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:15 times
Step-by-step explanation:
For the 3 batches it is 3 x 5/4 (5/4 is how much each batch costs)=15/4
And you must divide 15/4 by 1/4 or multiply it by 4 crossing out the denominator giving you your answer 15
The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.
<h3>How to calculate the radius?</h3>
From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.
Let A = area of the triangle
Let S = semi perimeter of the triangle.
The radius will be: = A/S
where,
The radius will be:
= 3.33cm
In conclusion, the radius is 3.33cm.
Learn more about triangles on:
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Answer:
Sum of 4 and 5 → 4 + 5 = 9
Difference of 40 and 4 → 40 – 4 = 36
One-third 1/3 of 36 → 12
→ 12 – 9
» 3
The answer for both of these would be a rectangle.
A rectangular prism has 6 faces, all of which are rectangles. Slicing the prism parallel to any of the faces, whether they are end faces or bases, will result in a rectangular cross-section.
