The ratio of dogs to cats in a zoo choir is 4 : 3. There are 6 more dogs than cats. If another 2 cats join the choir, what will
1 answer:
Answer:
6:5
Step-by-step explanation:
c = number of cats
d = number of dogs
d = c+6
Set up a ratio:
4/3 = d/c
Then replace d with c+6, so your equation only has one variable.
Cross multiply
4c = 3(c+6)
Multiply everything in the parentheses by 3.
4c = 3c + 18
Subtract 3c from both sides
4c - 3c = 18
c = 18
d = c + 6 = 18 + 6 = 24
If 2 more cats join, then you will have 20 cats and 24 dogs, so the ratio of dogs to cats will now be 24:20. Divide each side by 4 for a ratio of 6:5.
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Answer:
1. y = 9280 - 20x
2. f(y) = 6.37y - 3
Step-by-step explanation:
1. The equation is given to be
Now, rearranging the function we can write
⇒ y = 9280 - 20x
Hence, this is the equation as a function of x. (Answer)
2. The given function is y - 6.37x = - 3
Therefore, we can write, y = 6.37x - 3
Hence, f(x) = 6.37x - 3
⇒ f(y) = 6.37y - 3.
Hence, option D is true. (Answer)
Answer:
(a³ - 6b)
Step-by-step explanation:
=
= (a³ - 6b)