The slope is the coefficient of x, which is 10, and the y-intercept is the constant, which is 5.
To get 1/10 -> 1000/10 =100
and 1% of 100 -> 100/100 = 1 or 1%
100 for question 1
1 for q2
The equation of line parallel to given line is: y=4x-31
Step-by-step explanation:
Given equation of line is:
The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.
Let m1 be the slope of the given line
then
m1 = 4
Let m2 be the line that is parallel to given line
As we know that the slopes of parallel lines is equal so
m1=m2 = 4
The slope-intercept form of equation of line is:
Putting the value of slope
to find the value of b, putting (5,-11) in the equation
Putting the value of b
Hence,
The equation of line parallel to given line is: y=4x-31
Keywords: Equation of line, slope
<span>part A:
Let
t = total the liquid in the bottle including lemon juice and water
so t = lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1
part B:
from part A, you have equation t = 0.6t +1
solve for t
t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5
2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
