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Paul [167]
3 years ago
8

If 10 minutes is how long it took Lisa to walk 1/4 of the way home, how long does it take to walk 2/3 of the way home?

Mathematics
1 answer:
Mumz [18]3 years ago
8 0

Answer:

26\frac{2}{3}  minutes  (or 26 minutes 40 seconds)

Step-by-step explanation:

This problem can be very easily solved with ratios and proportions.

We can create two ratios and equate them. Then we cross multiply and find the unknown.

Let the time it takes to walk 2/3rd of the way be "t".

We will keep minutes on top (numerator) and the fractional way on the bottom (denominator) when creating our ratios.

Simply put,  10 mins = 1/4th of the way, so "t" mins means 2/3rd of the way. Thus we can write:

<em>\frac{10}{\frac{1}{4}}=\frac{t}{\frac{2}{3}}\\\frac{1}{4}t=10*\frac{2}{3}\\\frac{1}{4}t=\frac{20}{3}\\t=\frac{\frac{20}{3}}{\frac{1}{4}}\\t=\frac{20}{3}*\frac{4}{1}\\t=\frac{80}{3}\\t=26\frac{2}{3}</em>

<em />

sO, IT IS GOING to take  26\frac{2}{3} minutes to go 2/3rdof the way.

Or, 26 minutes and 40 seconds

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Step-by-step explanation:

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2 years ago
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galina1969 [7]

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7 0
2 years ago
Approximate the solution to this system of equations. (6 points)
mr_godi [17]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Create a list of steps, in order, that will solve the following equation.
Vlada [557]

Answer:

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Step-by-step explanation:

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Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):

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9 - 9 = 0:

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2 a = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 a = -6 by 2:

(2 a)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

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8 0
2 years ago
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stich3 [128]

Answer:

The answer is:  " 5a^\frac{1}{2} "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " 5\sqrt{a} " .

_______________________________________________

<u>Note the following property of exponents</u>:

\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n .

_____________________________________________

So;  to write:  " √a "  ;  <u> </u><em><u>as an exponent</u></em><u> </u> :

______________________________________________

<u>Note</u>:  

" \sqrt{a}  = \sqrt[2]{a} =   \sqrt[2]{a^1} = (\sqrt[2]{a})^1 =  a^\frac{1}{2} " .

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<u>So</u>:

" \sqrt{a}  =  a^\frac{1}{2} "  ;

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<u>And</u>:

________________________________________________

" 5\sqrt{a}  =  5a^\frac{1}{2} " .

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   →   The answer is:  " 5a^\frac{1}{2} " .

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Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

________________________________________________

6 0
3 years ago
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