Answer:
x = ± 
Step-by-step explanation:
Given
x² - 7 = 0 ( add 7 to both sides )
x² = 7 ( take the square root of both sides )
x = ±
60% or 3/5 of the tank will be filled in an hour.
The pump will fill 2/5 of the tank in 2/3 hours.
In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.
<em>2/5 of tank : 2/3 hours </em>
<em>x of tank : 1 hour </em>
Cross multiply to get:
2/3x = 2/5
x = 2/5 ÷ 2/3
x = 2/5 x 3/2
= 0.6 of the tank
= 60%
= 3/5 of tank
In conclusion, 60% of the tank will be filled in an hour.
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Answer:
The distance Puis still have to travel to reach his destination is 72 km.
Step-by-step explanation:
The given parameters about Puis journey are
Distance covered by Puis = 1/4 of total distance
Distance remaining for Puis to complete the journey = 3/4 of the journey
Distance of Puis from the third-way (central) mark = 24 km
Therefore;
Distance from 1/4 of journey to 1/2 of journey = 24 km
Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km
Which gives Total distance covered by Puis = 24 km
Total distance of the journey = 4 × 24 km = 96 km
The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
-----> inequality B
Using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
