Answer:
it means that the 2 lines will never meet, and that there will be no point where 2 things are the same amount
Answer:
12
Step-by-step explanation:
5(x-6)=2(x+3)
multiply
5*x and 5*6. 2*x and 2*3
5x-30=2x+6
minus 5x and 2x
3x-30=6
add 30 to 6
3x=36
divide both sides by 3 and the 3x cancels so 36÷3
x=12
the formula for perimeter is l+l+w+w
So 9+9+6+6= 30 meters of fence
The coins differ in value by 5¢, so swapping the numbers of them will change the value by 5¢ for each unit difference in the numbers of coins. Since
40¢ = 8 * 5¢
there must be 8 more dimes than nickels.
There are (22 +8)/2 = 15 dimes and 7 nickels.
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You could write some equations for this problem. Let n, d represent numbers of nickels and dimes.
.. n +d = 22
.. 10d +5n - (10n +5d) = 40 . . . . . . . cents
.. 5(d -n) = 40 . . . . . . . . . . . . . . . . . . reversing the coin count changes the total by 5 cents for each unit of difference (d -n), as stated above.
.. d -n = 8 . . . . . . . . . . . . . . . . . . . . . . divide the preceding equation by 5
Adding this last equation to the first gives
.. 2d = 22 +8
.. d = 30/2 = 15
.. n = 22 -15 = 7
There are 15 dimes and 7 nickels.
