Which expressions are equivalent to the one below? Check all that apply. 10x A. 50x/5x B. 10 • 10x - 1 C. 10 • 10x + 1 D. 50x/5 E. (50/5)x F. x5

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Which expressions are equivalent to the one below? Check all that apply. 10x A. 50x/5x B. 10 • 10x - 1 C. 10 • 10x + 1 D. 50x/5 E. (50/5)x F. x5

Mathematics
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Imagine if the variable x were to be equivalent to 1 or 2. Input that into 10x (giving you 10 or 20) then try that same method on the answer choices and the answer will be the one that matches your 10x :)
but three are correct
It says, Check all that apply. that means there are more than one right answer

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Other answers:

Which ones do you think are correct?
a, d, and e?
\[\frac{x}{x} = 1\]
do you follow?
no.. i don't get these
  • mLe
a number divided by itself would be 1 so x/x would become 1 times what ever else was attached to it and there would be no x left ("a" cough)
Well you are mostly right. You seem to get this :) dont be so critical. what I am trying to say is variables divide out. Exponent rules: \[x^{0} = 1\] anything to the power of 0 is equal to 1 \[x^{1} = x\] \[x^{2} = x*x\] \[x^{3} = x*x*x\] etc \[x^{a}x^{b} = x^{a+b}\] \[\frac{x^{a}}{x^{b}} = x^{a}x^{-b} = x^{a + (-b)} = x^{a - b}\] \[x^{-1} = \frac{1}{x^1} = \frac{1}{x}\] \[\frac{1}{x^{-1}} = x^{1} = x\] Examples: \[\frac{34x^2}{x} = 34x\] \[x^5x^3 = x^{5+3} = x^{8}\]
more examples: anything raised to the power of 0 is 1: \[(3 + x + 3b)^{0} = 1\] \[\frac{(3+x)}{x+2} = (3+x)(x+2)^{-1}\]
does this help?
It takes me so long to comprehend math
do the answers have to equal the same thing?
yes
they all have to equal 10x
Look at your answers and then look at the rules I gave you
you are on the right track :)
so i would still go with those answers
i don't see why I wouldn't?
ThatGirl, please don't forget to rate Australopithecus so he can get his reward!
  • mLe
@thatgirlaggie Reconsider choice A 50x/5x can be rewritten as (50/5)*(x/x) as mentioned, (x/x)=1 and since 50/5 = 10 (50/5)*(x/x) would equal 10 (no x)
your answers are: \[\frac{50x}{5x}\] \[\frac{50x}{5}\] \[(\frac{50}{5})x\] Multiplication of fraction rule: Note you can divide anything by 1 to make it into a fraction: \[x = \frac{x}{1}\] example: \[62 = \frac{62}{1}\] Multiplication of fractions rule: \[\frac{a}{b}*\frac{b}{c} = \frac{a*b}{b*c}\] example using both \[\frac{52x}{3}*52 = \frac{52x}{3}*\frac{52}{1} = \frac{52x*52}{3*1}\]
I am giving you rules so you can do these problems I hope that you take the time to review them, it should help you quite a bit, note a, b an x are all just numbers
I'm reviewing them and I see what you're saying
But yes the answer is D and E \[\frac{50x}{5x} = 10*x^{1-1} = 10*x^{0} = 10 \neq 10x\]
so because A has two x's, there are only two answers?
yes
i'd say d and e and feel like an idiot now that i get it THANK YOU!!
the x cancels out in one of them and you end up with just 10
  • mLe
A has x's that cancel out which is why it does Not work :)
  • mLe
Don't forget to Rate @Australopithecus for their wonderful help :)
how do I rate you?
  • mLe
top of screen, orange box, "Rate a Qualified Helper"
Yeah algebra is pretty simple, I recommend looking up alebra rules and to look at them as you work through these problems. It should help you significantly
That was wrong
it was A, C, and E
Well they made a mistake lol
contact your instructor
it's a computer. Apex
  • mLe
could there have been any typos in your question/options?
  • mLe
perhaps the ^2 did not come through a copy paste in 50x^2/5x ?
perhaps
If that is exactly how it is written and you are being graded by this you should contact their support.
A,C and E can't be right. Check your question. (-:
what is this section of questions?
Great explanation Australopithecus!
Thank you Preetha

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