9514 1404 393
Answer:
(d) A = 14.28 in², P = 14.28 in
Step-by-step explanation:
The figure is wholly contained within a 4" square, which has an area of (4 in)² = 16 in², and a perimeter of 4(4 in) = 16 in. Since the figure is smaller in area and has a shorter perimeter (the top corners are rounded, not square), both answer values must be less than 16.
The only reasonable choice is the last choice: 14.28 in², 14.28 in.
__
If you want to figure this out in detail, you have the area of a rectangle that is 2 in by 4 in, and the area of a semicircle of radius 2 in. The total area is ...
A = LW +1/2πr²
A = (2 in)(4 in) + 1/2(3.14)(2 in)² = 8 in² +6.28 in²
A = 14.28 in²
__
The perimeter is half that of a 4" square, plus half that of a 4" circle.
P = 1/2(4(4 in) +π(4 in)) = (2 in)(4 +π) = 2(7.14) in
P = 14.28 in
Answer:
Marco earned $2.25.
Step-by-step explanation:
1. If Marco sold 12 cups of lemonade for 3$, we would divide 12 cups and how much he earned from the 12 cups (3$). 12/3 = 4
2. By the end of the day, Marco earned $9. So, 4 cups = 1$. To break it down, 1$ = 100 cents and 100 cents divided by 4 is 25 cents. Cups to Cost. ( 4 : 1 ) and/or ( 1 : 0.25 )
3. 8 cups = 2$ plus 1 cup (0.25) = 2.25.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
6 * (x - 1.50) = 52.50 ; 10.25
Step-by-step explanation:
Given that :
Number of tickets purchased = 6
Coupon off per ticket = 1.50
Total Amount paid for tickets = $52.50
Let x = initial price of ticket :
Number of tickets purchased * (Initial ticket price - coupon) = total amount paid
6 * (x - 1.50) = 52.50
6x - 9 = 52.50
6x = 52.50 + 9
6x = 61.50
x = 61.50 / 6
x = 10.25
Hence, initial price of ticket = $10.25
1 mile ≈ 1.6 km
5.067 km ≈ 5.067÷1.6 ≈ 3.2 miles
time travelled = distance ÷ speed
time travelled = 3.2÷225
time travelled = 0.0142 hour = 51.2 seconds
