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3 years ago

It takes Jimmy 11 minutes to sweep a porch.

Mathematics

2 answers:

Katena32 [7]3 years ago

7 0

Answer:

5.96 min

Step-by-step explanation:

Jimmy's rate, J = 11 min for whole porch

Amy's rate, A = 13 min for whole porch

to find the combined rate, C,

the reciprocal of the combined rate equals the sum of the reciprocals of each individual rate. i.e

1/C = 1/J + 1/A

substituting the above values

1/C = 1/11 + 1/13 (convert right side to same denominator)

1/C = 13 / (11 x 13) + 11 / (11 x 13)

1/C = 13 /143 + 11 /143

1/C = (13 + 11) /143

1/C = 24 /143 (taking reciprocal of both sides)

C = 143 / 24 = 5.96 min

lara31 [8.8K]3 years ago

4 0

Like 6 minutes or somthin

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Identify the 8th term of the geometric sequence in which a3 = 16 and a6 = −128

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3 years ago

Can someone help me find the equivalent expressions to the picture below? I’m having trouble

miss Akunina [59]

Answer:

Options (1), (2), (3) and (7)

Step-by-step explanation:

Given expression is $\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}$ .

Now we will solve this expression with the help of law of exponents.

$\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}=\frac{\sqrt[3]{(2^3)^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}$

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$=2^{\frac{1}{3}-\frac{1}{9}}\times 3^{\frac{1}{3}-1}$

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$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2$ [Option 1]

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$=\sqrt[9]{4}\times \sqrt[3]{\frac{1}{9} }$ [Option 3]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(2^2)^{\frac{1}{9}}\times (3^{-2})^{\frac{1}{3} }$

$=\sqrt[9]{2^2}\times \sqrt[3]{3^{-2}}$ [Option 7]

Therefore, Options (1), (2), (3) and (7) are the correct options.

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3 years ago

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Circle graphs or pie charts are used to represent data in percentages or proportions

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The circle chart is not given.

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