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alexandr1967 [171]
2 years ago
10

Mark sold 2 7/8 gallons of lemonade. Regan sold 2/3 as much as Mark. How much did Regan sold in gallons? can you solve it step b

y step please??
Mathematics
1 answer:
adelina 88 [10]2 years ago
0 0

Answer:

Step-by-step explanation:

The phrase "twice as much lemonade" tells you that if Mark sold 2 gallons and Regan sold twice as much as Mark, then Regan sold 2 * 2 which is 4 gallons, right?  It's the same with the "2/3 as much".  But since 2/3 is less than 1, the amount after you multiply some number by 2/3 is going to be less than the original number.  

If Mark sold 2 7/8 gallons and Regan sold 2/3 as much, then Regan sold

2\frac{7}{8}*\frac{2}{3}

I teach my algebra students to change that mixed fraction into an improper to make the multiplication easier:

\frac{23}{8}*\frac{2}{3}=\frac{46}{24}=\frac{23}{12}=1\frac{11}{12}

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Answer:

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Step-by-step explanation:

given \\ diameter \: of \: sphere \:  = 12 \: inches \\ radius \: of \: sphere \:  =  \frac{diameter}{2}  \\ radius \:  =  \frac{12}{2}  = 6 \: inches \\ volume \: of \: sphere \:  =  \frac{4}{3} \pi \:  {r}^{3}  \\ here \: r \:  =  \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi  \:  {6}^{3}  \\ \\ volume \: of \: sphere = \frac{4}{3} \pi  \times 216 \\  \:  \:  = 4\pi \times 72 \\  \:  \:  = 288\pi \\  \:  \:  = 904.778 \: cubic \: inches

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

4 0
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