Answer:
B. Y²⁴
Step-by-step explanation:
For perfect cubes, the exponents are a multiple of three. If yᵃ is a perfect cube, then a/3=k where k is a whole number.
Among the provided choices, the exponent of y²⁴ is divisible by 3.
24/3 = 8.
Thus y²⁴ is a perfect cube.
The algebraic expressions given by the three students which was derived using the tiles represented in the figure are all correct.
<u>Patti's algebraic expression</u> :
2 - 1 + 2x - 3 could be broken down as follows :
- 2 = two shaded tiles with each having a +1 value
- -1 = white tile which has a - 1 value
- 2x = two shaded tiles labeled x
- -3 = 3 shaded tiles in the negative portion of the rectangle, with each having a - 1 value.
<u>Carla's Expression</u> :
2x + 2 - 4 could be explained thus :
- Carla builds on Patti's expression by summing up the negative values of the tiles.
- 2x + 2 - 1 - 3 = 2x + 2 - 4
<u>Emile's expression</u> :
2x - 2 could be explained thus ;
- Emile simplified the expression further by adding all the constant values to produce a simplified expression
2x + 2 - 1 - 3
2x + 2 - 4
2x - 2
Therefore, all the algebraic representation of the tiles given by the students are all correct.
Learn more :brainly.com/question/18112348
NO. of students = 19
Boys = n
Girls = n+5
Equation formation
n + n + 5 = 19
2 n + 5 = 19
2 n = 19 - 5
2 n = 14
n = 7
Boys = 7
Girls = 7 + 5 = 12
If the value of a percentage of a number is less than 100%, then the percentage will be smaller than the original number. If the value of the percentage is 100%, then the percentage will be equal to the original number. If the value of the percentage is greater than 100%, the percentage will be greater than the original number.
Hope that helped! =)
Hey there!
You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.
I hope this helps!