1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KatRina [158]
3 years ago
9

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?

Mathematics
1 answer:
sweet [91]3 years ago
4 0

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 = \frac{1}{4}×y

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

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×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 = \frac{2.4}{3} = 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

You might be interested in
What are the 2 points ,, red or orange ,, what is the solution
denpristay [2]

Answer:

(-2, 4)

Step-by-step explanation:

y = -3x - 2

y = -x +2

=> -3x - 2 = -x +2

    -3x + x = 2 + 2

    -2x = 4

        x = -2

     -x + 2 = y

      2 + 2 = y

            4 = y

8 0
3 years ago
When you roll a standard number cube once, what is the probability of rolling a number divisible by 3?
NeTakaya

Answer:

C.

Step-by-step explanation:

There are two numbers on a standard cube that are divisible by 3, 3 and 6. Which gives you the fraction 2/6 and can be reduced to 1/3

4 0
3 years ago
Read 2 more answers
PLEASEEE HELP!!!!!!!!
Cloud [144]

Answer:

Number 2

Step-by-step explanation:

So you first gotta open the parentheses: When you multiply them you add the exponents

You get x^5/6 + 2x^7/3

8 0
3 years ago
Read 2 more answers
If f(x) = x + 7 and g(x) = 1 / x - 13, whaf is the domain of (f°g)(x)?​
ZanzabumX [31]

Answer: Choice D) x can be anything but 13

========================================================

Explanation:

The domain of (f \circ g)(x) = f(g(x)) is the same as the domain of g(x)

The domain for g(x) is \{x|x \ne 13\} saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because

f(x) = x+7\\\\\\f(g(x)) = g(x)+7\\\\\\f(g(x)) = \frac{1}{x-13}+7\\\\\\(f \circ g)(x) = \frac{1}{x-13}+7\\\\\\

and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.

6 0
2 years ago
ANSWER QUICK.
Debora [2.8K]

Answer:

14 %  discount

Step-by-step explanation:

39.00 x .14 = 5.46

39.00 -5.46 = $33.54

6 0
3 years ago
Other questions:
  • Can anyone help me solve these math problems?
    13·1 answer
  • I just want to make sure I am right.<br> Its Mathematics
    6·1 answer
  • How to write 310,763,136 in words
    5·2 answers
  • Carol ate 2/5 of the cake. Dima ate 3/5 of the REMAINING CAKE, mom ate the rest.
    13·1 answer
  • a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the distance, d, that the car tra
    15·2 answers
  • How would i find the length of g?
    9·1 answer
  • Break apart 2 divided by 995
    9·1 answer
  • A 20 inch long piece of rope is approximately 0.5 meters long. What is the length, in inches, of a rope that is 2.5 meters long,
    11·1 answer
  • Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms
    15·2 answers
  • What percent of 50 is 20?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!