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Thepotemich [5.8K]
3 years ago
10

Igloos unlimited charges $150 per night with a 50% discount for every night after the third night .if you stay for days how much

will you pay?
Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

Answer:

150x,       (x<=3)

225+75x,   (x>3)

*x is the number of nights stayed.

Step-by-step explanation:

-Let the number of days stayed be x.

#If the number of days is equal to or less than 3 days, the cost is:

Cost=C_d\times Days\\\\=150x

Hence, the cost for x>3 is given by 150x

#If the number of days is greater than 3, the the cost is calculated as:

\#First \ 3 \ Days.\\Cost=C_d\times Days\\\\\\=150\times 3\\\\=450\\

\\\#Next \ number \ of \ days\\\\Cost=C_d\times Days\\\\=0.5(150)\times (x-3)\\\\=75(x-3)

We sum the two costs for x>3

\sum{Costs}=450+75(x-3)\\\\=225+75x

Hence, the cost for x>3 is given by 225+75x

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Answer:

B

Step-by-step explanation:

In a function, each input (x) must match with one output (y). So, if there are two sets of coordinates with the same y value, that's not a function.

5 0
3 years ago
Combine like terms 18x-(-7x)+31-(-37)-5x
viktelen [127]

Answer:

20x+68

Step-by-step explanation:

6 0
3 years ago
Tracey paid $165 for an item that was originally priced at $450. What percent of the original price did Tracey pay? Round your p
Ipatiy [6.2K]

Answer:

36.67%

Step-by-step explanation:

To find the percent, divide 165 by 450 (part over whole) and multiply by 100

(165/450) x 100

= 36.67

So, Tracey paid 36.67% of the original price

4 0
3 years ago
The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th
goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

6 0
3 years ago
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll
slamgirl [31]

Answer:

The score is  x  =  1884

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  = 1500

     The standard deviation is  \sigma  =  300

     

From the question we are told that the score follow a normal distribution

i.e     X  \~  \   N( 1500 , 300)

The proportion of score in the top 10% is mathematically

           P(X > x )  =  P( \frac{X -  \mu}{\sigma }  > \frac{x -  \mu}{\sigma }   ) = 0.10

Where x is the minimum score required to be in the top 10%

Now the \frac{X -  \mu}{\sigma }   =  Z (The  \ Standardized \ value \  of  \  X)

  So

            P(X > x )  =  P( Z > \frac{x -  \mu}{\sigma }   ) = 0.10

So

            P(X > x )  =  P( Z > \frac{x -  1500}{300}   ) = 0.10

So the critical value of  0.10  from the normal distribution table is  Z_{0.10} =  1.28

So

               \frac{x -  1500}{300}   = 1.28

              x  =  1884

           

       

6 0
3 years ago
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