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Answer:
3’5”
Step-by-step explanation:
14/4
First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
p(coin is tail) = 1/2
p(spinner is odd) = 4/7
p(odd and tail) = 1/2 x 4/7 = 4/14 = 2/7
Answer: (A) 2/7
Answer:
It was an increase of 200%.
Step-by-step explanation:
In order to identfy the percent of the change we need to first find the absolute value, to do that we subtract the final value from the initial one. We have:
absolute difference = 36 - 12 = 24 inches
Since this value is positive it was an increase. Now we need to find the percentage at which it was increased, to do that we can use a rule of three in a way that the original value is 100% and the value we want to know is the percentage for the absolute increase. We do this as follows:
12 inches -> 100%
24 inches -> x %
12*x = 2400
x = 2400/12 = 200 %
It was an increase of 200%.