Radius = half of diameter
16 mm/2 = 8 mm
Solution: 8 mm
Y= 8/2x + -4 i think is that one
Answer: The solution is the set of all real numbers (there are infinitely many solutions).
The reason why this is the case is because |x| is never negative. The smallest it can get is 0, which is larger than -3. That applies to |x-2| as well. So |x-2| is ALWAYS larger than -3 no matter what you pick for x. The smallest |x-2| can get is 0 and that happens when x = 2. Otherwise, the result is some positive value which is larger than -3.
So that's why |x-2| > -3 has infinitely many solutions. We can replace x with any real number we want, and the inequality would be true.
Answer:
The third choice is the correct one : Emily has a greater fraction of country music than Imani.
Explanation:
For Emily:
18 out of 24 of the CDs are country music.
This means that the ratio is 3/4 which greater then 1/2
For Imani:
5 out of 8 of the CDs are country music
This means that the ratio is 5/8 which is also greater than 1/2
Now, let's check the choices:
First choice:
<span>Half of each CD collection consists of country music.
</span>This choice is wrong as we have noted that the ratio for both is greater than 1/2
Second choice:
<span>less than half of each CD collection consists of country music.
</span>This choice is wrong as we have noted that the ratio for both is greater than 1/2
Third choice:
<span>Emily has a greater fraction of country music than Imani.
</span>Emily - Imani = 3/4 - 5/8 = 1/8
This means that Emily has more country music than Imani
Therefore, this choice is correct
Fourth choice:
<span>Imani has greater fraction of country music than Emil.
</span>This choice is wrong as we have noted in the third option that Emily has a larger fraction.
Based on the above:
The third choice is the correct one.
Hope this helps :)
Answer:What is the value of x?
27(x+4)=−6
−35
−25
25
35
