Answer:
3/2 x +1 = 5/4x - 5
3/2 x+1 =5/4
x−5
Step 1: Subtract 5/4x from both sides.
3/2 x+1−5/4
x=5
4x−5−5/4x
1/4x+1=−5
Step 2: Subtract 1 from both sides.
1/4x+1−1=−5−1
1/4
x=−6
Step 3: Multiply both sides by 4.
4*(1/4x)=(4)*(−6)
x=−24 Mary has 24 shells
Answer:
-x=−24
x = 24 shells
Step-by-step explanation:
1. 2 3/4 x 16 = 44 + 6 = 50 shells x= 16
2 3/4 x 24 = 66 + 6 = 72 x = 24
We see the side workings in bold as if Mary has 24 and Nancy has 1x more
Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.
2 3/4 x 18 = 49 1/2 + 6 = 55 1/2 x= 18
2. 2 3/4 x 16 = 44 -4 = 40 shells x = 16 2 3/4 x 24 = 66 - 4 = 62 x = 24
2 3/4 x 18 = 49 1/2 - 4 = 45 1/2 x = 18
3. 2 3/4 x 16 = 44 + 4 = 48 shells x = 16 2 3/4 x 24 = 66 + 4 = 70 x = 24
2 3/4 x 18 = 49 1/2 + 4 =53 1/2 x = 18
Plane UVWX and plane QRST
Answer:
1368 dollars.
Step-by-step explanation:
given that Jack s purchasing a stock that pays an annual dividend of $3.42 per share
No of shares Jack purchased = 400
Price per share = 53.18$
Amount invested by Jack in shares = 
dollars
Annual dividend = 3.42 per share
Total dividend = 
Annual income from dividends = 1368 $
The given plane, 
, has normal vector 
. Any plane parallel to this one has the same normal vector.
Let 
be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is
and this is perpendicular to 
.
So the equation of the plane is
or equivalently,
