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
Aleksandr-060686 [28]
3 years ago
9

Twelve books cost $59.88 and

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

Answer:

Yes there is, and it is 4.99.

Step-by-step explanation:

The constant of proportionality (let's call it \alpha) will relate the number of books bought N and their cost  C in the following way:

C={\alpha}N

\therefore \alpha =\frac{C}{N}

For the 12 books:

\alpha =\frac{59.88}{12} = 4.99.

And for the 21 books:

\alpha =\frac{104.79}{21} = 4.99.

The \alpha for the two purchases is the same, thus there is a constant of proportionality between the two purchases.

P.S: \alpha is the price per book.

You might be interested in
Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
Help
ycow [4]

Answer:

hat: $12

t-shirt: $8

Step-by-step explanation:

Let the price of 1 hat = h.

Let the price of 1 t-shirt = t.

Julie: h + 2t = 28

Raj: 2h + t = 32

We have a system of 2 equations in 2 variables.

h + 2t = 28

2h + t = 32

Let's use the substitution method to solve the system of equations.

Solve the first equation for h.

h = 28 - 2t

Substitute 28 - 2t for h in the second equation.

2(28 - 2t) + t = 32

56 - 4t + t = 32

56 - 3t = 32

-3t = -24

t = 8

h = 28 - 2t

h = 28 - 2(6)

h = 12

Answer:

hat: $12

t-shirt: $8

5 0
3 years ago
3c/4 - 2c/3 = 4 (Solve with work please
mars1129 [50]
C = 9/28 = 0.321

https://www.tiger-algebra.com/drill/3c-3/4=2c/3/

3 0
3 years ago
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one
Serhud [2]

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

7 0
3 years ago
How can you know if this equation is true?<br> 1/3+1/5=2/8=1/4
m_a_m_a [10]

Answer: This statement isn't true.

Step-by-step explanation: By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

5 0
4 years ago
Other questions:
  • If someone is getting paid $29000 annually how much is that person making hourly?
    8·1 answer
  • I am a number less than 3000 when you divide me by 30 to my remainder 30 you divide me by 58 my remainders 44 what number am I
    11·1 answer
  • Ethan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and e
    9·1 answer
  • BRAINLIEST AND 20 POINTS PLZ HELP ASAP
    7·2 answers
  • If 7x+2a = 3x+5a, then x is equivalent to
    12·1 answer
  • 2p2 -15p + 25 =<br><br> (p - 5)(2p - 5)<br> (p - 5)(2p + 5)<br> (p + 5)(2p - 5)<br> (2p - 15)(p + 5)
    7·2 answers
  • What is the solution of x^2+x-6/x-7&lt;0 PLEASE HELP ME :( (it’s not the 2nd one i already tried it)
    11·1 answer
  • What is 3 miles and 4,221 feet divided
    8·1 answer
  • Whats the slope intercept form of <br>x_2y=-16​
    5·2 answers
  • The weight of an object on the moon is 1/6 of its weight on earth. If a moon rock weighs 20 1/2 lb on earth, how much did the ro
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!