Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point D is at -3, and point E is at 6. The point F lies on segment DE . The ratio of DF to FE is 2 : 3. Where does point F lie on the number line? Point F is at on the number line.

Answers

Answer 1

Using the section formula, point F lie on 3/5 in the number line.

In the given question,

On a number line, point D is at -3, and point E is at 6.

The point F lies on segment DE .

The ratio of DF to FE is 2 : 3.

We have to find where point F lie on the number line.

Since point D lies is at -3 at x axis so the point should be ( -3,0).

Point E lies is at 6 at x axis so the point should be ( 6,0).

F lies on segment DE. So let the point of F is (X, Y)

The ratio is 2:3.

Now firstly finding the value of X using section formula

X = [tex]\frac{mx_{2}+nx_{1}}{m+n}[/tex]

where [tex]x_{1}[/tex]= -3, [tex]x_{2}[/tex]= 6, m= 2 and n=3

Now putting the value

X = {2×6+(-3)3}/(2+3)

Simplifying

X = (12-9)/5

X = 3/5

Now firstly finding the value of Y using section formula

Y = [tex]\frac{my_{2}+ny_{1}}{m+n}[/tex]

where [tex]y_{1}[/tex]= 0, [tex]y_{2}[/tex]= 0, m= 2 and n=3

Now putting the value

Y = (2×0+3×0}/(2+3)

Y = 0/5

Y = 0

Hence, point F lie on 3/5 in the number line.

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Related Questions

on
de)
yi
19 Dados los siguientes pares de medidas, explica en cada caso cuál es más precisa y justifica
tus elecciones.
34 cm ± 0.10 cm
14
14.8 cm
22.8 +0.1 cm
34 cm ± 0.12 cm
14.85 cm
6.2 + 0.1 cm

Answers

Answer: no clue

Step-by-step explanation: i don't know Spanish lol

5/3=?x1/3
help please ASAP

Answers

The value of x is 5 for the given equation 5/3 = x/3.

What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

So, the equation is:

5/3 = x/3

Now, solve for x as follows:

5/3 = x/33x = 5 × 3 (Cros multiply)3x = 15x = 15/3x = 5

Therefore, the value of x is 5 for the given equation 5/3 = x/3.

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Correct question:

Solve for x. 5/3= x/3

Help Please!

Solve the inequality and graph it’s solution.

Answers

Answer:

  A)  n > 0

Step-by-step explanation:

You want the solution and graph for -8n +18 > -6(3n -3).

Solution

Eliminating parentheses, we have ...

  -8n +18 > -18n +18

Subtracting 18 gives ...

  -8n > -18n

Adding 18n, we have ...

  10n > 0

Finally, dividing by 10 gives ...

  n > 0

The graph is attached.

Juan always saves 30% of all his earnings. Last month he saved $141. How much did he earn last month?

Answers

Answer:

$470

Step-by-step explanation:

%30 of 470 = $141

Answer: $470

I hope it help

What is the distance from the origin to point P graphed on the complex plane below?

Answers

The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]

Given,

In the question;

From the figure,

To find the distance from the origin to point P graphed on the complex plane .

Now, According to the question:

To see the graph,

The point P lie on the x- axis and y - axis .

x = 2 and y = -5

We know the formula of distance,

Distance (d) = [tex]\sqrt{x^{2} +y^2}[/tex]

d = [tex]\sqrt{2^2 + (-5)^2}[/tex]

d = [tex]\sqrt{4 + 25}[/tex]

d = [tex]\sqrt{29}[/tex]

Hence, The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]

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bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?

Answers

The current age of Jenny is 6 years.

Let the current age of Phil be = x years

So the current age of Bill is = 2x years

The current age of Jenny is = 2x-2 years

Sum of their ages is = x+2x+2x-2 = 5x-2 years

Now the age of their dad is = 2(5x-2) = 10x-4 years

Now after nine years,

Age of Phil = x+9

Age of Bill = 2x+9

Age of Jenny = 2x-2+9 = 2x+7

Sum of their ages = x+9+2x+9+2x+7 = 5x+25

New age of their father = 10x-4+9 = 10x+5

According to question, the required linear equation to solve the question is,

5x+25 = 10x+5

5x = 20

x = 4

Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years

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This stem-and-leaf plot shows the number of Australian road fatalities in April for the years 2009 to 2019. Find the range of the data. Stem Leaf 7 2 889 9 10 11 15 4 1 2 6 1 3 4 3 Key 13 0=130​

Answers

Well i don’t understand the numbers you’ve given because I can’t see the actual diagram so I don’t know the numbers.

