Answer:
y = 6 so
2x + 3y = 36y is equal to:
2x + 3*6 = 36*6
-> 2x + 18 = 216
We must now move 18 to the other side of the equation. As we do that, we also change it's sign to negative 18:
2x = 216 - 18
We simplify this
2x = 198
Now, that we got to this point, we know that 2x is equal to 198. To find x we must divide the both sides of the equation by two:
2x/2 = 198/2
And we get that
x = 99
Step-by-step explanation:
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
It's a 4th degree polynomial since the largest degree (exponent) is 4
Answer:
60 inches
Step-by-step explanation:
The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.
<h3>Rectangle dimensions</h3>
The square has a side length of ...
P = 4s ⇒ s = P/4 . . . . . P is perimeter, s is side length
(60 in)/4 = 15 in . . . . length of the side of the square
The square has an area of ...
A = s²
A = (15 in)² = 225 in²
When 1 tile is removed, the resulting area, in square inches, is ...
A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16
<h3>Perimeter</h3>
The perimeter of a rectangle is given by ...
P = 2(L+W)
For this rectangle, the perimeter is ...
P = 2(14 in + 16 in) = 2(30 in) = 60 in
The perimeter of the rectangle is 60 inches.
The answer to your question is 2.
