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
notka56 [123]
3 years ago
7

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy.

Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

A. 3 possible combinations

B. 8 4-ounce's bags and 3 3-ounce's bags

C. 2 4-ounce's bags and 11 3-ounce's bags

D. 8 4-ounce's bags and 3 3-ounce's bags

E. All solutions offer the same revenue.

Step-by-step explanation:

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then

4x+3y=41.

A. Find all integer solutions:

  • When x=0, then 3y=41 - impossible, because 41 is not divisible by 3.
  • When x=1, then 3y=37 - impossible, because 37 is not divisible by 3.
  • When x=2, then 3y=33, y=11 - possible.
  • When x=3, then 3y=29 - impossible, because 29 is not divisible by 3.
  • When x=4, then 3y=25 - impossible, because 25 is not divisible by 3.
  • When x=5, then 3y=21, y=7 - possible.
  • When x=6, then 3y=17 - impossible, because 17 is not divisible by 3.
  • When x=7, then 3y=13 - impossible, because 13 is not divisible by 3.
  • When x=8, then 3y=9, y=3 - possible.
  • When x=9, then 3y=5 - impossible, because 5 is not divisible by 3.
  • When x=10, then 3y=1 - impossible, because 1 is not divisible by 3.

You get 3 possible combinations.

B. 1. 2 + 11 = 13,

2. 5 + 7 = 12,

3. 8 + 3 = 11.

The minimal number of bags is 11.

C. 1. 2·7+11·5=69 cents

2. 5·7+7·5=70 cents

3. 8·7+3·5=71 cents

The cheapest is 1st solution.

D. 1. 2·6+11·5=67 cents

2. 5·6+7·5=65 cents

3. 8·6+3·5=63 cents

The cheapest is 3rd solution.

E. 1. 2·2+11·1.50=$20.50

2. 5·2+7·1.50=$20.50

3. 8·2+3·1.50=$20.50

All solutions offer the same revenue.

You might be interested in
Walker reads 72 pages of his favorite books in 3 hours. If he reads at a contestant rate, how many pages can he read in an hour?
lara31 [8.8K]

Answer:

24

Step-by-step explanation:

72/3=24 pages per hour

8 0
3 years ago
Read 2 more answers
Which of the following points is in the solution set of y
labwork [276]
Where is the picture
5 0
3 years ago
What is the sales tax on sunglasses if
earnstyle [38]

Answer: God

Step-by-step explanation: LORD HAVE MERCY

4 0
2 years ago
Billy’s mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was
pantera1 [17]

Answer:

Billy

Step-by-step explanation:

come on really?

3 0
3 years ago
Read 2 more answers
Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct
Mariana [72]

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of \frac{4}{1}=\frac{12}{9} because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

\frac{4}{1}=\frac{4\times 3}{1\times 3}

Which becomes as,

\frac{4}{1}=\frac{12}{3}

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

8 0
2 years ago
Other questions:
  • If you have 36 guests, how many liters of Yoda Soda do you need?
    14·1 answer
  • Evaluate 11! / (7-3)​
    15·2 answers
  • Please help ive been stuck on this since yesterday ​
    14·2 answers
  • Suppose that 3 balls are chosen without replacement from an urn consisting of 5 white and 8 red balls. Let Xi equal 1 if the ith
    5·1 answer
  • Factor the given quadratic function using the reverse box method. 2x2 + 3x - 9​
    8·1 answer
  • Which point represents the solution to the system?
    14·1 answer
  • A system of equations is shown below:
    9·1 answer
  • 8. You have 51 coins made up of dimes
    15·1 answer
  • I need help plzzzzzzzzz
    7·2 answers
  • Solve the differential equation (2x+y)dx+(x−2y)dy = 0
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!