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3 years ago

Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?

Mathematics

2 answers:

kakasveta [241]3 years ago

6 0

Answer: 1/2 minute

Step-by-step explanation:

1/6 page is multiplied by 6 to get 1 whole page, so you have to multiply the time 1/12 of a minute by 6 to get 1/2 minute.

olganol [36]3 years ago

5 0

Answer:

1/2 min per page is his rate.

Step-by-step explanation:

We want to know how much time per 1 page,right? So just set up the ratio and solve.

mins

page

are the units we want, so take our info and set up the ratio in that way:

1/12 min ÷ 1/6 page = ___ (Remember that to divide by a fraction is the same as to multiply by its inverse.) So we can flip the second fraction over and multiply:

1/12 * 6/1 = 6/12 = 1/2 min per page is his rate.

This answer makes sense because in the original units, the time number (1/12) is half of the pages number (1/6)

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oksian1 [2.3K]

Answer:

(8.21, -20.79)

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

Hence the solution to the system of equation is (8.21, -20.79)

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qaws [65]

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Answer:

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