2 years ago

123,000,000 as a multiple of a power of 10

Mathematics

1 answer:

Leto [7]2 years ago

6 0

Answer:1.23 x $10^{8}$

Step-by-step explanation:nn

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Where is the rectangle?

Step-by-step explanation:

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You will get 203/16 which will be 12.6875 in its simplest form

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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

Ronch [10]

Answer:

The system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

with solutions

$p =9$

$a = 7$

Step-by-step explanation:

Let us call $a$ the number of associates and $p$ the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

$600a+1200p = 15,000$ .

Since the law firm assigned at total of 16 lawyers, we have

$a+p = 16$ .

Thus, the system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

And the solution to this system is found by solving for $a$ in the second equation and substituting its value in the first equation:

$a = 16-p$

$600(16-p)+1200p = 15,000$

$9600-600p+1200p=15,000$

$9600+600p=15,000$

$600p=5400$

$\boxed{ p=9}$

We put this value into $a+p = 16$ and solve for $a:$

$a+9=16$

$\boxed{a = 7}$

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