Zoe incurred $18.60 in tips and sales tax for her meal. The rate of sales tax stands at 11% while her tip amounted to 20%. (The tip does not include sales tax, and it is calculated on the dinner's price before tax.)
From the information provided, it's evident that both the tip and sales tax apply solely on the dinner cost. Thus, we have:-
Sales Tax = 11% of dinner cost
Tip = 20% of dinner cost
And Sales Tax + Tip = $18.60
Therefore, (20+11)% of dinner cost = 18.60
31% of dinner cost = 18.60
0.31 * dinner cost = 18.60
dinner cost = 18.60/0.31 = 60
Thus, Zoe's dinner cost was $60.
<span>This is quite challenging, but here’s the solution:
</span>
y = x^2 - 10x + 25 - 25
<span> y = (x-5)^2 - 25</span>
<span> y + 25 = (x-5)^2</span>
<span> x - 5 = ±sqrt(y+25)</span>
<span> You will derive TWO inverses:</span>
<span> x = 5 + sqrt(y+25),</span> for x ≥ 5
<span> x = 5 - sqrt(y+25),</span> for x ≤ 5
M∠ rst + m∠ vst = 180°
3 x + 7° + 9 x + 17° = 180°
12 x + 24° = 180°
12 x = 180° - 24°
12 x = 156°
x = 156°: 12
x = 13°
m ∠ rst = 3 · 13° + 7° = 39° + 7° = 46°
m ∠ vst = 180° - 46° = 134°
Answer:
A ) 46° and 134°
m = 6.57 and n = -2
Detailed explanation:
To solve this question, convert the thickness of a dollar bill into standard notation and compare the two thicknesses.
0.07 compared to 0.0043 results in 0.0657
0.0657 = 6.57 x 10^-2
Thus, a quarter is thicker than a dollar by 6.57 x 10^-2.
m = 6.57 and n = -2
