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3 years ago

10

Elena's cousins went to a restaurant. The part of the entire cost of the meal that was tax and tip together was 25% of the cost

of the food alone. What could the tax rate and tip rate be?

1 answer:

garri49 [273]3 years ago

6 0

The tax rate could be 5% as we usually pay for our tax rate in our food and 20% could be the tip rate

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Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t

Rainbow [258]

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

$\text{Total number of jelly beans}=5+4+3=12$

Now we can find out out our desirable ratio by substituting our finding in the ratio.

$\text{Number of green jelly beans}:\text{Total number of jelly beans}=4:12\\=1:3$

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.

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3 years ago

Find x, if 36, x, x, 16 are in proportion.<br><br>please tell fast

Semenov [28]

Step-by-step explanation:

36 : x :: x : 16

16 x 36 = x2

576 = x2

Taking square root on both sides

24 = x

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3 years ago

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13x = 39

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1 year ago

The apothem is 3V3 units because it is

Reika [66]

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2 years ago

5x3 + 14x2 + 9x <br> help

Cerrena [4.2K]

<h3>Answer: x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\$

Then use those two solutions to find the factorization

x = -1 or x = -9/5

x+1 = 0 or 5x = -9

x+1 = 0 or 5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0

3 years ago