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Sonbull [250]
3 years ago
7

Write the mixed number as a fraction 1 1/8

Mathematics
2 answers:
Julli [10]3 years ago
6 0
The mixed number 1 1/8 as an improper fraction is : 9/8

to find this you multiply the denominator 8 by the number in front 1, you get 8
then you add the number above the denominator, the number is 1. you get 9, then you simply put the 9 over the 8

Hope this Helped :) 
Angelina_Jolie [31]3 years ago
4 0
It would be 9/8

Hope this helps!
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Estimate the square root to the nearest integer and tenth square root of 8
Sever21 [200]

Answer:

√

8

≈

3

Explanation:

Note that:

2

2

=

4

<

8

<

9

=

3

2

Hence the (positive) square root of  

8

is somewhere between  

2

and  

3

. Since  

8

is much closer to  

9

=

3

2

than  

4

=

2

2

, we can deduce that the closest integer to the square root is  

3

.

We can use this proximity of the square root of  

8

to  

3

to derive an efficient method for finding approximations.

Consider a quadratic with zeros  

3

+

√

8

and  

3

−

√

8

:

(

x

−

3

−

√

8

)

(

x

−

3

+

√

8

)

=

(

x

−

3

)

2

−

8

=

x

2

−

6

x

+

1

From this quadratic, we can define a sequence of integers recursively as follows:

⎧

⎪

⎨

⎪

⎩

a

0

=

0

a

1

=

1

a

n

+

2

=

6

a

n

+

1

−

a

n

The first few terms are:

0

,

1

,

6

,

35

,

204

,

1189

,

6930

,

...

The ratio between successive terms will tend very quickly towards  

3

+

√

8

.

So:

√

8

≈

6930

1189

−

3

=

3363

1189

≈

2.828427

8 0
3 years ago
Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank
s344n2d4d5 [400]

formula is A=P(1-\frac{r}{n})^{nt}

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years


we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12


remember that ln(x^a)=a(ln(x))

also that (a^b)^c=a^{bc}

2(5745)=5745(1+\frac{0.065}{12})^{12t}, solving for t

divide both sides by 5745 to simplify things a bit

2=(1+\frac{0.065}{12})^{12t} I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

2=(\frac{12.065}{12})^{12t}

take ln of both sides

ln(2)=ln((\frac{12.065}{12})^{12t})

ln(2)=(12t)ln(\frac{12.065}{12})

divide both sides by 12ln(\frac{12.065}{12})

\frac{ln(2)}{12ln(\frac{12.065}{12})}=t

using our calculator, t≈10.6927


so rounded, we get 10.7 years

3 0
3 years ago
Store A: $25 for a 45 minute lesson Store B: $30 for a 1 hour lesson Store C: $45 for a 1.5 hour lesson Store D: $80 for three 1
Vikentia [17]

Answer: Store C by far, less money more time.


Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Two boxes of identical birthday candles are pictured: a 2-ounce box and a 6-ounce box. There are 96 candles in the large box. Ho
Lostsunrise [7]
Ratio of large box
96:6
Thus 96/6 = 16

Small box 
2*16 = 32
There are 32 candles in the small box.


5 0
2 years ago
List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds t
loris [4]
7 + 3.(2 - 3x) = 67
3 brackets are distributed

7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9
8 0
3 years ago
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