4 is 8% of what number? Please show work!
2 answers:
Answer:
50
Step-by-step explanation:
4 = 8% × (what number)
4/0.08 = (what number) = 50 . . . . . divide by the coefficient of (what number)
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8% = 8/100 = 0.08 . . . . . conversion of percentage to decimal
You can use a calculator or do the fraction division any suitable way. For example,
... 4/0.08 = 400/8 = 50 . . . . . move the decimal point in numerator and denominator
... 4/(8/100) = 4 × (100/8) = 400/8 = 50 . . . . . invert the denominator and multiply
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Some calculators properly recognize the % symbol when a number is written as a percentage. (See attached)
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<h3>Answer: </h3>
The GCF is 4
The polynomial factors to
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).