slope of2323 passing through the point (4,-1).Group of answer choices=14+23 =−4+23 =23−53 =23−113

Answers

Given that the slope of a line is 2/3, that passes through the point (4, -1), i.e

[tex]\begin{gathered} m=\frac{2}{3} \\ (x_1,y_1)\Rightarrow(4,-1) \end{gathered}[/tex]

The formula to find the equation of straight line is

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where m is the slope of the line} \end{gathered}[/tex]

Substitute the values into the formula of the equation of a straight line

[tex]y-(-1)=\frac{2}{3}(x-4)[/tex]

Solve for y i.e make y the subject

[tex]\begin{gathered} y-(-1)=\frac{2}{3}(x-4) \\ y+1=\frac{2}{3}(x-4) \\ \text{Open the bracket} \\ y+1=\frac{2}{3}x-\frac{2}{3}(4) \\ y+1=\frac{2}{3}x-\frac{8}{3} \\ y=\frac{2}{3}x-\frac{8}{3}-1 \\ y=\frac{2}{3}x-(\frac{8}{3}+1) \\ y=\frac{2}{3}x-(\frac{8+3}{3}) \\ y=\frac{2}{3}x-\frac{11}{3} \end{gathered}[/tex]

Thus, the answer is

[tex]y=\frac{2}{3}x-\frac{11}{3}[/tex]

Thus, the answer is the last option.

Hi dear how do I get to know you and

Answers

Given the picture, we have:

Enclosed area: A = x*y

Fence Length: F= 2x+y

Josephine bought a bag of garri for
N320.00 and sold it for N400.00.
What was her percentage profit

Answers

The most appropriate choice for profit will be given by-

Profit percent after selling a bag of garri is 25%

What is profit?

If the selling price of an article is more than the cost price of the article, then the difference between selling price and the cost price of the article gives the profit

Profit = SP - CP

Here,

Cost price of a bag of Garri = N320

Selling price of a bag of Garri = N400

Profit = N(400 - 320)

         = N80

Profit Percent = [tex]\frac{80}{320} \times 100[/tex]

                       = 25%

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Jan is looking at a mapof Roaring River. The map wascreated using the scale 1 inch :25 miles. If the river is 5.5inches long on the map, then itis actuallymiles long.

Answers

The map of Roaring River shows1 inch to be an equivalent of 25 miles. If therefore, the river is shown as 5.5 inches long on the map;

[tex]\begin{gathered} \text{Scale; 1 inch=25 miles} \\ 5.5\text{ inches=25 x 5.5 miles} \\ 5.5\text{ inches=137.5miles} \end{gathered}[/tex]

The river is "actually" 137.5 miles long

Coronado co. sells product p-14 at a price of $52 a unit. the per unit cost data are direct materials $16, direct labour $12, and overhead $12 (75% variable) Coronado has no excess capacity to accept a special order for 38,700 units at a discount of 25% from the regular price. Selling costs associated with this order would be $3 per unit. Indicate the net income/loss

Answers

The net loss from accepting the special order at a discount of 25% from the regular price, without the existence of excess capacity is $38,700.

How is the net loss determined?

Since Coronado Co. lacks the excess capacity for special orders, it implies that it will incur fixed costs per unit of the special order in addition to the variable costs.

Therefore, the company will incur a per unit cost of $40 ($16 + $12 + $9 + $3) while generating a revenue of $39 per unit.

This results in a loss of $1 per unit.

Selling price per unit = $52

Unit Costs:

Direct Materials = $16

Direct Labor = $12

Variable Overhead = $9 (75% of $12)

Total variable cost per unit = $37

Fixed Overhead = $3 (25% of $12)

Special order price per unit = $39 ($52 x 1 - 75%)

Contribution margin per unit = $2 ($39 - $37)

Total contribution margin = $77,400 ($2 x 38,700)

Fixed Overhead without excess capacity = $116,100 ($3 x 38,700)

Net loss = $38,700 ($77,400 - $116,100)

Thus, without excess capacity, it is inadvisable for Coronado to accept the special order at a total loss of $38,700.

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A. The measure of the angle can not be determined B. 70 degreesC. 110 degreesD. 180 degrees

Answers

Okay, here we have this:

Considering the provided graph, we are going to find the measure of the angle "3", so we obtain the following:

Since angle 3 and 4 form a straight angle, that is to say that these two angles are supplementary, then we have:

[tex]\begin{gathered} m\angle3+m\angle4=180 \\ m\angle3+70=180 \\ m\angle3=180-70 \\ m\angle3=110\text{ degre}es \end{gathered}[/tex]

Finally we obtain that the correct answer is the option C.

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