14-yard fishing line is cut into two pieces. Three times the length of the longer piece is four times the length of the shorter piece. Find the length of each piece.
(Hint: Let x = smaller piece...)

Answers

Answer 1

Answer:

The small piece is 6 yards and the large piece is 8 yards.

Step-by-step explanation:

Let x  = small

Let y = large

x + y = 14       3y = 4x

3y = 4x  Divide both sides of the equation by 3 to solve for y

y = [tex]\frac{4}{3}[/tex] x  Plug [tex]\frac{4}{3}[/tex] x in for y in the first equation above.

x + y = 14

x + [tex]\frac{4}{3}[/tex] x = 14  x and 1 x mean the same thing.  Another name for 1 is [tex]\frac{3}{3}[/tex]

[tex]\frac{3}{3}[/tex]x + [tex]\frac{4}{3}[/tex]x = 14

[tex]\frac{7}{3}[/tex]x = 14  Multiple both sides by [tex]\frac{3}{7}[/tex] to solve for x

([tex]\frac{3}{7}[/tex])([tex]\frac{7}{3}[/tex]x) = 14([tex]\frac{3}{7}[/tex]) you can write 14 as [tex]\frac{14}{1}[/tex]([tex]\frac{3}{7}[/tex]) = [tex]\frac{42}{7}[/tex]= 6

x = 6

If x = 6, then y must be 8 because 6 + 8 = 14


Related Questions

Part 2 - Find the error(s) and solve the problem correctly. Explain your corrections. Solve: 2cos x = 4 cos x sin 2 x Answer: 2cos x = 4 cos x sin 2 x 2cos x = 4 cos x sin ( 2 x 2 cos x in common onboth sides) 1 = sin 2 x The only place sin x = 1 is where the angle is . π 2 x = π

Answers

Answer:

l dont know l am not studying it sorry

Answer:

hey what was the answer?

Step-by-step explanation:

I need help im going to failllll!!!!!!

(-2) * n * (8) * n * (-n)

Answers

Answer:

16[tex]n^{3}[/tex]

Step-by-step explanation:

we evaluate from left side to right side

so -2*n =-2n

-2n *8 = -16n

-16n * n =-16n^2

-16 n * -n =16 n^3

hope this helps

What is the equation of the line that passes through the point (6,-3) and has an undefined slope?

Answers

Answer:

x=6

Step-by-step explanation:

This is a vertical line going through (6,0).  If you take this point and the point given and calculate the slope you find the change in y over the change in x.  

0-(-3)/6-6  The slope is undefined because the denominator of the slope would be zero.

You are ordering shirts for a club at your school. The function f(x) = 8x + 12 represents the cost of
ordered a shirts. How much would it cost to buy 32 shirts?

Answers

It would cost 2.50$ for each shirt.

The cost of buying 32 shirts according to the function given is $268.

Given that the function f(x) = 8x + 12 represents the cost of ordered a shirt.

We need to find the cost to buy 32 shirts.

To find out how much it would cost to buy 32 shirts, you can use the given function f(x) = 8x + 12, where 'x' represents the number of shirts and 'f(x)' represents the cost of ordering 'x' shirts.

Let's plug in x = 32 into the function:

f(32) = 8 × 32 + 12

f(32) = 256 + 12

f(32) = 268

So, it would cost $268 to buy 32 shirts.

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When given -5(x + 4) = 90 and trying to prove that x = -18, what should be placed in line A of the two-column proof? Statement Reason 1. -5(x + 4) = 90 1. Given 2. -5x − 20 = 90 2. _____A______ 3. _______B________ 3. Addition Property of Equality 4. x = -22 4. ____C_______ Subtraction Property of Equality Distributive Property

Answers

The 4 reasons for the Algebra proof are respectively;

Given; Distributive property; Addition Property; Division Property

How to use algebra properties?

We want to use algebra properties to find the value of x in the expression; -5(x + 4) = 90

Statement 1;  -5(x + 4) = 90

Reason 1; Given

Statement 2; -5x - 20 = 90

Reason 2; Distributive property of Algebra because we distributed -5 into the bracket terms.

