Hey there!
2x + 2 = -4(x - 5)
2x + 2 = -4(x) - 4(-5)
2x + 2 = -4x + 20
ADD 4x to BOTH SIDES
2x + 2 + 4x = -4x + 20 + 4x
SIMPLIFY IT!
6x + 2 = 20
SUBTRACT 18 to BOTH SIDES
6x + 2 - 2 = 20 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: 20 - 2 because it help solve for the x-value
NEW EQUATION: 6x = 20 - 2
SIMPLIFY IT!
6x = 18
DIVIDE 6 to BOTH SIDES
6x/6 = 18/6
CANCEL out: 6/6 because it give you 1
KEE: 18/6 because it help solve for the x-value
NEW EQUATION: x = 18/6
SIMPLIFY IT!
x = 3
Therefore, your answer is: x = 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
$28.35
Step-by-step explanation:
The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.
X = 105
The circle is 360, so add the two numbers that are already present there together,. The rest two side are the same, so use 2x, x for one side, so two for two side.
85 + 65 + 2x = 360
150 + 2x = 360
2x = 210
x = 105
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
