Answer:
1
Step-by-step explanation:
This is the concept of algebra, To get the total number of stickers Sally had in the end we proceed as follows;
Suppose the initial number of stickers was x;
When she lost 2/3 of the tickets the remaining, the number of tickets that she lost was 2/3x.
The remaining number of tickets will be:
x-2/3x=1/3x
The number of tickets she gave to Paul will be given by:
1/3x*1/4
1/12x
After her brother gave her 120 tickets, the new number of tickets was:
1/12x+120
=(x+1440)/12
The ratio of the original number to the number she ended up with is 4:3, therefore;
x/[(x+1440)/12]=4/3
x*12/[x+1140]=4/3
[12x]/[x+1440]=4/3
cross-multiplying the expression we get:
3*12x=4[x+1440]
36x=4x+5760
32x=5760
dividing both sides by 32 we get:
(32x)/32=5760/32
x=180
Therefore the initial number of tickets was 180 tickets
Answer: 8 1/4g/cm³
Step-by-step explanation:
Given the graph :
The rate of change in the mass of copper with respect to volume :
To obtain this, we find the slope or gradient of the graph:
Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)
Drawing a right angled triangle on the anybpart of the line of best fit:
y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2
(y2 - y1) / (x2 - x1)
= (40 -16) / (4.75 - 2)
= 24 / 2.75
= 2400/275
= 8.727 g/cm^3
Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³
