Answer:
8x + 16y = 39 and
40x + 8y = 42
Step-by-step explanation:
Let the length of the blue tiles is b inches and that of the white tiles is w inches.
So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.
Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as
8x + 16y = 39 and
40x + 8y = 42 (Answer)
<span>A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard. </span>
Answer:
1.09
Step-by-step explanation:
I *really* wish I had work to show, but I just used a calculator as it is a simple division problem. Since you can do long divison, here are the steps! It is very hard to show on here, so I have typed it out:
Step 1: Estimate the answer by rounding. You'll use this estimate to check your answer later.
Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number. Then move the decimal place in the dividend the same number of places to the right (adding some extra zeros if necessary.)
Step 3: Divide as usual. If the divisor doesn't go in evenly, add zeros to the right of the dividend and keep dividing until you get a 0 remainder, or until a repeating pattern shows up.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step 5: Check your answer against your estimate to see if it's reasonable.
