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
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LINES AND ANGLES
After observing we get as ..Going horizontal manner we get
1) Alternate Exterior Angles
2) None of these
3) Corresponding Angles
4)Alternate interior Angles
5) Corresponding Angles
Answer:The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.
Step-by-step explanation:
Answer:
12,867.859375
Step-by-step explanation:
24.5/7 = 3.5
Geometric sequence
A_n = 7 * (3.5)^(n - 1)
A_7 = 7 * (3.5)^(7 - 1)
A_7 = 12,867.859375
Answer:
36(5)^-2.
Step-by-step explanation:
5^-2 * 9
= 9(5)^-2
2^4 * 4 ^ -3
= 2^4 + (2^2)^-3
= 2^4 * 2^-6
= 2^-2
So the answer is
9(5^)-2 / 2^-2
= 9(5)^-2 * 2^2
= 4*9(5)^-2
= 36(5)^-2.
