Answer:
16
Step-by-step explanation:
First of all, I think it was "respectively", not "respecfully", =))). A noticeable point.
From the problem, three item's costs are represented by three consecutive even integer.
Thus, we can call cost of spoiler is x, sunroof is x-2, stereo is x + 2. It is conditioned that x is an even number.
Since the sum of the three is 48, we have
(x-2) + x + (x+2) = 48
x+x+x -2 +2 = 48
3x =48
x=16
So the spoiler is 16; thus, the sunroof is 14 and the stereo is 18
The width of the card to the nearest tenth of an inch is 6.15 inches
<h3>Area of rectangle</h3>
- Width = x
- Length = 2x + 1
- Area = 88 square inches
Area of a rectangle = Length × Width
88 = (2x + 2) × x
88 = 2x² + 2x
2x² + 2x - 88 = 0
x = -b ± √b² - 4ac / 2a
= -2 ± √2² - 4(2)(-88) / 2(2)
= -2 ± √4 - (-704) / 4
= -2 ± √708 / 4
= -1/2 ± √177/2
x = 6.15 or -7.15 inches
The width of the rectangle can not be negative, so, 6.15 inches is the width.
Learn more about rectangle:
brainly.com/question/13048427
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Answer: Ellen's house is farther away by 898 feet.
Step-by-step explanation:
Given: The distance between Haley's house and Ellen's house = 1.41 miles
We know that 1 mile = 5,280 feet
Then, 
The distance between Haley's house and Dirk's house = 6,547 feet
Clearly, 6,547<7,444.8
And 
Therefore, Ellen's house is farther away by 898 feet.
Answer:
it saves 2.5 minutes
Step-by-step explanation:
The expected value of a random variable is the sum of products of possibilities and the probability of each.
Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.
__
The expected value of the shortcut is ...
0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5
The shortcut is expected to save 2.5 minutes on average.
_____
<em>Additional comment</em>
The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.
