If c varies directly as d-3, and if c=16 when d=7, find c when d=10

Given, c varies directly as d-3. So, the equation will be:

c= k(d-3) where k is constant of variation.

If c=16 when d=7. So, plug in these values in the above equation. Hence,

16=k (7-3)

16=k*4

16/4= k

k= 4

Now plug in k=4 in the above equation to get the equation of this variation.

c=4(d-3).

We need to find c when d=10. So, plug in d=10 in the above equation to get the value of c. So,

c =4(10-3)

=4*7

=28

So, c=28.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

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step-by-step explanation: