The answer for question 4:
a) 3(3n-1)=9n-3
b) 9n-3=96
9n=96+3
9n=99
n=11
Given that B is a point between point A and C, the numerical value of x is -5.
<h3>What is the numerical value of x?</h3>
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given the data in the question;
- B is a point between point A and C
- Segment AC = 14
- Segment AB = x + 12
- Segment BC = x + 12
- Numerical value of x = ?
Since B is a point between point A and C.
Segment AC = Segment AB + Segment BC
Plug in the given values and solve for the value of x
Segment AC = Segment AB + Segment BC
14 = (x + 12) + (x + 12)
14 = x + 12 + x + 12
14 = 2x + 24
2x = 14 - 24
2x = -10
x = -10/2
x = -5
Given that B is a point between point A and C, the numerical value of x is -5.
Learn more about equations here: brainly.com/question/9236233
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Answer:
The capacity of water in the tank is 300 litres
Step-by-step explanation:
Let the unknown capacity be x
4/5 of x-190 litres = 1/6 of x
4x/5-190 litres = x/6
Cross x/6 and 190 litres over the equation sign
4x/5-x/6 = 190 litres
The LCM is 30
(24x-5x)/30 = 190 litres
19x/30 = 190 litres
Cross multiply
190 litres*30 = 19x
5700 litres= 19x
Divide through by 19
x = 300 litres
D I think hope this helps
If we call the number x, we can write an equation:
x + 12 = 3x - 32
and now we can solve
- x
12 = 2x - 32
+ 32
44 = 2x
÷ 2
22 = x
So your answer is 22, I hope this helps!