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
sattari [20]
3 years ago
13

Lilth makes soap and lotion. It takes her 20 minutes to make a batch of soap and 35 minutes to make a batch of lotion. The cost

of producing each batch are $5 for the soap and $15 for the lotion. Lilth has 20 hours available to make soap and lotion. The materials to make the soap and lotion must cost at most $325. The systems of linear inequalities represent this situation. 5x+15y is less than or equal to 325 20x+35y is less than or equal to 1200 what does the solution (53, 4) represent?
Mathematics
1 answer:
fgiga [73]3 years ago
6 0

Answer:

Step-by-step explanation:

Let x represent the number of batches of soap that Lilth makes.

Let y represent the number of batches of lotion that Lilth makes.

It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that

x/3 + 7y/12 = 20

4x + 7y = 240- - - - - - - - - - -1

The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that

5x + 15y ≤ 325 - - - - - - - - -2

4x = 240 - 7y

x = (240 - 7y)/4

Substituting

5(240 - 7y)/4 + 15y ≤ 325

(1200 - 35y)/4 + 15y ≤ 325

1200 - 35y + 60y ≤ 1300

25y ≤ 1300 - 1200

25y ≤ 100

y ≤ 100/25

y ≤ 4

4x + 7 × 4 = 240

4x + 28 = 240

4x = 212

x = 212/4 = 53

Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion

You might be interested in
A rectangle has a perimeter of 46 inches.The width of the rectangle is 7 inches.What is the length of the rectangle,in inches
FinnZ [79.3K]

Answer:

74 inches

Step-by-step explanation:

87

8 0
3 years ago
5/9 -7/15 divided by 1 5/9 ×7/15
Greeley [361]
Hi there,

the first part equals 4/45 and the second part equals 7/9

4/45 divided by 7/9 = 0.00141093474
Hope this helps :)<span>
</span>
3 0
3 years ago
Read 2 more answers
the park family is staying at a hotel for 3 nights the hotel cost $129 per night how much will their 3 night stay in the hotel c
gladu [14]
It will cost 387 for 3 nights
5 0
3 years ago
Read 2 more answers
Jenny was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is
Blizzard [7]
4 dirhams is equal to 1 dollar so if you were to multiply each by 5 you would have 20 dirhams equaling 5 dollars
5 0
2 years ago
Solving an equation involving complementary or supplementary angles! Please help I really would appreciate it
Schach [20]
2x + x + 33 = 90
3x + 33 = 90
3x = 57
x = 19
Angle 1 = 38°
Angle 2 = 52°
8 0
3 years ago
Other questions:
  • Brainliest + points! <br><br> Please HELP and explain
    13·1 answer
  • The random variable is x represents the number of cars per household in a town of 1000 households, find the probability of rando
    8·1 answer
  • A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies do
    13·1 answer
  • A color called “shocking pink” is made by mixing red paint with white paint. The ratio of red to white is 2 to 7. How much red p
    8·1 answer
  • What is the simplified form of (cube root of)16
    13·1 answer
  • Find a number that is 20 less than three times its opposite.
    8·1 answer
  • A scientist is experimenting with bacteria in his laboratory He starts out with 3 bacteria
    6·1 answer
  • What is this!!!!!!!!!!!!
    8·1 answer
  • In the figure shown, what is m _A? Explain.<br> 57°<br> B<br> с
    11·1 answer
  • Pick number 1-10 if you get it right ill pay 50 dollas
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!