Solve for x: -10x/2+x=x+8/x
1 answer:
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Answer: 0.25 feet
Step-by-step explanation:
Given: Jonathon has paper strips that are all equal in length.
Let x be the length of each paper strip.
Since John lines them up end to end, the length of the line of paper strips= 3 feet
Also total strips used= 12
Therefore, length of line of strips=
hence, if Jonathan is correct then the length of each strip will be 0.25 feet.
Let us denote the smaller even integer by 
.
Then, the next even integer must be
.
To verify, set as any even number, say 
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Then, the next even integer must be
To verify, set
Then, the next even integer must be 2 more than this number, i.e.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this: