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
Katyanochek1 [597]
2 years ago
8

A drink bottle is 3/8 full. It contains 240 millilitres of water. How much water does the bottle contain when it is half-full?​

Mathematics
1 answer:
Georgia [21]2 years ago
4 0

Answer: 320 mL

Step-by-step explanation:

<u>Given information</u>

The bottle is currently 3/8 full

Current Volume = 240 mL

<u>Concept:</u>

Imagine the water in the bottle being separated into 8 parts

Currently, 3 parts are being occupied

<u>Determine the volume for 1 part</u>

3 parts = 240 mL

1 part = 240 / 3 = 80 mL

<u>Determine the volume for half-full (4 parts)</u>

1 part = 80 mL

4 parts = 80 × 4 = \Large\boxed{320~mL}

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
– 5 | 3 z + 8| –5 = -20​
olchik [2.2K]

I'm assuming you want to solve for  z  :)

By simplifying both sides of the equation, then isolating the variable.

Exact form:

z= -5/3 , - 11/3

Mixed number form:

z=  −1  2/3  ,  −3  2/3

8 0
2 years ago
Read 2 more answers
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

Solve the homogeneous ODE,

y'' - 3y' + 2y = 0

The characteristic equation

r^2 - 3r + 2 = (r - 1) (r - 2) = 0

has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

and solve for c.

ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
A rectangle has a length of 4x plus 5 and a width of 8x minus 4. Which expression shows the perimeter of that rectangle? A: 4x +
mezya [45]

Answer: The answer is (D) 24x+2.


Step-by-step explanation:  Given that there is a rectangle, where length of the rectangle is given by

\ell=4x+5,

and width of the rectangle is given by

b=8x-4.

We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.

Therefore, perimeter is given by

p=2\ell+2b=2\times(4x+5)+2\times(8x-1)=8x+10+16x-8=24x+2.

Thus, the correct option is (D).


6 0
3 years ago
How do I find the range of a function (no links)
Anna11 [10]
D is your answer because the bar is 4 and you must have an equal amount of plates on each side so it cannot be B. It goes up by 40 because of 2 plates on each side of the bar
6 0
2 years ago
How to find lengths from hypotenuse
Phoenix [80]
Can you elaborate on the question??
3 0
3 years ago
Read 2 more answers
Other questions:
  • suppose a parabola has a vertex of (-4 7) and also passes through the point (-3,8). what is the equation of the parabola in vert
    9·2 answers
  • Which table represents a linear function ?
    14·1 answer
  • A box contains only black and white chips. There are 8 black chips and 6 white chips. How many white chips must be removed so th
    14·1 answer
  • Find the height (in millimeters) of a tire sized P285/75R19
    6·1 answer
  • Solve this inequality: 14 &lt;-7x
    11·2 answers
  • Simplify each expression by using the distributive property and combining like terms.
    11·2 answers
  • I need help please.​
    6·2 answers
  • FBEIFENFEWF ENFO IM LITERALLY IN LOVE WITH EVERYONE IN THE BRAINLIEST COMMUNITY YALL ARE SO CHILL AND SOME OF U LITERALLY MADE M
    5·1 answer
  • Express your answer in scientific notation.<br> 4.9 X 10^5 – 5.8 X 10^4<br><br> WILL MARK BRAINLIST
    13·1 answer
  • Can someone help me plz ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!