First, I add all of my prices together.
$9.50(2)+$7.95+$7.95+$49.95= $84.85
Change 6% to a decimal = .06
Then multiply: 84.85 x .06 = $5.09
$5.09 is the sales tax
$84.85 + $5.09 = $89.94
Answer: $89.94
I hope this helps :)
Answer:
Cathy was driving at a speed of 67 miles per hour.
Step-by-step explanation:
Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.
We solve this using a rule of three.
1 mile - $15
x miles - $105
Applying cross multiplication:
15x = 105
x = 105/5 = 7.
Cathy was 7 miles above the speed limit.
How fast was Cathy driving?
7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.
Cathy was driving at a speed of 67 miles per hour.
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10
The best answer would be C
Answer: 4.15 units
Explanation:
1) You must find the solution to this system:
y = -0.3x² + 3x
-2x + 5.5y = 19.5
2) replace y from the first equation into the second equation:
-2x + 5.5 [-0.3x² + 3x] = 19.5
3) use distributive property: -2x - 1.65x² + 16.5x = 19.5
4) combine like terms: - 1.65x² + 14.5x = 19.5
5) transpose terms: 1.65x² - 14.5x + 19.5 = 0
6) use quadratic formula to find the solution:
x ≈ 1.66 and x ≈ 7.13.
To find which is the lower point, you replace the two values and find which has smaller y value:
y = -0.3x² + 3x
x = 1.66 ⇒ y = -0.3(1.66)² + 3(1.66) = 4.15
x = 7.13 ⇒ y = -0.3(7.13)² + 3(7.13) = 6.14
Therefore, the answer is y = 4.15.