Yes it has 2 sets of parallel lines.
Answer:
$225.50 (nearest cent)
Step-by-step explanation:
1 foot ≈ 0.3048 m
Width of room = 15 ft ≈ 15 x 0.3048 = 4.572 m
Length of room = 18 ft ≈ 18 x 0.3048 = 5.4864 m
Area of room = width x length = 4.572 x 5.4864 = 25.0938208... m²
Cost of carpet = $8.99 per m²
Total cost of carpet = 25.0938208 x 8.99 = $225.50 (nearest cent)
We have two relations between length and width. One is given in the problem statement. The other is given by the formula for perimeter. We can solve the two equations in two unknowns using substitution.
Let w and l represent the width and length of the sign in feet, respectively.
... l = 2w -12 . . . . . the length is 12 ft less than twice the width
... p = 2(l +w) = 114 . . . . the perimeter is 114 ft
Using the first equation for l, we can substitute for l in the second equation.
... 114 = 2((2w -12) +w)
... 114 = 6w -24 . . . . . . . . simpify
... 138 = 6w . . . . . . . . . . . add 24
... 23 = w . . . . . . . . . . . . . divide by 6
... l = 2w -12 = 2·23 -12 = 34 . . . . use the equation for l to find l
The length and width of the sign are 34 ft and 23 ft, respectively.
Answer:
3 to the power of 12
Step-by-step explanation:
first add the exponents 3 and 6
3^18/3^6
then calculate the quotient and you get
3^12