Answer:
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.
Answer:
Step-by-step explanation:
2 1/7 x 4 3/8
15/7 x 3/2
45/14 or 3 3/14
Answer:
It increased by 25%
Step-by-step explanation:
Use the equation of a line: y = mx + c
- “M” stands for the slope
- “C” is the coordinate “y” when the line intercepts the y axis.
Any line which is perpendicular to another has the opposite gradient/slope of the original line: instead of 2, we now have 1/2. Easy way to do this is simply give it the reverse sign (+ or -) and flip the numerator and denominator.
Therefore, we replaced m with 1/2.
Usually to find c and therefore complete the equation, we need a coordinate which the line crosses, to which we substitute its values into y and x and solve for c.
Since we aren’t given that though, we can just do factor of elimination, giving C) as your answer because it is the only one with the gradient which we found.