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Serga [27]
3 years ago
7

Simplify square root of 300x8/ 27x12

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

10

-------------

3x^2

Step-by-step explanation:

First lets simplify what is inside the square root

300x8

---------------

27x12

3 * 100 x^8

------------------

3 *9 x^12

The 3's cancel  and we know a^b/ a^c = a^(b-c)

100/9 x^ (8-12)

100/9 x^-4

sqrt( 100/9 x^-4)

Put the negative exponent in the denominator and make it positive

sqrt( 100 / (9x^4) )

We know that sqrt( a / b) = sqrt(a) / sqrt( b)

sqrt(100)

----------------

sqrt( 9x^4)

10

-------------

3x^2

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ELEN [110]

Missing term = –2xy

Solution:

Let us first find the quotient of -8x^2y^3 \div xy.

-8x^2y^3 \div xy=\frac{-8x^2y^3 }{xy}

                    =\frac{-8\times x\times x\times y\times y\times y}{xy}

Taking common term xy outside in the numerator.

                    =\frac{xy(-8\times x\times y\times y)}{xy}

Both xy in the numerator and denominator are cancelled.

                    =-8xy^2

Thus, the quotient of -8x^2y^3 \div xy is -8xy^2.

Given the quotient of -8x^2y^3 \div xy is same as the product  of 4xy and ____.

-8xy^2=4xy × missing term

Divide both sides by 4xy, we get

⇒ missing term = \frac{-8xy^2}{4xy}

Cancel the common terms in both numerator and denominator.

⇒ missing term = –2xy

Hence the missing term of the product is –2xy.

4 0
3 years ago
Please help quickly if possible
lora16 [44]

Answer:

$36

Step-by-step explanation:

8a+5c

8(2)+5(4)

16 + 20

36

4 0
3 years ago
Read 2 more answers
A farmer needs to build a goat pen. The pen will be 7 yards wide and 12 yards long. The fencing material costs $1.33 per yard. H
Oksi-84 [34.3K]
12 + 12 + 7 + 7 = 38 yards
$1.33 x 38 yards = $50.54
Answer = $50.54
7 0
2 years ago
I really need some help
defon

Answer:

405,376

Step-by-step explanation:

the question is worded weirdly.

Its saying 37,700 copies were sold in one month and then that amount is 9.3% of books sold to date. So, its saying that 37,700 is only 9.3% out of 100%. To get the hundred i devided 37,700 into 9.3 to see how much 1% is. then i multiplied that by 100

8 0
3 years ago
Four more than three times a number is greater than 22
fenix001 [56]

Answer:

4 + 3x > 22

More = Add +

Times a number = x

Greater Than = >

5 0
3 years ago
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