Answer:
41/60
Step-by-step explanation:
Convert the fractions into like denominators: 7/30 = 140/600, 9/20 = 270/600
Add: 140/600+270/600 = 410/600
Divide into a smaller fraction: 41/60
Step-by-step explanation:
x = number of true/false questions
y = number of multiple choice questions
x + y = 40
2x + 3y = 144
from the first equation we get
x = -y + 40
this identity we can then use in the second equation
2(-y + 40) + 3y = 144
-2y + 80 + 3y = 144
y + 80 = 144
y = 64
and
x + 64 = 40
x = -24
that does not make any sense.
something is wrong with the problem description.
just think about it :
40 questions - if all of them would be multiple choice tests (creating the max. possible points for 40 questions), we could have only 40×3 = 120 points.
but the description says 144 points.
for 144 points we need at least 48 (144/3) questions.
that does not fit.
the described system does not have any natural number solution. therefore we are getting such crazy numbers as result, when we try.
Answer:
x = 42.2 units
Step-by-step explanation:
By applying tangent rule in the right triangle ΔADC,
tan(44)° =
0.9657 =
0.9657 =
AD = 0.9657x
Now we apply cosine rule in ΔADB,
cos(30)° =
cos(30)° =
0.866 =
x =
x = 42.15
x ≈ 42.2 units
Therefore, x = 42.2 units will be the answer.