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kari74 [83]
1 year ago
5

Which expression is equivalent to...

Mathematics
1 answer:
olga_2 [115]1 year ago
6 0

Answer:

8m^5

Step-by-step explanation:

Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)

This gives us the fraction: \frac{24m^7}{3m^2}

We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: \frac{24 * m * m * m * m * m * m * m}{3 * m * m}

Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:

\frac{24 * m * m * m * m * m}{3} which can be simplified in exponent form as: \frac{24m^5}{3}, now all we have to do is divide the 24 by the 3, to get 8

This gives us the answer: 8m^5

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Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
Radda [10]

Answer:

Kevin is 6 years old and Daniel is 3 years old

Step-by-step explanation:

They are now 3 years apart but two years ago, they were 4 and 1 years old, so Kevin was 4 times older than.

Hope this helped :)

5 0
3 years ago
I need help asap plz I will mark branlist promise
anygoal [31]

Assuming none of the factors is zero, if an odd number of the factors of a multiplication problem have negative signs, then the product will be negative. Otherwise, the product is positive.

Assuming the dividend of a division problem is non-zero, the quotient wil be negative if the signs of the dividend and divisor are differnt. Otherwise the quotient is positive.

In short, if a multiplication or division problem involves an odd number of minus signs, the result will be negative. Otherwise, the result is positive.

5 0
3 years ago
for every 5 coins carmen gets, she gives 2 to her brother Frankie. If carmen has 9 coins, how many does frankie have?
aliya0001 [1]
Since Carmen gives two coins to Frankie for every five that she gets, she effectively only gains 3 coins at a time. Therefore, if she has 9 coins, Frankie must have 6.
7 0
3 years ago
A 6 pound bag of oranges cost 6.78 What is the unit price?
oksano4ka [1.4K]

Answer:

$1.13

Step-by-step explanation:

Since 6 pound bag of oranges costs $6.78...

\frac{6.78}{6}

Now, let's divide 6.78 in to 6 to find our unit price.

\frac{1.13}{1}

Now we know 1 pound, (our unit price), costs...

$1.13

5 0
3 years ago
Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equat
Karolina [17]

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

A=p(1+r)^t

substituting we have

A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\

The final amount is $110.25

6 0
2 years ago
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