Answer: The correct option is (A) 
Step-by-step explanation: Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.
We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.
Also, we are to find the number of weeks.
The number of weeks it will take Raymond to have only 24 books left is represented by 'w'.
We have
number of books read by Raymond is 1 week = 3.
So, number of books read by Raymond is w weeks = 3w.
Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be
According to the given information, we get
thus, the required equation is 
and number of weeks is 32.
Option (A) is correct.
<u>Use the distributive property to solve. Multiply the two by every term in the parentheses and then combine alike terms.</u>
Answer:
xy
2xy
4
Step-by-step explanation:
A factor is a number of term you can factor out of each part of the expression/ or divide it by.
In -24xyz - 12xy + 20xyz
All three parts have xy, so it is a factor
All three don't have 12xz, because -12xy doesn't have z variable for instance.
All three have 2xy.
All three can't factor out 3y, because you can't divide 20 by 3 nicely.
All three can't factor out 4yz, because middle term -12xy doesn't have z.
All three can't factor out 12, because you can't nicely divide 20/12.
All three can factor out 4, because -24, -12, and 20 are all divisible by 4.
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Answer:
aₙ = -15 + 10 * (n-1)
Step-by-step explanation:
aₙ = a₁ + (n-1)*d a₁: first term d: common difference
a₅ a₁ + 4d =25 .... (1)
a₁₁ a₁ + 10d = 85 ...(2)
(2) - (1) 6d = 60
d = 10
a₁ = -15
Formula: aₙ = -15 + 10 * (n-1)
Answer:
95°
Step-by-step explanation:
It's a <u>pattern</u>:
<em>135,95,135,135,115,</em><em>95</em><em> </em>
The pattern is<em>...</em> 135, (95) then two more 135's then 115 then the pattern restarts.
I hope this helps!
