Solve for x 2(x−1)=5(x−2) Give your answer as an improper fraction in its simplest form.
2 answers:
Answer:
<h2>Step-by-step explanation:
<h3><u>♤</u> <u>Given</u><u> </u><u>Question</u><u>:</u><u>-</u></h3>- To solve for x
- 2(x−1)=5(x−2)
2(x - 1) = 5(x - 2)
=> 2 × x - 2 × 1 = 5 × x - 5 × 2 <em>[</em><em>Distributive</em><em> </em><em>property</em><em>]</em>
=> 2x - 2 = 5x - 10 <em>[</em><em>Simplification</em><em>]</em><em> </em>
=> 5x - 2x = 10 - 2 <em>[</em><em>Bringing</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>on</em><em> </em><em>one</em><em> </em><em>side</em><em>]</em>
=> 3x = 8 <em>[</em><em>Simplification</em><em>]</em>
<em>[</em><em>In</em><em> </em><em>simplest</em><em> </em><em>form</em><em> </em><em>of</em><em> </em><em>improper</em><em> </em><em>fraction</em><em>]</em>
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Answer:
Ted will need cups of pretzels to make 15 cups of trail mix.
Step-by-step explanation:
Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.
So, 1/4 cup of pretzels to make 1 trail mix
x cups of pretzels to make 15 trail mix
Using the ratio and proportional
∴ x = (1/4) * 15 = 3.75 = cups.
<u>Ted will need </u><u> cups of pretzels to make 15 cups of trail mix.</u>
let me know if the propositions they gave don't match with mine.
thanks
