First of all let's define Distributive Property. So, it is an algebra property which aims to multiply a single term or more terms to a set inside a parenthesis. In the case above,
the first thing to do is to multiply 4 to each term inside the parenthesis:
11+4(x+2y+4)
=11+4x+8y+16x
Then , you should combine like terms. Like terms have a whole number and the same variable in this case a whole number and x which is why:
=11+20x+8y
This is the final equivalent expression
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
Answer:
Unit Price for Brand A: $0.31 per Pencil.
Unit Price for Brand B: $0.35 per Pencil.
Brand A is the better buy.
Step-by-step explanation:
Divide 7.49 by 24 to get 0.312 and round down to 0.31.
Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)
Compare 0.31 and 0.35. (0.31 < 0.35)
5<x<9. The third side can not be bigger than the sum of the other two sides, hence the less than 9. But it also has to add to 2 to be bigger than 7, so it has to be greater than 5.
Answer:
x = 25
Step-by-step explanation:
If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°
By the opposite angle rule, ∠JLK = 39°
In a triangle three angles sum up to 180°
so, ∠JLK + ∠JKL +LJK = 180°
39° + 61° + 3x+ 5 = 180°
3x = 75
x = 25