However the range is just the biggest number take away the smallest number.
Eg. 130-10=120
Range=120

Hope it helps

is y=7-3x a linear function

Answers

Answer:

no

Step-by-step explanation:

because the equation is supposed to be y=mx+b and the x comes after slope which is after m

Answer: Yes

Step-by-step explanation:

Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.

Kelly is trying to decide which plan to use to download songs. She can download 8 songs for $9.60 or 15 songs for $15.00. Which plan offers the lowest cost per song?

Answers

Answer:

The second plan ($15.00 for 15 songs) offers the lowest cost per song.

Step-by-step explanation:

The objective is to find the plan that provides the lowest cost per song.  "Lowest cost per song" is basically $/song.  So let's compare the two plans by calculating the cost per song.

Plan 1:  $9.60/(8 songs)    = $1.20/song

Plan 2: $15.00/(15 songs) =  $1.00/song

The second plan ($15.00 for 15 songs) offers the lowest cost per song.

Can you find the measure of the indicated angle and type the correct code? Please remember to type in ALL CAPS with no spaces,

Answers

From the figure

A. alternate interior angles:  1

B. same side exterior: 4

C. vertical: 4 and 3

D. same side interior: 3

E. obtuse angle: 1

F. adjacent angle pairs: 1 and 2

G. alternate exterior: 2

H. corresponding: 4

I. complimentary:

What are parallel lines?

parallel lines refer too lines that would never meet. When there is a pair of parallel lines with a transversal line like in the figure some angle theorems come into play  

some of the are used in the in the problem and definition of some them include

adjacent angles refer to angles that are next to each other, such angles are being demarcated by a line to the other angle. in the figure angle 1 and 2 alternate angles

Obtuse angles refers to angles that are more than 90 degrees but less than 90 degrees

vertical angles are angles opposite to each other, formed when two lines meet

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Two friends, Bo and Daniel, had just bought their first cars. The equation y = 31.5x
represents the number of miles, y, that Daniel can drive his car for every x gallons of
gas. Bo uses 9 gallons of gas to drive 256.5 miles in his car.

Answers

By using a linear equation, it is obtained that

Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =

3 miles

What is linear equation?

At first, it is important to know about equation.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The equation y = 31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas

Distance driven by Daniel in 1 gallon of gas = [tex]31.5 \times 1 = 31.5 \ miles[/tex]

Bo uses 9 gallons of gas to drive 256.5 miles in his car.

Bo uses 1 gallon of gas to drive [tex]\frac{256.5}{9}[/tex] miles in his car.

Bo uses 1 gallon of gas to drive 28.5 miles in his car.

Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =

31.5 - 28.5 = 3 miles

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Complete Question

The complete question has been attached here.

Please help! This makes no sense to me
Geometry A
Brainliest for correct answer!!

Answers

Refer to photo taken
Remember that a straight line equals 180 degrees
180 = 90 + 4x - 6
Combine like terms for
180 = 84 + 4x
Subtract 84 from both sides
96 = 4x
Divide both sides by 4
24 = x


lee went shopping with $60.50 . he bought 5 boxes of blue berries and 3 watermelons and had $16.50 left each watermelon cost $8.30

Answers

Assuming the question is : "how much does 1 box of blueberries cost?"

After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50

Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44

We are given the cost of 1 watermelon is $8.30

Therefore, 3 watermelons cost $8.30 x 3 = $24.90.

-> 5 boxes of blueberries cost $44 - $24.90 = $19.10

-> 1 box of blueberries cost $19.10 : 5 = $3.82

Answer:

If your trying to find the total of the 5 boxes of blue berries the answer is

$19.10

Step-by-step explanation:

60.50 - 16.50 = 44$ meaning he spent that much.

