8th grader here, what do you need help with?
Answer:
or ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)
Step-by-step explanation:
Note that
.
Also, note that
.
So, the inequality is really equal to
.
We can then add
to both sides to get
.
So, the solution is
, or in interval notation, ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)
Answer:
216 m³
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of area dimensions.
s = √(216/1014) = √(36/169) = 6/13
Then the ratio of volume dimensions is the cube of that. The smaller volume is ...
v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³
The volume of the smaller solid is 216 m³.
Answer:
(2,-1.5)
Step-by-step explanation:
There are 11 points in between the two points therefore it has to be (2,-1.5)
Answer:
89.
Step-by-step explanation:
We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.
The total of 12 quizzes to get 82 would be
.
The total scores earned by you in previous 7 quizzes are 
The total scores you need to earn on next 5 quizzes would be difference of scores in 12 quizzes and total scores in 7 quizzes as:

Now, we will divide total scores on coming 5 quizzes by 5 to find the average as:


Therefore, your average score on the next five quizzes should be 89 to increase your average to 82.