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
The ratio of teachers to students at a school is 3:74 there are 2500 students at the school about hiw many teachers are at the s
zhannawk [14.2K]

Answer:

The answer is 101. There are 101 teachers.

8 0
3 years ago
Need help. Please hep
alexandr1967 [171]
Cant see the image can you send it by an email

4 0
3 years ago
Read 2 more answers
Will give brainleist
Natalka [10]

Answer:

A.) 3n+m+2p

Step-by-step explanation:

8 0
2 years ago
Write the expression in standard form<br><br> 1/5(5x−10)−3
maxonik [38]

Answer:

x-5

Step-by-step explanation:

1/5(5x-10)-3

5/5x-10/5-3

x-2-3

x-5

4 0
3 years ago
Frui o rama sells dried pineapple for per ounce magd spent a total of 2.65 on pineapple how many ounces did she buy
Dimas [21]

Answer:we need more info

Step-by-step explanation:how much does it cost per pound?

3 0
2 years ago
Other questions:
  • The table below shows the values of y for different values of x:
    5·1 answer
  • A circle is divided into 9 equal parts. What is the angle measured of two of those parts?What is the degrees
    10·1 answer
  • A train travels 56 kilometers in 4 hours, and then 90 kilometers in 2 hours. what is its average speed?
    6·1 answer
  • Multiply. Please help ASAP!<br> ( -2/3 )( 1/6 )
    12·2 answers
  • The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
    7·1 answer
  • What sentence about markdowns and markups is true?
    12·1 answer
  • at a local soccer game, 6/7 of the people were fans. one-half of those fans were wearing hats. what fraction of the people was w
    10·1 answer
  • The parking meter charges $2 for the first hour, then $.75 for each hour thereafter. Nate only has $5. How many hours can he par
    13·2 answers
  • Ahmad deposits $5000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in th
    12·1 answer
  • Can someone please help me you have to explain your answer plzzz help<br> ?!?!?!?!?!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!