What is the solution to the following inequality?
-4.2(1 + 2x) < - 23.55 +4.5x

Step-by-step explanation:

-4.2*(1 +2x) < -23.55 + 4.5

Use distributive property

-4.2*1 + 2x *(-4.2) < -23.55 + 4.5x

-4.2 - 8.4x < -23.55 + 4.5x

Add 8.4 x to both sides

-4.2 < -23.55 + 4.5x + 8.4x

-4.2 < -23.55 + 12.9x

Add 23.55  to both sides

-4.2 + 23.55 < 12.9x

19.35  < 12.9x

Divide both sides by 12.9

19.35/12.9 < x

1.5 < x

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.