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
andrew-mc [135]
3 years ago
6

The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har

dcover books for five dollars each the library raised $271 and sold 89 bucks how many hardcover books were sold
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

The Local Library sold <u>31</u> hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

x+y=89 \ \ \ \ \ equation \ 1

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

2x+5y=271 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 2 we get;

2(x+y)=89\times2\\\\2x+2y = 178 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(2x+5y)-(2x+2y)=271-178\\\\2x+5y-2x-2y=93\\\\3y = 93\\\\y=\frac{93}{3}=31

Substituting the value of y in equation 1 we get;

x+y =89\\\\x+31=89\\\\x =89-31 = 58

Hence The Local Library sold 58 paper back books and <u>31</u> hardcover books.

You might be interested in
Which property justifies the step shown in solving this equation -y-5=11
bulgar [2K]

Answer:

y-5=11

y-5+5=11+5 (Add 5 to both sides)

y=16 (Simplify)

I believe that y=16 cannot be simplified so y=16 should be the answer let me know if it helped.


8 0
3 years ago
Which of the following statements about feasible solutions to a linear programming problem is true?A. Min 4x + 3y + (2/3)z
Len [333]

Answer:

The answer is "Option A"

Step-by-step explanation:

The valid linear programming language equation can be defined as follows:

Equation:

\Rightarrow \ Min\  4x + 3y + (\frac{2}{3})z

The description of a linear equation can be defined as follows:

It is an algebraic expression whereby each term contains a single exponent, and a single direction consists in the linear interpolation of the equation.

Formula:

\to \boxed{y= mx+c}

7 0
3 years ago
4X Takeaway 10 equals 20+ 6X
Natasha2012 [34]
X= -15
First, we want to combine like terms.
4x-10=20+6x
Subtract 4x from both sides
-10=20+2x
Subtract 20 from both sides
-30=2x
Divide by 2 to isolate the variable
X= -15
5 0
3 years ago
Q is the midpoint for the points S(11, -6) and T(-1, 10). Find the length of segment QT.<br> QT=
iris [78.8K]

Answer:

10

Step-by-step explanation:

QT=ST/2=√(12^2+16^2)/2=10

3 0
3 years ago
TROLLS WILL BE REPORTED. <br><br><br> please help. Image up top.
Nana76 [90]

Answer:

0

Step-by-step explanation:

The priced was decreased by $300. So it starts at -$300. Then additional features is $900. So it's now $600. But the dealer took -$600 off. So now it is $0 from the original price.

7 0
3 years ago
Other questions:
  • A kenne is moving 160 dogs to a new facility. Each dog has its own crate. The facility manager rents 17 trucks. Each truck holds
    10·1 answer
  • Explain how the Quotient of Powers was used to simplify this expression. (2 points) 2 to the fifth power, over 8 = 22
    6·2 answers
  • Please help me with this problem.
    6·1 answer
  • What are two ratios that are equivalent to 12:20?
    15·2 answers
  • A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li
    10·1 answer
  • Given that (3,2,-6)and (-2,5,1) Are solutions of two equations in a system of three linear equations which of the following is t
    15·1 answer
  • Which ratio is equivalent to 12 over 14
    12·2 answers
  • Evaluate the expression when y equals 4. 5 + y + 8​
    7·1 answer
  • What angles are adjacent ?
    6·2 answers
  • If a 12-foot-tall object casts a 9-foot shadow, how long a shadow would a 4-foot-tall object cast at the same time and place
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!