The number of kilograms of water in a human body varies directly as the mass of the body. An 84-kg person contains 56 kg of water. How many kilograms of water are in a 63-kg person?
kg of water are in a 63-kg person.

Answers

Answer 1

Answer:

42

Step-by-step explanation:

To find the amount of water in a 63-kg person you must first find the unit rate in an 84-kg person.

84 ÷ 56 = 1.5

1.5 is how much human body weight there is as a unit rate over 1-kg of water.

1.5 x 56 = 84, so this shows we are correct.

84 ÷ 1.5 = 56, so that goes even further to prove you are correct.

Now, what's the amount of water in a 63-kg person?

1.5 is the unit rate we found out was used, so it should still be proportional.

63 ÷ 1.5 = 42.

Indeed, it is proportional. You are correct.

The answer is 42.

Answer 2

There is 42 kg of water in a 63 kg person.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

We have,

The number of kilograms of water in a human body varies directly with the mass of the body.

This means,

W ∝ M

Where W is the kg of water and M is the mass of the body.

Now,

W = KM

W = 56 kg

M = 84 kg

So,

56 = 84K

K = 56/84

Now,

For M = 63,

W = KM

W = 56/84 x 63

W = 42

Thus,

There is 42 kg of water.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2


Related Questions

What is the probabiWhich value cannot represent the probability of an event occurring?
StartFraction 1 over 100 EndFraction
0.29
85%
Three-halflity of an event that is certain?

Answers

Given problem:

   Which value cannot represent the probability of an event occurring?

      Values:

            [tex]\frac{1}{100}[/tex]    0.29    [tex]\frac{85}{100}[/tex]   Three-halflity

Probability is the likelihood of an event to occur.

For an event that we are sure of occurring, the probability value is 1, and those that cannot occur have a probability value of 0.

  The probability of any event is usually a fraction between 1 and 0.

So we can see that the odd one is the  Three-halflity which is clearly greater than 1.

Answer:

D 3/2

Step-by-step explanation:

Help me ASAP please !!!! I attached a pic

Answers

x^3 would be equivalent to that expression!

Heather wants to purchase an electric guitar the price of the guitar with tax is $2,240.if she can save $90 per month how linf will it take her to save up for the guitar

Answers

Answer:

25

Step-by-step explanation:

angles 2 and angle 7 are ??? angles​

Answers

Answer:

D alternate exterior angle

Step-by-step explanation:

Answer:

vertical angles

vertical angles are congruent angles located diagonally opposite each other.

what is 1555 times 67

Answers

Answer:

104185

Step-by-step explanation:

Answer:

104,185

Step-by-step explanation:

There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use.

Required:
Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.

Answers

Answer:

There are 720 possible sequences of assembly that must be tested.

Step-by-step explanation:

We are given that;

No. of wires needed to be attached to a circuit board = 6

We want to find the number of possible sequences of the assembly that must be tested.

From multiplication rule of counting;

Number of possible sequences of the assembly = 6!

1st selection of wire = 6 possible choices

2nd selection of wire = 5 possible choices

3rd selection of wire = 4 possible choices

4th selection of wire = 3 possible choices

5th selection of wire = 2 possible choices

6h selection of wire = 1 possible choice

Thus,

number of possible sequences = 6 × 5 × 4 × 3 × 2 × 1 = 720

Thus, there are 720 possible sequences of assembly that must be tested.

3.99 x 10^-2 - 1.5 10^-3


put it in scientific notation

Answers

Answer:

its 3.45 x 10^5

Step-by-step explanation:

The solution of the given expression will be 3.84 x 10⁻².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-

E = 3.99 x 10⁻² - 1.5 x 10⁻³

E = ( 3.99 x 0.15 ) x 10⁻²

E = 3.85 x 10⁻²

Therefore, the solution of the expression is 10⁻².

To know more about an expression follow

https://brainly.com/question/10411104

#SPJ5

Calvin is starting a new job this summer. He has created a table to represent his earnings, which are dependent on the number of hours he works. Write an equation to represent y, Calvin’s total earnings based on x the number of hours he works. * PLEASE HELPPP!!!!!!

Answers

Answer:

I think its 232.5

Step-by-step explanation:

Divide 3 by one then multiply that by 15.

Answer:

how much does he make in a hour

Step-by-step explanation:

Help my daughter please k gtg

Answers

Answer:

5.7, 4.6, 5.6, 6.7

Step-by-step explanation:

Answer:

2.63+3.07= 5.7

9.4-4.8= 4.6

3.92+1.68= 5.6

8.5-1.8= 6.7

Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold

Answers

Answer: 21 cupcakes and 33 cookies were sold.

