Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
This solution has no solutions because when you do a substitution method you might end up getting rid of the variable and left with a constant.
Given:
12 rectangular planks
2 sides per plank
Length = 8 ft
Width = 3 ft
Area of a rectangle = Length * Width.
A = 8ft * 3ft
A = 24 ft²
24 ft² x 2 sides of a plank = 48 ft²
48 ft²/plank * 12 planks = 576 ft² is the total area Alex needs to varnish.
576 ft² ÷ 125 ft² = 4.608 pint or round to 5 pints
5 pints x $3.50/pint = $17.50 Total cost that Alex need to spend to varnish all the wooden planks.
Answer:
42ft^2
Start by splitting the "trapezoid" into two shapes ; triangle and square.
The triangle is a right triangle, so we can use the Pythagorean theorem to find its bottom side so we can find the unknown length of the square. This will also tell us the base of the triangle.
3^2 + b^2 = 5^2
b = 4
This means the square has the dimensions of 9ft by 4ft.
Multiply 9(4) for the area of the square --> A = b(h) = 9(4) = 36ft^2
Now for the triangle,
A= 1/2(b)(h)
base is 4, height is 3 thus:
A=1/2(4)(3) --> 12(1/2) = 6ft^2
Add the area of the triangle and square for the total area:
36ft^2 + 6ft^2 = 42ft^2
