For this case we have that the complete question is:
A spider ate 25% more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the spider eat this month?
So, we propose a rule of three:
8 bugs -----------> 100%
x -----------------------> 25%
Where the variable "x" represents the number of bugs equivalent to 25%.

Thus, 2 bugs represent 25%
If this month the spider ate 25% more, then it ate:

Answer:
This month, the spider ate 10 bugs
Answer:
Multyplying by 1 third is the same as dividing by 3, so it's the opposite as multiplying by 3.
So he would have to pay the first and last months rent so you would take 425*2=850. And then 50% of 425 would be 212.50. So all together he would be paying $1062.50 to move in. I hope this helps :)
Answer:

Step-by-step explanation:
To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:
![A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%262%262%5C%5C-7%26-3%265%26-8%5C%5C4%261%261%261%5C%5C3%267%26-1%261%5Cend%7Barray%7D%5Cright%5D)
And the vector B is formed with the solution of each equation of the system:![b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]](https://tex.z-dn.net/?f=b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C-3%5C%5C6%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called
.
![A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]](https://tex.z-dn.net/?f=A_%7B2%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%263%262%262%5C%5C-7%26-3%265%26-8%5C%5C4%266%261%261%5C%5C3%261%26-1%261%5Cend%7Barray%7D%5Cright%5D)
The value of y using Cramer's rule is:

Find the value of the determinant of each matrix, and divide:


Answer:
f(6) = 82
Step-by-step explanation:
substitute x = 6 into f(x) and evaluate
f(6) = 2(6)² + 5
= 2(36) + 5
= 72 + 5(2) = 72 + 10 = 82