Answer:
140
Step-by-step explanation:
because 2 cups of flour turned to 20 cups is to 14 cups of sugar to 140 cups
so the ratio goes from 2: 14 to 20: 140
Answer:
m₁×m₂ = -1
m₁ = 3 and m₂ = -1/3
3×-1/3 = -1
-1 = -1
Hence proved, the given two lines are perpendicular.
Step-by-step explanation:
You can prove that the two lines are perpendicular if the following condition holds true.
m₁×m₂ = -1
Where m₁ is the slope of line 1 and m₂ is slope of line 2
So first you have to find out the slope of each line.
You are given 2 equations
y = 3x + 5 eq. 1
6y + 2x = 1 eq. 2
You have to write these equations in slope-intercept form to find out their slopes.
The slope-intercept form is given by
y = mx + b
Comparing the general form with eq. 1
y = 3x + 5
We notice that the slope is m₁ = 3
Now convert the eq. 2 into slope-intercept form
6y + 2x = 1 eq. 2
6y = -2x + 1
y = (-2x + 1)/6
y = -1/3x + 1/6 eq. 2
Comparing the general form with eq. 2
y = -1/3x + 1/6
We notice that the slope is m₂ = -1/3
Now we have slopes of both lines so let us test whether they are perpendicular or not
m₁×m₂ = -1
m₁ = 3 and m₂ = -1/3
3×-1/3 = -1
-1 = -1
Hence proved, the given two lines are perpendicular.
Percent formula : is/of = % / 100
what percent of 21.5 is 55.04...
% = x....because this is what we r looking for
is = 55.04
of = 21.5
now we sub into the formula
55.04 / 21.5 = x / 100
cross multiply because this is a proportion
(21.5)(x) = (100)(55.04)
21.5x = 5504
x = 5504 / 21.5
x = 256 <== so ur answer is 256%
6x + 3 = 3 + 6x
0 = 0
many solutions
answer
infinitely many
Linear Production is defined as a mathematical operation where future values of a discrete-<span>time signal are estimated as a </span>linear<span> function of previous samples.</span><span>
The term in a linear prediction rule that represents the intercept of a regression line is:
a= y intercept = regression constant
b = slope = regression coefficient</span>
