A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan costs $30 per month but offers unlimited text messaging. Complete parts a. and b. below. a. How many text messages would have to be sent or received in order for the plans to cost the same each month? In order for the plans to cost the same. text messages would have to be sent or received​

a. 50 texts per month (you didn't include part b, sorry!)

Step-by-step explanation:

the difference in the plans is $10, so you have to find the number of texts that equal $10

$10/$0.20 = 50 text messages

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

∠cbe and ∠deb are same-side interior angles.

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