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frosja888 [35]
3 years ago
13

David was solving the following problem “determine 80% of 10” and got 80. Where did David go wrong? Show your Work!

Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer: He went wrong when multiplying.

Step-by-step explanation: He went wrong when multiplying because if you actually do the problem your answer would be 8 but he probably did 8 times 10.

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Answer:

1.5 hours

I traveled farther

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Step-by-step explanation:

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

My speed

\dfrac{2\dfrac{1}{6}}{\dfrac{1}{4}}=\dfrac{\dfrac{13}{6}}{\dfrac{1}{4}}=\dfrac{26}{3}\ \text{mph}

Speed of my friend

7\dfrac{1}{3}=\dfrac{22}{3}\ \text{mph}

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let t be the time taken to meet

\text{Distance}=\text{Speed}\times\text{Time}

\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}

So, we meet each other after 1.5 hours.

Distance traveled by me

\dfrac{26}{3}\times 1.5=13\ \text{miles}

Distance traveled by my friend

\dfrac{22}{3}\times 1.5=11\ \text{miles}

So, I traveled farther by 13-11=2\ \text{miles}.

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