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
Mariana [72]
3 years ago
8

A discount bookstore sells hardcover books for $12 and paperback books for $6. The number of hardcover books, x, sold one day wa

s twice the number of paperback books, y, sold the same day. The total sales that day were $180. What is the system of equations that represents this situation
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer: the system of equations that represents this situation are

12x + 6y = 180

x = 2y

Step-by-step explanation:

Let x represent the number of hardcover books that were sold in a day.

Let y represent the number of paperback books that were sold in a day.

The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that

12x + 6y = 180

The number of hardcover books sold that day was twice the number of paperback books. It means that

x = 2y

You might be interested in
Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri
Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after \frac{640}{7} miles

Step-by-step explanation:

Given

The table represents the car mileage

y = -\frac{1}{5}x + 31 --- The van

First, calculate the car's slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

From the table, we have:

(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)

So, we have:

m = \frac{10.5 - 13.5}{180 - 60}

m = \frac{-3}{120}

m = -\frac{1}{40}

Calculate the equation using:

y = -\frac{1}{40}(x - 60)+13.5

y = -\frac{1}{40}x + 1.5+13.5

y = -\frac{1}{40}x + 15

m = -\frac{1}{40} implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

y = -\frac{1}{5}x + 31 --- The van

By comparison to: y = mx + b

m = -\frac{1}{5}

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

1/40 < 1/5

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

y = -\frac{1}{5}x + 31 --- The van

y = -\frac{1}{40}x + 15 --- The car

Equate both

-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15

Collect like terms

\frac{1}{40}x -\frac{1}{5}x  =-31 + 15

\frac{1}{40}x -\frac{1}{5}x  =-16

Take LCM

\frac{x - 8x}{40} = -16

\frac{- 7x}{40} = -16

Solve for -7x

-7x = -640

Solve for x

x = \frac{640}{7}

5 0
3 years ago
A board is 77.47 centimeters long. How long is the board in inches. 1 inch is 2.54
Lady_Fox [76]

Answer:

30.5 in

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent? (1 point) 37.57
Eva8 [605]

Answer:

37.57 + 1.95x

Step-by-step explanation:

The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.

I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.

Have a great day, and best of luck for your math problem!

4 0
3 years ago
Solve the equation for the indicated variable.<br><br> Q = 8rs^2, for r
Elis [28]

Answer:

  r = Q/(8s^2)

Step-by-step explanation:

Divide by the coefficient of r.

  Q/(8s^2) = 8rs^2/(8s^2) = r

8 0
4 years ago
Read 2 more answers
Liz needs to keep no less than $500 in her checking account to avoid fees. she had $524.75 before writing a check for $65.99. ho
____ [38]
If she needs to keep $500 in her account and she just wrote a check for $65.99 she needs to deposit $41.24 to be at $500 when the $65.99 is withdrawn.
8 0
3 years ago
Other questions:
  • A carousel has eight evenly spaced seats shaped like animals. During each ride, the carousel makes between 8 and 9 clockwise rev
    15·2 answers
  • HELP PLZ HURRY!!!!!!
    6·1 answer
  • Given the following system of equations, identify the type of system.
    15·1 answer
  • Greatest common factor <br> of 15.
    7·1 answer
  • Which expression is equivalent to 12a + 8​
    10·2 answers
  • Hey guys maths today
    7·2 answers
  • {(2, 1), (4, 1), (6,5), (5,4)} is it a function
    6·1 answer
  • 5. Find four consecutive even integers such that 3 times the sum of the first and second is
    5·1 answer
  • Mi tía quiere decorar con baldosas cuadradas de 25 cm de lado, una pared rectangular del patio que mide 3,5 m de ancho y 5,8 m d
    9·1 answer
  • Help me pls desperate please plspls
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!