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Galina-37 [17]
3 years ago
8

a chessboard has 64 squares at a chess tournament 84 chessboards were used how many squares are there on 85 chessboards

Mathematics
2 answers:
jasenka [17]3 years ago
5 0
There are 5376 squares on all of the chessboards because 84 x 64= 5376
lidiya [134]3 years ago
5 0

Answer:

5,440 squares.

Step-by-step explanation:

We have been given that a chessboard has 64 squares. At a chess tournament 84 chessboards were used.

To find the number of squares on 85 chessboards, we will multiply number of squares on each chess board by number of total chess boards.

\text{The number of squares on 85 chessboards}=\frac{\text{64 squares}}{\text{Chess board}}\times \text{85 chess boards}

\text{The number of squares on 85 chessboards}=\text{64 squares}\times 85

\text{The number of squares on 85 chessboards}=5440\text{ squares}

Therefore, there are 5440 squares on 85 chess boards.

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Twice a number plus twice a second number is 310. The difference between the numbers is 55
agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//<em>If you</em>'<em>re wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//</em>

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

<u>So, x = 105 and y = 50</u>

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Step-by-step explanation:

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