1. substitution....because it would be easier to just sub one y in for the other then it would be to use the elimination method
2. substitution....because in one of the equations, u already have y...so just sub 6x - 13 in for y in the other equation
3. elimination....all u have to do is add them and ur y terms are eliminated, allowing u to find x
4. substitution....sub in x + 1 for y in the other equation
2x + 4(x + 1) = 28 y = x + 1
2x + 4x + 4 = 28 y = 4 + 1
6x = 24 y = 5
x = 4
the solution for this system is : (4,5)
5. elimination..
3x - y = -1 3(-2) - y = -1
2x + y = -9 -6 - y = -1
------------------add -y = -1 + 6
5x = -10 -y = 5
x = -2 y = -5
the solution to this system is : (-2,-5)
6. substitution.....sub in one y for the other
2/3x - 1 = -x + 4 y = -x + 4
2/3x + x = 4 + 1 y = -3 + 4
5/3x = 5 y = 1
x = 5 * 3/5
x = 3
so the solution to this system is (3,1)
7. substitution...sub one y in for the other
296 - 10x = 200 + 6x y = 200 + 6(6)
296 - 200 = 6x + 10x y = 200 + 36
96 = 16x y = 236
6 = x
so the solution for this system is (6,236)
Answer:
Step-by-step explanation:
4
unit digit=4
cube=64
Answer:
Step-by-step explanation:
Hope it helps! :)
Answer:
10 10/11
Step-by-step explanation:
Answer:
a) 30%
b) 75.99%
Step-by-step explanation:
a) The probability that one random person will be able to speak English is equal to the percent of the population that speaks English. This is because, in the country, (number of favorable outcomes)/(number of total outcomes) = 30% = 0.3 = 3/10
b) The probability that at least one person speaks English is equal to 1 - (probability that none of them speak English). Of the 4 people, if N represents them not speaking English and Y represents them speaking English, here are a few possiblities:
NNNN
NYYY
NNYY
NNNY
YNNN
and so on. However, there is only one possibility where none of them speak English, and the opposite of "none" is "at least one". So, the probability thsat none of them speak English is P(A and B and C and D) = P(A)*P(B)*P(C)*P(D), where P(A) represents the probability that the first person doesn't speak English and so on. The probability that the first person doesn't speak English = 1 - (probability that the first person speaks English) = 1 - 30% = 0.7. Therefore, the probability that all of them don't speak English is 0.7^4 = 0.2401 and the probability that at least 1 of them speak English is 1- 0.2401 .= 0.7599 = 75.99%
