a 12-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. find the length of both pieces. what is the length of the shorter piece

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Answer 1

Answer: The longer piece would be 7.5f and the shorter 4.5

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4s-12= 5s+51 what is the solution

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Given data:

The given expression is 4s-12=5s+51.

The given expression can be written as,

4s-12=5s+51

4s-5s=51+12

-s=63

s=-63

Thus, the value of s is -63.

julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of julie's pen?

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The answer is 8 m by 16 m. I just answered this on my quiz.

the answer is 8 and 16

Find the sum of the first 8 terms of the geometric sequence if the first term is 9 and the common ratio is -3.

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hmmmm let's see $\bf \textit{sum of a finite geometric sequence}=S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\n\n\begin{cases}n=n^(th)\ term\na_1=\textit{first term}\nr=\textit{common ratio}\end{cases}\qquad thus\implies S_8=9\left( \cfrac{1-(-3)^8}{1-(-3)} \right)$

Arange the number line in the following spending order 20,-40,5-1,10