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son4ous [18]
3 years ago
14

Write an inequality that represents the following problem. There are two cell phone plans available from Cell Phones R Us compan

y. Plan A charges $30 a month plus $0.01 for every text message. Plan B charges $20 a month plus $0.05 for every text message. How many text messages do you need to send in order for Plan A to be cheaper than Plan B?
Mathematics
2 answers:
Sergio [31]3 years ago
3 0
If PLAN A is cheaper than PLAN B then,
P (A) < P (B)
30+0.01t < 20+0.05t      (subtract 0.05t from both sides)
29.95-0.04t < 19.95        (<span>subtract 29.95 from both sides)</span>
-0.04t < -10                      (<span>divide both sides by -0.04)</span>
t > 250
<span>So plan A is cheaper than plan B when you send more than 250 texts.</span>
Hope it helps.




Salsk061 [2.6K]3 years ago
3 0

Answer:

<u><em>Minimum number of messages to be sent is 251 for Plan A to be cheaper than Plan B.</em></u>

Step-by-step explanation:

Let the text messages needed to be sent in order for Plan A to be cheaper than Plan B be N

Therefore total cost of sending text messages in case of Plan A is

C_A=\$ (30+0.01N)

and total cost of sending text messages in case of Plan B is

C_B=\$ (20+0.05N)

Now for Plan A to be cheaper than Plan B , C_A < C_B

\therefore (30+0.01N)< (20+0.05N)=>N> 250

Thus for Plan A to be cheaper than Plan B more than 250 messages needed to be sent . <u><em>Minimum number of messages to be sent is 251 for Plan A to be cheaper than Plan B.</em></u>

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Apple weights in an orchard are normally distributed. from a sample farmer fred determines the mean weight of a box of apples to
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One printing press can print the whole school newspaper in 12 hours, while another press can print in 18 hours. How long will th
rusak2 [61]

Answer:

7 Hours 12 Minutes

Step-by-step explanation:

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3 years ago
What value or values of x satisfy 2x + 5.31 = 4.2?
Softa [21]

Answer:  x can equal -3.2 or -7.4.

Step-by-step explanation:

The correct expression is:

2|x+5.3|=4.2

So, we have an absolute value equation, where it can be positive or negative:

  • Positive

2 (x+5.3)=4.2

2x+10.6 =4.2

2x=4.2-10.6

2x = -6.4

x= -6.4/2

x = -3.2

  • Negative

2[-(x+5.3)]=4.2

-2x-10.6 =4.2

-2x= 4.2+10.6

-2x= 14.8

x= 14.8/-2

x= -7.4

x can equal -3.2 or -7.4.

Feel free to ask for more if needed or if you did not understand something.  

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