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Rina8888 [55]
3 years ago
6

Normally the rate at which you expend energy during a brisk walk is 3.6 Calories per minute. (A Calorie is the common unit of fo

od energy, equal to 4184.1 J.) How long do you have to walk to produce the same amount of energy as a 150 W lightbulb that is lit for 5.8 hours?
Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

Answer:

3.5 hour

Step-by-step explanation:

During a brisk walk, rate at which energy is expended is P(expend) = 3.6 calories per min

1 calorie = 4184.1 J

Energy produced by bulb is P(bulb) = 150W

time = 5.8 hrs

Convvert 5.8 hrs to secs. we have

t = 5.8*3600

t= 20880 secs

Power = Energy/time

150 = energy / 20880

Energy = 150 * 20880

= 3132000J

Convert the rate at which cv h energy is expended into joules per second, we have

(3.6 * 4184.1)/60

P(expend) = 251J/s

= 251W

Recall that P = E/t

t = E/p

t = 3132000/251

t = 12478 secs

Convert secs to hour

t = 12478/ 3600

t= 3.5 hours

The time requtied to produce the s\me amount of energy as 150W bulb that lights up 5..8hrs is t = 3.5 hrs

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1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7
Anton [14]

The solution of the equation is x=3 and y=1

Explanation:

The equations are y=x-2 and y=-2 x+7

First we shall solve the equation graphically.

The image of the graph is attached below.

This contains the solution to the system of equations.

The equations y=x-2 and y=-2 x+7 are plotted on the graph.

The intersection of these two equations are the solutions of the system of equations.

Thus, the intersection of the two equations are x=3 and y=1

Now, we shall solve the equation algebraically.

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Dividing both sides by 3,

x=3

Thus, the value of x is 3.

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y=3-2\\y=1

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4 0
3 years ago
Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 7 feet i
Tju [1.3M]

Answer:

5/4in

Step-by-step explanation:

The initial length:

1 ft = 12 in

8 ft = 8 * 12 in    

= 96 in

The final length:

7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in

                     = 7 * 12 in + 10 in + 3/4 in                    

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8 0
3 years ago
0.45 plus 9x equals 27
oee [108]

Answer:

x = 2.95

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

0.45 plus 9x equals 27

0.45 + 9x = 27

<u>Step 2:  Solve for x</u>

0.45 + 9x - 0.45 = 27 - 0.45

9x / 9 = 26.55 / 9

x = 2.95

Answer:  x = 2.95

7 0
3 years ago
Read 2 more answers
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