Answer:
Part A:




Part B:


and 
Step-by-step explanation:
Part A:
The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:


Using the value of y from the first equation in the second one, we have:





Part B:
If he shoots a total of ten targets, we can write the equation:

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

If we subtract the second equation by two times the first one, we have:



⇒ 
A random variable is used like this:
You close your eyes and point anywhere on the table to choose a number. Since the given random number table is made up of 3 digits, you only get the first two digits. We are also given a 70% of catching a fish, that means that the number you choose should not have a first two digit number greater than 70. If that happens, you go down to the next value. If you reach the bottom, you go up to the next column. This is done 3 times and multiplying the three numbers to get the chance for 1 trials. This is repeated 20 times and the average is obtained.
22/3 or 7.3333333333333333333333333333 or 7 1/3 feet
Answer:
2nd one
Step-by-step explanation:
For this case the first thing we should do is find the percentage of people surveyed who said that pizza pizza was their favorite type of pizza.
We have then:

We are now looking for 52.5% of 1600 people.
For this, we make the following rule of three:
1600 ----------> 100%
x ---------------> 52.5%
Clearing the value of x we have:
Answer:
the most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza is:
x = 840