Lourdes1r
Answered

PLEASE HELP ASAP I ONLY HAVE TILL 4:30 TO FINISH THREE TESTS!

A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule


(4x2y3)(3x2y2)


where y represents the number of white tiles.


Which simplified expression represents the number of colored tiles used for a path of length x feet?


7x4y5

7x4y6

12x4y5

12x4y6

Verified Answer :

meerkat18

(4x²y³)(3x²y²)

4 3 = 12
x² x² = x x x x = x^4
y³ y² = y y y y y = y^5

12x^4y^5  third option.

Answer:

Option C.\(12x^{4}y^{5}\)

Step-by-step explanation:

If x feet is the length of the path, the number of colored tiles needed to make it is calculated using the rule as

(4x²y³)(3x²y²)

Here y represents the number of white tiles.

Now simplified expression that represents the number of colored tiles used for a path of x feet length will be

= (4×3).(x².x²)(y³.y²)

= \(12.[x^{(2+2)}].[y^{(3+2)}]\)

= \(12x^{4}y^{5}\)

Therefore option C. is the answer.