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:
I can't answer if you don't give enough information. Sorry!
Step-by-step explanation:
1) Not sure. The only thing that is the same is the lower quartile but that’s not an answer choice. Maybe your teacher taught it differently.
2) D. Minimum
3) C. IQR
Answer:
21.
Step-by-step explanation:
An outlier is basically a data point that is just significantly different from other data values (way higher or way lower.)
However, you can see that most of the data points range in the 50-70 points, except the 21. Therefore, it is an outlier.
The sub dives 37 feet....thats -37...it rises 16 ft....-37 + 16 = -21...then dives 18 ft.....-21 - 18 = - 39 ft
so the net change is -39 ft
