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3 years ago

7

To find the product of a 2 digit number and 1 digit number, you can multiply the tens, multiply the ones, and find the sum of ea

ch ................................... please answer this if you know

1 answer:

NARA [144]3 years ago

8 0

Of each ones place.... Or ... The sum of each number? Just trying to help.....

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Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10

murzikaleks [220]

Answer:

7

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

4 0

3 years ago

Read 2 more answers

there are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light what is the least nu

Natasha_Volkova [10]

Answer:

3/5

Step-by-step explanation:

To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)

4 0

3 years ago

Read 2 more answers

What is another. Name for 23 ten thousand

Genrish500 [490]

23 x 10,000 = 230,000

Another name for 23 ten thousand is: Two hundred thirty thousand

And another name also is: 230 Thousands

3 0

3 years ago

Read 2 more answers

What is the volume of the planter that measures 60l, 60w. 60h?

andre [41]

The volume of the planter that measures 60 l, 60 w. 60 h (D) 216000 cm³

<u>Explanation:</u>

Length, l = 60 cm

Width, w = 60 cm

Height, h = 60 cm

Volume, v = ?

We know,

Volume = length ×width × height

Substitute the values in the formula.

$v = 60 X 60 X 60\\\\v = 216,000 cm^3$

Therefore, the volume of the planter is 216,000 cm³

8 0

3 years ago