Answer:
22
Step-by-step explanation:
Answer:
8.50 cm²
Step-by-step explanation:
The dimension of each square is given as 0.5cm by 0.5cm
The area of the a square is, a²
Where, a = side length
Area of each square = 0.5² = 0.25cm
The number of blue colored squares = 34
The total area of the blue colored squares is :
34 * 0.25 = 8.50cm²
Answer:
F(n) = 2n – 2
Step-by-step explanation:
The sequence 0, 2, 4, 6
First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)
This is illustrated:
Let us calculate the common difference (d)
Common difference (d) = 2nd term – first term
Common difference (d) = 3rd term – 2nd term
=> 2 – 0 = 2
=> 4 – 2 = 2
The common difference (d) = 2.
Common ratio (r) = 2nd term /1st term
Common ratio (r) = 3rd term /2nd term
=> 2/0 = undefined
=> 4/2 = 2
There is no common ratio.
Since we have a common difference, therefore the sequence is arithmetic progression.
Now, let us obtain an expression for the sequence.
This can be obtained by using the arithmetic progression formula as shown below:
F(n) = a + (n – 1)d
a is the first term
n is the number of term
d is the common difference.
The sequence 0, 2, 4, 6
The first term (a) = 0
Common difference (d) = 2
F(n) = a + (n – 1)d
F(n) = 0 + (n – 1)2
F(n) = 2n – 2
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
If we want to get B by itself, we need to "undo" every operation being done to it. Those operations are (in order):
- Multiplication by A
- Addition with 3C
To undo these then, we'll need to:
And, since this is an equation, we'll need to do both of those to the right side as well to keep everything equal. Here we go:
AB + 3C - 3C = D - 3C (subtracting 3C)
AB/A = (D - 3C)/A (dividing by A)
B = (D - 3C)/A
And we're done! If you'd like to see it formatted a little nicer, here's this:
