Mathematics: Larry has a gift card worth 400 for a local entertainment store movies cost $20 each and newly released video games cost $50 each. in order to use the gift card, larry must purchase at least nine items. which is a combination of movies and newly released video games that larry could purchase using his gift card? a: (5, 6)b: (10, 4)c: (20,0)d: (15, 2)

132 pounds.Step-by-step explanation:1. Add 12 to get 264.2. Divide 264 by 2 to get 132....

Larry has a gift card worth 400 for a local entertainment

Tori122367

08.01.2022

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

$x+y\geq 9$

Check both inequalities of all given ordered pairs.

For (5,6),

$20(5)+50(6)\leq 400\Rightarrow 400\leq 400$

$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

$20(10)+50(4)\leq 400\Rightarrow 400\leq 400$

$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

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