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
Mars2501 [29]
2 years ago
10

Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than

the third shelf?
Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

For the system, we consider that:

  • x is the number of books on the first shelf.
  • y is the number of books on the second shelf.
  • z is the number of books on the third shelf.

In total, there are 152 books, hence:

x + y + z = 152

The first shelf has 7 fewer books than the second shelf, hence:

x = y - 7

Also, it has 11 more books than the third shelf, hence:

x = z + 11

Then:

y - 7 = z + 11

z = y - 18

Then, replacing in the first equation:

x + y + z = 152

y - 7 + y + y - 18 = 152

3y = 177

y = \frac{177}{3}

y = 59

The number of books in each shelf has to be countable, that is, cannot be decimal.

  • Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at brainly.com/question/14183076

You might be interested in
Which of the following must be true?
IgorLugansk [536]

Answer:

A

Step-by-step explanation:

58=58

8 0
3 years ago
What is the value for x in the form of p <br> does 4(px+1)=64
spayn [35]

Step-by-step explanation:

4(px + 1) = 64

Step 1: Add -4 to both sides.

4px + 4 -4 = 64 + -4

4px = 60

Step 2: Divide both sides by 4p.

<u>4px</u> = <u>60</u>

4p 4p

x = <u>15</u>

p

3 0
3 years ago
Which expression shows 2 more than 1/5 times the sum of 7/12 and 3?
xenn [34]
The answer is D. 2+1/5×(7/12+3)
5 0
3 years ago
9 30
In-s [12.5K]

You must be dumb and have no friends

Answer:I feel bad for you

6 0
3 years ago
Simplify 5^2•(4+2^3)
Marta_Voda [28]

Remember to follow PEMDAS, and left -> right rule.

First, solve the Parenthesis:

(4 + 2^3)

Solve the exponent.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

4 + 8 = 12

_______________________________________________________________

(5^2) x (12)

5^2 = 5 x 5 = 25

25 x 12

_______________________________________________________________

Multiply

25 x 12 = 300

________________________________________________________________

300 is your answer

________________________________________________________________

<em>~Rise Above the Ordinary</em>

3 0
3 years ago
Other questions:
  • The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following l
    13·1 answer
  • Why does the problem of finding the zeros (i.e. the inputs where a function assumes the value zero) receive such disproportionat
    11·1 answer
  • Solve the equation for z^3-z^2-12z=0<br><br> The solutions are z=?, z=?, and z=?
    15·1 answer
  • Gracie earns $7 for each car she washes. she always saves $25 of her weekly earnings. this week, she wants to have at least $65
    15·1 answer
  • HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B.
    8·1 answer
  • Math i dont understand :c ___% of 6 = 3
    11·1 answer
  • Brainly isn't working ​
    10·2 answers
  • Help ples in class right now please hellp
    11·1 answer
  • in a bag the coins of 50 Paisa 25 paisa and 10 paisa are in the ratio of 2:3: 5 and its total value is rupees 90​
    5·1 answer
  • When choosing a bank, why might ATM availability be valuable to someone who values convenience over cost?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!