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.
2. 4(x+3) =3x+17
distribute
4x+12 = 3x+17
subtract 3x from each side
x + 12 = 17
subtract 12 from each side
x =5
6. -10 +5x=5(x-3)+5
distribute
-10+5x = 5x-15+5
combine like terms
-10+5x =5x -10
subtract 5x from each side
-10 = -10
infinite solutions
You do 0.35 x 600 to get 210
Answer: 2654
Step-by-step explanation:
you take jolly's number 4599 and subtract Gopal's number of 1945
Answer:
<u>Principal</u><u> </u><u>is</u><u> </u><u>$</u><u>1</u><u>0</u><u>0</u><u>0</u>
Step-by-step explanation:
• From the formular of simple interest:
• substitute and find the principal:
