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3 years ago

6

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

e?

1 answer:

strojnjashka [21]3 years ago

3 0

He had 50 books before.

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I'm supposed to simplify this.

tekilochka [14]

Answer:

C

Step-by-step explanation:

the proof of the answer is seen in the diagram

4 0

3 years ago

How does the volume of an oblique cone change if the height is reduced to 2/3 of its original size and the radius is doubled

spayn [35]

The volume of oblique cone = $\frac{1}{3} \pi r^{2} h$

Now radius is doubled is now it is 2r

And height is reduced to 2/3 of its original size that is 2/3 h

So plugging the values we get volume

New Volume = $\frac{1}{3} \pi (2r)^2 (\frac{2}{3} h)$

= $\frac{1}{3} \pi 4r^2 (\frac{2}{3} h) = \frac{8}{6} \pi r^{2} h =\frac{8}{2} (\frac{1}{3} \pi r^{2} h )$ $=4*(\frac{1}{3} \pi r^{2} h )$

It means the volume becomes 4 times

3 0

3 years ago

Write by what rule you know the triangles are congruent, or write CNBD for "Cannot be determined." Segments and angles are congr

Triss [41]

RSM huh. I feel bad. I'm in this too.

4 0

3 years ago

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

3 years ago

1. Chip has $100 saved in his banking account. His dad has agreed to pay him $2.50 every day he cleans all the

elixir [45]

It will take 62 days

4 0

3 years ago

Read 2 more answers