The solution is x=1 and y=-2
Further explanation:
Given equations are:
Multiplying equation no. 1 with 2 will give us:
Eqn 3
From equation no 2:
Putting the value of y in eqn 3
The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
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Answer:
Given MC = 4
AN = 14
To Find, the length of NB
Step-by-step explanation:
AB is a line which has midpoint “C”. Now the line is divided into two equal portion AC and CB.
The AC has midpoint “M” and MC is 4, so AM will also be 4.
N is the midpoint of CB. So, CB = CN + NB
Now we know AC = AM + MC = 4 + 4 =8
Given, AN = 14
AN = AC + CN
14 = 8 + CN
CN = 6
Since N is the midpoint of CB then, CN = NB
Therefore, the NB is 6
I think when you copied and pasted your question it re arranged itself
There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
Answer:
Step-by-step explanation:
Remark
The last digit is 1 3 5 7 9 because the last digit is odd.
The first digit must be a 3 because the number is between 300 and 350
Let the first digit = x
Let the second digit = y
Let the third digit = z
x + y = z
x + y + z = 14 Substitute z for x + y
z + z = 14 Combine
2z = 14 Divide by 2
2z/2 = 14/2
z = 7
The first digit is 3 and the third digit = 7
The middle digit is 3 less than the last digit.
y = 7 - 3 = 4
Answer
347
