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k0ka [10]
1 year ago
11

A hardware store rents vacuum cleaners that customers may use for part or all of a day, up to 12 hours, before returning. The st

ore charges a flat fee plus an hourly rate. Write a linear function f for the total rental cost of a vacuum cleaner.

Mathematics
1 answer:
Reptile [31]1 year ago
5 0

Answer:

Step-by-step explanation:

Let x represents the amount that the customer pays per hour

for renting the vacuum cleaner before returning it.

Let y represent the flat rate that the store charges a customer for renting the vacuum cleaner.

Let F represent thea amount that the store charges a customer for renting the vacuum cleaner for x hours.

A linear function F for the total retail cost of a vacuum cleaner would be

F(x) = x + y

If the customer rents it for n hours, the total amount becomes

F(x) = nx + y

You might be interested in
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
2 years ago
A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take
ddd [48]

Answer:

For 90% CI = (0.428, 0.572)

For 98% CI = (0.399, 0.601)

The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 66/132 = 0.50

Number of samples n = 132

Confidence level = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

0.50 +/- 1.645√(0.50(1-0.50)/132)

0.50 +/- 1.645√(0.001893939393)

0.50 +/- 0.071589436011

0.50 +/- 0.072

(0.428, 0.572)

The 90% confidence level estimate of the true population proportion of students who responded "yes" is (0.428, 0.572)

For 90% CI = (0.428, 0.572)

For 98% CI = (0.399, 0.601)

The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.

7 0
2 years ago
Please help I will give brainliest
lutik1710 [3]

Answer:

Angle PQW is equal to 35 degrees

Step-by-step explanation:

Angle PQW = 36x - 1

Angle WQR = 134x

Angle PQR = 169 degrees

To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:

PQR - WQR = PQW

Substitute in the values

169 - 134x = 36x - 1

Now add 134x to both sides and add 1 to both sides.

170 = 170x

Now divide 170 from both sides

x = 1

Plug x into angle PQW

36(1) - 1 = 35

6 0
2 years ago
Beth normally cycles a total distance of 56 miles per week.
Vikki [24]

Answer:

She will cycle 85.169 miles in the third week.

(round if needed)

Step-by-step explanation:

56÷100=0.56 (this is 1%)

0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)

repeat for the other 3 weeks

64.4÷100=0.644

0.644 x 15 + 64.4 = 74.06

74.06÷100=0.7406

0.7406 x 15 + 74.06 = 85.169

8 0
2 years ago
Supervisor: "You did a great job last month. You made $75.00 an hour with your commission pay.” Employee: "This month I want to
nasty-shy [4]
I'd say you make 90$ an hour.

   $75.00 + (20% x 75)

Rewritten 20% as .2 

 75 + ( .2 x 75 )
 
75 + 15 =

  90



 OR

75 x 1.2

  
4 0
2 years ago
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