2.5% per year multiplay by 5 equals 12.5% then multiple 2500 with 12.5 equals 312.5
The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.
Answer:
The equivalent expressions are;
8a + 2 and 6a + 6b
Step-by-step explanation:
The two leftover expressions are given as;
2(4x + 1) and 6(a + b)
In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.
Thus simply means expanding or collecting like times to make it clearer.
Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.
Thus;
2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
8x + 2
Similarly,
6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
6a + 6b
Thus;
The equivalent expressions are;
8a + 2 and 6a + 6b
In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:
y - 4x = 9
-x + 4 = y
Add x to both sides of the second equation:
y + x = 4
y - 4x = 9
This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:
5x = -5
x = -1
Use x to solve for y:
y + (-1) = 4
y = 5
So, x = -1 and y = 5.
Answer: a) 11,238,513 and b) 292,201,338
Step-by-step explanation:
Since we have given that
Number of white balls = 69
Number of white balls drawn = 5
Number of red balls = 26
Number of red balls drawn = 1
According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.
So, a) Possible different ways of Powerball tickets can be purchased is given by
![^{69}C_5\\\\=11,238,513](https://tex.z-dn.net/?f=%5E%7B69%7DC_5%5C%5C%5C%5C%3D11%2C238%2C513)
And
b) Number of possible ways of different winning Poweball tickets are there would be
![26\times ^[69}C_5\\\\=292,201,338](https://tex.z-dn.net/?f=26%5Ctimes%20%5E%5B69%7DC_5%5C%5C%5C%5C%3D292%2C201%2C338)
Hence, a) 11,238,513 and b) 292,201,338
I don’t know what the question is but it would be 8 divides out evenly