Answer:
n > -2 or n < -3
Step-by-step explanation:
|2n+5| > 1
We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative
2n+5 > 1 or 2n+5 < -1
Subtract 5 from each side
2n+5-5 > 1-5 2n+5 -5 < -1 -5
2n >-4 2n < -6
Divide by 2
2n/2 > -4/2 2n/2 < -6/2
n > -2 or n < -3
Answer:
1.28 m
Step-by-step explanation:
The speed at which water rises in the tank is proportional to the speed of the water in the pipe and inversely proportional to the ratio of the tank area to the pipe area.
The ratio of tank area to pipe area is the square of the ratio of their diameters:
((150 cm)/(4 cm))² = 1406.25
Then the rate of rise of water in the tank is ...
(0.5 m/s)/(1406.25)
After 1 hour = 3600 seconds, the height of the water will be ...
rise = (time)(rate of rise)
(3600 s)(0.5 m/s)/1406.25 = 1.28 m
Answer:
Step-by-step explanation:
Answer:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
Answer:
A ) x < 48
B ) X less than or equal to 8
C ) 4/5
Step-by-step explanation:
I hope this helps you out!