Step-by-step explanation:

Let x= Number of cupcakes

y = Number of cookies

As per given,

x+y= 54       (i)

Cost: 2.25x+0.25y=55.50          (ii)

Multiply 0.25 to (i0, we get

0.25x+0.25y = 0.25(54)

⇒0.25x+0.25y = 13.5         (iii)

subtract (iii) from (ii), we get

2x=42

Divide both sides by 2, we get x= 21

Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33

Hence, 21 cupcakes and 33 cookies were sold.

The college tutoring center staff are considering whether the center should increase the number of math workshops they offer to help students improve their performance in math classes. Faculty would like to know if requiring student attendance at these math workshops will improve overall passing rates for their students in their math classes. They plan to use the number of workshops attended to predict the final exam score and regression analysis to determine the effectiveness of the mandatory workshop attendance policy.

For each of the following classify the variable as explanatory, response, or neither.

a. Whether the student attended a workshop.
b. Number of workshops attended
c. Whether the student passes the course

Answers

Answer:

a. Whether the student attended a workshop.   Neither

b. Number of workshops attended.  Explanatory variable

c. Whether the student passes the course. Response variable

Step-by-step explanation:

In a given experiment, the response variable addresses the core of the question that was asked. In the experiment above, we are trying to determine the passing rate. That is the response variable. The explanatory variable provides an explanation for the response.

The number of workshops attended by the students would provide an explanation of their passing rates.  Whether the student attended a workshop is not a consideration in the experiment, because it is believed that they would attend the workshop.

The graph of a linear function is given below.

What is the zero of the function
A. -5
B.2/5
C.2
D.5/2

Answers

Answer:

A. - 5

Step-by-step explanation:

Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.

complete the pattern 444 4440 44,400 444,000 ______ _______ what goes on does 2 spots

Answers

Answer:

4440,000 and 44.400,000

Step-by-step explanation:

All you do is add another zero to the end

An insurance policy sells for $800. Based on past data, an average of 1 in 50
policyholders will file an $8,000 claim, an average of 1 in 100 policyholders will file
a $20,000 claim, and an average of 1 in 250 policyholders will file a $50,000 claim. Find
the expected value to the company per policy sold.

Answers

Answer: i needed this question too!

Two side of a triangle have the following measures. Find the range of possible measures for the third side.

8, 9



_______ < x < _______

Answers

Answer:

8<x<9

Step-by-step explanation

4 divied by 217 long divisions

Answers

Answer:

Step-by-step explanation:

Answer: 0.018 or not simplified: 0.01843317972

     0. 0 1 8

2 1 7 4. 0 0 0

   − 0      

     4 0    

   −   0    

     4 0 0  

   − 2 1 7  

     1 8 3 0

   − 1 7 3 6

         9 4

A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?

Answers

Answer:

A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?

4z-10=14 *
I can’t get the answer please help

Answers

Answer:

z = 6

Step-by-step explanation:

4z - 10 = 14

    + 10   +10

4z = 24

24 ÷ 4 = 6

n = 6

We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.

Answers

Answer:

An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

Step-by-step explanation:

We know that :

[tex]a_x=\frac{dv_x}{dt}[/tex]

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]

So, We will use chain rule over here :

[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]

Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]

Chain rule:

Here we used the chain rule:

It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).

So,

[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]

Learn more about time here: https://brainly.com/question/11325462

help me pleeeaseeee​

Answers

Answer:

-2

Step-by-step explanation:

6 is added to three-fifths of p

Answers

Answer:

Is that the question? I don't think it is

I’m confused ? Is that the question ?

solve for n: 10/60 =n/84

Answers

Answer:

n=14

Step-by-step explanation:

I need help with homework in GoMath, 5th Grade, Lesson 2.5

Answers

Can you show a photo of the lesson you need help with

hello please help will give brainliest!

Answers

Answer:

420

Step-by-step explanation:

Answer:

A. 420

Step-by-step explanation:

nice

F(4) for the function f(x)=2x+5

Answers

Answer:

= 13

Step-by-step explanation:

Use direct substitution:

2(4)+5 = 13

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.
a) Is f'(t) positive or negative? Why?
b) What are the units of f'(35)?
c) Suppose that |f'(35)| = 1.5 and f(35) = 68. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case.
At ____ minutes after the coffee was put on the counter, its temperature is ____ and will ____ by about ____ in the next 30 seconds.

Answers

Answer:

a

    f'(t) is  negative

b

 The  unit is degC/min

c

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         [tex]H= f(t)[/tex]

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        [tex]|f(35)'| =  1.5[/tex]

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         [tex]|f(35)| =  68[/tex]

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  [tex]\frac{30}{60}= 0.5 \ minutes[/tex] the  rate  of change of the temperature of the cup of  coffee is  

          [tex]R =  |f(35)'| *  t[/tex]

=>        [tex]R = 1.5  *  0.5 [/tex]

=>        [tex]R = 0.75  [/tex]    

So

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.  

