Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between; cups and liters, cups and pints, and pints and liters. Show all your work and submit your work along with the resulting relationships.

Darian Hubbard 2022-07-20 Answered
Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;
●cups and liters,
●cups and pints,
●and pints and liters.
Show all your work and submit your work along with the resulting relationships.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

repotasonwf
Answered 2022-07-21 Author has 12 answers
7  cups + 3  litres  = 9.8  pints 
7 c + 3 l = 9.8 Equation 1
5  litres  9  cups  = 6  pints
5 l 9 c = 6 p Equation 2
Relationship between cups and litres
Rearranging equation 1 to make pints the subject
7 c + 3 l + 9.8 p
p = 7 c + 3 l 9.8 substitute this into Equation 2
5 l 9 c = 7 c + 3 l 9.8 49 l 88.2 c = 7 c + 3 l 49 l 3 l = 7 c + 88.2 c 46 l = 95.2 c l = 2.1 c
Hence, 1 litre = 2.1 cups
Relationship between cups and pints
Rearrange equation 1 to make litres the subject
7 c + 3 l = 9.8 3 l = 9.8 p 7 c l = 9.8 p 7 c 3 Substituting this into Equation 2
5 ( 9.8 p 7 c 3 ) 9 c = 6 p 49 p 35 c 3 9 c = 6 p 49 3 p 35 3 c 9 c = 6 p 49 p 3 6 p = 35 3 + 9 c 31 3 p = 62 3 c p = 2 c
Hence, 1 pint = 2 cups
Relationship between pints and litres
Rearranging equation 1 to make cup the subject
7 c = 9.8 3 l c = 9.8 p 3 l 7 subsitute this into equation 2
5 l 9 ( 9.8 p 3 l 7 ) = 6 p 5 l 63 5 p + 27 7 l = 6 p 5 l + 27 7 l = 6 p + 63 5 p 26 7 l = 93 5 p l = 2.1 p
Hence, 1 litre = 2.1 pints

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2022-07-25
In his motorboat, Nguyen travels upstream at top speed to his favorite fishing spot, a distance of 36 miles, in two hours. Returning, he finds that the trip downstream, still at top speed, takes only 1.5 hours. Find the speed of Nguyen's boat and the speed of the current.
asked 2022-07-17
Write the first five terms of a sequence. Write both an explicit formula and a recursive formula for a general term in the sequence. recursive formula for arithmetic sequence recursive formula for geometric sequence how to write a recursive formula recursive formula calculator arithmetic sequence formula calculator geometric sequence formula recursive sequence write the first five terms of the arithmetic sequence Report inappropriate predictions
asked 2022-07-16
Find f'(x) if f ( x ) = 9 x and state its domains of f'(x)
= lim h 0 f ( x + h ) f ( x ) h = lim h 0 9 ( x + h ) 9 x h ( 9 ( x + h ) + 9 x 9 ( x + h ) + 9 x )
asked 2021-09-17
Complete the sentence. 0.4 is 10 times as much as _____.
asked 2021-02-09
Use Gauss-Jordan row reduction to solve the given system of equations.
9x−10y =9
36x−40y=36

New questions