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Ede4ka [16]
2 years ago
9

Which of the following shows how to write 8,240 pennies as dollars?

Mathematics
1 answer:
olasank [31]2 years ago
5 0

Answer:

$ 82.40

Step-by-step explanation:

you divide

100 pennies in a dollar

8240/100=82.40

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6+8x2=5x<br><br> A. –2<br><br> B. –1<br><br> C. 1/3<br><br> D. \(3\)
VMariaS [17]
From order of operations, we do multiply/divide first, then add/subtract. So:
(I assume that is 8 times 2, and 5 times x, solving for x)

6+8<span>⋅</span>2 = 5x
6 + 16 = 5x
22 = 5x
x = 22/5 (twenty two fifths)
3 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
Read 2 more answers
Help plzz be serious
Rzqust [24]

Answer: 864

Step-by-step explanation:

mulitiply all

5 0
3 years ago
When adding 2/3 + 4/5, what step must be completed first?
Irina18 [472]

Answer:

you have to find the smallest common denominator

Step-by-step explanation:

so once the fractions have the same denominator you can add them easily and simplify

6 0
3 years ago
Jose makes $10000 a month plus some money by commission rates. He gets 6% of everything he sells. If Jose sold $59000 worth of i
IgorC [24]

Answer:

$13540

Step-by-step explanation:

Divide 100 from $59000 in which you get 1% of that worth.  If he gets 6% of that commission rate then he would get $3540 since 1% is $590 and you multiply by 6 to get that number.  Since he makes $10000 a month as stated, you would then add the amount $3540 for his salary to get $13540.

3 0
3 years ago
Read 2 more answers
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