As a matter of simplification, same/same = 1.
now, "same" could be anything whatsoever, you name it, a whole polynomial, a whole anything whatsoever.
![\bf \cfrac{\sqrt{2}}{\sqrt{2}}=\cfrac{\sqrt{3}}{\sqrt{3}}=\cfrac{100000000}{100000000}=\cfrac{eggs}{eggs}=\cfrac{miles}{miles}=\cfrac{\frac{\quad \sqrt{3}}{\sqrt[5]{17}}\quad }{\frac{\sqrt{3}}{\sqrt[5]{17}}}=\cfrac{whatever}{whatever}=1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D%3D%5Ccfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D%3D%5Ccfrac%7B100000000%7D%7B100000000%7D%3D%5Ccfrac%7Beggs%7D%7Beggs%7D%3D%5Ccfrac%7Bmiles%7D%7Bmiles%7D%3D%5Ccfrac%7B%5Cfrac%7B%5Cquad%20%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B5%5D%7B17%7D%7D%5Cquad%20%7D%7B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B5%5D%7B17%7D%7D%7D%3D%5Ccfrac%7Bwhatever%7D%7Bwhatever%7D%3D1)
now, that said, let us use 1 in this case then ... hmmmm we simply need a "y" in the denominator, so we simply multiply the denominator AND numerator by "y", y/y = 1 btw.
133=x + (x+5) + (x+14)
133 = 3x+19
3x=114
x= 114/3 =38
5+38 =43
38+14 =52
check: 38 +43 +52 = 133
3 sides are : 38, 43 & 52
Answer:
r = 55.2 cm
Step-by-step explanation:
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × 
( r is the radius )
given arc = 63.48π , then
2πr × = 63.48π ( cancel 2π on numerator/ denominator )
r × 
π = 63.48π ( divide both sides by π )
= 63.48 ( multiply both sides by 20 to clear the fraction )
23r = 1269.6 ( divide both sides by 23 )
r = 55.2 cm
Answer:
3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter
Step-by-step explanation:
Rashid pastries (R)
Mikhail pastries (M)
Rashid and Mikhail submitted a total of x pastries
R+M=x (I)
Rashid made 2/3 as many pastries as Mikhail
(2/3)*R=M (II)
Using II in I
R+(2/3)*R=x
(5/3)*R = x
R=(3/5)*x (III)
Using III in I
(3/5)*x+M=x
M=x-(3/5)*x
M=(2/5)*x (IV)
Mikhail filo dough (MF)
Mikhail shortcrust dough (MS)
Rashid filo dough (RF)
Rashid shortcrust dough (RS)
Mikhail used filo dough for all of his pastries
MF=M
MS=0
Rashid used shortcrust dough for all of his pastries
RS=R
RF=0
Filo dough (FD)
FD=RF+MF=0+MF=MF=M (V)
5/8 of the filo dough pastries were brushed with olive oil
pastries brushed with olive oil (OI)
(5/8)*FD=OI
Using V
(5/8)*M=OI
Using IV
(5/8)*(2/5)*x=OI
(1/4)*x=OI (VI)
pastries brushed with butter (B)
Pastries made out of filo dough are brushed with either olive oil or butter (but not both)
FD=OI+B
B=FD-OI
Using V and VI
B= M - (1/4)*x
Using IV
B = (2/5)*x - (1/4)*x
B= (3/20)*x
3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter
