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1.Translate the following verbal statement into an algebraic equation and then solve:
The sum of two times a number and five is eight more than the number.

 

 

2.You are choosing between two different cell phone plans. The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $39.95 plus 8 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? 

NOTE: Enter > for more than and < for less than in the text box below.

more than or less than? ________

 

__________minutes

NOTE: Round to two decimal places for your final answer.

 Jan 26, 2021
 #1
avatar+116126 
+1

1.Translate the following verbal statement into an algebraic equation and then solve:
The sum of two times a number and five is eight more than the number.

 

2N +  5  =  N + 8

 

2N - N   =   8   - 5

 

N   =  3

 

 

cool cool cool

 Jan 26, 2021
 #3
avatar+208 
+1

thank you this is much more helpful to him i had algebra already completely forgot it once i got in accounting class

monkeyree1124  Jan 26, 2021
 #2
avatar+116126 
+1

2.You are choosing between two different cell phone plans. The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $39.95 plus 8 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? 

 

Let M  be the number of minutes we are  looking for

We will express  everything in  cents

If the second plan is  prefereable, it  must be  cheaper than the  first....so.....we have his inequality

 

3995 + 8M  <   19M

 

3995  <   19M - 8M

 

3995 <  11M

 

3995/11   <  M

 

363.18 <  M

 

At about    364 minutes,  the  second plan is cheaper

 

 

cool cool cool

 Jan 26, 2021
 #4
avatar+267 
0

363 minutes actually...but 364 is also fine

KitSoundwave  Jan 27, 2021

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