You should use paper to help this but you gotta make 1 1/4 into an improper fraction start at 3/4 then whatever you get as a improper fraction move it towards that space for example if you get 5/4 you move 5 spaces to your right since your working with positive not negative! I hope this helps you out
Answer: 56 purple marbles.
Step-by-step explanation:
Let be "p" the number of purple marbles in the bag and "w" the number of white marbles in the bag.
You can set up the following System of equations:

You can use the Substitution method to solve the System of equations. The steps are shown below:
1. You need to substitute the second equation into the first equation:

2. Now you must solve for "w":

3. Substitute the value of "w" into second original equation and then evaluate in order to find the value "p":

Answer:
AC = 6
Step-by-step explanation:
x= 6
If you need work I can send it
Descartes' rule of signs tells you the one sign change in the coefficients means there's one positive real root. If you change the sign of the odd-power terms, the signs become -++-, so have two sign changes. This means there are 0 or 2 negative real roots.
A graph shows there to be 3 real roots, two of which are negative. Thus there are no complex roots.
Answer:

And for this case the margin of error would be:

If the level of confidence increase we can conclude that the value of
would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let's assume that we have a parameter of interest
and we want to estimate the value of p with
and in general the confidence interval if the distribution of p is normal is given by:

And for this case the margin of error would be:

If the level of confidence increase we can conclude that the value of
would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider