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Effectus [21]
3 years ago
7

bowl of soup is heated to 50 degrees above room temperature. The soup drop about 5 degrees every minute. About how much time wil

l it take for the temperature of the soup to return to room temperature?
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer: it will take 10 minutes to get back to room temperature.

Step-by-step explanation:

Let us assume that the room temperature is 25 degrees. The current temperature of the soup before the decrease would be 25 + 50 = 75 degrees.

The soup drop about 5 degrees every minute. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 75 degrees

d = - 5 degrees (it is decreasing)

n = t

We want to determine how long it will take to get back to 25 degrees, . Therefore,

25 = 75 -5 (t - 1) = 75 - 5t

5t = 75 - 25 = 50

t = 50/5 = 10 minutes

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Lana71 [14]

Answer:

A=4ft²

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Step-by-step explanation:

4 0
3 years ago
7/12 × 6\14 please help
Mama L [17]
7/12*6/14
  7*6=42
  12*14=168
=42/168
=0.25 =1/4
6 0
3 years ago
6. Christopher wants to leave a 15% tip for his breakfast. His breakfast cost $23.00, how
Anestetic [448]

Answer:

$3.45

Step-by-step explanation:

The tip is 15% of his breakfast, that means 15% of 23

That is 15%* 23= 15*23/100= 3.45 $

The tip is $3.45

Have a good day.

7 0
3 years ago
$668 at 9.25% for 5 years
madreJ [45]

Answer:

$21.17

Step-by-step explanation:

Simple Interest=P(1+r)^t

Compounded Interest=P(e^rt)

SI=668*(1.0925)^5

SI=1039.64

CI=668(e^(0.0925*5))

CI=1060.81

1060.81-1039.64=21.17

So the difference is $21.17, thus doing compounded interest is better.

8 0
3 years ago
Please help i need this done QUICK im timed ill give the best answer brainliest
seraphim [82]

Answer:

x=−32/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2(1/4x−3/5)=1/4(2/5+3/4x)

(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)

1/8x+−3/10=1/10+3/16x

1/8x+−3/10=3/16x+1/10

Step 2: Subtract 3/16x from both sides.

1/8x+−3/10−3/16x=3/16x+1/10−3/16x

−1/16x+−3/10=1/10

Step 3: Add 3/10 to both sides.

−1/16x+−3/10+3/10=1/10+3/10

−1/16x=2/5

Step 4: Multiply both sides by 16/(-1).

(16/−1)*(−1/16x)=(16/−1)*(2/5)

x=−3/25

7 0
3 years ago
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