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olchik [2.2K]
2 years ago
8

Marcus is 5 19/24 feet tall. Ben is 5 9/16 feet tall. Which of the two boys is taller?

Mathematics
1 answer:
Ksju [112]2 years ago
4 0

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by <u>multiplying one by the other's denominator</u>, so let's proceed,

\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}

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Sliva [168]

Answer:

7/11 (Simplified Already)

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Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

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Solution by Formulas

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2×355×22

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An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem
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Answer:

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x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

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32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

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3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

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