Answer: 6 1/8
Step-by-step explanation:
1/8 x 2 = 1/8 x 2/1 = 2/8 = 1/4
1/4 x 3 = 1/4 x 3/1 = 3/4
3/8 x 4 = 3/8 x 4/1 = 12/8 = 1 4/8 = 1 1/2
1/2 x 3 = 1/2 x 3/1 = 3/2 = 1 1/2
5/8 x 1 = 5/8 x 1/1 = 5/8
3/4 x 2 = 3/4 x 2/1 = 6/4 = 1 2/4 = 1 1/2
Start with the big number first.
1 1/2 = 1 4/8
1 1/2 = 1 4/8
1 1/2 = 1 4/8
5/8 = 5/8
3/4 = 6/8
1/4 = 2/8
Add them all up.
1 4/8 + 1 4/8 = 2 8/8 = 3
3 + 1 4/8 = 4 4/8
4 4/8 + 5/8 = 4 9/8 = 5 1/8
5 1/8 + 6/8 = 5 7/8
5 7/8 + 2/8 = 5 9/8 = 6 1/8
Answer:
-3/2
(2x-14)/3
(-2,-6)
Step-by-step explanation:
I solved the first one for you already ( -3/2)
To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative reciprical (take the fraction, flip it, and apply a negative sign to it)
If you do this to -3/2 you get 2/3
If we follow our y=mx+b equation from before we (so far) have
2/3x+b=y
which means that we just need to solve for b
We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b
we have
(2/3)*7+b=0
Solve for B
14/3+b=0
b= -14/3
Which means our equation looks like this
(2x-14)/3
our two equations look like this
(-3/2)x-9
(2x-14)/3
We need to find where their coordinates are the same (where they intersect)
We can do this by setting them equal to each other and then solving for x
we have
(-3/2)x-9=(2x-14)/3
solve for x
-4.5x-27=2x-14
-13= 6.5x
x= -2
Now that we know what x equals we can plug this into any of our two beginning equations
(-3/2)*-2-9=y
3-9=y
-6=y
Which means our coordinates are (-2,-6)
if you have any questions let me know
Answer:
Slope is -2/7
Step-by-step explanation:
Slope formula is y₂-y₁/x₂-x₁
So...
(x₁,y₁) and (x₂,x₂) →(2,2) and (-5,4)
4-2= 2
-5-2= -7
2/-7
Answer:
p = -0.05m + 22
Step-by-step explanation:
As given in question,
The relation between the price and demand can be given by,
where is p is price and x is demand.
Since in order to sell 300 cards the price has to be fix at $7.
So,
7 = 300m+b <u> </u> (1)
And for every additional card they need to drop the price by $0.05.
So,
7-0.05 = 301m+b
=>6.95 = 301m + b<u> </u> (2)
Subtracting equation (1) from equation (2), we will have
6.95 - 7 = 301m - 300m
=>m = -0.05
By putting the value of m in equation (1), we get
7 = 300.(-0.05)+b
=> b = 22
So, the linear equation that show the relation between price and demand is given by
p = -0.05m + 22
