Matthew bought flowers for his mom. he bought 12 flowers that were a combination of roses and lilies. the roses cost $1.75 each and the lilies cost $2.00 each. he spent $21.75. how many of each flower did he buy?

To solve this problem you must apply the proccedure shown below:

1. Let's call: the number of roses and the number of lilies.

2. You must make a system of equation based on the information given in the problem above:

3. Use the method of substitution. First, solve for in the second equation, then substitute it into the first equation, and then solve for :

4. Now, substitute into the second equation:

Therefore, the answer is: roses and lilies.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;