Statement 3; -5x = 110

Reason 3; Addition property of equality because we added 20 to both sides to achieve that.

Statement 4; x = -22

Reason 4; Division property of equality because we divided both sides by -5 to obtain x = -22.

Thus, the 4 reasons are respectively;

Given; Distributive property; Addition Property; Division Property

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Blue Ocean Realty Co. pays weekly salaries of $33,300 for a six-day workweek (Monday through Saturday).

Answers

that’s a lot of money. that’s literally $5,550 a day

m(t)=120e−0.018t
How much mass remains after 50 years? Round to 2 decimal places.

Answers

The mass that would remain after 50 years is 48. 79 kilograms

How to determine the amount

It is important to note that half - life is the time it takes for amount of a substance to reduce to half of its initial value.

Given the equation

m(t)=120e−0.018t

Where

m(t) is the amount = unknown

t = time = 50 years

[tex]m(t) = 120e^0^.^0^1^8^t[/tex]

Substitute the value into the equation

[tex]m(t) = 120e^0^.^0^1^8^(^5^0^)[/tex]

[tex]m(t) = 120e^-^0^.^9[/tex]

Find the exponential value

[tex]m(t) = 48.788399[/tex]
m(t) = 48. 79 kilograms in 2 decimal places

Thus, the mass that would remain after 50 years is 48. 79 kilograms

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i need help with number 70

Answers

The volume of the rectangular prism is of 28.6875 mm³.

What is the volume of a rectangular prism?


The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

For this problem, the dimensions are:

2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.

Hence the volume is:

V = 2.125 x 6.75 x 2 = 28.6875 mm³.

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Find the difference: -2-6

Answers

The difference is -8. Why? Well, see below for the proper explanation!

I was taught how to solve these kinds of problems easily! Whenever you are subtracting a negative by a positive, you can think of it as using the two minus signs as addition and keeping the result negative. An example of this would be as follows:

Let’s take the problem -7 - 3.

See the two minus signs (the one in -7 and the one that shows we are subtracting)? Well, these two signs can be put together to form an addition sign (+), which shows that we are adding these two numbers together.

7 + 3 = 10

Now that we added the numbers, we can just add the negative sign back on to show that -7 - 3 = -10.

A simple way to remember this is that -7 + 3 would give us -4. This makes things easier to remember because subtraction is the inverse operation of addition, and since adding a negative and positive results in numbers that go more toward the origin and positive numbers side of a number line, we can just do the inverse operation to find that subtracting a negative by a positive number results in numbers moving to the left on a number line, which resembles less and farther from the origin.

Your final answer: -2 - 6 = -8. If you need extra help, let me know and I will gladly assist you.

-102/119 in standard form

Answers

Answer:-8.5714285714 × 10-1

Step-by-step explanation:

-101/119=-0.85714285714

remember Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

so -0.85714285714 in standard form is -8.5714285714 × 10-1

Measure the angle in degrees.

Answers

Answer:

Angle is measured in degrees (°) and radians. It is formed between the two adjacent sides of a polygon. Every polygon has different sides and different numbers of angles. The formula to find the angles in degrees is useful in geometry and trigonometry. It is essential to understand other concepts of mathematics, such as arc, a central angle of the circle, etc.  

A full circle = 360°

A straight line = 180°

A semicircle= 180°

A Quarter circle = 90°

example

Given: Hypotenuse = 12

Perpendicular = 6

The trigonometry function to calculate the angle is given by:

sinA = 6/12

A = 30°

What is the lateral surface area of the cone?

A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.

L A = pi r l
108 pi centimeters squared
135 pi centimeters squared
180 pi centimeters squared
270 pi centimeters squared

Answers

Answer:

135 pi centimeters squared

Step-by-step explanation:

Hello!

where la is lateral surface area

[tex]first \: the \: formula \: for \: the \: lateral \: surface \: are \: of \: cone \: is \\ la = \pi \times r \times l \\ where \: r = radius \\ l = slant \: height \\ therefore.first \: find \: the \: radius(r) = \frac{d}{2} \\ r = \frac{18cm}{2} = 9cm \\ so \: as \: we \: have \: the \: radius \: we \: can \: solve \: for \: the \: la \\ la = \pi \times r \times l \\ la = \pi \times (9cm) \times (15cm) \\ la = 135\pi \: cm {}^{2} [/tex]

I need to find the area for this shape I’ve tried several different ways and still no answer please help

Answers

Answer:

c) 212 sq ft

Step-by-step explanation:

I don't know which ways you tried, but I will show you three different ways, and the answer will be the same using all three ways.

