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melamori03 [73]
4 years ago
12

Solve for x using cross multiplication

Mathematics
1 answer:
Sergio039 [100]4 years ago
5 0

\frac{x+4}{3} = \frac{x+6}{4}

I've attached a picture showing how to do the cross multiplication. If you look at that, you'll see that once you cross multiply you get:

3 (x+6) = 4 (x+4)

Then we use the distributive property:

3x + 18 = 4x + 16

Now we need to get all the x's on one side and all the numbers on the other. Start by subtracting 3x from both sides

3x + 18 -3x = 4x + 16 -3x

On the left side they cancel out:

18 = x + 16

Subtract 16 from both sides:

18 - 16 = x + 16 - 16

It cancels out on the right, ans you get:

2 = x

There's your answer :)


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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
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Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
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igor_vitrenko [27]
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2) This is a line segment between the center and a point on the circle or sphere.
Dima020 [189]

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lbvjy [14]
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          9x = 4.23 * 1
           x= 4.23 / 9
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So in first case one toilet roll costs $ 0.47.

b) 4 toilet rolls cost $1.96
    1 toilet roll costs  $ x
     
    4x = 1.96 * 1
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So in second case one toilet roll costs $ 0.49.

0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.

Hope this heps!


8 0
3 years ago
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