Answer:
<h2><u>
4 quarters, 10 dimes</u></h2>
Step-by-step explanation:
x + y = 14 --> x = 14 - y
$0.10x + $0.25y = $2.00, or 10x + 25y = 200
- we can plug this value for x from the first equation into the second:
10(14 - y) + 25y = 200
140 - 10y + 25y = 200
140 + 15y = 200
15y = 60
y = 4 --> 4 quarters ($0.25 x 4 = $1.00)
if y = 4, then x = 14 - y --> x = 10 --> 10 dimes (0.10 x 10 = $1.00)
matches the second equation where these add up to $2.00
5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Answer:
the correct answer is 4, or D
Step-by-step explanation:
the fish is descending, meaning is is decreasing in sea level. if it descends 16 feet (8 x 2) then this would be represented by -320-16 which is -336, not 336