1) The length of the upper horizontal side is 8 ft + 12 ft = 20 ft

Think of a rectangle 20 ft by 16 ft with a rectangle 12 ft by 9 ft missing at the lower right corner.

area = 20 ft × 16 ft - 12 ft × 9 ft

area = 320 ft² - 108 ft²

area = 212 ft²

2) Break up the shape into an upper horizontal rectangle 20 ft long by (16 ft - 9 ft) = 7 ft wide and a lower left rectangle 9 ft high and 8 ft wide.

area = 20 ft × 7 ft + 9 ft × 8 ft

area = 140 ft² + 72 ft²

area = 212 ft²

3) Break up the shape into an left vertical rectangle 16 ft high by 8 ft wide and an upper right rectangle 7 ft high and 12 ft wide.

area = 16 ft × 8 ft + 7 ft × 12 ft

area = 128 ft² + 84 ft²

area = 212 ft²

Answer: c) 212 sq ft

Answer:

Step-by-step explanation:

espero ter ajudado

Fill in the blank 57.59 - ___=1.29

Answers

Answer: 57.59- 56.3=1.29

Step-by-step explanation:

57.59-x = 1.29

-x= 1.29-57.59

(—) -x= - 56.3

x=56.3

Can someone answer this for me

Answers

The equation of the line in standard form is 6x - 7y = - 11

How to represent linear equation in standard form?

The standard form for linear equations in two variables is Ax + By = C.

Therefore, using (-3, -1)(1 / 2, 2)

y = mx + b

where

m = slopeb = y-intercept

Hence,

m = 2 + 1 / 1  /2 + 3 = 6 / 7

Hence,

-1 = 6 / 7(-3) + b

- 1 = - 18 / 7 + b

-1 + 18 / 7 = b

b =  -7 + 18/ 7

b = 11 / 7

Therefore,

y = 6 / 7 x + 11 / 7

Using the standard form,

6 / 7 x - y = - 11 / 7

6x - 7y = - 11

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The linear equation in standard form is:

6x - 7y = -11

Which is the last option.

How to get the equation of the line?

The line in slope-intercept form is written as:

y = a*x + b

We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:

[tex]a = \frac{2 - (-1)}{1/2 - (-3)} = \frac{3}{3.5} = \frac{6}{7}[/tex]

Then we can write:

y = (6/7)*x + b

To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:

-1 = (6/7)*-3 + b

-1 + 18/7 = b

-7/7 + 18/7 = b

11/7 = b

Then the equation is:

y = (6/7)*x + 11/7

If we multiply both sides by 7 we get:

7y = 6x + 11

Now we move the term with "x" to the left:

7y - 6x = 11

That is the line in standard form.

If we multiply both sides by -1, we get the last option:

6x - 7y = -11

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The diagram is supposed to be used for both question 7 and 8. WORTH 30 POINTS.

Answers

7. D. Arc JK = 124°

8. Applying the angle of intersecting chords theorem, m∠1 = 115°.

What is the Angle of Intersecting Chords Theorem?

The angle of intersecting chords theorem states that the angle (∠1) formed by two chords in a circle, equals half of the sum of the intercepted arcs (arcs ML and JK).

Arc JMK = 2(118) = 236° [inscribed angle theorem]

Arc JK = 360 - arc JMK = 360 - 236

Arc JK = 124°

Arc ML = 236 - 70 - 60 = 106°.

m∠1 = 1/2(arc JK + arc ML)

m∠1 = 1/2(124 + 106)

m∠1 = 115°.

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Which function is graphed below?

Answers

The function that represents the given trigonometric graph is; f(x) = cos (x)

How to Interpret Trigonometric Graphs?

