In Khan Academy: Equations & inequalities word problems:
A 5 inch by 7 inch picture is placed in a frame that creates a uniform border of x inches around the picture.
The area of the entire frame (including where the picture is placed is equal to 120 square inches.

Answer ( if trying to find x ) :

x = 44

Step-by-step explanation:

5 x 7 = 35 ( area of picture )

120 -> ( area of the whole picture + frame )

120 - 35 = 85 ( area of just the frame )

factor's of 85 -> 1 ,5 ,17 ,85 ( can't be 1 by 85 inch's picture ,so you get 5 by 17 )

5 + 5 + 17 + 17 = 44 (perimeter of the frame ( perimeter formula= l + l + w + w ) )

44 inch's ( ? )

(7+2x)(5+2x)=120

Step-by-step explanation:

We know that the picture is 5 inches wide and 7 inches long. Since there is a uniform border of x inches around the picture, we must add 2x inches to each dimension.

Therefore, the width of the frame is 5+2x, and the length of the frame is 7+2x

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

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!