There is a 1 in 11 chance of both marbles being blue
Answer: £516
Step-by-step explanation:
7.5 increase = 100 + 7.5 = 107.5
107.5/100 = 1.075 (multiplier)
480 x 1.075 = 516
At the end of the 6 months the balance would be 360.54
Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to

we have

substitute

step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have

The new area is

The expanded form of the expression is
Apply distributive property

Answer:
2y = x + 2
Step-by-step explanation:
Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;
From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

Joining the points gives a straight line, which means a constant gradient of ¹/₂
Use the line equation formula to get the function:
y - y₁ = m(x - x₁)
m = ¹/₂
x₁ = 0
y₁ = 1
y - 1 = ¹/₂.(x - 0)
y - 1 = ¹/₂.x
2y - 2 = x
2y = x + 2