Answer:
The answer is: there is 89.2% of the dog food remaining.
Step-by-step explanation:
Given: 31 1/4 lbs of dog food.
In one week - 3 1/8 lbs was used.
To find the amount left, subtract:
31 1/4 - 3 1/8 =
30 5/4 - 3 1/8 =
30 10/8 - 3/8 =
27 7/8 remaining.
To find the percent left, divide:
27 7/8 / 31 1/4 =
27.875 / 31.25 = .892.
Multiply by 100 to get percent:
.892 * 100 = 89.2% remaining.
Hope this helps!! Have an Awesome day!!! :-)
Answer:
z/y
Step-by-step explanation:
the quotient of z and y
this does no require any work just understand the question
the quotient of z and y means z divide by y
z/y
now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus 
.
so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.
![\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1} \right)\\\\\\S_4=2000(4.641)\implies S_4=9282](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bsum%20of%20a%20finite%20geometric%20sequence%7D%5C%5C%5C%5CS_n%3D%5Csum%5Climits_%7Bi%3D1%7D%5E%7Bn%7D%5C%20a_1%5Ccdot%20r%5E%7Bi-1%7D%5Cimplies%20S_n%3Da_1%5Cleft%28%20%5Ccfrac%7B1-r%5En%7D%7B1-r%7D%20%5Cright%29%5Cquad%20%5Cbegin%7Bcases%7Dn%3Dn%5E%7Bth%7D%5C%20term%5C%5Ca_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5Cr%3D%5Ctextit%7Bcommon%20ratio%7D%5C%5C----------%5C%5Ca_1%3D2000%5C%5Cr%3D1.1%5C%5Cn%3D4%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5CS_4%3D2000%5Cleft%5B%20%5Ccfrac%7B1-%281.1%29%5E4%7D%7B1-1.1%7D%20%5Cright%5D%5Cimplies%20S_4%3D2000%5Cleft%28%5Ccfrac%7B-0.4641%7D%7B-0.1%7D%20%20%5Cright%29%5C%5C%5C%5C%5C%5CS_4%3D2000%284.641%29%5Cimplies%20S_4%3D9282%20)
The area is the product of length and width.
.. area = length * width
.. 61 5/8 = (7 +7 1/2) * width
.. (61 5/8)/(14 1/2) = width = 4 1/4 . . . . feet
The plywood was 4 feet 3 inches wide.
_____
A calculator that works with fractions figures this nicely. By hand, you might compute it as
.. 61 5/8 = (8*61 +5)/8 = 493/8
.. 14 1/2 = (2*14 +1)/2 = 29/2
.. (61 5/8)/(14 1/2) = (493/8)/(29/2) = (493/8)*(2/29) = 493/(4*29) = 493/116
.. 493/116 = 4 +29/116 = 4 +29/(4*29) = 4 1/4
Answer:
5 - 2 x 9 + 9^2 divided by 3
5 - 2 x 9 + 81 divided by 3
5 - 18 + 81 divided by 3
5 - 18 + 27
-13 + 27
14
Using PEMDAS:
Parenthesis First
Exponents
Divide or Multiply
Add or subtract
