A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?

Answers

Answer 1

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = [tex]\frac{1}{4}[/tex]×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ [tex]\frac{1}{4}[/tex]×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = [tex]\frac{2.4}{3}[/tex] = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg


Related Questions

The algebraic expression for the price of a shirt discounted by 20%.

Answers

step one is to convert the percentage to a decimal. A 20 percent discount is 0.20 in decimal format. Next , multiply the decimal discount by the price of the item to determine the savings in dollars.
(need more information?)

HELP WHATS THE CIRCUMFERENCE OF THISSSSS

Answers

Answer:

Radius is 87.96

Step-by-step explanation:

Answer:

C = 87.92 in.

Step-by-step explanation:

Circumference of a Circle:  C=2(Pi)r

C = 2(3.14)(14)

C = 2(43.96)

C = 87.92

Liz increased the prices of menu items 5% from last month. If a fresh-squeezed lemonade was priced at
$
2.80
last month, what is the new price?

Answers

Answer:

2.94 cause 5% of 2.8 is .14

Lawrence deposits 512$ in saving account that earns 1.5% commission how much money would be in his account after 2 years

Answers

Answer:

$519.68

Step-by-step explanation:

(512$ × 1.5)/100

=$7.8

512$+ $7.8

= $519.68

What shape is made by rotating the triangle around line M?
Cylinder or cone?
Radius of 5 or Diameter of 5?

Answers

Answer:

A cone with radius = 8

Step-by-step explanation:

If you spin the triangle around to make a 3D object it would make a cone because of the point on top. If you looked at this cone from top down to make a circle, it would have a radius of 8 and not a diameter of 8 because the diameter would be 16.

Need help with this.​

Answers

Answer:

try restart it and charge it to the max and then try change the internet source likeopen hotspot and see



Write the equation of the line perpendicular to y = -31 - 1 that passes through the point (3,4).

Answers

y= (1/3)x+3

Step-by-step explanation:

i think u mean y= -3x-1

the line perpendicular to the given line is -3.m2= -1

m2=1/3 y-4=1/3(x-3)

y= (1/3)x+3

Hiro painted his room. After 3 hours of painting at a rate of 8 meters per hour, he head 28 square meters left to paint.

Answers

Answer:

3 hours x 8 meters = 24 meters + 28 meters = 52 meters

52 / 3 = 17 and 1/3 hours.

Brainiest plz?   :)

Paint cost $19.95 per gallon. Nikki needs 10.25 gallons to complete a painting project. How much will Nikki spend on paint? Remember to ground the nearest penny.

Answers

Answer: it depends. If you can buy the paint by the quarter gallon (because she needs 10.25 gallons) then 19.95 x 10.25 = $ 204.49

If she cannot buy the partial paint she needs then she would have to buy 11 gallons :

19.95 x 11 = $219.45

Step-by-step explanation:

Please hurry. Need done fast.

Answers

Answer:

Step-by-step explanation:

Remark

You could use a formula to solve this

Cost per pound = Total Cost / # pounds

Problem One

Cost per pound = ?

Total Cost = 13.46

# pounds = 3.47

Solution

Cost per pound = 13.46/3.47 = 3.88 dollars / pound

Problem Two

Total Cost = 18.75

# pounds = 5.15

Solution

Cost per pound = 18.75 / 5.15 = 3.64 dollars / pound

At the mall in Miami, Roberto found a jacket he liked. The normal price was $120, but the jacket was on sale for 40% off. If Roberto has $50 to spend, does he have enough to buy the jacket? If not, how much more money does he need?

Answers

Answer: No,   He will need $22 to add to his money to  buy jacket.

Step-by-step explanation:

Normal price  of jacket =$120,

New price = 40% off  which means 40% Less than the Normal price

 = 40/ 100 x 120

=0.4 x 120 = 48; 120 -48= $72

New Price = $72

Therefore Roberto with $50 to spend does not have enough to buy the jacket

He will need $72- $50 =$22  to add to his money to  buy jacket.

I need some help please asap

Answers

Let the "number" in these statements be x

2x + 8 = 8

2x = 0

x = 0

7 - 3x = 40

-3x = 33

x = -11

Simplify: (10 – 3)? – 6 + 2(8 - 64

Answers

Answer:

7=?

Step-by-step explanation:

( 10 − 3 ) ? − 6 + 2 ( 8 ) − 64 7=?− 6 + 16 − 64 Simplify by adding and subtracting. 7=?−54

Answer:7x - 118~I'm not sure what you're trying to solve- But if you are trying to solve for '?' then you would have to write it as a variable such as 'x' instead of '?'. If you are trying to solve for '?' then the equation should look like this:(10 – 3)x – 6 + 2(8 - 64) ~

The answer would end up being simplified to ' 7x - 118 '

~

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more!

So please don't let anyone say otherwise, there are so many people in this world who love you.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

~

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

~

9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!


Write a rule for the linear function shown in the graph.


A. y = -x + 4

B. y = 4x - 3

C. y = 1/4x + 1

D. y = 2x + 5

Answers

it’s d pls trust!!! i am correct

Answer:

D. y - 2x + 5 ........................... I graphed every answer and this is the one that looks the same to yours

Step-by-step explanation:

Input Data :

x1 = 2, y1 = 4, x2 = 3, x3 = 7, y3 = 8

Objective :

Find the value of y2 on a given line?

Formula :

y2 =

(x2 - x1) x (y3 - y1)

(x3 - x1)

+ y1

Solution :

y2 =

(3 - 2) x (8 - 4)

(7 - 2)

+ 4

=

(1) x (4)

(5)

+ 4

=

4

5

+ 4

= 0.8 + 4

y2 = 4.8

I am not good at this at all. Help please

Answers

The Perimeter is 238! Have a good day:)

Answer:

The perimeter of the larger octagon is 238.

