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Ah, joy of commutative algebra.
Wait until you get to noncommutative algebra… shudders. No one who mastered that monster of a subject is sane in any measure.
Yay for quaternions and beyond
Just do (7-5)+(5-4)=3
I’d do 4%=1/25, 75/25=3.
Even the first one, 0.75 doubled and then doubled again is hard?
at this point in my life, as somebody with multiple math degrees, if i ever come across a situation where i need to multiply or divide numbers and one of them is bigger than 12, im going to use a calculator.
Look at Mr big brain over here who learned his times tables. Sure hope nobody takes his lunch money.
That’s a neat trick but also 4% of 75 = (1% of 75) * 4 = 0.75 * 4 = 1.5 * 2 = 3
My engineering brain says it’s 3.25.
4% is ~ 5%. 10% of 75 is 7.5. To get the 5% I have to divide it by 2, so 4% of 75 is close to 3.25. I will have to multiply it with some safety coefficient at the end, so the exact value doesn’t matter.
Mine brain just does 0.75 × 4.
Thought process was…
- Get 1% = 0.75
- Double it = 1.5
- Double it = 3
That’s why you can always double the maximum limits engineers give.
60 mph roadway?
I can do 120 on it no problem.
Eight person elevator? Sixteen.
0.08 BAC? 0.16 easy peasy.
Did engineers come up with that last one though?
Yes, in elevators usually one cable could hold far more than the full weight, then they add 5 more for the safety.
For rail speed limits this is the exact way they calculate it. For road speed limits they consider braking distance, which grows by the square of your speed, so if you go 120 on 60 road, you will need 4 times the distance to stop. I wrote 1.5 as a safety factor, not 4, With a 1.5 safety factor you can go by 75 though, but I would use a 1.1 safety there, as in my country the speed cameras are set up that way, you can go +10% of the official speed limit, they only send a cheque if you went even quicker than that.
That’s because elevators use counter weights usually equal to the weight of the car and half the occupancy load so that it takes less energy to lift it and if it falls for any reason it won’t hit the bottom as long as the counter weights are still attached. The occupancy load is determined by the counter weighting system not the cable load capacity.
Yeah, as I understand it, the elevator will refuse to move instead of collapse, and hopefully you’re not between floors when it happens because it was close and someone shifted their weight or bounced slightly or they might write a sitcom episode about what happens next (and the reality will be far more boring).
I’m confused by this statement, the answer is 3. Why do all these extra steps for a wrong answer?
It’s not wrong, it’s close enough. And the point it works with more numbers and more type of calculation. Let’s calculate 4% of 1243. That’s the same as 1243% of 4, right, much easier to calculate by simply changing the 2 numbers… While my method is the same, by simply rounding everything.
And in engineering you always multiply/divide your results by a 1.5 or 1.25 safety factor, depending on situation. So you don’t have to calculate exact results, just close enough. E.g. G is always 10m/s2. π is only 3.14, the other digits doesn’t matter.
That’s exactly why we have safety coefficients.
Safety coefficients are for nerds
4 over 100
is
X over 75
And there’s your butterfly.
Answer
One…
A-two
A-three. Three licks to the Tootsie Roll center of a Tootsie Pop.
You bit that, you cheated! I saw you.
0.04 x 75 == 0.75 x 4 == 75 x 4 x 0.01
switch the order of the last two terms (the second equality), put the 0.01 in the middle, and it makes a bit more sense when read as calculation steps.
0.04 * 75 = 4 * 0.01 * 75 = 4 * 0.75
Is it weird that I just went
start: 75
to actual decimal: .75
*2*2: 1.5 -> 3
Nah we all do weird shit. I did 4x75, then moved from 300. to 3
Yes, but then I have to do 4 x 75 = 50 + 25 + 50 + 25 + 50 + 25 + 50 + 25 = 50 + 50 + 50 + 50 + 25 + 25 + 25 + 25 = 200 + 100 = 300 in that same order because non-maths brain.
I just figured 4% is 1/25 and divided 75/25
Meanwhile im the idiot thats like “uh 10% of 75 is 7.5, half it for 5% of 75 is 3.75, 1% of 75 is .75, so its probably 3?”
Lets pray thats one of the options on the multiple choice. Oh the professor wants me to show my math? Well lets hope he’s open to me being an abstract dumbass that is capable of getting the right answer.
If the professor is actually a professor and not a teacher, they probably appreciate your line of thinking
That’s how my brain works as well.
Sure with easy numbers multiplication is easy. Try anything else.
