Answer:
10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x+y = 24
3x+5y = 100
We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...
3x+3y=72
3x+5y=100
Now, subtract the first equation from the second equation...
2y=28
Divide both sides by 2
y=14
Plug this back into any of the equations to solve for x...
x+14=24
x=10
There were 10 three-point questions and 14 five-point questions
Answer:
C
Step-by-step explanation:
9x² - 4
can be factored as a difference of squares , that is
(U + V)(U - V)
9x² - 4
= (3x)² - (2y³)²
with U = 2x and V = 2y³
Answer:
37.5 cm
Step-by-step explanation:
See attached for reference.
let the diagonal be x,
By Pythagorean formula:
x² = (22.5)² + (30)²
x = √[(22.5)² + (30)²]
x = 37.5 cm
Anything to the power of 0 is 1
So for the top, 2^0 = 1
For the bottom, 10^0 = 1
It is not 0, because anything that ends with 0/0 is <em>undetermined</em>, and will not result in an answer
hope this helps