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3 years ago

Simplify the rational expression: x+3/30x^3-12x^2 - x-1/30x^3-12x^2

Mathematics

1 answer:

Oxana [17]3 years ago

8 0

Answer:

1/15x^2(x-360)

Step-by-step explanation:

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Debbie cut a cord into sixths . She used five of the to make necklaces . She used equal lengths of the remaining cord for each o

Brut [27]

So she used $\frac{5}{6}$ of the cord to make necklaces.
$1- \frac{5}{6} = \frac{1}{6}$

She splits the $\frac{1}{6}$ length into 4 equal lengths.
To divide a fraction by a fraction, you multiply it by its reciprocal.
$\frac{1}{6} ( \frac{1}{4})$
$=\frac{1}{24}$

She used $\frac{1}{24}$ of the original chord to make each bracelet.

4 0

3 years ago

How many books can be stacked on top of one another inside a cupboard 1.21 m high on the inside, knowing that the thickness of e

kvasek [131]

Answer:

10 books approx

Step-by-step explanation:

Step one:

Given data

Hight of cupboard= 1.21m

Thickness of book= 12.5cm

thickness in meters= 12.5/100= 0.125m

Required

The number of books need to fill the Cupboard

Step two:

the number of books can be computed as

= 1.21/0.125

=9.68 book

=10 books approx

4 0

3 years ago

6r-16 _ r r=4 What is the answer?

Setler [38]

The answer is 8
6(4)-16=8 :)

3 0

3 years ago

How do you solve this

AlladinOne [14]

Answer:

domain: all terms are defined for all real numbers
solution: x = 6

Step-by-step explanation:

Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.

$5^{x-2}-7^{x-3}=7^{x-5}+11\cdot 5^{x-4}\\\\5^{x-2}-11\cdot 5^{x-4}=7^{x-3}+7^{x-5}\\\\5^{x-2}(1-11\cdot 5^{-2})=7^{x-3}(1+7^{-2})\\\\5^{x-2}\dfrac{14}{25}=7^{x-3}\dfrac{50}{49}\\\\1=\dfrac{2\cdot 7^{x-3}5^4}{2\cdot 5^{x-2}7^3}=\left(\dfrac{7}{5}\right)^{x-6}\\\\0=(x-6)\log(1.4)\\\\x=6$

6 0

3 years ago

How to dilate the figure by the scale factory?

Artyom0805 [142]

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

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3 years ago