So three consecutive integers 2k,2(k+1),2(k+2)
there sum will be
2k+2(k+1)+2(k+2)
2k+2k+2+2k+4
6k+6
so setting the inequality
102<6k+6<116
subtracting 6 from all sides
96<6k<110
16<k<18.3333
since k is an integer
the only integers between 16 and 18.3
are 17 and 18
so
when k=17
2(17),2(17+1),2(17+2)
34,36,38
when k=18
2(18),2(18+1),2(18+2)
36,38,40
so to check are soultion we substitute
34+36+38=108 which is between 102 and 116
36+38+40=114 which is between 102 and 116
so our soultion is correct
the final answer will be
{{36,38,40},{38,40,42}}
9514 1404 393
Answer:
3.31227766..., irrational
Step-by-step explanation:
3/20 +√10 = 0.15 + 3.16227766017...
The root of 10 is irrational, so adding that to a rational number will give an irrational sum.
The sum is about 3.31227766017..., an irrational number.
The correct answer should be A.
Suppose the length of the frame is x in
a] the length of the frame and picture:
7+2x
the width of the frame and the picture:
5+2x
thus the frame will be (5+2x) inches wide and the length will be (7+2x) inches
b] the area will be:
Area=length×width
A=(5+2x)(7+2x)
thus the equation that will be used to find the width of the frame is:
(5+2x)(7+2x)=72
If the exchange rate of Euro to the US dollar is 1 Euro = $1.13, how much would you receive if you wished to exchange 235 Euros?<span><span>A. $113.00 </span><span>B. $265.55 </span><span>C. $255.65 </span><span>D. $207.96
that would be B.$265.55</span></span>