45+55=100 180-100=80 that makes y = 80, and vertical angles makes x=80
Answer:
About 34%
Step-by-step explanation:
Given that :
Mean, m = 59 ; Standard deviation, s = 3
Bulb replacement numbering between 59 and 62
For, x = 59
Zscore = (x - m) / s
Z = (59 - 59) / 3 = 0
For x = 62
Z = (62 - 59) / 3 = 1
P(Z < 1) - P(Z < 0)
0.84134 - 0.5
= 0.34134
About 34%
Answer:
- 5
Step-by-step explanation:
The opposite of 7c is - 7c, thus the sum is
7c - 5 + (- 7c)
= 7c - 5 - 7c ← collect like terms
= - 5
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