logo for solving-math-problems.com
leftimage for solving-math-problems.com

Algebraic Linear Equation – number of deaths per minute










































Using Linear Equations

   • Worldwide, the annual number of births:

       1. Exceeds twice the number of deaths by 61,000.

       2. The daily number of births is 150 per minute (every day, 24/7).

   • What is the number of deaths per minute?

Comments for Algebraic Linear Equation – number of deaths per minute

Click here to add your own comments

Aug 30, 2012
number of deaths per minute
by: Staff


Answer:


Part I

B = number of births per minute

Y = number of births per year

D = number of deaths per minute

E = number of deaths per year


• The total number of births per year can be calculated as follows:

       Y = B * 24 hr/day * 60 min / hr * 365 days / yr

       Y = (150 births / min) * (24 hr/day) * (60 min / hr) * (365 days / yr)


       Rearrange the units so that you can easily cancel the units. This will ensure your answer is calculated as total births per year.


       Y = (150 births) * 24 * 60 * 365 * (1 / yr) * (min / min) * (days /day) * (hr / hr)

       Y = (150 births) * 24 * 60 * 365 * (1 / yr) * (min / min) * (days /day) * (hr / hr)

       Y = (150 births) * 24 * 60 * 365 * (1 / yr) * ( min / min ) * ( days / day ) * ( hr / hr )

       Y = (150 births) * 24 * 60 * 365 * (1 / yr) * (1) * (1) * (1)

       Y = (150 births) * 24 * 60 * 365 * (1 / yr)

       Y = 150 * 24 * 60 * 365 * (births / yr)

       Y = 78840000 * (births / yr)

       Y = 78,840,000 (births / yr)


• The total number of deaths per year can be calculated as follows:


       Y exceeds twice the number of deaths by 61,000.

       Y = 2 * E + 61,000

       78,840,000 = 2 * E + 61,000


       Solve for E

       78,840,000 = 2 * E + 61,000

       78,840,000 - 61,000 = 2 * E + 61,000 - 61,000

       78,840,000 - 61,000 = 2 * E + 0

       78,840,000 - 61,000 = 2 * E

       78,779,000 = 2 * E


       78,779,000 / 2 = 2 * E / 2

       78,779,000 / 2 = E * (2 / 2)

       78,779,000 / 2 = E * (2 / 2)

---------------------------------------------

Aug 30, 2012
number of deaths per minute
by: Staff


---------------------------------------------

Part II

       78,779,000 / 2 = E * (1)

       78,779,000 / 2 = E

       E = 39,389,500 (deaths / yr)


• The number of deaths per minute can be calculated as follows:


D = E / (number of minutes in a year)

       number of minutes in a year = (24 hr/day) * (60 min / hr) * (365 days / yr)

       number of minutes in a year = (24 hr/ hr) * (60 min / yr ) * (365 days / day)


       number of minutes in a year = 24 * 60 * 365 * (min / yr) * (days /day) * (hr / hr)

       number of minutes in a year = 24 * 60 * 365 * (min / yr) * ( days / day ) * ( hr / hr )

       number of minutes in a year = 24 * 60 * 365 * (min / yr) * (1) * (1)


       number of minutes in a year = 24 * 60 * 365 * (min / yr)

       number of minutes in a year = 525,600 (min / yr)


       D = E / (number of minutes in a year)


       D = 39,389,500 / 525,600
39389500 / 525600

       D = 74.9419710806697 deaths per minute


Check the answer:


       If Y exceeds twice the number of deaths by 61,000, than (B - 2*D) * (number of minutes in a year) must also = 61,000.

       61,000 = (B - 2*D) * (number of minutes in a year)

       61,000 = (150 - 2*74.9419710806697) * (525,600)

       61,000 = (150 - 149.8839421613394) * (525,600)

       61,000 = (0.1160578386606) * (525,600)

       61,000 =61,000.000000011358, OK




Thanks for writing.

Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com