Step-by-step explanation:
remember, when you multiply 2 expressions, you need to multiply every term of one expression with every term of the other expression and then add the results up (while considering their individual signs, of course).
1)
2(s + 8) = -(4s + 2)
2×s + 2×8 = -4s + -2
2s + 16 = -4s - 2
6s + 16 = -2
6s = -18
s = -3
2)
-(8 - 7b) = 6(2 + b)
-8 - -7b = 6×2 + 6×b
-8 + 7b = 12 + 6b
-8 + b = 12
b = 20
3)
6(4x - 11) = 9 - x
6×4x - 6×11 = 9 - x
24x - 66 = 9 - x
25x - 66 = 9
25x = 75
x = 3
4)
-5(4 - x) = 2(-x - 3)
-5×4 - -5×x = 2×-x - 2×3
-20 + 5x = -2x - 6
-20 + 7x = -6
7x = 14
x = 2
5)
-6(y - 1) = 4(9 + y)
-6×y - -6×1 = 4×9 + 4×y
-6y + 6 = 36 + 4y
-10y + 6 = 36
-10y = 30
y = -3
6)
7(2s + 6) = 5(s - 6)
7×2s + 7×6 = 5×s - 5×6
14s + 42 = 5s - 30
9s + 42 = -30
9s = -72
s = -8
7)
z + 4 = 8(-z + 5)
z + 4 = 8×-z + 8×5
z + 4 = -8z + 40
9z + 4 = 40
9z = 36
z = 4
8)
-2(3 + 5x) + 3(1 - x) = 10
-2×3 + -2×5x + 3×1 - 3×x = 10
-6 - 10x + 3 - 3x = 10
-3 - 13x = 10
-13x = 13
x = -1
Dover to Weston is 5.3 km + 5.4 km = 10.7 km
Dover to Morristown 9.5 km
10.7 - 9.5 = 1.2 km farther
Answer: 1.2 km
Answer: 0.0475
Step-by-step explanation:
Given : A firm’s marketing manager believes that total sales X can be modeled using a normal distribution.
Where , Population mean :
Standard deviation :
To find : Probability that the firm’s sales will exceed $3 million i.e. $ 3,000,000.
∵
Then , for x= 3,000,000
Then , the probability that the firm’s sales will exceed $3 million is given by :-
Hence, the probability that the firm’s sales will exceed $3 million = 0.0475
B, maybe? i think it is, but cant say for sure.
Answer:
x<14/3
Step-by-step explanation:
-10+3x<4
3x<4+10
3x<14
x<14/3
If this helps please mark as brainliest