Consider 
(1) As x increases and y stays constant, z ______
(2) As y increases and x stays constant, z _____
(3) As x increases and z stays constant, y ______
Answer:

(1) As x increases and y stays constant, z increases
When y stays constant, z is directly proportional to x. So , as x increases the z also increases.
(2 ) As y increases and x stays constant, z decreases.
When x stays constant, z is inversely proportional to y. So , as y increases the z decreases.
(3) As x increases and z stays constant, y increases
(z stays constant)
So equation becomes 
When z stays constant, y is directly proportional to x. So , as x increases the y also increases.
Answer:
49
Step-by-step explanation:
x + 100 + 31 = 180
x + 100 + 31 - 100 - 31 = 180 -100 -31
x = 49
Answer:
54,400
Step-by-step explanation:
We want to see which one of the given variables is a discrete variable, the correct option is "number of pockets inside jacket"
<h3>What is a discrete variable?</h3>
A discrete variable is a variable that can't take some values in a given interval where it is defined, in contrast to a continuous variable, which can take all the values of the interval.
For example, the "length of a jacket" would be considered a continuous variable, as the length can take any measure you want.
Similar for the weight and the size of the jacket pocket in square inches, these are continuous variables.
But the remaining option is not continue, the number of pockets inside the jacket can only be an integer, then there are values (like 1.3) that can't represent the number of pockets inside the jacket, thus, this is a discrete variable.
So the correct option is the first one: "number of pockets inside jacket"
If you want to learn more about discrete variables, you can read:
brainly.com/question/14486464
Answer:
Step-by-step explanation:
you have 1144 books but without knowing how many rows there are i cant help you find the minimum number.
but all you have to do is take the number of the books all together (1144)
then divide that number by how many rows or shelf there are