8.30 x 3 = 24.9

19.10 + 24.9 = 44

hope this helps

What is the equation of the line that passes through the point (-4, 3) and slope of 3/4

Answers

The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.

According to the question,

We have the following information:

We have the point (-4,3) and a slope of 3/4.

We know that the following formula is used to find the equation passing through any point:

(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4

y-3 = 3/4{x-(-4)}

y-3 = 3/4 (x+4)

Multiplying 3/4 into the bracket:

y-3 = 3x/4 + 3

Moving -3 from the left hand side to the right hand side:

y = 3x/4+3+3

y = 3x/4+6

Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.

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Jayce is a taxi driver.

M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.

What does the statement M(10) = K mean?

Choose 1 answer:

A

Jayce's fee for his Kth drive is equal to $10.

(B)

Jayce's fee for his 10th drive is equal to K dollars.

Answers

The correct answer is C. Jayce's fee for his 10th drive is equal to K dollars.

Based on the mentioned statements, n refers to the number of drives in a certain day. Additionally, it is mentioned that M(n) models the fee in dollars. As is seen in the equation, M(n) is equal to K. Thus, the fee in dollars is K dollars.

Now, as n is ten, thus the drive is tenth. And the fees for tenth drive is K dollars. So, the third option is correct, which states that Jayce's fee for his tenth drive is equal to K dollars.

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3x + 5y = 4
16x + 10y = 4
How can one number in the second equation be changed so the system has only one solution? Explain.

Answers

The way that one number in the second equation be changed so the system has only one solution is;  to divide each term by 2 to get the coefficient of y as 5.

How to solve simultaneous equations?

There are different methods to solve simultaneous equations such as;

Substitution MethodElimination MethodGraphical Method

We are given the equations as;

3x + 5y = 4

16x + 10y = 4

Now, we want to perform an operation whereby we make the second equation be changed so the system has only one solution. This method is the elimination method.

The elimination method is the process that we use to eliminate one of the variables in the system of linear equations with the aid of the addition or subtraction methods as well as multiplication or division of coefficients of the variables.

Now, since we have 5y in the first equation, the first step to carry out on the second equation is to divide each term by 2 to get the coefficient of y as 5.

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Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?

Answers

Answer:

your answer is [tex]27/60[/tex] and [tex]7/60[/tex]

To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?

A) The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
B) The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
C) The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.
D) The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

Any explanation would be greatly appreciated as well! <3

Answers

The plan that would give Genesis the lowest monthly payment is D. The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

How to calculate the payment?

From the information, the home improvement project that totals $16,000, and Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years.

The simple interest earned will be:

= Principal × Rate × Time / 100

= (16000 × 8 × 3)/100

= $551.11

The compound interest will be:

A = P(1 + r/n)^nt

A = accumulated amount

P = amount deposited

r = rate

n = times of compound per year

t = years

This will be:

A = 16000(1 + 0.15/12)^(12×7)

A = $540.78

Therefore the correct option is D.

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Jane paints a 2 1/3 wall with 2/3 can of paint joe paints 3 1/4 walls with 3/4 can of paint who paints a wall at a faster rate

Answers

Answer:

Jane paints faster if I may be correct

please help me with this math problem ​

Answers

answer: 1/3 + 1/6 = 2/6 + 1/6 = 3/6 or 1/2
explanation:
whatever you do to the denominator you have to do to the numerator so that the final value is still equal to the initial value.

To get 1/3 to 1/6, you have to multiple the denominator by 2, which means you also need to multiply the numerator by 2.

"6 more than 7 times the amount of 10"​

Answers

Answer: 76

Step-by-step explanation:

Based on the given conditions, formulate: 6+10*7

Calculate the product or quotient: 6+70

Calculate the sum or difference: 76

14 The equation u = 0. 99c shows the value of the U. S. Dollar compared to

the Canadian dollar on one particular day, where c = the value of the

Canadian dollar and u = the value of the U. S. Dollar. The table shows

the value of the U. S. Dollar compared to the Australian dollar on the

same day. Was the U. S. Dollar closer in value to the Canadian dollar or

the Australian dollar that day?

