Respuesta :
Answer:
f-6
Step-by-step explanation:
6 "fewer than" means we subtract 6. Since there are 6 less males than females, we subtract the 6 from the number of females, f:
f-6
The expression for the number of boys cousin is [tex]\boxed{{\mathbf{m = f - 6}}}[/tex].
Further explanation:
Given:
It is given that the number of male cousin is 6 less than the number of female cousin.
Step by step explanation:
Step 1:
Consider [tex]f[/tex] as the number of female cousin and [tex]m[/tex] as the number of male cousin.
The relation between the number of males and females is “number of males are 6 less than the number of females”.
The relation between number of males and females can be mathematically expressed as,
[tex]m = f - 6[/tex] ……. (1)
It shows the expression for the number of boys cousin.
Here, [tex]f[/tex] is the independent variable and [tex]m[/tex] is the dependent variable.
Consider the number of cousin females are 12.
Now substitute the value of [tex]f = 12[/tex] in equation (1) to obtain the value of [tex]m[/tex].
[tex]\begin{aligned}m &= 12 - 6 \hfill\\m &= 6 \hfill\\\end{aligned}[/tex]
Therefore, if the number of females are 12 then the number of males would be 6.
The above relation can be expressed as,
[tex]\begin{aligned}m&= f - 6 \hfill\\f&= m + 6 \hfill\\\end{aligned}[/tex]
From this resultant relation can be said that the number of females are 6 more than the number of males.
It shows the expression for the number of female cousin
If the number males are 6 then the number of females are 12.
Therefore, the relation can be expressed in two ways.
Thus, the expression for the number of boys cousin is [tex]m = f - 6[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear system of equations.
Keywords: Number of female cousin, male cousin, expression, marcella, boys cousin, relation, equation, fewer, more than , less than
