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
Korolek [52]
3 years ago
9

Five hundred gallons of 89-octane gasoline is obtained by mixing 87-octane gasoline with 92-octane gasoline. (a) Write a system

of equations in which one equation represents the total amount of final mixture required and the other represents the amounts of 87- and 92-octane gasoline in the final mixture. Let x and y represent the numbers of gallons of 87- and 92-octane gasoline, respectively. (b) Use a graphing utility to graph the two equations in part (a) in the same viewing window. As the amount of 87-octane gasoline increases, how does the amount of 92-octane gasoline change? (c) How much of each type of gasoline is required to obtain the 500 gallons of 89-octane gasoline?
Engineering
1 answer:
miskamm [114]3 years ago
6 0

Explanation:

a) The total volume equals the sum of the volumes.

500 = x + y

The total octane amount equals the sum of the octane amounts.

89(500) = 87x + 92y

44500 = 87x + 92y

b) desmos.com/calculator/ekegkzllqx

As x increases, y decreases.

c) Use substitution or elimination to solve the system of equations.

44500 = 87x + 92(500−x)

44500 = 87x + 46000 − 92x

5x = 1500

x = 300

y = 200

The required volumes are 300 gallons of 87 gasoline and 200 gallons of 92 gasoline.

You might be interested in
¿Cuándo se formarán cristales en una mezcla que se está evaporando?
Georgia [21]
Answer - La cristalización ye un procesu químicu pol cual a partir d'un gas, un líquidu o una disolución, los iones, átomos o molécules establecen enllaces hasta formar una rede cristalina, la unidá básica d'un cristal. La cristalización emplegar con bastante frecuencia en química para purificar una sustancia sólida.
5 0
3 years ago
Two streams of air enter a control volume: stream 1 enters at a rate of 0.05 kg / s at 300 kPa and 380 K, while stream 2 enters
alex41 [277]

Answer:

0.08kg/s

Explanation:

For this problem you must use 2 equations, the first is the continuity equation that indicates that all the mass flows that enter is equal to those that leave the system, there you have the first equation.

The second equation is obtained using the first law of thermodynamics that indicates that all the energies that enter a system are the same that come out, you must take into account the heat flows, work and mass flows of each state, as well as their enthalpies found with the temperature.

 

finally you use the two previous equations to make a system and find the mass flows

I attached procedure

5 0
3 years ago
Which of the following types of protection is an employer required to pay for?
77julia77 [94]

Answer:

Hearing protection would be your answer!

Explanation:

This includes earplugs,muffs etc.

Hope it helps!

7 0
3 years ago
Read 2 more answers
Any change in the system from one equilibrium state to another is called: A) Path B) Process C) Cycle D) None of the above
dexar [7]

Answer:

B) Process

Explanation:

In thermodynamics a process is a passage of a thermodynamic system from an initial to a final state of thermodynamic equilibrium.

A thermodynamic process path is the series of states through which a system passes from an initial to a final state.

Cycle is a process in which initial and final state are identical.

7 0
3 years ago
A hair dryer is basically a duct of constant diameter in which a few layers of electric resistors are placed. A small fan pulls
Inessa05 [86]

Answer:

the percent increase in the velocity of air is 25.65%

Explanation:

Hello!

The first thing we must consider to solve this problem is the continuity equation that states that the amount of mass flow that enters a system is the same as what should come out.

m1=m2

Now remember that mass flow is given by the product of density, cross-sectional area and velocity

(α1)(V1)(A1)=(α2)(V2)(A2)

where

α=density

V=velocity

A=area

Now we can assume that the input and output areas are equal

(α1)(V1)=(α2)(V2)

\frac{V2}{V1} =\frac{\alpha1 }{\alpha 2}

Now we can use the equation that defines the percentage of increase, in this case for speed

i=(\frac{V2}{V1} -1) 100

Now we use the equation obtained in the previous step, and replace values

i=(\frac{\alpha1 }{\alpha 2} -1) 100\\i=(\frac{1.2}{0.955} -1) 100=25.65

the percent increase in the velocity of air is 25.65%

6 0
3 years ago
Other questions:
  • Let suppose, you are going to develop a web-application for school management system. Then what architectural pattern will you u
    9·1 answer
  • A circuit with ____ -diameter connecting wires at a _____ temperature will have the least electrical resistance.
    13·1 answer
  • Write a program that prompts for a line of text and then transforms the text based on chosen actions. Actions include reversing
    7·1 answer
  • You start your car and begin to pull out of a parking space. After leaving the space, You notice that the brake light on your in
    12·1 answer
  • Ear "popping" is an unpleasant phenomenon sometimes experienced when a change in pressure occurs, for example in a
    12·1 answer
  • 8.2.1: Function pass by reference: Transforming coordinates. Define a function CoordTransform() that transforms the function's f
    8·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!! I AM BEING TIMED!!!!!!!!!!!!!!!!!!!!!! 30 MINUTES LEFT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • Yeah this question might be difficult as most of the brainly community is math. Hope I can find at last one robotics person. ;-;
    13·2 answers
  • Given : f(x) = x³- 7x²+ 36 Draw the graph of f neatly on F graph paper. Clearly indicate an Intercepts and coordinates of turnin
    14·1 answer
  • I need help with this question
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!