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Colt1911 [192]
3 years ago
9

Discount Rental Cars charges a daily fee plus a mileage fee for renting its cars. Barney was charged $145.00 for 3 days and 200

miles, while Mary was charged $275.50 for 5 days and 430 miles. What does Discount Rental Cars charge per day and per mile?

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

The charge per day is $25 and the charge per mile is $0.35

Step-by-step explanation:

Let

x -----> the charge per day

y ----> the charge per mile

we know that

3x+200y=145 -----> equation A

5x+430y=275.50 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The intersection point is (25,0.35)

see the attached figure

therefore

The charge per day is $25 and the charge per mile is $0.35

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Ymorist [56]

Answer:

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Step-by-step explanation:

7 0
3 years ago
A certain article reported the following observations, listed in increasing order, on drill lifetime (number of holes that a dri
aleksklad [387]

Answer:

Sample mean =119.42

Median = 92

25% trimmed mean = 102.42

10% trimmed mean = 95.69

Step-by-step explanation:

Data in increasing order :

12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513

Total no. of observations = 50

Sample mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}

= \frac{5971}{50} = 119.42

Median: Since we have even number of observation

Median = \frac{1}{2}({25\text{th term} + 26\text{th term}) = \frac{91+93}{2} = 92

10% Trimmed Mean: We remove 5 values from each side

Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{4097}{40} = 102.42

25% Trimmed Mean: We remove 12 values from each side.

Trimmed set =  66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{2488}{26} = 95.69

6 0
3 years ago
The base of a solid crate has an area of 6 square meters.The height of the crate is 4 meters. What is the volume of the crate?
professor190 [17]

Given is the base area of a solid crate, B = 6 square meters.

Given is the height of the solid crate, H = 4 meters.

We know the formula for volume of any solid is given as follows :-

(Volume of the solid) = (Base area of the solid) x (Height of the solid).

Volume = B x H.

Volume = (6 square meters) x (4 meters).

Volume = 24 cubic meters.

Hence, the volume of the solid crate would be 24 cubic meters.

6 0
3 years ago
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A paper clip is dropped from the top of a 144‐ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = −
BabaBlast [244]
\bf s(t)=-16t^2+144\implies \stackrel{velocity}{\cfrac{ds}{dt}}=-32t

when does it hit the ground?  check the picture below.

\bf 0=-16t^2+144\implies 16t^2=144\implies t^2=\cfrac{144}{16}\implies t^2=9
\\\\\\
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at that moment, the velocity is -32(3).

7 0
3 years ago
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1. is 23

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