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
natta225 [31]
2 years ago
14

ABC Bookstore sells one customer 12 used books and 4 new books for 136. Another customer buys 14 used books for 124. How much is

one used book (u), and one new book (n)?
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
3 0

An equation is formed of two equal expressions. The cost of a new book is $7.43, while the cost of an old book is $8.86.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the cost of 14 used books is $124. Therefore, the cost of a single used book is,

Cost of single used book(u) = 124/14 = $8.86

Also, the cost of 12 used books and 4 new books is $136. Therefore, the equation can be written as,

12u + 4n = 136

12(8.85) + 4n = 136

106.2 + 4n = 136

n = $7.43

Hence, the cost of a new book is $7.43, while the cost of an old book is $8.86.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

You might be interested in
Mr. Birdie has worked hard as a Math teacher all his
Nikitich [7]

Answer:

You'll likely need assets worth 10 to 16 times your salary by the time you leave your job. A 45-year-old making $120,000 who hopes to retire at age 60, say, should already have nearly $700,000 set aside. (See the Retire Early calculator.) You can get by with less if you'll have other sources of income.

6 0
3 years ago
A lottery consists of one $2000 winner, three $500 winners, and ten $100 winners. a total of 1000 tickets are sold for $10 each.
Semenov [28]

Answer: -5.5

 

WOKINGS

Given that the lottery has the following number of winners:

One $2000 winner

Three $500 winners

Ten $100 winners

 

Also Given,

A total of 1000 tickets are sold

Each ticket costs $10

 

The expected winning for a person purchasing one ticket is the sum of the products of the gain/loss and their corresponding probability.

 

There is one $2000 winner

There are 1000 tickets

The probability of winning $2000

= 1/1000

= .001

There are three $500 winners

There are 1000 tickets

The probability of winning $500

= 3/1000

= .003

 


There are ten $100 winners

There are 1000 tickets

The probability of winning $100

= 10/1000

= .01

 

Since each ticket costs $10

Everyone who buys a ticket automatically loses $10.

Therefore, the probability of losing $10 is 1

 

Now to calculate the expected winning for a person purchasing one ticket

= 2000(.001) + 500(.003) + 100(.01) – 10(1)

= 2 + 1.5 + 1 – 10

= -5.5

 

The expected winning is -5.5. This implies that a person playing this lottery can expect to lose $5.50 for every one ticket that they purchase. 

7 0
3 years ago
HELP giving brainless and 100 points!!
Ksivusya [100]

Answer:

b

Step-by-step explanation:

3 1/2 x 3 x 1/2= 5.25 or 5 and 1/4

5 0
3 years ago
Read 2 more answers
G C D of 130 and 150​
wlad13 [49]

Answer:

GCF = 10

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP GUYS i am struggling so much, two questions
ankoles [38]

Answer: the equation of the standard parabola

1) (y-6)^2 = 4 (x-1)

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

<u>Explanation </u>

<u>Parabola:-</u>

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'

  • The locus of P such that \frac{SP}{PM} = constant
  • The fixed point  'S' is called the Focus.
  • The fixed line'l 'is called the directrix of the conic
  • The constant ratio is known as the eccentricity, denoted by 'e'
  • If e=1 , the conic is called a parabola

1) <u> Step 1</u> :-

Given the focus   S = (2,6) and directrix is x=0

we know that \frac{SP}{PM}=1

now cross multiplication , we get

SP = PM

squaring on both sides,we get

SP^{2} = PM^2

step 2:-

now using distance formula is

  • \sqrt(((x_{2}-x_{1})^2+(y_{2} -y_{1} )^2)

Given S =(2,6) and P(x,y) be any point on parabola

SP^2 = (x-2)^2+(y-6)^2........(1)

Now using perpendicular distance formula

let P(x , y ) be any point on the parabola

  • \frac{ax_{1}+by_{1}+c   }{\sqrt{a^2+b^2} }

Given the directrix is x =0 and P(x,y) be any point on parabola

PM^2 = \frac{x^2}{\sqrt{1}^2 }......(2)

equating equation(1) and equation (2), on simplification

we get (x-2)^2+(y-6)^2 = x^2.....(3)

  • apply (a-b)^2 = a^2+  b^2+2 ab

now the equation (3) is

(y-6)^2 = 4 x-4

now the standard form of parabola is

(y-k)^2 = 4 a(x-h)

<u>Final answer</u>:-

(y-6)^2 = 4 (x-1)

2) <u> Explanation:-</u>

<u>step 1:</u>

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

here the given points of 'x'co- ordinates are equal

  • Therefore the axis AS is parallel to y- axis

now the standard equation of parabola

(x-h)^2 = 4 a (y-k)

now you have to find' a' value

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

The distance of AS = \sqrt{(-5-(-5)^2+(2-6)^2}

 on simplification we get a =4

<u>Final answe</u>r :-

the vertex (h,k) = (-5,2) and a=4

(x-h)^2 = 4 a (y-k)

The standard parabola is (x+5)^2 = 16 (y-2)

5 0
3 years ago
Other questions:
  • Solve.
    10·2 answers
  • Nine more than twice a number is less than negative nineteen.  Find all numbers that make this statement true.
    9·1 answer
  • What’s the equation of (6,39) and (-5,-49)
    5·1 answer
  • PLEASE SHOW ALL THE STEPS THAT YOU USE TO SOLVE THIS PROBLEM
    13·1 answer
  • What is the slope and the y intercept for the graph y=7x-2
    15·1 answer
  • I WILL GIVE YOU BRAINLIEST!!!!!
    5·1 answer
  • Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele
    7·1 answer
  • Please help i will mark brainliest
    11·1 answer
  • Ehhhhhhhhhh qwq<br> . . . . . . . . . . . . . . . . .
    12·2 answers
  • I need help with someone explaining how to find the range of this! This course didn’t explain anything!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!