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Setler [38]
3 years ago
11

A woman drives an SUV that gets 11 ​mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every​ week, they travel the sam

e number of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

The correct solution is "(45.5>39) \ mpg". A further explanation is provided below.

Step-by-step explanation:

The above query seems to be incomplete. Below is the attachment of the complete question is attached.

Given that,

For SUV,

= 11 ​(mpg)

For hybrid ghost,

= 65 mpg

Now,

<u>Option 1</u>:

After tuning, the mileage of SUV will be:

= 11+2

= 13 \ mpg

Average mileage will be:

= \frac{13+65}{2}

= \frac{78}{2}

= 39 \ mpg

<u>Option 2</u>:

Given:

Mileage of new hybrid,

= 80 mpg

Now,

Average mileage will be:

= \frac{11+80}{2}

= \frac{91}{2}

= 45.5 \ mpg

Thus we can say that the second option gives better mpg as compared to the first one.

i.e.,

⇒  (45.5>39) \ mpg

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viva [34]

The value of the angle shown in the protactor is 50° and the value of y is 10°.

<h3>How to calculate the values?</h3>

The value of y will be:

2y + 30 = 3y + 20

3y - 2y = 30 - 20

y = 10

The value of x when they're complementary will be:

5x - 2 + 3x + 4 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88.

x = 88/8 = 12

The value of angle FDE will be:

3x + 10 + 6x + 8 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

FDE = 6x + 8

= 6(18) + 8

= 108 + 8

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3 0
2 years ago
Determine if the equation defines y as a function of x: 2xy=1
Leona [35]
Solve for y...

2xy=1

y=1/(2x)

So this is a function as each x value (with the exception of x=0) produces just one value for y.  However, technically there is a vertical asymptote about the vertical line x=0.  So there is a discontinuity as x=0.

I say this technically, because most would say that this function is true even with the discontinuity (as they do with say y=tana), but technically the discontinuity makes this not a function because another requirement of a function is for their to be an actual output value for each input value.  In this case division by zero when x=0 is undefined and cannot be included as part of a function.  So if you are picky about being absolute, 2xy=1 is really two functions.  One with a domain of (-oo,0) and another with a domain of (0,+oo).
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3 years ago
Consider the Inequalities X &gt;7 and X &lt; 12 select all the values that satisfy both Inequalities
Maksim231197 [3]

Answer:

9;10

Step-by-step explanation:

What we can first do is make them into one double sided inequality and then interpret it from there.

After combining them we get: 7<x<12

This means that any number between 7 and 12 can be picked.

Keep in mind, this means that 7 and 12 cannot be picked, they have to be in between.

Therefore, we get our aswers of 9 and 10!

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2 years ago
If y varies directly as x and y = 11 when x = 2.5, find y when x = 27.5.
Lera25 [3.4K]

Answer:

27.5

Step-by-step explanation:

y=consx

y=x

y=27.5

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2 years ago
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