Answer:
p = 
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q =
(d) Now substitute the value of q = into equation (i) as follows;
2p - 3() = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p =
Therefore, p = and q =
42
Step-by-step explanation:
Step 1 :
Given data set - 14,18,20,21,25,32,40,44,48
We need to get the 3rd quartile
Step 2 :
To find the quartile's , we have to divide the data set into 4 equal quarters.
The 3rd cut will give the 3rd quartile
Step 3:
The median of this data set is at 25, there are 4 numbers below and above it.
Now we take the 2nd half of the set , after the median and take the median of it.
There are 4 numbers in the 2nd half 32,40,44,48. Cutting this into 2 , we have the cut to fall between 40 and 44. Hence taking the average of this will give the 3rd quartile.
The average of 40 and 44 is 42 .
Hence the 3rd quartile is 42.
The circumference of a circle of given diameter d is pi*d.
Thus, if the diameter is d = 6 cm, the circumference of the circle is (6 cm)*pi.
It’s B because it’s the right answer
I think it is D
If im right can you give me brainliest
