Answer:
Base 5
Step-by-step explanation:
We want to determine the base at which:
113 X 2 =231
We consider the last number of the result (231).
The base must be a number such that:
3 X 2 will have a remainder of 1.
3 X 2 = 6 = 5 Remainder 1
Therefore:
113 X 2 =231 in positive integral number base 5.
Answer:
An equation that indicates you can spend exactly $45 per day for rental fees is, 
Step-by-step explanation:
Let x represents the days and y represents total the rental fees.
As per the statement:
you can spend exactly $45 per day for rental fees.
In 1 day you spend = $45 rental fees.
then
in x days = 45 x
we have to find an equation that indicates you can spend exactly $45 per day for rental fees
since, y represents the total rental fees,.
⇒ y= 45x
Therefore, an equation that indicates you can spend exactly $45 per day for rental fees is, 
Answer:

Step-by-step explanation:
We have:

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

Zero Product Property:

On the left, subtract 5.
On the right, add 1.
So, our zeros are:

Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:

And we're done!
I just learned about it. Simple!
6x=5x+7
Subtract 5x from both sides.
-5x -5x
You end up with
1x=7 or x=7
The slope of line D is also -4 because the lines are perpendicular.