Length=13
Height=10
Area=LxH/2 = 13x10/2= 130/2=65
Area=65
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
Answer:
⅖ is the slope
Step-by-step explanation:
To find slope:
A. 3 because I did this before and got it Correct
The solution to the inequalities 3x + 5 < 6x + 8 and 4x + 3 < 7x + 5 is x > -1 and x > -2/3 respectively
<h3>Inequality</h3>
Inequality signs are;
- Greater than >
- Less than <
- Equal to =
- Less than equal to ≤
- Greater than equal to ≥
3x + 5 < 6x + 8
3x - 6x < 8 - 5
-3x < 3
x > 3/-3
The inequality sign is flipped from < to greater than because of the division with negative value.
x > -1
2. 4x + 3 < 7x + 5
4x - 7x < 5 - 3
-3x < 2
The inequality sign is flipped from < to greater than because of the division with negative value.
x > -2/3
Learn more about inequality:
brainly.com/question/25275758
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