     

The value of f'(t)  is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.

The units of  f'(35) = degC/min.

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.    

Given

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.

1. The value of f'(t)  is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.

2. What are the units of f'(35)?

The units of  f'(35) = degC/min.

3. At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.    

At ║f'(35)║ = 1.5 and f'(35) = 68

|f'(35)| = 1.5 represents the rate of change of temperature every 35 minutes = 1.5.

To know more about Temperature click the link given below.

https://brainly.com/question/16045110

-1/2(-2x+4y) someone expand this pls

Answers

Answer:

-1/2(-2x+4y)=

x-2y

let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

Multipy (2x + 4 (x - 4)




Zzz

Answers

Answer:

6x−16

Step-by-step explanation:

Is this relation a function? Justify your answer.

Please help me!! 5:45pm est! Answer as soon as you can!

Answers

Answer:

D

Step-by-step explanation:

Other Questions
Solve for x in the equation x squared minus 10 x + 25 = 35 What is the main purpose of the Northwest Ordinance? List all territories that becamestates. in the real world humans hear sound as an analog signal. this means the signal is a continuous waveform which is completely processable by human ears. however machines 'hear' sound a little differently as they process sound digitally which is a discrete waveform. when sound is recorded or transmitted electronically the continuous (analog) waveform is sampled to convert it to a discrete (digital) sequence. sampling is the process of reducing a continuous time signal to a discrete-time signal. as the sampling rate increases the sound quality of the recording or transmission will improve. the graphs below represent two different samples of pure tone. sample one is taken 8 times per unit of time. sample two is taken 16 times per unit of time. a) why would sample 2 reproduce a better replication of the pure signal? b) write a sinusoid model for sample 2 What was the song dynasty known for The two triangles shown are similar. Find the value of a/b chris is comparing two music downloading websites. the first site charges a $15 membership fee and then charges $0.50 per song. the second website has no membership fee, but they charge $0.80 per song. how many songs will chris have to download before the two sites charge the same amount Nate's work to solve a math problem is shown below.Problem: Leona traveled 25 miles in 2/3 of an hour. What was her average speed in miles per hour?Step 1: 25 divided by 2/3=rStep 2: 1/25 x 2/3=rAnswer: 2/5=rWhat was Nate's first error?A.He used division instead of multiplication to model the problem in step 1.B.He switched the divisor and the dividend when creating an equation to model the problem in step 1.C. He replaced the wrong term with its reciprocal in step 2.D.He should not have changed division to multiplication in step 2. The pitcher struck out two batters, but the third batter hit a home run. Compound or complex How can we gather more evidence about weather lava or water formed the channel on Mars This details from this excerpt provide evidence that O the Queen is a kind ruler. O the people of the mirror world enjoy jam. O Alice understands the Queen's rules. O rules in the mirror world defy logic. please help Which sentence from the passage best expresses the main idea of paragraph 2? A. "Parkour has become a popular art form in many cities around the world due to the many obstacles located around urban settings." B. "Traceurs, who pit their bodies against various types of obstacles, often risk physical injury, and safety is an important concern." C. "The ultimate goal of parkour is for a person to mentally and physically prepare to overcome any obstacle he or she may face." D. "While practicing parkour, a traceur route may take him or her over a large boulder, across several rooftops, or across the top of a wall."Study island work Plz help Which statement best expresses the central idea of the speech for MALALA YOUSAFZAI'S ADDRESS TO THE UNITED NATIONS, JULY 2013. A Taliban terrorists are using violence to spread fear and control regions in Pakistan. B World leaders are the people most able to create change that will help women access education. C Education is the most effective tool to improve the world and end inequality. D Islam is a peaceful religion that supports equal rights, access to education, and freedom for all. which proof has a flaw? ( i need help in my geometry class, and will give brainliest answer if is correct!!) please help :) Mr. Thomas drove from Banesville to Tempe and back.How many miles did he save driving this route instead of drivingfrom Banesville to Georgetown to Tempe and back the same way?Please HELP Please select the word from the list that best fits the definition This activity lets you hear the information What are three facts or beliefs about monarchists\conservatives? A- benefits of a free enterprise economy B- challenges of a communist economy C- characteristics of a traditional economy D-pros and cons of a socialist economy Think about the proportion and the cross products for this problem:Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Examine the illustration.Which structure in the cell contains the cell's geneticinformation?ABCD Use distributive property to write the expression as a product: 8 4y + 22+ 7y =