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2 years ago

7 of 10 Work out (1.5 × 10¹⁰) ÷ (3 × 10-4) Give your answer in standard form.

Mathematics

1 answer:

Nataly [62]2 years ago

5 0

Answer:

5 × 10¹³

Step-by-step explanation:

(1.5 × 10¹⁰) ÷ (3 × 10⁻⁴) = 50,000,000,000,000

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

Vikki [24]

Answer:

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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3 years ago