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d1i1m1o1n [39]
3 years ago
9

The larger of two numbers is 12 times the smaller number. if the sum of two numbers is 15,600, find the two numbers.​

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

<h3>             1200 and 14400</h3>

Step-by-step explanation:

n   - smaller number

The larger number is 12 times the smaller number

12n  - larger number

n + 12n = 13n  - the sum of these numbers

13n = 15600

÷13        ÷13

 n = 1200

12n = 12•1200 = 14400

Check:  14400+1200 = 15600

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Find the 9th term of the geometric sequence 6,-24,96... <br><br>​
spin [16.1K]

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

5 0
3 years ago
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Answer:Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation ​ (0, 0)

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What is the perimeter of a rectangle
natta225 [31]

p=2(l+w)

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Explanation: The initial ratio of losses to wins is 3 to 2. If we sum the numer of losses and wins 3 + 2 = 5 games, that means they loss 3 out of 5 games , and they win 2 out of 5 games.

So if they had won twice as many of the games, that is 2*2=4. And since the number of games is the same ( 5 ), then they would have won 4 games and loss only 1.

So the new ratio of losses to wins will be 1 to 4, or expressed in a fraction: 1/4

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3 years ago
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