Amount of sales tax in the purchase of $1256
2 answers:
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Answer:
a) Infinite solutions
b) No solutions
Step-by-step explanation:
First, know the following:
If the graphs intersect, there's only one solution.
If the graphs are parallel, there are no solutions.
If the graphs are the exact same line, there are infinite solutions.
For a):
Change the first equation into a linear one.
- 2x+3y=6
- 3y=-2x+6
Change the second equation into a linear one.
- 4x+6y=12
- 6y=-4x+12
Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.
For b)
They are already in linear form so hurray.
These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.
Answer:
The amount of steel used = 94.38
Step-by-step explanation:
Height of the tank = 4.5 m.
Diameter of the tank = 4.2 m.
But,
radius =
=
radius = 2.1 m
Total surface area of a cylinder = 2rh + 2
= 2r(r + h)
= 2 x x 2.1 (2.1 + 4.5)
= 44 x 0.3 (6.6)
= 87.12
Total surface area of a cylinder = 87.12
Since of the steel was wasted, then;
x 87.12 = 7.26
Actual area of steel sheet used = 87.12 + 7.26
= 94.38
Thus, 94.38 of steel was used in making the tank.