Step-by-step explanation:

Multiply the perimeter of the smaller octagon by 7.

34 x 7 = 238.

HELP PLZ HELP ASAP ASAP

Answers

Answer:

porportional

Step-by-step explanation:

Find the probability of rolling a 3 when you toss two fair 6-sided dice and add the result from each die.

Answers

Answer:

would it be 2/12 or 1/6 of a chance of getting a three

Someone pls help me on this it’s timed

Answers

the answer is -3:) the y intercept is always the same as c in the equation

Sarah started her diet on January 1st at 198 pounds. By the end of the year, she weighed 112 pounds.

Answers

Sarah used to weigh 310 pounds. She lost so much in a year woah

4x + 3y = 24 and 4x - 3y = 12

Answers

Answer:

(4.5, 2) (If you are looking for the point)

y = 2 (if you are looking for Y)

x = 4.5 or 18/4 (if you are looking for X)

Step-by-step explanation:

4x + 3y = 24 and 4x - 3y = 12

Lets do the elimination method for this

4x + 3y = 24

4x - 3y = 12

minus the equations from each other and we get 6y = 12, divide both sides by 6 and we get y = 2

We insert 2 into the y's in one of the equations, most preferably the easiest one so we are going with the second one.

4x-3y=12, replace y with 2 and we get 4x-3(2)=12

simplify that equation and we get 4x-6=12, add 6 to both sides and we get 4x=18, divide both sides by 4 and we get x = 4.5 (or 18/4)

The answers are

y = 2 (if you are looking for Y)

x = 4.5 or 18/4 (if you are looking for X)

(4.5, 2) (If you are looking for the point)

1: A bicycle club went on a six-hour ride. The graph below shows the relationship between the
number of hours spent on the trails and the number of miles traveled. (2pts)

Answers

Answer:

Is B.

Step-by-step explanation:

because they stop for a rest between the 3 and 4 hour.

The statement "the club members stopped for a rest during their ride" best interprets the information provided by the given graph.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A six-hour ride was taken by a biking group. The relationship between the number of hours spent on the trails and the distance covered is represented in the given graph.

During their journey, the club members stopped to take a break due to the 3 to 4-hour rest period shown in the given graph.

Therefore, the statement "the club members stopped for a rest during their ride" best interprets the information provided by the given graph.

Hence, the correct answer would be option (B).

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

what is the greatest common factor of 30x² and 24x? ​

Answers

Answer:

6x

Step-by-step explanation:

find the prime factors of each term in order to find the GCF hope this helps have a good day/night :) ❤

Answer:

Since  24 x 2 , 30 x

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Step-by-step explanation:

Steps to find the GCF for  24 x 2 , 30 x :

1. Find the GCF for the numerical part  24 , 30

2. Find the GCF for the variable part  x 2 , x 1

3. Multiply the values together

Find the common factors for the numerical part: 24 , 30 The factors for  24  are 1 , 2 , 3 , 4, 6 , 8 , 12 ,24 .

Find the slope given the graph below:

Answers

Answer:

5/3

Step-by-step explanation:

rise over run

(y2-y1)/(x2-x1)

(-2-3)=-5

(-2-1)=-3

(-x+4y = 10 ( x — Зу = 11 using substitution​

Answers

Answer:

x=74, y=21. (74, 21).

Step-by-step explanation:

-x+4y=10

x-3y=11

-------------

y=21

x-3(21)=11

x-63=11

x=11+63

x=74

Ms. Hendricks encourages her sixth-grade class to keep reading during breaks from school. She said that during a break lasting d days, they should each read 30d minutes in total. This year, spring break is 9 days long.

Answers

Answer:

69420

Step-by-step explanation:

Xr mom nerd

Answer:

its 270

Step-by-step explanation:

its the right answer I think it was on IXL

a line that has (1,0) and (1,7) as endpoints​

Answers

What’s the question

HELP NEEDED ASAP GIVING BRAINLIEST AND PLEASE EXPLAIN

Answers

Answer: (B is the answer.

Step-by-step explanation: The graph I attached corresponds with B.

Cross -3 by -2.

What is this number in standard form?

(5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

Answers

Standard form of given expanded form of a number is 16518.

What is meant by expanded form?

The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Given

Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

We have to convert the expanded form into standard form

= 5000 + 70 + 8 + 440 + 11000

= 16518

Thus, standard form of given number is 16518.

Find out more information about expanded form here

https://brainly.com/question/1637442

#SPJ3

Answer:

16,518

(or  1.6518 x 10⁴)

Step-by-step explanation:

Expanded form:  The digits of a number are split into individual digits based on their place value.  Each digit of a number can be written in  multiple of 1, 10, 100, 1000, etc.

Standard form:  The combination of digits written together as a single number.

The given number is not quite, but almost, written in expanded form:

(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)

For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).

If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:

[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]

-----------------------------------------------------------------------------------------------------

However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where  [tex]1\leq a < 10[/tex]  and  [tex]n[/tex] is any positive or negative whole number.

To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).

If the decimal point has moved to the left, the power is positive.

If the decimal point has moved to the right, the power is negative.

To convert 16518 into standard form:

Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):

1.6518 x 10⁴

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**I have provided both standard forms, as it is not clear from the question which is required.**

which of these is not a unit of density

a. grams per kilograms

b.kilograms per cubic meter

c. grams per cubic centimeter

d. grams per millimeter

offering 16 points give a good answer

Answers

I think it’s the a and the c

Can you please answer it tysm

Answers

Answer is B $1.75, hope this helps!
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