<span>A cube Has 6 sides.So,n(A)=6={1,2,3,4,5,6} Probability to getting number 4 in a cube is Event A. n(s)=1 Probability of event A that occurs : P(A) = 1/6. P(A)=0.167 Probability of event A that does not occur P(A') = 1 - 0.167 =0.833 Probability to getting number 4 in a cube is 0.167</span>
Elimination method:
4m = n + 7
3m + 4n + 9 = 0
<em>First, let's get the equations in the same form.</em>
4m - n - 7 = 0
3m + 4n + 9 = 0
<em>Now let's make multiply the first equation by 4 so we can eliminate n.</em>
16m - 4n - 28 = 0
+3m + 4n + 9 = 0
<em>Now we can add the equations.</em>
16m + 3m - 4n + 4n - 28 + 9 = 0
19m + 0n - 19 = 0
19m - 19 = 0
19m = 19
<em>m = 1</em>
<em>Now we put m back into one (or both) of the original equations.</em>
4(1) = n + 7
4 = n + 7
<em>n = -3</em>
<em>If you plug m into the other equation, you get the same result.</em>
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Substitution method:
4m = n + 7
3m + 4n + 9 = 0
<em>With this method, we plug one of the equations into the other one. I'm going to use m in the second equation as a substitute for m in the second equation.</em>
3m + 4n + 9 = 0
3m = -4n - 9
m = (-4/3)n - 3
<em>Now I can substitute the right side into the first equation like so:</em>
4[(-4/3)n - 3] = n + 7
(-16n)/3 - 12 = n + 7
(-16n)/3 = n + 19
-16n = 3(n + 19)
-16n = 3n + 57
0 = 16n + 3n + 57
0 = 19n + 57
0 = 19n/19 + 57/19
0 = n + 3
<em>-3 = n</em>
<em>And then we put that back into one of the original equations.</em>
4m = n + 7
4m = -3 + 7
4m = 4
<em>m = 1</em>
Hopefully you learned something from this.
Answer:
£1756.70
Step-by-step explanation:
2155.45 * .185 = 398.75825
21.55.45 - 398.75825 = 1756.69175
Hope this helps
Answer:7/12
Step-by-step explanation:there are 12 coins in total and 7 of them are pennies
28.90... because 36.12 times 0.20% is 7.22 and 37.12 subtract 7.22 is 28.90