I=k/d^2
4=k/d^2 and 1=k/64 so if we divide the first by the second we get:
4/1=(k/d^2)/(k/64)
4=(k/d^2)*(64/k)
4=64/d^2
d^2=64/4
d^2=16
d=4 meters
If there is one table (t=1) then 6 chairs (c=6) can be placed around the table, 2 along the length on each side and 1 at each end.
When t=2, and the tables are end to end (joined at their width) c=10, that is, 4 chairs on each side of the double table and 1 at each end. Each time a table is added c increases by 4 so we can write c=4t+2 the constant 2 being the single chair at each end. If the tables are separated then c=6t.
If x is the first of the integers then the statement is:
(x) , (x+2) , (x+4) , (x+6)
This means that the smallest is x and the largest is x + 6
so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?
Wait remember how x started as the lowest? what if x was the highest instead?
x, x-2, x-4, x-6
so:
3(x-6) + 2(x) = 293
5x = 315
x = 62.2
This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.
Answer:
The value of a is 9 and b is -8
Step-by-step explanation:
We need to find two numbers that add up or subtract off to 1.
Then we also use the same two numbers that multiply and get -72.
Let's see:-
- 9 and -8 seem like correct values.
Because 9+(-8) is 9-8 = 1
And 9(-8) is -72.
Therefore:
The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)
Answer: actual length = 45 ft
Explanation:
Scale drawn:
1/2 inch = 5ft
Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.
If the length of the drawn school bus is 4 1/2 inches. We can write:
1/2 = 5
4 1/2 = x
=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45
Therefore the actual length of the bus is 45 ft
