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
emmasim [6.3K]
3 years ago
6

A wholesaler purchased a certain number of books for $864. If the price per book was $3 less, the number of the books that could

be purchased for $864 would be 4 more. How much did each book cost originally?
Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

$27

Step-by-step explanation:

b will be the number of books and p will be the price, now we just use a system of equations

bp = 864

       b=864/p

(b+4)(p-3) = 864

(864/p +4)(p-3) = 864

864 - 2592/p + 4p -12 = 864

864p - 2592 + 4p^2 -12p - 864p = 0

4p^2 -12p -2592 = 0

4(p^2 - 3p -648) = 0

4((p - 3/2)^2 - 2601/4) = 0 (completed the square here)

4(p - 3/2)^2 -2601 = 0

p = +/-51/2+3/2

p = 27 or -24

A negative price doesn't make sense so it's 27, now we go back to the other equation if you want to find the number of books.  

b=864/p

b = 864/27

b = 32

You might be interested in
Instructions for a blanket call for 36 yards of yarn. A skein of yarn has 6 feet in in. How many skeins of yarn do you need?
Aloiza [94]
For this case the first thing you should know is the following unit conversion:
 1 yard = 3 feet
 Applying the conversion we have:
 6 * (1/3) = 2 yards
 Therefore the number of skeins of yarn is:
 N = (36) / (2)
 N = 18
 Answer:
 
You need 18 skeins of yarn
5 0
3 years ago
List the term(s) in the following expression:<br> 2x2–5xy + 8y4
eduard

Answer:

8

y

4

+

2

x

2

−

5

x

y

Step-by-step explanation:

3 0
3 years ago
Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
3 years ago
What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?
Rasek [7]

The side lengths of triangle are 6 units, 8 units and 10 units.

<u>SOLUTION: </u>

Given that, we have to find what is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)  

We know that, distance between two points P\left(x_{1}, y_{1}\right) \text { and } Q\left(x_{2}, y_{2}\right) is given by  

P Q=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Now,  

\begin{array}{l}{\text { Distance between }(-5,-1) \text { and }(-5,5)=\sqrt{(-5-(-5))^{2}+(5-(-1))^{2}}} \\\\ {\qquad \begin{array}{l}{=\sqrt{(-5-(-5))^{2}+(5-(-1))^{2}}} \\\\ {=\sqrt{(0)^{2}+(5+1)^{2}}=\sqrt{(6)^{2}}=6} \\\\ {=\sqrt{(-5)^{2}+(5+1)^{2}+(5-(-1))^{2}}} \\\\ {=\sqrt{(-8)^{2}+(5+1)^{2}}=\sqrt{64+36}=\sqrt{100}=10} \\\\ {=\sqrt{(3-1)^{2}+(-1-(-1))^{2}}} \\\\ {=\sqrt{(5+3)^{2}+(0)^{2}}=\sqrt{(8)^{2}}=8}\end{array}}\end{array}

8 0
3 years ago
Help pls <br> Show workings
vitfil [10]

- the type of pair is vertical angle.

- to find x:

-- vertical angles are equal.

4x + 10 = 5x - 1

10 = x - 1

x = 11

6 0
3 years ago
Other questions:
  • What is the total account debt as of the statement date called?
    15·2 answers
  • PLZZZZZZZZZZZZZZZZZZZZZZ HELP!
    5·1 answer
  • What is the solution to the system -2x + y = 6 and y= 2x - 3?
    9·1 answer
  • Please help? I have placed the screenshot below.
    11·1 answer
  • PLEASE HELP!!
    8·2 answers
  • Help 5 minutes to turn in
    13·2 answers
  • What digit is Z?<br><br>A. 2<br>B. 4<br>C. 6​
    6·1 answer
  • Derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion
    5·1 answer
  • If f(n)=5^n then what is f(4)
    9·1 answer
  • Please help me I don't understand and this is due by the end of the day. I looked up ways to do this but I just don't understand
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!