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 = 
Answer:
51.9
8.9
78.5
8.8
Explanation:
You round up if the number to the right is 5 or greater.
So, apply this to the numbers and the 8 in A rounds up, going to a 51.9.
The 9 does not round up because of the one.
The 5 also does not round up because of the 2.
The 7 does round up because of the 6.
Answer:13
Step-by-step explanation:
13 burger each person should get 13
Answer:
a(n)=1+(n-1)(-3)
Step-by-step explanation:
Notice there's a common difference of d=-3.
If we use the formula a(n)=a1+(n-1)d to find the nth term given the first term and the common difference, we will see that the function that describes the arithmetic sequence as a(n)=1+(n-1)(-3)
Answer:
144
Step-by-step explanation:
8x12 = 96 and 4x12= 48 and 96+48= 144