Answer:
Answer:
Mary's ticket was less than the original price by 12 percent
Step-by-step explanation:
1. Let's calculate the 20% discount price Mary received:
75 - 0.2 * 75 = 75 - 15 = $ 60
The discounted price is $ 60
2. Let's calculate the 10% service fee to the discounted price:
60 + 0.1 * 60 = 60 + 6 = $ 66
The price including the service fee is $ 66
3. Finally, let's calculate the less percentage than the original price:
Let's use the Direct Rule of Three, this way:
Price Percentage
75 100
66 x
**************************
75x = 66 * 100
75x = 6,600
x = 6,600/75
x = 88
Less percentage = 100 - 88 = 12%
Mary ticket was less than the original price by 12 percent
Answer:
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Step-by-step explanation: I sorry but I can't answer this and still want to comment. See you this afternoon.
Answer:
A. 7:21 = 3:9
Step-by-step explanation:
7 is to 21 as 3 is to 9.
Replace the word to with colons and the word as with the equals sign
7:21 = 3:9
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer:
First we just have to find two components, the slope and a point. The point is given but no slope.
y = 3 is only a horizontal line that passes (0,3). A horizontal line does not have a slope (or the slope is 0).
The line is said to be parallel to it so the slope must also be 0 and just a horizontal line.
So the equation of the line is,
y = mx + b
Substitute the slope and (5,7) to find b.
7 = 0(5) + b
7 = b
The equation of the line would be like this,
y = 0x + 7
y = 7