While visiting a friend's home, i saw kittens and children playing in the backyard. counting heads, i got 11. counting feet, i got 32. how many kittens and how many children were in the backyard?

There are 5 cats and 6 children

Step-by-step explanation:

Let x = number of cats

Let y= number of children

Counting heads gives 11

X+Y = 11 eq1

Counting feet gives 32

Cats has 4legs,child has 2 legs

4X + 2Y=32 eq2

X = 11 - Y

Put in eq2

4(11-Y) + 2Y = 32

44 - 4Y + 2Y=32

12=2Y

Y=12/2=6

Y=6= Children

Put Y=6 in eq2

X + 6=11

X=11-6=5

X= 5 = cats

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.