Chris has a collection of 20 baseball cards and kyle has collection of 40 baseball cards. chris is adding 3 baseball cards per month to his collection while kyle is adding one baseball card per month to his collection. after how many months will chris and kyle have the same number of baseball cards?

11 months

Step-by-step explanation:

The initial number of baseball cards that Chris has is 20.

This is like the first term of a sequence.

If Chris is adding 3 baseball cards per month, then there will be a constant difference of 3.

The number of baseball cards after months is given by the formula;

where

Similarly, Kyle initially has 40 baseball cards and adds one base ball card per month to  his collection;

The number of his baseball cards after months is given by the formula;

To determine the number of months that will pass before Kyle and Chris have the same number of base ball cards, we equate both equations to get;

We group like terms to get;

Therefore Chris and Kyle will have the same number of baseball cards after 11 months.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b