Answer:
The test contains 10 three-point questions and 14 five-point questions
Step-by-step explanation:
Given equations are:
From 2nd equation we can deduce that x represents number of 3-point questions and y represents number of 5-point questions.
Using the substitution method:
From x+y = 24
y= 24-x
Putting this valu of y in 3x+5y=100
Hence, the correct answer is:
The test contains 10 three-point questions and 14 five-point questions..
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
1/7 = 3(/4)x - 1
lets all multipled by 28
4 = 21x - 28
21x = 4 + 28
21x = 32
x = 32/21
x = 1 9/21 or x = 1 3/7
