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.

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Related Questions

help plz explain how to use discributive property

Answers

1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.

2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.

3.Multiply every term in the equation by the LCM.

4.Isolate variables adding or subtracting like terms on both sides of the equals sign.

5.Combine like terms.

6.Solve the equation and simplify, if needed.

you would write two numbers adding or subtracting eachother in parentheses then a number on the outside and you take the number on the outside and multiply it by both the numbers in the parentheses then you’ll have two numbers adding or subtracting eachother for example 2(10+8) then you’d get 20+16 witch is also your problem

Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation

Answers

Let:
T=age of Tina
Y= age of Tom
Work:
Y=5+T
T=28 yrs
Y=23
I’ll let I find the equation:)

Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.

Week Mass (grams)
(start) 80
1
2
3
4

Answers

Answer:

Week 1 = 80

Week 2 =88

Week 3 = 96.8

Week 4 = 106.48

Week 5 = 117.128

Step-by-step explanation:

Given

Week 1 = 80

Growth = 10%

Required

Fill week 1 to 5

We have week 1 already.

Week 2 is calculated as thus:

Week 2 = Week 1 + 10% * Week 1

Week 2 = 80 + 10% * 80

Week 2 = 80 + 8

Week 2 = 88

Week 3 is calculated as thus:

Week 3 = Week 2 + 10% *Week 2

Week 3 = 88 + 10% * 88

Week 3 = 88 + 8.8

Week 3 = 96.8

Week 4 is calculated as thus:

Week 4 = Week 3 + 10% * Week 3

Week 4 = 96.8 * 10% *96.8

Week 4 = 96.8 + 9.68

Week 4 = 106.48

Lastly, week 5 is calculated as thus:

Week 5 = Week 4 + 10% * Week 4

Week 5 = 106.48 + 10% * 106.48

Week 5 = 106.48 + 10.648

Week 5 = 117.128

I need lots of help​

Answers

Answer:

with what

Step-by-step explanation:

Waters added or drain from a tank each day the first day 13/10 of a gallon is added to the empty tank the second day 11/10 of a gallon is drained from the tank the third day 12/10 of a gallon is added to the tank the fourth day 1 gallon is drained from the tank the amount of water in the tank after 15 days is given by

Answers

Answer:

2 gallons

Step-by-step explanation:

You have to find the pattern of adding and draining water for 15 days. To get there you need to subtract 2 and add 1 but keep the negative/positives the same i.e. (this is for the 10ths of gallons)

13-2=11

11+1=10

keeping the pattern for 15 days:

+13, 11,+12,-10,+11,-9,+10,-8,+9,-7,+8,-6,+7,-5,+6 = 20 (10ths of gallons)

20/10 = 2

Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope is m, and the y-intercept is y. The slope is x, and the y-intercept is b. The slope is b, and the y-intercept is m. The slope is m, and the y-intercept is b.

Answers

Answer:

The slope is m, and the y-intercept is b.

Step-by-step explanation:

What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.

Evaluate the expression of X = 3

Answers

Answer:

x=3

Step-by-step explanation:

x=3, there is no formula or anything...

Tyler has 2 dogs and 7 fish. What is Tyler's ratio of fish to dogs?

Answers

Answer:

2:7

Step-by-step explanation:

Answer:

2:7

Easy.

Come on bro this is like one of the easiest questions in the world

Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90
Rel freq: 0.179 0.168 0.174 0.135 0.193 0.071 0.051 0.029
Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
B. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
C. No, the proportion of sampled angles smaller than 15° is greater than 0.50.
D. No, the proportion of sampled angles smaller than 15° is not greater than 0.50.

Answers

Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.

Step-by-step explanation:

Given the data :

Class: _______ relative frequency

0−<5 __________ 0.179

5−<10 __________ 0.168

10−<15 _________ 0.174

15−<20 _________ 0.135

20−<30 _________0.193

30−<40 _________ 0.071

40−<60 _________ 0.051

60−<90 _________ 0.029

Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :

Class: ________frequency

0−<5 __________ 0.179

5−<10 __________ 0.168

10−<15 _________ 0.174

Summing up the relative frequency values :

(0.179 + 0.168 + 0.174) = 0.521

0.521 * 100% = 52.1%

Hence, more than 50% of the sampled angles are smaller than 15°

x + 4x + 4 - 8x


please help

Answers

Answer:

The answer is -13x+4

-13x+4 is the answer

Choose all numbers that are divisible by 2

Answers

Answer:

91066

32626

Are the only answers there

Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?

Answers

Answer:

at 5 hours he will have traveled 400 mi

Step-by-step explanation:

320÷4= 80

320=4, then 400=5

hope this helps

to bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar. How many grams of sugar would he need to bake 10 cookies?​

Answers

answer:35 grams

explication: because if he need 350 grams of sugar to make 100 cookies , we have to divide 350 by 100 so it gives 35

The number of grams of sugar would he need to bake 10 cookies will be 35 grams.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

To bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar.

Let x be the amount of sugar for 10 cookies.

The number of grams of sugar would he need to bake 10 cookies will be

x / 10 = 350 / 100

x / 10 = 3.5

x = 35 grams

The number of grams of sugar would he need to bake 10 cookies will be 35 grams.

