Answer: I x^2 y^3 z
Step-by-step explanation:
This is the one most simplified. I’ll tell you why the others are incorrect.
F) 3^5 x^2 can be simplified. 3^5= 243. The simplified answer would be 243 x^2
G) (5y)^3= 125y^3
H) a^0 b (^0= 1 always) -> ab
Hope this helps!
Answer: 5%
Step-by-step explanation:
The number of employees that took Winter vacation = 75%
The number of employees that took Both winter and summer vacation = 40%
The number that took Neither = 20
The total number of employees (%) =Winter + Summer - Both + Neither = 100%
75%+ Summer - 40%+ 20%= 100%
Solving for Summer = 45%
Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%
79/100 is the same thing as 79%
The simplest way to do this is to set up equivalent fractions. So, you'd do:
=
and then solve for x.
x=52
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
