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antiseptic1488 [7]
3 years ago
15

How do you convert fractions to a specific base with exponents? Is there a specific way or equation for this? For example, i nee

d to solve 1/2^3-x=2^3x-7 but first i have to make the bases the same. I'm not sure how to get 1/2 equal to 2 with exponents
Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

\frac{1}{2}  =  {2}^{ - 1}

Step-by-step explanation:

remember the property

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

then u get equation with same base

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Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

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A would now be a positive 6
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7 (5х + 2) = 3х + 14<br> Need help solving
FinnZ [79.3K]
Answer: 0

35X +14=3X +14
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3 0
4 years ago
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find the surface area of a regular square pyramid with a slant height of 17 m and a base perimeter of 44 m
iragen [17]
The side length is 18 ft 
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Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.
Sedbober [7]

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\

4 0
3 years ago
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