More about the ratio and the proportion link is given below.

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Find a pair of numbers with

1. a sum of 40 and a product of 400

2. a sum of 15 and a product of 54​

Answers

The correct answer:

1. Those numbers would be, 20 and 20

20 + 20 = 40
20 x 20 = 400


2. Those numbers would be:

9 + 6 = 15
9 x 6 = 54


I hope this helps!!

7th grade help me pleasee

Answers

Answer is 16 because 27 plus (-11) equals 16

What is 0.22778 as a percentage

Answers

Answer:

22.778%

Step-by-step explanation:

0.22778/1*100/100=22.778/100

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}

Answers

Answer:

The number of yards of silk = x = 1.5 yards

The number of yards of cotton = y = 2.75yards

Step-by-step explanation:

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning

{x+y=4.25} ; {16.90x+4y=36.35}

Let the number of yards of silk = x

The number of yards of cotton = y

We are given the system of equations:

{x+y=4.25} ......Equation 1

x = 4.25 - y

{16.90x+4y=36.35}....... Equation 2

4.25 - y for x in Equation 2

16.90(4.25 - y) + 4y = 36.35

71.825 - 16.90y + 4y = 36.35

71.825 - 36.35 = 16.90 - 4y

35.475 = 12.90y

y = 35.475/12.90

y = 2.75 yards.

The number of yards of cotton = y

{x+y=4.25} ......Equation 1

x = 4.25 - y

x = 4.25 - 2.75

x = 1.5 yards

The number of yards of silk = x = 1.5 yards

The yards of silk bought is  1.49 yards and the yard of cotton bought is 2.76 yards.

The two equations are known as simultaneous equation. They would be solved using elimination method.

x + y  = 4.25 equation 1

16.90x + 4y = 36.25 equation 2

where:

x = yards of silk bought

y = yards of cotton bought

In order to determine the value of x, multiply equation 1 by 4.

4x + 4y = 17 equation 3

Subtract equation 3 from 2

19.25 = 12.90x

Divide both sides of the equation by 12.90

x = 1.49 yards

In order to determine the value of y, substitute for x in equation 1

1.49 + y = 4.25

y = 4.25 - 1.49

y = 2.76 yards

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Find the slope of the line through the pair of points: (6,12) and (-6, -2)

Answers

Answer: The answer would be 1

Step-by-step explanation:

Rise over run or fall over run so the fall is 10 and run is 10 and 10/10 is 1.

I agree with the person above

7th grade math help me plzzz

Answers

Answer:

[tex]b. \: \frac{1}{10} ......series[/tex]

The 3rd one is the one i think

7th grade math help me plzzzz

Answers

Answer:

B.

Step-by-step explanation:

Answer:

0.05 per ounce

Step-by-step explanation:

5.20 per 40 is 0.13 per ounce

whereas

2.70 per 15 is 0.18 per ounce

5x - 12=18
Solve for x

Answers

X=6
Pls mark brainliest

Answer:

x = 6

Step-by-step explanation:

Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6

I hope this helps!

CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please

Answers

Answer:

yes yesss yessssssssssssssssssssssssssssssssssss

What is the converse of the conditional statement?
If x is even, then x + 1 is odd.

A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.

Answers

Answer:

If x+1 is odd, then x is even B

Step-by-step explanation:

Conditional: If p, then q

Converse: If q, then p

p= x being even

q, x+1 being odd.

y=12x^2-9x+4 does this have one two or no solution

Answers

2 solutions because there are 2 parts to the question to figure out .

domain: {4, 0} range: (-2, 0, 2}
b. domain: {4, 0, 4} range: (-2, 0, 2}
domain: (-2, 0, 2), range: {4,0}
d. domain: (-2, 0, 2), range: {4, 0, 4}

Answers

Answer:

C

Step-by-step explanation:

I believe the answer is C

In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.

Answers

Answer:

6.5

Step-by-step explanation:

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

From reference sheet.

\text{Find other angle:}

Find other angle:

\angle T=180-71-36=73^{\circ}

∠T=180−71−36=73

T

U

V

t = 6.6

u = ?

71°

36°

73°

\frac{u}{\sin 71}=\frac{6.6}{\sin 73}

sin71

u

=

sin73

6.6

Plug in. Opposite sides go together.

u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5

u=

sin73

6.6sin71

≈6.526≈6.5

Solve for the side and evaluate.

Answer:

6.5

Step-by-step explanation:

deltamath

Question:
x = __ degrees

Answers

Answer:

80°

Step-by-step explanation:

Because a straight line always is equal to 180°

so 180 - 100 = 80

Your answer is 80.

Pls consider marking my answer as Brainliest! It would mean a lot!

Which set of ordered pairs does not represent a function?

\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}

Answers

Answer:

the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .

Use the slope formula to determine the slope of the line.
(6,7) (9,9)

Answers

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

9-7/9-6

2/3

Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.

Answers

Answer:

g=-2t+12

Step-by-step explanation:

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.

The slope of the equation will be

⇒ (12 - 4) / 4

⇒ 8 / 4

⇒ 2 gallons per hour

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be

G = 12 - 2t

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.

More about the linear equation link is given below.

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