(20*30)/2 = 300
300 km is the area of the triangle
Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Answer:
y = 3·2^x
Step-by-step explanation:
At x=0, f(0) = a = 3
At x=1, f(1) = a·b = 3b = 6 ⇒ b = 6/3 = 2
So, the function is ...
f(x) = 3·2^x
1. There are 10 ducks in total, 5 in each pool.
2. For each pool, the probability of picking a certain numbered duck—for instance, #3—is 20%.
3. Because the pools are separate with, picking one duck from one pool does not affect the chance of picking a certain duck from the other pool.
4. Therefore, the probability that a contestant wins the game is 20%.
Good luck!
Answer:
1/46656 I believe. probability isn't really my strong suit tho.
Step-by-step explanation:
1/6 chance for rolling a one × 1/6 chance of rolling a two and so on.
so you get
1/6 × 1/6 × 1/6 × 1/6 × 1/6 × 1/6 = 1/46656