Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)
Answer:
40 minutes per night, 5 days per week
Step-by-step explanation:
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
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b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
<h3>
Answer: 98%</h3>
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Explanation:
The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.
85% of $900 = 0.85*900 = 765
After the 15% discount is applied, the customer would pay $765
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Then after the sale, the price is marked up by 15%
This means we'll multiply by 1.15 to indicate a 15% increase
1.15*765 = 879.75
Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.
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Afterwards, divide the value 879.75 over the original price of $900
879.75/900 = 0.9775
Move the decimal point two spots to the right to end up with 97.75%
That percentage rounds to 98% when rounding to the nearest whole percent.
