To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.
It should look like this: 8/100 (hint: per-cent means per-hundred).
Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.
Our proportional fractions are:
20/x = 8/100.
To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).
This product equation should look like this:
20 x 100 (when simplified, we get 2000).
Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).
This product equation should look like this:
8x.
Now that we've cross-multiplied, set our two products as an equation.
8x = 2000.
To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).
8x / 8 = x
2000 / 8 = 250.
x = 250
Your final answer is:
8% of 250 is 20.
I hope this helps!
Answer:
x=39
Step-by-step explanation:
Answer:
B, The initial number of bacteria increases at a rate of 24% each day.
Step-by-step explanation:
I think the answer is B because it is the one that closely matches the problem. 312 is multiplied by 1.24 with an exponent. Just eyeballing it, it's multiplied by itself and then an increase of 24%. Also, none of the other statements seem to be correct, D not even making sense in the scope of the problem. Hope this helps, good luck.
Answer:
Step-by-step explanation:
To get you needed to divide the numerator and denominator by 3.
Answer: 170
Step-by-step explanation: To find the percent change, simply multiply this number by 100.
