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:
About $4
Step-by-step explanation:
You have about 16, divide it by 4 and that’s your answer
Answer:
V(cylinder) = πr²h
h=3 cm
r=2 cm
V(cylinder) = πr²h = π*2²*3 =12π cm³
Answer : 12π cm³.
Answer:
x = -7
Step-by-step explanation:
So we are asked to find what x is equal to in the equation:

In other words, we are asked to solve for x.

Add 4 to both sides of the equation.

Multiply both sides by 7.
x = -7
So we have solve the equation for x and have found that x = -7.
I hope you find my answer and explanation to be helpful. Happy studying.