Answer:

Step-by-step explanation:
Given
When mass = 4kg; Acceleration = 15m/s²
Required
Determine the acceleration when mass = 10kg, provided force is constant;
Represent mass with m and acceleration with a
The question says there's an inverse variation between acceleration and mass; This is represented as thus;

Convert variation to equality
; Where F is the constant of variation (Force)
Make F the subject of formula;

When mass = 4kg; Acceleration = 15m/s²


When mass = 10kg; Substitute 60 for Force



Divide both sides by 10


<em>Hence, the acceleration is </em>
<em />
If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.
The multiplier for increasing by 25% is:
(100 + 25) ÷ 100 = 1.25
So on day one, there are 64 responses. That means on day two, there will be:
---> 64 x 1.25 = 80 responses
On day 3, there will be:
---> 80 x 1.25 = 100 responses
Finally, on <u>day 4</u>, there will be:
---> 100 x 1.25 = 125 responses
A quicker way of getting this would be to do:
64 x 1.25³ since you are multiplying by 1.25 3 times
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Answer:
125 responses
Answer:
x=m+12g
Step-by-step explanation:
m=-12g+x
making x subject of formula, we have,
x=m+12g
Answer:
15.874507866388
Step-by-step explanation:
Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x