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
Feliz [49]
3 years ago
7

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chancee choos

es x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chancee found the correct solution. If not, state the correct solution.

Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

No, Chancee mixed up the variables, the correct solution is that x must be between 20 and 40 and y must be between 0 and 10.

Step-by-step explanation:

Here, x and y are positive integers,

Such that, their sum is not more than 40,  

i.e. x + y ≤ 40 where x, y ≥ 0,

⇒ y ≤ 40 - x                 ...............(1),

Their difference is at least 20,

i.e. x - y ≥ 20

-y ≥ 20 - x

⇒ y ≤ x - 20   ............(2),

Graphing y ≤ 40 - x :

Related equation of inequality (1),

y = 40 - x

if x = 0, y = 40,

if y = 0, 0 = 40 - x ⇒ x = 40,

'≤' represents a solid line,

Join the points (0, 40) and (40, 0) by solid line.

Graphing y ≤ x - 20:

Related equation of inequality (1),

y = x - 20,

if x = 0, y = -20,

if y = 0, 0 = x - 20 ⇒ x = 20,

'≤' represents a solid line,

Join the points (0, -20) and (20, 0) by solid line.

By graphing we obtained a feasible region that is the solution of the system of inequalities (1) and (2) ( shown below ),

In which,

20 ≤ x ≤ 40 and 0 ≤ y ≤ 30

Hence, Chancee did not find the correct solution.

You might be interested in
2<br> 2<br> (2,2)<br> 4<br> 2<br> 2<br> 4<br> x<br> -2<br> (1,-2)What is the slope
GarryVolchara [31]

Answer:

21

Step-by-step explanation:

8 0
3 years ago
What is the volume of the rectangular prism
harkovskaia [24]

Answer:

Step-by-step explanation:

you got this i believe in you!

6 0
2 years ago
Find the final amount of money in an account if
LuckyWell [14K]

Answer:

10213.33

Step-by-step explanation:

use the formula to answer this question

principal=7,200

rate=0.06

compounded anually=1

time=6

Hope it helped..

3 0
3 years ago
What is -2+9 (8) (1/2)​
Kisachek [45]

Answer:

28

Step-by-step explanation:

-2+9 (4)=7(4)=28

5 0
2 years ago
Write the polynomial 4x^2 - 6x^6 + 2x^3 +12 - 5x^3 + 4x^4 in standard form
Fofino [41]

Answer:

-6x^6 + 4x^4 - 3x^3 + 4x^2 + 12

Step-by-step explanation:

-6x^6 + 4x^4 - 5x^3 + 2x^3 + 4x^2 + 12

-6x^6 + 4x^4 - 3x^3 + 4x^2 + 12

5 0
2 years ago
Read 2 more answers
Other questions:
  • 4
    14·1 answer
  • HELP!!! WILL MARK BRANLIEST!! What is the equation of the graph below?​
    8·1 answer
  • X-9= -6 inverse operation
    12·2 answers
  • A skyscraper is 396 meters tall. At a cenrtain time of day, it casts a showdow that is 322 meters long. At what angle is the sun
    12·2 answers
  • When may it be a good idea to use scientific notation for si prefixes?
    13·1 answer
  • 13. The equation of line l is given as y = 0.6x – 4.
    5·1 answer
  • Factories A, B and C produce computers. Factory A produces 4 times as manycomputers as factory C, and factory B produces 7 times
    12·1 answer
  • 1. A flower arrangement has seven carnations and 21 daffodils. What is the ratio of carnations to daffodils in the arrangement?
    9·2 answers
  • Look at the picture love
    5·1 answer
  • Wärmelehre - German<br> 20 Words
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!