<span>2x+12≥6
Subtract 12 from both sides
2x</span><span>≥-6
Divide 2 on both sides while flipping the inequality
Final Answer: x</span><span>≤-3</span>
Answer:
The two equations are not equivalent and no property is used.
Step-by-step explanation:
54 - (30 - 8) ... (i)
(54 - 30) - 8 ... (ii)
Solving (i) and applying PEMDAS:
We open the brackets first;
54 - 30 + 8 = 54 + 8 - 30 = 32
Solving (ii) and applying PEMDAS:
We open the brackets first;
54 - 30 = 24
24 - 8 = 16
72 degrees
Because a triangle is 180 degrees and 180-108 is 72.
So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!
For the final poundage, we need v3:
v3 = 6 + v2 = 6 + 9 = 15 lbs
Answer:
The z-score is 2.5106 which is an unusual value of z-score as it is greater than 2.00
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 161 pounds
Standard Deviation, σ = 23.5 pounds
x = 220 pounds
Formula:
Putting values, we get,
Thus, the z-score is 2.5106 which is an unusual value of z-score as it is greater than 2.00