From the given trigonometric Graph, we can see the following;

When x = 0, y = 1

When x = π/2, y = 0

When x = π, y = -1

When x = 2π, y = 1

Now, according to trigonometric functions in radians, we know that;

cos 0 = 1

cos  π/2 = 0

cos  π = -1

cos  2π = 1

These values correspond with what we have in the given trigonometric graph and as such we can say that the function that is graphed is;

f(x) = cos (x)

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What is the question of the translated function, g(x), if f(x)=x^2
-Dear lord help

Answers

The graph of the parabola g(x) is (x+2)^2 + 3

Translation of function

Given the following parent function of the parabola expressed as;

f(x) = x^2

The function g(x) shows a horizontal translation to the left by 2 units and vertical translation up by 3 units to have the equation;

g(x)  = (x+2)^2 + 3

Hence the graph of the parabola g(x) is (x+2)^2 + 3

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Lionel sold at $10.70 each and 15 pens at $2.10 each during a sale. Janet sold the same number of balls at $11.20 each and 15 pens at $1.90each. They collected the same amount of money. How many ball did each of them sell?

Answers

Let the number of ball be x.

10.7x+15(2.1)=11.2x+15(1.9)
31.5=0.5x+28.5
0.5x=3
x=6

Therefore each of them sell 6 balls.

Hope it helps, have a nice day : )

Fill in the blank with a number to make the expression a perfect square. v^(2)-10v+

Answers

The number makes the expression a perfect square trinomial is 25.

Hence, we have v² - 10v + 25.

What number makes the expression a perfect square?

Given the expression; v² - 10v

To determine the number that makes the expression a perfect square trinomial, we divide the coefficient of v by 2 and square the result.

( -1 × 10/2 )²

(-1 × 5)²

( -5 )²

25

We add 25 to the expression to get a perfect square trinomial.

v² - 10v + 25.

Therefore, the number makes the expression a perfect square trinomial is 25.

Hence, we have v² - 10v + 25.

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AHAISNSHKWSN HELP PLEASEEE

Answers

Answer:

best answer is c. (2,3),(4,4),(6,5),(8,6)

Step-by-step explanation:

multiply x and y components 2*3,4*4,6*5,8*6

Identify all rays and lines in the picture below.

Answers

The rays and lines in the picture are as follows;

rays: BD, AC and AB

lines: AC

What are rays and lines?

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

A ray is named using its endpoint first, and then any other point on the ray

A line segment has two endpoints.

Therefore, the rays and lines are as follows:

rays: BD, AC and AB

lines: AC

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A farmer finds there is a linear relationship between the number of bean stalks, n , she plants and the yield, y , each plant produces. When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 33 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.

Answers

The equation y = -0.5x +45 represent the linear relationship.

According to the statement

We have given that the When she plants 30 stalks, each plant yields 30 oz of beans and When she plants 33 stalks, each plant produces 29 oz of beans.

And we have to find the linear relationship between the plants which are stalks.

So, For this purpose,

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

y-y1 / y2-y1 =  x-x1 / x2-x1

Substitute the points as x =n and put the other values in it then

y-30 / 28-30 =  x-30 / 34-30

Then

y = -0.5x +45

This represent the relationship.

So, The equation y = -0.5x +45 represent the linear relationship.

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A person draws a card from a hat. Each card is one color, with the following
probabilities of being drawn: 1/25 for blue, 1/15 for yellow, 1/10 for green, and
1/20 for white. What is the probability of pulling a green or yellow card, written
as a reduced fraction?
FU

Answers

Answer:

1/6

Step-by-step explanation:

1/15 yellow, 1/10 green, and 1/20 white

1/15 + 1/10 is the probability for yellow or green.

2/30 + 3/30 = 5/30 = 1/6

Brainliest, please :)

126.8 is 63 2/5% of what?

Answers

Answer:

200

Explanation:

126.8 x 100

126.8/63.4 = 200

The function h(x) = 2|x] is a transformation of the absolute value parent
function, f(x) = |xl. Which graph shows h(x)?

Answers

The graph is shown in the attached image.

