Respuesta :

soorajnhaloor

Answer:

When d = 8

c = 48

when c = 54

d = 9

Step-by-step explanation:

We have the equation c is proportional to d

[tex]c \: \: \: \alpha \: \: d[/tex]

ie

[tex]\frac{c}{d} = \: a \: constant[/tex]

here given that c = 24 and d = 4 so,

[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]

so we have to find values for c and d which gives

c/d = 6

so when d = 8

[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]

absor201

Answer:

  • c = 6d
  • c = 48 when d=8
  • d = 9 when c=54

Step-by-step explanation:

We know:

‘c’ is directly proportional to‘d’

and

c = 24 when d = 4

W can write this in mathematical form as:

c∝d

Removing the proportionality symbol, k is the constant of proportionality

c = kd

To find the value of k, putting the known values of c and d

[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]

So the equation becomes

[tex]c = 6d[/tex]

To find the value of c when d = 8

[tex]c = 6*8\\c = 48[/tex]

To find the value of d when c=54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

  • c = 6d
  • c = 48 when d=8
  • d = 9 when c=54

Otras preguntas