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
quester [9]
3 years ago
7

Rick is creating a love potion for Morty. To make the potion, Rick's needs 51 mL of a mixture solution where 40% is carbonated w

ater. After checking around his shop, Rick finds two solutions he could use. The first solution he found is 65% green tea, 15% carbonated water, and 20% whole milk. The second solution is 17% orange juice, 38% lemonade, and 45% carbonated water. How much of the first solution and second solution does Rick need to mix together to create the love potion? Round your final answers to one decimal place. You may solve this problem using any method we have learned in the class.
Chemistry
1 answer:
Deffense [45]3 years ago
8 0

Answer:

The amount of the first solution rick needs to mix together to create the love portion is 8.5 mL

Explanation:

So as to make the love potion, we have;

The percentage of carbonated water in the love portion = 40%

The percentage of green tea in the first solution = 65%

The percentage of carbonated water in the first solution = 15%

The percentage of whole milk in the first solution = 20%

The percentage of orange juice in the second solution = 17%

The percentage of lemonade in the second solution = 38%

The percentage of carbonated water in the second solution = 45%

Let 'x' represent the volume in mL of the first solution added to make the love portion, and let 'y' be the volume in mL of the second solution added to make the love portion, we have;

x + y = 51...(1)

0.15·x + 0.45·y = 0.40×51 = 20.4

0.15·x + 0.45·y = 20.4...(2)

Solving the system of simultaneous equation by making 'y' the subject of each of the equation gives;

For equation (1)

y = 51 - x

For equation (2)

y = 20.4/0.45 - (0.15/0.45)·x = 136 - 3·x

y = 136/3 - (1/3)·x

Equating the two equations of 'y', gives;

51 - x = 136/3 - (1/3)·x

51 - 136/3 = x - (1/3)·x

17/3 = (2/3)·x

(2/3)·x = 17/3

x = (3/2) × (17/3) = 17/2 = 8.5

x = 8.5

y = 51 - x = 42.5

y = 42.5

Therefore, the amount of the first solution rick needs to mix together to create the love portion, x = 8.5 mL

You might be interested in
What is a non-example for an Electric circuit?
Mademuasel [1]

Answer:

Impressionist paintings are a non-example of electric circuits.

Explanation:

hope this helped

4 0
2 years ago
Read 2 more answers
The _______________________________________ is often referred to as the powerhouse of the cell
almond37 [142]

Answer:

Mitochondria

Explanation:

7 0
2 years ago
Read 2 more answers
Which of the following BEST supports the Big bang theory of the origin of the universe?
inysia [295]

Answer: first one

Explanation:

7 0
3 years ago
An iron nail rusts when exposed to oxygen. According to the following reaction, how many moles of iron(III) oxide will be formed
Zigmanuir [339]

Answer:

0.453 moles

Explanation:

The balanced equation for the reaction is:

2Fe(s) + 3O2(g)  ==>  2Fe2O3

From the equation,  mass of O2 involved = 16 x 2 x 3 = 96g

                                 mass of Fe2O3 involved = [(2x26) + 3 x 16] x 2

                                                                            = 100g

                Therefore 96g of O2 produced 100g of Fe2O3

                                  32.2g of O2 Will produce   100x32.2/96

                                                   = 33.54g of Fe2O3

Converting it to mole using   number of mole = mass/molar mass

but molar mass of Fe2O3 = 26 + (16 X 3)

                                           = 74g/mole

Therefore number of mole of 33.54g of Fe2O3 = 33.54/74

                                                                           = 0.453 moles

5 0
3 years ago
A gas is initially at a pressure of 4.7 atm and a volume of 7.5 L. When the volume is increased to 10.5 L, what is the new press
Roman55 [17]

Answer:

P2=3.36 atm

Explanation:

P1×V1=P2×V2

P1×V1÷V2=P2×V2÷V2

P2=4.7×7.5÷10.5

P2=3.36 atm

5 0
2 years ago
Other questions:
  • Which of the following series of isoelectronic ions (Mg²⁺, N³⁻, F⁻, Si⁴⁺) has the ionic radii in order of largest to smallest? A
    12·1 answer
  • An adiabatic Turbine has R-134a as the working fluid. The inlet has a pressure of 200 kPa and a temperature of 20°C while the ou
    9·1 answer
  • Phosgene (carbonyl chloride), COCl2, is an extremely toxic gas that is used in manufacturing certain dyes and plastics. Phosgene
    5·1 answer
  • What do all prokaryotes and eukaryotes have in common? A. They are unicellular organisms. B. They are multicellular organisms. C
    10·1 answer
  • Explain how the mucles and other organs are dependent on the brain
    6·1 answer
  • Someone please help me it’s an assessment on Stochiometry
    11·1 answer
  • What group does the element 1S22S22P63S23P6 belong to
    8·1 answer
  • We know that potential energy is the stored energy in an object. In a stretched rubber band or compressed spring that stored ene
    8·1 answer
  • Do you think these fish are an example of natural selection among two populations of the same species
    5·1 answer
  • A commonly held idea about influenza is that it is a disease that occurs primarily in cold weather. Doctors report incidences of
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!