1. Choose the correct solution in roster form.
2 answers:
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Step-by-step explanation:
To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the variable when we add the two equations together.
Right now, there's a term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get , which does not equal
, meaning there are no solutions to this system of equations.
Given:
Volume of a cubed room = 8000 cubic ft
Cost of floor hardwood = $10 per square foot
To find:
The total cost of floor hardwood.
Solution:
Let the each side of cubed room be x ft.
Volume of a cube is cube of its side.
Volume of a cubed room is 8000 cubic ft. So,
Taking cube root on both sides.
So, length of each of room is 20 ft.
Area of base = length × breadth
So, area of base of room is
It means, 400 sq ft hardwood is required for the floor.
Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is
The hardwood floors will cost $4000.