There r 2 ways to do this....percent to decimal
(1) u can divide by 100.....289/100 = 2.89
(2) u can move the decimal 2 spaces to the left....2.89
just so u know ... decimal to percent
(1) multiply by 100
(2) move decimal 2 spaces to right
Answer:
Step-by-step explanation:
Vertical lines take the form of 
and horizontal lines take the form of 
Why is this? Notice that whenever you make a horizontal line on a graph and select virtually any point that's on that line, all of the points you pick will have the same y value. Try to imagine the same thing with a vertical line, are the results the same?
So the line (we got -12 from the coordinate that was given to us on the question prompt) is a vertical line that passes through virtually all possible y values (from positive infinity to negative infinity, or vice-versa) which means that the question prompt having given us the y value was negligible.
Good luck!
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
Answer:
a) Option A is correct.
b) Option C is correct.
Step-by-step explanation:
a) Which of the following is the equation of the line passing through the points (1, 1) and (-3,5)?
We will use the equation
(y-y₁)=m(x-x₁)
m= (y₂-y₁)/(x₂-x₁)
m= (5-1)/(-3-1)
m= 4/-4
m= -1
Consider point (1,1) and Putting value of m
(y-y₁)=m(x-x₁)
(y-1)=1(x-1)
y-1=x-1
y=x-1+1
y=x
So, Option A is correct.
b) Which of the following is the equation of a line with a slope of 0 passing through (2,5)?
The formula used is:
y= mx+b
Finding b:
5=0(2)+b
=> b = 5
So, equation is:
y = mx+b
y=0x+5
y=5
So, Option C is correct.
y - y1 = m(x - x1)
Plug in:
Slope = m = 4
Point = (x1,y1) ----> (-3,7)
y - 7 = 4(x - -3) //Solve for y
y - 7 = 4(x + 3) //Answer
y - 7 = 4x + 12
y = 4x + 12 + 7
y = 4x + 19
Answer: B
//Hope it helps
