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andreev551 [17]
3 years ago
9

What's is the smallest power of 10 that would exceed 999,999,999,991?

Mathematics
2 answers:
TEA [102]3 years ago
6 0
10 to the power of any number HAS to only have 1 and zeroes in it.. A number that starts with 1, ends in zeros and is greater than 999,999,999,991 is 1,000,000,000,000

1,000,000,000,000 = 10^{12}   <-answer    

(note: it has 12 zeroes)

klasskru [66]3 years ago
6 0

Answer:

The required smallest power of 10 that would exceed 999,999,999,991 is 12.

Step-by-step explanation:

Given : Number 999,999,999,991.

To find : What's is the smallest power of 10 that would exceed number ?

Solution :

Let the required power be 'x'.

According to question,

10^x=999,999,999,991

Taking log both side,

\log (10^x)=\log(999,999,999,991)

Apply logarithmic property, \log a^x=x\log a

x\log (10)=\log(999,999,999,991)

x=\log(999,999,999,991)

Using calculator,

x=12

Therefore, The required smallest power of 10 that would exceed 999,999,999,991 is 12.

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jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
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Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

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3 years ago
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