Answer:
9(9m + 3t) = 81m + 27t
Step-by-step explanation:
With brackets with more than one term inside multiplied by a number;
The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;
So, in this case, the number 9 must be multiplied by each term inside the brackets:
9 × 9m = 81m
9 × 3t = 27t
So to expand, opening the brackets, you get:
81m + 27t
A) 1 over 10 minus 1 over x equals 1 over 25
B) 1 over 10 minus 1 over 25 equals 1 over x
C) 1 over 25 minus 1 over x equals 1 over 10
D) 1 over 10 minus 1 over x equals x over 25
Answer: The correct option is
A) 1 over 10 minus 1 over x equals 1 over 25
Step-by-step explanation: We are given to select the correct option that can be used to determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.
Let, 'x' minutes be the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.
We have
Time taken by Perry to fill the sorter with oranges from the conveyor belt
= 10 minutes.
So, in 1 min, the portion of the sorter filled by Perry from conveyor belt is
While Gillian taking oranges out of the sorter, time taken by Perry to fill the sorter with oranges = 25 minutes.
So, in 1 min, the portion of the sorter filled by Perry is
Time taken by Gillian to empty the sorter if Perry does not add oranges = x min.
So, in 1 minute, the portion of the sorter emptied by Gillian is given by
Therefore, the required equation that determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges is given by
Thus, (A) is the correct option.
2) Use the rules of exponents to evaluate or simplify. Write without negative exponents.
1 / 4^-2 = ____