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Dmitrij [34]
3 years ago
6

The owner of a city parking garage uses a rate table so that he can look up the parking charges quickly. Enter a number as a dec

imal in each box to complete the table below. What is the garage's unit rate for parking? Kristin was charged $42.25 for parking. How many hours did she park her car at the garage? Enter the answer as a mixed number in the simplest form.

Mathematics
2 answers:
ioda3 years ago
6 0

Answer:

Step-by-step explanation:

1.

hours      1/2      1         1.5       2        2.5         3          3.5        4

charges  3.25    6.50   9.75   13.0    16.25    19.50   22.75   26.00  

2. The garage rate of parking is ;

$3.25 = 0.5 hr

?=1----------------------twice the charge for half an hour

=2*3.25=$6.50

$6.50 per hour

3.

$6.50=1 hour

$42.25=?------------------cross multiply

$(42.25*1)÷$ 6.50 = 6 hrs 30 min

ozzi3 years ago
5 0

Answer:

The required table is shown below:

Hours         1/2          1         1.5        2        2.5          3          3.5        4

Charges   $3.25  $6.50  $9.75  $13.0  $16.25  $19.5  $22.75   $26

Garage's unit rate for parking $6.50.

She park her car at the garage for 6\frac{1}{2} hours.

Step-by-step explanation:

Consider the provided table.

Part (A)

The owner charges $3.25 for 1/2 hour.

This can be written as:

1/2 hours = $3.25

Multiply both the sides by 2.

1 hour = $6.50

For 1\frac{1}{2} he will charge: $6.50 + $3.25 = $9.75

Similarly, you can solve for other values.

The required table is shown below

Hours         1/2          1         1.5        2        2.5          3          3.5        4

Charges   $3.25  $6.50  $9.75  $13.0  $16.25  $19.5  $22.75   $26

Part (B)

Now we need to find the garage's unit rate.

Unit rate is how much of something per 1 unit of something else.

From the table we can say that garage's unit rate for parking $6.50.

Part (C)

Kristin was charged $42.25 for parking.

The charges for per hour is $6.50. Let Kristin park her car for x hours.

Thus, the charge for x hours will be x times 6.50. This can be written as.

6.50x=42.25\\x=\frac{42.25}{6.50} \\x=6.50

It is required the answer should be in mixed fraction.

Thus, she park her car at the garage for 6\frac{1}{2} hours.

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cluponka [151]

Answer:

x = 2

Step-by-step explanation:

since both equal y, you can set them equal to each other

x + 4 = 3x + 0

subtract x on both sides

4 = 2x

divide by 2 on both sides

2 = x

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4 0
3 years ago
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According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0
3 years ago
Let A=(1,2,3,4,5)which of the following sets are equal to A?
Rom4ik [11]

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

5 0
3 years ago
A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc
Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr

And the direction of the woman relative to the surface of the water is given by

\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0
3 years ago
At the start of the month, Suzanne's clothing store website had 7,278 hits. At the end of the month, it had 50,165 hits. If each
jeyben [28]

Answer:

The closest answer would be A. 64,500

Step-by-step explanation:

50,165 - 7,278 = 42,887 hits

42,887 × 1.5 = 64,350.5 minutes

3 0
2 years ago
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