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
ad-work [718]
3 years ago
6

Ruchi and Sindhu went shopping. Sindhu had twice the amount of money as Ruchi.Ruchi purchased utilities for ₹60. Sindhu purchase

d for ₹210. Now both of them have equal amount of money left. How much did each one have at the begging?
Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

Answer:

50¥

Step-by-step explanation:

You might be interested in
A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drain
MissTica

Answer:

(a) 60 kg; (b) 21.6 kg; (c) 0 kg/L

Step-by-step explanation:

(a) Initial amount of salt in tank

The tank initially contains 60 kg of salt.

(b) Amount of salt after 4.5 h

\text{Let A = mass of salt after t min}\\\text{and }r_{i} = \text{rate of salt coming into tank}\\\text{and }r_{0} =\text{rate of salt going out of tank}

(i) Set up an expression for the rate of change of salt concentration.

\dfrac{\text{d}A}{\text{d}t} = r_{i} - r_{o}\\\\\text{The fresh water is entering with no salt, so}\\ r_{i} = 0\\r_{o} = \dfrac{\text{3 L}}{\text{1 min}} \times \dfrac {A\text{ kg}}{\text{1000 L}} =\dfrac{3A}{1000}\text{ kg/min}\\\\\dfrac{\text{d}A}{\text{d}t} = -0.003A \text{ kg/min}

(ii) Integrate the expression

\dfrac{\text{d}A}{\text{d}t} = -0.003A\\\\\dfrac{\text{d}A}{A} = -0.003\text{d}t\\\\\int \dfrac{\text{d}A}{A} = -\int 0.003\text{d}t\\\\\ln A = -0.003t + C

(iii) Find the constant of integration

\ln A = -0.003t + C\\\text{At t = 0, A = 60 kg/1000 L = 0.060 kg/L} \\\ln (0.060) = -0.003\times0 + C\\C = \ln(0.060)

(iv) Solve for A as a function of time.

\text{The integrated rate expression is}\\\ln A = -0.003t +  \ln(0.060)\\\text{Solve for } A\\A = 0.060e^{-0.003t}

(v) Calculate the amount of salt after 4.5 h

a. Convert hours to minutes

\text{Time} = \text{4.5 h} \times \dfrac{\text{60 min}}{\text{1h}} = \text{270 min}

b.Calculate the concentration

A = 0.060e^{-0.003t} = 0.060e^{-0.003\times270} = 0.060e^{-0.81} = 0.060 \times 0.445 = \text{0.0267 kg/L}

c. Calculate the volume

The tank has been filling at 6 L/min and draining at 3 L/min, so it is filling at a net rate of 3 L/min.

The volume added in 4.5 h is  

\text{Volume added} = \text{270 min} \times \dfrac{\text{3 L}}{\text{1 min}} = \text{810 L}

Total volume in tank = 1000 L + 810 L = 1810 L

d. Calculate the mass of salt in the tank

\text{Mass of salt in tank } = \text{1810 L} \times \dfrac{\text{0.0267 kg}}{\text{1 L}} = \textbf{21.6 kg}

(c) Concentration at infinite time

\text{As t $\longrightarrow \, -\infty,\, e^{-\infty} \longrightarrow \, 0$, so A $\longrightarrow \, 0$.}

This makes sense, because the salt is continuously being flushed out by the fresh water coming in.

The graph below shows how the concentration of salt varies with time.

3 0
3 years ago
What is 2/5 divided by 3/4
Triss [41]
It’s 8/15 decimal form it’ll be 0.53 hope this helped !
4 0
2 years ago
What are the coordinates for point G?
aliina [53]

Answer:

G: (-2, 0.5)

Step-by-step explanation:

the "X" is -2 and then the "Y" is 0.5 because it is between 0 and 1, so we could the that Y-axis is being added by 0.5 each time.

5 0
3 years ago
What is the measure of angle GXD?​
s2008m [1.1K]

Answer:

75 = GXD

Step-by-step explanation:

We know that CXE is a straight line

A straight line is 180 degrees

CXE = CXG + GXD +DXE

Substituting what we know

180 = 85+ GXD + 20

Combine like terms

180 = 105+GXD

Subtract 105 from each side

180-105 = 105-105 +GXD

75 = GXD

7 0
3 years ago
What is the following product?<br> (Xv7-3v8)(xv7-3v8)
ahrayia [7]

Answer:

B

Step-by-step explanation:

I'm not really sure tho

6 0
3 years ago
Other questions:
  • Sin A Cos B - Cos A Sun B =
    10·1 answer
  • What is 7/11 equivalent to
    9·1 answer
  • Write the ratio 3/7 to 9 as a fraction in simplest form
    5·1 answer
  • Emerson needs to divide 48 packages of stickers among 6 friends. there are 52 stickers in each package. how many stickers will e
    7·2 answers
  • Segment XZ is bisected by point Y. If XY= 12x, and the measure of XZ= 18x-6, solve for x.​
    13·2 answers
  • Which of the following is equivalent to the expression below?<br> 4x + 3(2x - 1) - 4x
    14·1 answer
  • If represents the number of bacteria in a culture at time t, how many will there be at time
    12·1 answer
  • Solve for x. Your answer must be simplified. x-24&gt;_9
    5·1 answer
  • What is the solution to the system of equations below?
    7·1 answer
  • X
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!