Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.
Step-by-step explanation:
- Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
- Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.
⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50
⇒ 1.58 C + 31.2 - 0.78 C = 60
⇒ 1.58 C - 0.78 C = 60 - 31.2
⇒ 0.8 C = 28.8
⇒ C = 36 pounds
- Step 3: Calculate number of pounds of walnuts
⇒ Number of pounds of walnuts = 40 - C = 4 pounds
Answer:
P = 0.05
Step-by-step explanation:
12 months * 30 days each = 360 days
From 306 days, we have to select 8 days = 360C8 ways(Total ways)
We want each days from different month. First, we have to select 8 month from 12 month = 12C8 ways
---By selecting 8 month, we will select a days from each month. That can be done in = 30C1 * 30C1 * .................30C1 (8 ways) [From a month with 30 days, we can select a day in 30C1 ways = 30 ways]
Therefore P = Number of ways of selecting each days from different month / Total number of ways
P = 12C8 * 30^8 / 360C8
P = 495 * 656100000000 / 6469697679132645
P = 0.0501985588982791
P = 0.05
Hence the probability that each day is from a different month is 0.05
Hope this is correct and hope it helps x
Answer:
Triangle DEF is not a right triangle ; possible lengths are 20 & 15
Step-by-step explanation:
For right triangle;
the sum of the square of the two adjacent sides must equal the square of the hypotenus.
Therefore, (6^2)+(11^2)≠(13^2).
the possible length are 20 & 15 because
(20^2)+(15^2)=(25^2)
Answer: C.
Step-by-step explanation:
C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)
