Let the less expensive scarf be x
expensive scarf = $3 + x
According To The Question,
x+x+$3=$25
2x+$3=25
2x=22
x=$11
expensive scarf = x + $3 = $11 + $3 = $14
HOPE THIS WILL HELP YOU
Answer:
Step-by-step explanation:
y-x=0.7
y=x+0.7, so lets plug in that into the expressions instead of y
1)
(y-x)=
x+0.7-x=
x+0.7+(-x)=
x+(-x)+0.7=
x-x+0.7=
0.7
2)
(x-(x+0.7))/((x+0.7)-x)=
(x-x+0.7)/(x+0.7-x)=
(x-x+0.7)/(x+0.7+(-x))=
(x-x+0.7)/(x+0.7+(-x))=
(x-x+0.7)/(x+(-x)+0.7)=
(x-x+0.7)/(x-x+0.7)=
0.7/0.7=
1
Double angle (or half angle, depending how you look at it) identities:



So we have



Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know
and
, so it's also the case that
.
Also, the reason we have equality in the last step can be explained like so:

(not unlike the process used to complete the square)
Mean = (7+3+10+13+x)/5
(7+3+10+13+x)/5 = 8
(7+3+10+13+x) = 40
x = 40-7-3-10-13 =7