a furlong is a unit of measure used in horse racing. every year, horses race 10 furlongs in the kentucky derby, one furlong is e
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The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
<h3>What is a sequence?</h3>It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The total length of the wood = 90 in
We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.
We can cut it like:
1 in, 2 in, 3 in, 4 in, and so on
The above shows the arithmetic sequence,
The sum of the n natural number is given by:
After solving, we will get a quadratic equation:
n² + n -180 = 0
After solving, we will get:
n = 12.92 and n = -13.92(term can not be negative)
n = 12 (taking whole number)
Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
Learn more about the sequence here:
#SPJ1
<h3>Answer:</h3>
A. +-5x+14x+-35
+9x-35
B.
C.
D.
Step-by-step explanation:
A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)
Multiply and simplify.
+9x-35
B. ()+(
-3x)+(2x
)+(2x
)
Multiply and simplify.
C.
Multiply and simplify.
D.
Multiply and simplify.
I hope this helps!
But you should really do this yourself.