<span>1.255 times the party bill.
x = party bill
s = sales tax
t = tip
C = total cost = the bill, plus the sales tax, and the tip
C = x + s + t
We know that both the sales tax and the tip are percentages based on the party bill. The sales tax is equal to 7.5% of the party bill. The tip is equal to 18% of the party bill.
so,
s = (0.075)*x
and,
t = (0.18)*x
Then we replace the s and the t in our equation,
C = x + 0.075x + 0.18x
Then, we add the elements together.
C = (1+0.075+0.18)x
C = 1.255x</span>
Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
Jessica saves $4 more a week than Raphael. I took this quiz and it was correct.
82,000
Hope i helped today!
-Good Luck!