N

t

sed the

the unit

Australian Dollar

1

2

3

4

compare

U. S. Dollar

0. 95

1. 90

2. 85

3. 80

Show your work.

Answers

On that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.

Define the term comparison of numbers?In arithmetic, comparing numbers is described as the process or method of determining whether one number is smaller, bigger, or equal to some other number based on their values.

The equation u = 0. 99c depicts the value of the US dollar in relation to the Canadian dollar on a specific day.

c = the Canadian dollar's valueu denotes the value of the US dollar.

From the equation,

For  Australian dollar; (from table)

u = 0.95 c   -->

a = 1/0.95 u

a = 20/19 u

(20/19u - u)/ u = 1/19   ....1

For Canadian dollar:

u = 0. 99c

c = 1/0.99 u --> c = 100/99 u

Thus,

(100 u / 99 - u)/ u = 1/99  .....2

From 1 and 2]

1/19 > 1/99

Thus, on that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.

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The handle of a car jack is moved 75cm and the car is lifted 2.5 cm. What is the ideal mechnical advantage of this car
Jack?

Answers

The ideal mechanical advantage of this car Jack: 30cm

What is Ideal mechanical advantage?

The length of the effort arm of a lever divided by the length of the resistance arm represents the optimal mechanical advantage. The IMA is typically calculated as the resistance force (Fr) divided by the effort force (Fe). IMA is also equal to the product of the load's travel distance (dr) and the distance over which the effort is applied (de).

The Handle of the car jack = 75cm

The car lifted by the jack = 2.5cm

According to the formula:

Ideal mechanical advantage =  The resistance force /  The effort force

or, (Fr/Fe)

IMA = 75 / 2.5

IMA = 30cm

Hence, Ideal mechanical advantage of the car jack = 30cm

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2x + 3x equals to 20x find the value of x.​

Answers

Answer:

Here,

2x+3x=20x

or,5x=20x

or,5x-20x=0

or,15x=0(divide both sides by -15)

hence,x=0

a publisher reports that 45% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 300 found that 37% of the readers owned a particular make of car. determine the p-value of the test statistic. round your answer to four decimal places.

Answers

The test statistic's p-value is -2.785.

According to A publisher, 45% of its readers own a particular make of car.

Claim: An executive in marketing would like to test the claim that the percentage is different from what is reported.

[tex]H_{o}[/tex]: p = 0.45

[tex]H_{a}[/tex]: p ≠ 0.45

a random sample of 300 found that 37% of the readers owned a particular make of car.

= 37% × 300

= (37 ÷ 100) × 300

X = 111

n= 300

One sample proportion test should be used.

p-vector = x ÷ n,

p-vector = 111 ÷ 300

p-vector = 0.37

The test statistic's formula,

= [tex]\frac{p-q}{\sqrt{\frac{pq}{n} } }[/tex]

test statistic = [tex]\frac{0.37- 0.45}{\sqrt{\frac{0.45(1-0.45)}{300} } }[/tex]

≈ -2.7851

thus, the p-value of the test statistic is -2.7851.

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3b(2x-z^3)=2h-7gx change the subject to x

Answers

Answer:

Step-by-step explanation:

3b(2x - z^3)  = 2h - 7gx      Distribute 3b

6bx - 3bz^3 = 2h - 7gx      Add 3bz^3 to both sides

6bx = 3bz^3 + 2h - 7gx    Add 7gx to both sides

6bx + 7gx = 3bz^3 + 2h     Factor left side, factor out a gcf of x

x(6b + 7g) = 3bz^3 + 2h     Divide both sides by (6b + 7g) to isolate x

x = (3bz^3 + 2h)/ (6b + 7g)

help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds

The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. What expression could you create from that problem?

Answers

Options C and E are correct. The expression can be written in the forms of

C. 10.5(12 + x) square feetE. (126 + 10.5x) square feet

How to solve for the expression

We have the length of the room as 12 feet

The width of the room = [tex]10\frac{1}{2}[/tex] feet

The expansion of the = 12 +x

What is the area of a rectangle?

