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Yuri [45]
4 years ago
15

Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile dr

iven. Company B charges an initial fee of $80 for the rental plus $2 per mile driven. Let AA represent the amount Company A would charge if Piper drives xx miles, and let BB represent the amount Company B would charge if Piper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Mathematics
1 answer:
vazorg [7]4 years ago
5 0

Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

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Hostoso
Softa [21]

Answer:

B

Step-by-step explanation:

0.12 is 12 percent we also have the 0.06 percent which would just be 6 percent we need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.

6 0
3 years ago
In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
olasank [31]
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x =  number of bookshelves built.
Let y =  number of tables built.

The total number of bookshelves and tables =  18.
Therefore
x + y = 18.
 That is,
 y = 18 - x                    (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120            (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
  x = 8.4
From (1),obtain
 y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 =  $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.
5 0
3 years ago
A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
4 years ago
Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for ea
umka2103 [35]

Answer:

Total donation by Alonzo's mother = $40.

Step-by-step explanation:

Complete Question.

Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for each mile that Alonzo walks.

If Alonzo walks 15 miles, What will be the amount of her mother’s donation?

Alonzo's mum donates $10 for participation and an additional $2 per mile.

Alonzo walks 15 miles, this translates to an additional donation of (15×$2) = $30

Total donation by Alonzo's mother = $10 + $30 = $40.

Hope this Helps!!!

5 0
3 years ago
0.75x - y = - 2.1<br> 0.6y 2.4x +9
Alex17521 [72]

Answer:

4x-3

Step-by-step explanation:

Yea

6 0
3 years ago
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