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lys-0071 [83]
3 years ago
9

The Ears-to-the-Wind Car Rental charges $100 per day and 11 cents per mile to rent a sport utility

Mathematics
1 answer:
Triss [41]3 years ago
3 0

The total miles that would cause the rental fees to be equal in one day is 933 miles

The equation that represents the total rental fees at  Ears-to-the-Wind Car Rental: $100 + $0.11m

The equation that represents the total rental at Wheels Are Us : $128 + $0.08m

m represents the total miles driven

To determine the number of miles that would cause the rental fees to be equal in one day, equate both equations to each other

$100 + $0.11m = $128 + $0.08m

Combine similar terms

0.11m - 0.08m = 128 - 100

0.03m = 28

Divide both sides of the equation by 0.03

m = 28 / 0.03

m = 933 miles

A similar question was solved here: brainly.com/question/11069602?referrer=searchResults

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Finding the greatest common factor ( or G C F ):
G C F is the largest number that divides evenly into all the numbers.
270 : 90 = 3
360 : 90 = 4
G C F ( 270, 360 ) = 90
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For the following exercises, solve each inequality and write the solution in interval notation.
Pie

Answer:

The solution of the given set in interval form is $(-\infty,-4] \cup[12, \infty)$.

Step-by-step explanation:

It is given in the question an inequality as $|x-4| \geq 8$.

It is required to determine the solution of the inequality.

To determine the solution of the inequality, solve the inequality $x-4 \geq 8$ and, $x-4 \leq-8$

Step 1 of 2

Solve the inequality $x-4 \geq 8$

$$\begin{aligned}&x-4 \geq 8 \\&x-4+4 \geq 8+4 \\&x \geq 12\end{aligned}$$

Solve the inequality $x-4 \leq-8$.

$$\begin{aligned}&x-4 \leq-8 \\&x-4+4 \leq-8+4 \\&x \leq-4\end{aligned}$$

Step 2 of 2

The common solution from the above two solutions is x less than -4 and $x \geq 12$.

The solution set in terms of interval is $(-\infty,-4] \cup[12, \infty)$.

7 0
2 years ago
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil
BabaBlast [244]
We know that 
3600 seconds = 1 hour
Then
3400 seconds = 3400/3600
                        = 17/18 hours
5280 feet = 1 mile
Then
63360 feet = 63360/5280 mile
                  = 12 mile
So
Distance covered by Nina in 17/18 hours = 12 mile
Then
Distance covered by Nina in 1 hour = 12/(17/18) miles
                                                         = 12.71 miles.
From the above deduction, we can conclude that the speed of Nina is 12.71 miles per hour.
Speed of Sophia is 10 miles per hour. So Nina is the girl that rides at a faster speed.
4 0
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The answer is -4 and 21

I am glad to help!
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