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Nastasia [14]
3 years ago
12

If 25% of a number is 100, what is the number?

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

400

Step-by-step explanation:

25% is a fourth 100 ×4 is 400

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franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. As
Furkat [3]
To solve this question the equation is
175=75+50m
Where m is the number of months
Solve the equation for m
175-75=50m
100=50m
M=100÷50
M=2 months
8 0
3 years ago
Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
1 year ago
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Find the slope of the line that passes through the points (-1,8) and (3, -4). Is this slope greater than, less than, or equal to
Gre4nikov [31]
Slope is -3 and it is less than the slope of y=3x+5
4 0
3 years ago
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CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL
adell [148]

Answer:

3. 3/2

4. -1/3

5. -3.5

6. -6and 2/3

7. -18and 13/24

8. 1/18

9.-2.6

10.-1.83

11. 14.963

Step-by-step explanation:

HOPE THIS HELPS, if not see me in the comments

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The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of th
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China plate is 12 years (16-4) and Glass plate is 4 years (12÷3)
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