Answer:
x∈(-∞,3]
Step-by-step explanation:
2x-6<=5*3-5x
2x-6<=15-5x
+5x +5x
7x-6<=15
+6 +6
7x<=21
:7 :7
x<=3
x∈(-∞,3]
Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer:
6 problems per hour
Step-by-step explanation:
Total problems = 24
she completed the first 12 problems in 1 hour
The last 12 in 3 hours.
Total time = 1 hour + 3 hours
= 4 hours
unit rate for all 24 problems = total number of problems / total time taken
= 24 problems / 4 hours
= 6 problems per hour
The liters in the tank when it is filled to a height of 3.70 is 5,580 liters
The liters that needs to be added to 100% capacity is 480 liters
<h3>What is the volume?</h3>
A right circular cone is a three dimensional object has a flat circular base that tapers to a vertex. The volume of a right circular cone is the amount of space in the right circular cone.
Volume of a cone = 1/3(πr²h)
Where:
- π = pi = 3.14
- r = radius
- h = height
Volume of the right circular cone when its filled to a height of 3.70 = 1/3 x 3.14 x 3.70 x 1.20² = 5.58 m³
5.58 x 1000 = 5,580 liters
Volume of the right circular cone when it is full = 1/3 x 3.14 x 4 x 1.20² = 6.03 m³
6.03 x 1000 = 6030 liters
Liters that needs to be added to 100% capacity = 6030 liters - 5,580 liters = 480 liters
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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Notice the first two vertices are reverse from each other (a,0) to (0,a)
the fourth vertex would be the reverse of the third one.
The fourth vertex would be (2a, a)
