First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5
remember,
john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a
david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35
multplies his number by john and gets 12/35
(a/b)(david)=15/7
hmmm
(b/a)(david)=12/35 and
(a/b)(david)=15/7
if we divide them then we do
square root both sides
therefor
b=2 and a=5
john's number is a/b=5/2
sarah's number is 2/5
david, hmm
sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7
check other
john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true
sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7
Answer:
0.25 pounds of candy
Step-by-step explanation:
3.5 divided by 14 is 0.25
Answer:
the solution for x will be given by {x| -13 < x < 13}
Therefore the correct option is B.
Step-by-step explanation:
i) given that |x| < 13
ii) therefore x < 13 for positive values of x
iii) for negative values of x we have -x < 13
therefore x > -13
iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}
Therefore the correct option is B.
Answer:
It's the law of cosines
Step-by-step explanation:
law of cosines states that
so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59