The area of a rectangle is given as lw = length x width

Hence we would have the following:

(12+x)10.5 = area

We would have to open the bracket as well

126 + 10.5x

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Complete question

1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

A biker travels down the street at 15 m/s. It
takes 60 seconds to travel to the end of the
street. How long was the street?

Answers

The street was 900m long when the speed is 15m/s and, the time is 60 seconds.

What is meant by distance, speed, and time?

To calculate speed, divide the distance traveled by the time it took to complete the voyage, so speed = distance divided by time. To determine the distance, multiply the speed by the passage of time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.

Distance divided by time equals speed. Distance = time * speed

To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.

Given,

Speed of the biker who travels down the street=15m/s

Time taken=60seconds

Distance=?

We know that,

Distance=Speed× Time

Distance=15×60

Distance=900m

Therefore, the street was 900m long

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Consider the following conjecture.
There are no prime numbers between 7,608 and 7,620
How could this statement be shown to be true or false? Would it still be a conjecture if no counterexample were found? Explain

Answers

There  are no prime numbers between7,608 and 7,620

A prime number is a whole number greater than 1 whose only factors are 1 and itself

The numbers between 7608 and 7620 are:

7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619

Here we have to check these numbers are prime number or not

Prime factorization

7609=7×1087

7610=2×5×761

7611=3×43×59

7612=2×2×11×173

7613=23×331

7614=2×3×3×3×3×47

7615=5×1523

7616=2×2×2×2×2×2×7×17

7617=3×2539

7618=2×13×293

7619=19×401

Hence, proved that there are no prime numbers between7608 and 7620

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Why would slave states be in favor of counting slaves as part of their total population?. a pregnant patient with anemia has been prescribed an iron supplement. the nurse determines that the patient is also using antacids for heartburn and advises the patient to discontinue this practice. which rationale supports this instruction to the patient? in the decline stage of the industry life cycle a. the product may have reached obsolescence. b. the industry will grow at a rate less than the overall economy. c. the industry may experience negative growth. d. a and b only. e. a, b, and c. in order to assess a company's financial risk, investors and creditors frequently consider and analyze the company's: Solve the absolute value equation (3x-6)=12.O aObOcOdx=6,x=2x=-6, x=-2x=6x=-2x=-6x=2 Please help! 10 points:Compile a scientific report from your hypotheses, observations, data, inferences, and conclusions. Be sure to answer the questions below in your summary and include your personal findings.EXPERIMENTSupplies needed: sugar, beaker or dish, water, stirring rod or teaspoonInstructions:1. Place several teaspoons of sugar in a small beaker half full of water, and stir until the water is clear.2. Pour some of the solution into a dish. Set the dish on a shelf or a windowsill. Observe the dish for a day or two. Record what you observe.Compile a scientific report from your hypotheses, observations, data, inferences, and conclusions. Be sure to answer the questions below in your summary and include your personal findings.What did you observe after the solution set in the dish for a day or two?What kind of change (physical or chemical) occurred in this experiment?How do you know the kind of change?What happened to the sugar?Name another mixture that could be separated in this way.What did you find out from this experiment? Be thoughtful in your answer. Without the circulatory and respiratory systems, human bodies would not survive. Both systems play major roles in providing our bodies with what they need. They work individually as well as together to keep us alive and healthy,Which four statements describe functions of the circulatory system?ResponsesA Part of this system filters air as it enters the body.Part of this system filters air as it enters the body.B This system's organs passes oxygen into the bloodstream.This system's organs passes oxygen into the bloodstream.C This system plays a major role in fighting infections.This system plays a major role in fighting infections.D Oxygen is delivered to cells throughout the body by this system.Oxygen is delivered to cells throughout the body by this system.E Carbon dioxide exits the body through this system.Carbon dioxide exits the body through this system.F This system takes in oxygen from air outside the body.This system takes in oxygen from air outside the body.G This system removes carbon dioxide from organs and delivers it the lungs.This system removes carbon dioxide from organs and delivers it the lungs.H Nutrients are delivered to organs through this system.