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jarptica [38.1K]
4 years ago
13

If 3/4 of a certain number is equal to 41/2 find the number​

Mathematics
1 answer:
SSSSS [86.1K]4 years ago
7 0

Answer:

x = \frac{82}{3}

Step-by-step explanation:

  • let x be that number

(\frac{3}{4} )x =  \frac{41}{2}

\frac{3x}{4} = \frac{41}{2}

  • multiply both sides by 4

\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\

  • divide both sides by 3

\frac{3x}{3} = \frac{82}{3}

x = \frac{82}{3}

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You deposit $800 in an account that pays 2.25% annual interest compounded continuously. About how long will it take for the bala
timurjin [86]

Answer:

48.8 years

Step-by-step explanation:

A=p(1+r/n)^nt

A= total amount

p= initial investment (800_

r/n= annual interest rate over number of years( 2.25)

t= number of years compounded ( annually , biannually, quarterly etc.)

48.8 years

7 0
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.

_____

<em>Additional comment</em>

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.

7 0
3 years ago
A field starts with /18 turkeys /in it. /9 turkeys come in, 5 turkeys leave, /half of the remaining turkeys then also leave. How
Stells [14]
11 turkeys come into the field. 18 plus 9 is 27. 27 minus 5 is 22. half of 22 is 11.


3 0
3 years ago
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Brut [27]

Answer:

((1)/(2),-(1)/(2))

Step-by-step explanation:

3 0
3 years ago
Find the values of x and y
Aloiza [94]

Answer:

x = 9.2

y = 5.5

Step-by-step explanation:

y/5 = 6/y

y^2 = 30

y = 5.5

x/5 = 17/x

x^2 = 85

x = 9.2

7 0
3 years ago
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