Choose all situations that correctly state the ratio. a neighborhood has 27 cats and 12 dogs. the ratio of cats to dogs in the neighborhood is 9 to 4 because for every 9 cats there are 4 dogs. in a class of 30 students, there are 16 boys and 14 girls. the ratio of girls to boys is 8 to 7 because there are 8 girls for every 7 boys. the won-lost ratio for a baseball team is 36: 18; therefore, the team lost 2 games for each game won. the number of horses in a kingdom is 100, and the number of knights is 50. the ratio of knights to horses is one knight for every 2 horses.. fifty-two out of the 88 keys on a piano are white. thus, for every 13 black keys, there are 9 white keys.

 The answers are given below.

Step-by-step explanation: All the given situations are -

* * * A neighbourhood has 27 cats and 12 dogs. So, the ratio of cats to dogs is

= 27 : 12 = 9 : 4. That is, for every 9 cats, there are 4 dogs.

Thus, the situation correctly states the ratio.

* * *  In a class of 30 students, there are 16 boys and 14 girls. So, the ratio of girls to boys is = 14  : 16 = 7 : 8, because there are 7 girls for every 8 boys.

Thus, the situation does not state the ratio correctly.

* * * The won-lost ratio for a baseball team is 36 : 18 = 2 : 1. That is, the team won 2 games for each game lost.

Thus, the ratio does not state the situation correctly.

* * * The number of horses in a kingdom is 100, and the number of knights is 50. The ratio of knights to horses is = 50 : 100 = 1 :2. That is, There is one knight for every two horses.

Thus, the ratio states the situation correctly.

* * * Fifty-two out of the 88 keys on a piano are white, so ratio of white to black piano is = 52 : (88-52) = 52 : 36 = 13 : 9. That is, for every 13 white keys, there are 9 black keys.

Thus, the ratio does not state the situation correctly.

Hence, all are done.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

i think it would be 42cm