Answer:
7 units, 8 units
Step-by-step explanation:
Apparently, the cross section of each prism is a rectangle 1 unit by 2 units. Hence the total length will be ...
(30 units³)/((1 unit)(2 units)) = 15 units
Two numbers that differ by 1 and have a sum of 15 are 7 and 8.
The lengths of the prisms are 7 units and 8 units.
Answer:
The average rate of change is -0.034 which means that the decrease is -0.034 in the cost of per print per year
Step-by-step explanation:
Given that
Price of print in 2002 = p1 =$0.50
Price of print in 2013 = p2 =$0.13
y1 = 2002
y2 = 2013
The rate of change is given by the formula:

Here decrease is the change in price and run is the difference in years.
Mathematically, it can be written as:

Putting the values

Hence,
The average rate of change is -0.034 which means that the decrease is -0.034 in the cost of per print per year
7.5 is the answer have a good day
Let x represent the total number of chocolate cups and y represent the total number of vanilla cups Beth buys.
She needs a total of 24 ice cream cups. So, the equation can be written as:

The number of chocolate cups she needs are twice as compared to vanilla, so we can write the equation as:
Case 1: Only constraint
2 would be met if 9 vanilla cups and 18 chocolate cups were purchased.
This is because the number of chocolate cups are double as compared to vanilla cups but the total number of cups in this case is not 24. So constraint 1 is not met.
Case 2: Only constraint
1 would be met if 6 vanilla cups and 18 chocolate cups were purchased.
This is because the total number of cups in this case is 24 but the chocolate cups are three times as compared to the vanilla cups. So the constrain 2 is not met in this case.