Represent the following situation using Venn diagrams and answer the questions that follow. In a survey of 100 students in the institute language studies at oxford university, the number of students studying various languages in last four years were found to be : Italian 28, German 30,French 42,Italian and French 10, Italian and German 8, German and French 5, all the three languages 3. (1 point each) a. Venn diagram. b. How many students are studying none of the languages? c. How many students had French as their only language? d. How many students are studying at least one of the languages?​

Answers

There are 80 students studying at least one language

The Venn Diagram

The given parameters are:

Italian = 28German = 30French = 42Italian and French = 10Italian and German = 8German and French = 5Three languages = 3

Using the above parameters, we have:

German and French only = 5 - 3 = 2

Italian and French only = 10 - 3 = 7

Italian and German only = 8 - 3 = 5

French only = 42 - 7 - 2 - 3 = 30

German only = 30 - 2 - 5 - 3 = 20

Italian only = 28 - 7 - 5 - 3 = 13

See attachment for the Venn diagram

Students studying none of the languages

This is calculated as:

None + At least one = Total

Using the Venn diagram, we have:

None + (3 + 2 + 5 + 7 + 13 + 20 + 30) = 100

This gives

None + 80 = 100

Subtract 80 from both sides

None = 20

Hence, there are 20 students studying none of the languages

Students studying French only

This is calculated as

French only = French - French and Italian - French and German + All three

So, we have:

French only = 42 - 10 - 5 + 3

Evaluate

French only = 30

Hence, there are 30 students studying French only

Students studying at least one

In (b), we have:

None + At least one = Total ⇒ None + (3 + 2 + 5 + 7 + 13 + 20 + 30) = 100

By comparing both equations, we have

At least one = 3 + 2 + 5 + 7 + 13 + 20 + 30

This gives

At least one = 80

Hence, there are 80 students studying at least one language

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Zoya asked the students of her class their baseball scores and recorded the scores in the table shown below:

Baseball Scores


Score Number of Students
0 1
1 2
2 5
3 3
4 6
5 7
6 9


Based on the table, what is the mean baseball score?
2.5
2.9
3.5
4.1

Answers

Option D, 4.1 is the correct answer. The mean baseball score is 4.1 given the table of values of baseball scores and score number of students. This can be obtained by using the formula for mean.

Calculate mean for the data:

Mean can be obtained by the formula,

Mean = [tex]\frac{sum\ of\ observations}{total\ number\ of\ observations}[/tex]

Sum of basketball scores = 0×1 + 1×2 + 2×5 + 3×3 + 4×6 + 5×7 + 6×9

= 0 + 2 + 10 + 9 + 24 + 35 + 54

total number of basketball scores =  1 + 2 + 5 + 3 + 6 + 7 + 9 = 33

Mean = [tex]\frac{0+2+10+9+24+35+54}{33}[/tex] = 4.06 ≈ 4.1

Hence the mean baseball score is 4.1 given the table of values of baseball scores and score number of students. Option D, 4.1 is the correct answer.

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Create a line that is parallel to and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.















reate a line that is parallel to and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.















Create a line that is parallel to AB and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.

Answers

The attached line is a parallel line that goes through C and parallel to AB

What are parallel lines?

Parallel lines are lines on the same plane that have the same slope, they do not intersect even when they are extended indefinitely

How to create the parallel lines?

From the question, we have the following points and line:

Line ABPoint C

The following steps would create the parallel line that goes through C and parallel to AB

Draw a line from point C to touch the line segment AB at anywhereMark a point anywhere on the line drawn from point C such that the line is short. Call this point KCreate a circle that has a radius F KMark the intersection of the circle and the initial lineCreate another circleMark the intersection of the circle and the line ABCreate another circleConnect the endpoints of the lines

See attachment for the parallel line that goes through C and parallel to AB

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Use the chart to find the constant of variation

Answers

As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.

Does the table represent a linear relation?

A table between two variables represents a linear relation if and only if every pair of values (x, y) have the same constant:

k = y/x     (1)

Now we proceed to check the existence of the constant of variation:

k₁ = 8/(- 2) = - 4

k₂ = (- 16)/4 = - 4

k₃ = (- 36)/9 = - 4

As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.

