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lakkis [162]
3 years ago
9

A) Model this situation with a linear system:

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

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7392

Step-by-step explanation:

just divide 5544÷.75 on a calculator however you want to do it than you will get 7392

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A wave on a rope has a wavelength of 2.0 m and a frequency of 2.0 Hz. What is the speed of the wave?
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3 years ago
What do you know to be true about the values of p and q?
Harrizon [31]

The thing that's true about the values p and q is that p = q.

The total <em>sum of the angles</em> in a triangle is 180°.

From the first triangle, the value of p will be:

80° + 20° + p = 180°

100° + p = 180°

p = 180° - 100°

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From the second triangle, the value of q will be:

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7 0
2 years ago
A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample
dezoksy [38]

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}

Where, \overline{x} is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

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CI=12.2\pm 1.487535

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CI=[12.2-1.488, 12.2+1.488]

CI=[10.712, 13.688]

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

4 0
3 years ago
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