Answer: the number of multiple choice questions in the test is 12.
the number of short response questions in the test is 8.
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short response questions in the test.
The total number of questions in the test is 20. It means that
x + y = 20
The multiple choice questions are worth 3 points each and the short response question are worth 8 points each. The total number of points is 100. It means that
3x + 8y = 100 - - - - - - - - - - 1
Substituting x = 20 - y into equation 1, it becomes
3(20 - y) + 8y = 100
60 - 3y + 8y = 100
- 3y + 8y = 100 - 60
5y = 40
y = 40/5 = 8
x = 20 - y = 20 - 8
x = 12
Answer:
5 3/4 cups of cheese used for the pizza
Step-by-step explanation:
7 3/4 = 31/4 cups cheese to start
Two cups of cheese remaining. 2 = 8/4 cups
31/4 cups - 8/4 cups = 23/4 cups used for the pizza.
23/4 = 5 3/4 cups of cheese used for the pizza
Check the picture below.
recall that the trajectory of an object flying is, it goes up up up, reaches a maximum height and then down down down, till it hits the ground, when it happens it's not longer above ground, thus height = 0.