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ValentinkaMS [17]
3 years ago
6

A company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. Th

e table below shows the total charges, y, in dollars, of renting riding equipment for x number of days:
Number of Days
(x) Total Charges (dollars)
(y)
0 6
1 16
2 26

What is the fixed amount charged?

$6

$10

$16

$26
Mathematics
1 answer:
zvonat [6]3 years ago
8 0
At the coordinate point (0, 6), if x is days and y is dollars, we can tell that 0 days is 6 dollars.  That's the fixed fee.  $6.
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Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne
FrozenT [24]
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
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3 years ago
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Ierofanga [76]
The answer is 50 y squared minus 4 x squared
5 0
3 years ago
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The height of a plant, y, in centimeters, is measured x weeks after planting a seed. The height can be modeled by the regression
Gnoma [55]

Answer:

D. The limiting value for the height of the plant is 6.88 cm.

Step-by-step explanation:

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In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R
Vitek1552 [10]

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

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6 0
3 years ago
If z=2.5, x=102 and x=100, what is s?
Bad White [126]

I believe the problem ask for s which is the standard deviation. We must recall that the formula for z statistic is stated as:

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Where,

z = z statistic = 2.5

x = sample value or sample score = 102

x over bar = the sample mean or sample average  = 100

s = standard deviation = unknown

Rewriting the equation in terms of s:

s = (x – x over bar) / z

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s = (102 – 100) / 2.5

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