Makahanap ng mga solusyon sa iyong mga problema sa tulong ng mga eksperto ng IDNStudy.com. Hanapin ang mga solusyong kailangan mo nang mabilis at madali sa tulong ng aming mga eksperto.

a varies directly as b and c and a=90 when b=6 and c=3 find a when b=4 and c=1/2?



Sagot :

Answer:

The value of a is 5.

Step-by-step explanation:

Mathematical Equation:

[tex]\LARGE\text{$a=kbc$}[/tex]

For the constant of variation (k):

Given:   [tex]a=90[/tex],   [tex]b=6[/tex],   [tex]c=3[/tex]

Find:   [tex]k=?[/tex]

Formula:   [tex]a=kbc[/tex]

Solution:

[tex]a=kbc\\90=(6)(3)k\\90=18k\\\frac{90}{18}=\frac{18k}{18}\\\boldsymbol{5=k}[/tex]

For the value of a:

Given:   [tex]k=5[/tex],   [tex]b=4[/tex],   [tex]c=\frac{1}{2}[/tex]

Find:   [tex]a=?[/tex]

Formula:   [tex]a=kbc[/tex]

Solution:

[tex]a=kbc\\a=(5)(4)(\frac{1}{2})\\a=(5)(2)\\\boxed{\boldsymbol{10}}[/tex]

#CarryOnLearning