fats52
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

the mean of: a, a, b is 30

the mean of a, a, b, b, b, is 20
find the values of a and b

Sagot :

belisa2020kgi

a+b = 40

Step-by-step explanation:

Mean of a and b is [math]\frac{a+b}{2} = 20[/math]

[math]

SpiritInly

Answer:

a is 42.5

b is 5

Step-by-step explanation:

the mean of: a, a, b is 30

[tex] \frac{a + a + b}{3} = 30[/tex]

[tex] \frac{2a + b}{3} = 30[/tex]

multiply 3 on both sides

[tex]2a + b = 90[/tex]

the mean of a, a, b, b, b, is 20

[tex] \frac{a + a + b + b + b}{5} = 20[/tex]

[tex] \frac{2a + 3b}{5} = 20[/tex]

multiply 5 on both sides

[tex]2a + 3b = 100[/tex]

solve both equations simultaneously

[tex]2a + b = 90 [/tex]

[tex]2a + 3b = 100[/tex]

subtract across. 2a-2a=0, b-3b= -2b, 90-100= -10

[tex] - 2b = - 10[/tex]

[tex]b = 5[/tex]

go back to one of the equations and substitute b=5 back in to find a

[tex]2a + b = 90[/tex]

[tex]2a + 5 = 90[/tex]

subtract 5 on both sides

[tex]2a = 85[/tex]

divide 2

[tex]a = 42.5[/tex]

so a is 42.5 and b is 5

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.