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Consider the equation. Select the operation needed to perform each step.36 = 16 - 10mStep 1: To isolate the term with the variable.Choices: Add 16 to both sides. Add 10m to both sides. Subtract 16 from both sides. Subtract 10m from both sides. Multiply both sides by 10. Divide both sides by 10.Step 2: To Isolate the variable.Choices: Add 16 to both sides. Add 10m to both sides. Subtract 16 from both sides. Subtract 10m from both sides. Multiply both sides by -10. Divide both sides by -10.Step 3: Solve for m. Tony owns a bicycle shop where he sells bicycles, repairs them, and sells accessories. How many revenue streams does Tony's business have?a. oneb. twoc. threed. four The ability of typhoid to spread can best be attributed to:__.a. bacteria in unclean water. b. the lack of good medicine. c. an unhealthy lifestyle. d. mosquito bites. a cosmic ray travels 60.0 km through the earth's atmosphere in 350 s , as measured by experimenters on the ground. you may want to review (pages 1035 - 1039) . the most elementary way in which people learn is _______, or copying someone else's behavior. Determine whether the geometric series is convergent or divergent 9 n=1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Which environmental statement is true?1) Tropical forests are the earth's richest, oldest, and most complex ecosystems.2) Because of technological breakthroughs, people living in developed countries put less strain on the environment than do people in poorer countries.3) There are only about 1000 species of animals left in the world.4) The United States consumes only its proportional share of the world's irreplaceable natural resources. when a class does not use the extends key word to inherit from another class, java automatically extends it from the ________ class. 4-nitrophenol is more acidic than phenol due to resonance stabilization of the conjugate base. Based on this reasoning, do you expect 3-nitrophenol to be more acidic than 4-nitrophenol, less acidic, or about the same? Explain your answer and draw all relevant resonance structures.I'm not even sure what resonance stabilization is =/ Which equation is true? 10 + (7 3) 2 = (10 + 4) 2 10 + (7 3) 2 = 4 + 1.5 2 10 + (7 3) 2 = 2 6 1.5 10 + (7 3) 2 = 8 3 2 What is most likely the color of the light whose second-order bright band forms an angle of 13. 5 if the diffraction grating has 175 lines per mm? green red violet yellow. The most likely location for an electron in H2 is halfway between the two hydrogen nuclei.Select one:TrueFalse HOW DOES THE WIND POKE FUN AT THE WEAKLINGS? Please help please please both peak area and peak height could be used for creating calibration curve. which method is better for determination of the lcohol in unknown sample? why? One reason that most people do not easily solve the original (abstract) version of the Wason four-card problem is that theyA. ignore the falsification principle.B. are influenced by the atmosphere effect.C. confuse the ideas of validity and truth.D. incorrectly apply the permission schema. Business transactions completed by Hannah Venedict during the month of September are as follows.a.Venedict invested $84,000 cash along with office equipment valued at $23,000 in exchange for common stock of a new company named HV Consulting.b.The company purchased land valued at $35,000 and a building valued at $170,000. The purchase is paid with $35,000 cash and a long-term note payable for $170,000.c.The company purchased $1,700 of office supplies on credit.d.Venedict invested her personal automobile in the company in exchange for more common stock. The automobile has a value of $16,200 and is to be used exclusively in the business.e.The company purchased $5,400 of additional office equipment on credit.f.The company paid $1,900 cash salary to an assistant.g.The company provided services to a client and collected $7,000 cash.h.The company paid $645 cash for this month's utilities.i.The company paid $1,700 cash to settle the account payable created in transaction c.j.The company purchased $20,300 of new office equipment by paying $20,300 cash.k.The company completed $6,750 of services for a client, who must pay within 30 days.l.The company paid $1,800 cash salary to an assistant.m.The company received $4,000 cash in partial payment on the receivable created in transaction k.n.The company paid $2,600 cash in dividends. Bile esculin medium is made selective by the incorporation of ___, and differential by the incorporation of ___ and ferric citrate. A client wishes to increase fiber to promote more regular bowel movements. Which food will the nurse recommend that the client consume? Water flows through circular pipe of internal diameter 3 cm at a speed of 10 cm/s. if the pipe is full, how much water flows from the pipe in one minute? (answer in litres)