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.
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
3 gallons are in 12 quarts. 4x3=12. 4 qts make 1 gallon
Answer:
10°
Step-by-step explanation:
x + 25 = 3x + 5. [Vertically Opposite Angles]
=> 25 - 5 = 3x - x
=> 20 = 2x
=> 10 = x
=> <u>x = 10</u><u>°</u><u>(</u><u>Ans)</u>
