Answer:
option D would be your answer
Step-by-step explanation:
Let's say each row has x desks and there are y rows.
We then know that x*y =25
We also know that x*2-5=y (number number of rows is five less than twice the number of desks in each row)
So we substitute: x*(x*2-5)=25
putting numbers out of the brackets:
2x*x-5x=25
2x*x-5x-25=0
(2x+5)(x-5)=0 (this bracketing is true: you can check it by expanding it:
2x*x-10x+5x-25
So that means that either x=-2.5which can't be : there can't be a fractional number of benches,
or x=5
so each row has 5 desks and there are 2*5-5 rows, or 5 rows.
Answer: {2, -2, -6, -10}
Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.
To break it down:
The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:
-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2
Therefore does not follow the definition of an arithmetic sequence.
The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.
Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.
I hope this helped!
Answer: 22 1/2 cups
Step-by-step explanation:
multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups
Answer:
Assuming it is (4x4)^2, it is 64.
Step-by-step explanation:
The 4x4 part can basically add 1 to the exponent because you are multiplying a number by itself, and 4^3 is 64.
