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3 years ago

24 + 0.44x = 19 + 1.69x

Mathematics

1 answer:

lys-0071 [83]3 years ago

6 0

Answer:

if it is find the value of x her it is

$24 + 0.44x = 19 + 1.69x \\ collect \: like \: terms \\ 24 - 19 = 1.69x - 0.44x \\ 5 = 1.25x \\ divide \: both \: side \: by \: 1.25 \\ \frac{5}{1.25} = \frac{1.25x}{1.25} \\ 4 = x \\ x = 4$

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3 years ago

3. The diameter of the large bird bath is 6 feet. The CGJ girls plan to put bird perches around the outside edge of the bath suc

Leokris [45]

First we need to determine the circumference of the bath.

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If you don't understand the concept then think of it like this, if you have in total 18.84 feet and you want to place something down every 3 feet then start subtracting 3 from your total till you can't add anymore perches.

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3 years ago

A rubber ball is dropped from the top of a hole. Exactly 20 seconds later, the sound of the rubber ball hitting bottom is heard.

gayaneshka [121]

9514 1404 393

Answer:

4192.9 ft

Step-by-step explanation:

We assume your falling-distance formula is supposed to be ...

s = 16t²

So, the time required to fall distance s is ...

t = √(s/16) = (1/4)√s

The time required for sound to travel distance s is ...

s = 1100t

t = s/1100

Then the sum of the time for the ball to fall and the time for the sound to travel back is ...

(1/4)√s + s/1100 = 20

275√s = 22000 -s . . . . . multiply by 1100 and subtract s

75625s = s^2 -44000s +484,000,000 . . . square both sides

s^2 -119,625s +484,000,000 = 0 . . . . put in standard form

s ≈ (1/2)(119,625 ±√12,374,140,625) = {4192.943, 115432.057}

Only the smaller of these two solutions makes any sense in this problem.

The hole is about 4192.9 feet deep.

_____

Additional comment

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

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