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;
![C_n=20+(n-1)3](https://tex.z-dn.net/?f=C_n%3D20%2B%28n-1%293)
![\Rightarrow C_n=20+3n-3](https://tex.z-dn.net/?f=%5CRightarrow%20C_n%3D20%2B3n-3)
where ![n\ge1](https://tex.z-dn.net/?f=n%5Cge1)
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;
![K_n=40+(n-1)1](https://tex.z-dn.net/?f=K_n%3D40%2B%28n-1%291)
![K_n=40+n-1](https://tex.z-dn.net/?f=K_n%3D40%2Bn-1)
![\Rightarrow K_n=n+39](https://tex.z-dn.net/?f=%5CRightarrow%20K_n%3Dn%2B39)
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;
![\Rightarrow 3n+17=n+39](https://tex.z-dn.net/?f=%5CRightarrow%203n%2B17%3Dn%2B39)
We group like terms to get;
![3n-n=39-17](https://tex.z-dn.net/?f=3n-n%3D39-17)
![\Rightarrow 2n=22](https://tex.z-dn.net/?f=%5CRightarrow%202n%3D22)
![\Rightarrow n=11](https://tex.z-dn.net/?f=%5CRightarrow%20n%3D11)
Therefore Chris and Kyle will have the same number of baseball cards after 11 months.
Answer:
7
Step-by-step explanation:
Outcomes of the spinner: 2, 3
Outcomes of the die: 1, 2, 3, 4, 5, 6
Add 2 to 1, 2, 3, 4, 5, 6 to get:
3, 4, 5, 6, 7, 8
Add 3 to 1, 2, 3, 4, 5, 6:
4, 5, 6, 7, 8, 9
All different sums:
3, 4, 5, 6, 7, 8, 9
Answer: 7
Answer:
Option D is correct i.e none of the above
Step-by-step explanation:
According to the definition of parallelogram following are the properties of parallelogram
1. Opposite sides are congruent
2.Opposite angels are congruent
3.Consecutive angles are supplementary
4.If one angle is right, then all angles are right.
5.The diagonals of a parallelogram bisect each other.
6.Each diagonal of a parallelogram separates it into two congruent triangles.
So option D is correct as rest all are properties of parallelogram.
Keywords: Geometry
Learn more about Geometry at:
#learnwithBrainly
Answer:
0.5
Step-by-step explanation:
-20 and -40
quotient means divide one another
-20 / -40
= 20/40
= 2/4
= 0.5
I made these into tiny tiny steps, enjoy.