Respuesta :
Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:
[tex]\frac{4}{3}=\frac{32}{d}[/tex]
To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable [tex]d[/tex] and see if it satisfies the equation.
1) [tex]d=22[/tex]
[tex]\frac{4}{3}=\frac{32}{22}[/tex]
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
[tex]\frac{4}{3}=\frac{32\div 2}{22\div 2}[/tex]
[tex]\frac{4}{3}=\frac{16}{11}[/tex]
The above statement can never be true and hence 22 is not a solution.
2) [tex]d=23[/tex]
[tex]\frac{4}{3}=\frac{32}{23}[/tex]
The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) [tex]d=24[/tex]
[tex]\frac{4}{3}=\frac{32}{24}[/tex]
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
[tex]\frac{4}{3}=\frac{32\div 8}{24\div 8}[/tex]
[tex]\frac{4}{3}=\frac{4}{3}[/tex]
The above statement is always true and hence 24 is a solution.
4) [tex]d=25[/tex]
[tex]\frac{4}{3}=\frac{32}{25}[/tex]
The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
