Hello,
Very nice as problem.
2 solutions:
1 quater,8 dimes, 2 pennies
and
3 quaters,3 dimes, 2 pennies
since
107=( 0, 0, 107) but : 100= 0*25+ 0*10+ 100
107=( 0, 1, 97) but : 100= 0*25+ 1*10+ 90
107=( 0, 2, 87) but : 100= 0*25+ 2*10+ 80
107=( 0, 3, 77) but : 100= 0*25+ 3*10+ 70
107=( 0, 4, 67) but : 100= 0*25+ 4*10+ 60
107=( 0, 5, 57) but : 100= 0*25+ 5*10+ 50
107=( 0, 6, 47) but : 100= 0*25+ 6*10+ 40
107=( 0, 7, 37) but : 100= 0*25+ 7*10+ 30
107=( 0, 8, 27) but : 100= 0*25+ 8*10+ 20
107=( 0, 9, 17) but : 100= 0*25+ 9*10+ 10
107=( 0, 10, 7) but : 100= 0*25+ 10*10+ 0
107=( 1, 0, 82) but : 100= 1*25+ 0*10+ 75
107=( 1, 1, 72) but : 100= 1*25+ 1*10+ 65
107=( 1, 2, 62) but : 100= 1*25+ 2*10+ 55
107=( 1, 3, 52) but : 100= 1*25+ 3*10+ 45
107=( 1, 4, 42) but : 100= 1*25+ 4*10+ 35
107=( 1, 5, 32) but : 100= 1*25+ 5*10+ 25
107=( 1, 6, 22) but : 100= 1*25+ 6*10+ 15
107=( 1, 7, 12) but : 100= 1*25+ 7*10+ 5
107=( 1, 8, 2) is good
107=( 2, 0, 57) but : 100= 2*25+ 0*10+ 50
107=( 2, 1, 47) but : 100= 2*25+ 1*10+ 40
107=( 2, 2, 37) but : 100= 2*25+ 2*10+ 30
107=( 2, 3, 27) but : 100= 2*25+ 3*10+ 20
107=( 2, 4, 17) but : 100= 2*25+ 4*10+ 10
107=( 2, 5, 7) but : 100= 2*25+ 5*10+ 0
107=( 3, 0, 32) but : 100= 3*25+ 0*10+ 25
107=( 3, 1, 22) but : 100= 3*25+ 1*10+ 15
107=( 3, 2, 12) but : 100= 3*25+ 2*10+ 5
107=( 3, 3, 2) is good
107=( 4, 0, 7) but : 100= 4*25+ 0*10+ 0
Answer:
1 degree celcius. it is only 1 degree away from 0 degrees celcius. hope this helps
Step-by-step explanation:
Option D: 
is the solution to the inequalities.
Explanation:
From the given graph, we can see that the equation of the inequalities are
and 
To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities and 
Thus, we have,
Option A: 
Substituting the coordinates in and , we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option A is not the correct answer.
Option B: 
Substituting the coordinates in and , we get,
is not true.
is not true.
Since, both the equations does not satisfy the condition, the coordinate is not a solution.
Hence, Option B is not the correct answer.
Option C: 
Substituting the coordinates in and , we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option C is not the correct answer.
Option D:
Substituting the coordinates in and , we get,
is true.
is true.
Since, both equation satisfies the condition, the coordinate is a solution.
Hence, Option D is the correct answer.
1) 1/2 * 1/2 = 1/4
2) 43/100 of mine were heads, and (.43)^2 = .1849
3) 1/2 * 1/2 = 1/4
4)57/100 of mine were tails, and (.57)^2 = .3249
5) 1/2 * 1/2 * 2 (multiply by 2 because order doesn't matter) = 1/2
6) .43 *.57 = .2451
7) There is probably a difference becasue there wasn't enough data. The more times you flip the coin, the closer you'd get to 1/2 head 1/2 tails (theoretically), but you can't flip a coin an infinite amount of times, so it (usually) will not give you an exact 1:1 ratio between heads and tails
