Answer:

Step-by-step explanation:
To find a line perpendicular to 2x - 5y = 20, we need to find the slope of the line. To get the slope, we can solve for y, and get the equation in the form of y=mx + b
So I will solve for y:

So we know the slope is 2/5
The slope of a perpendicular line is the oposite reciprocal of original line. So the oposite reciprocal of 2/5 is -5/2. That will be our new slope
Now that we know the slope we can use the point slope formula to find an equation, then solve for y.
y-y₁=m(x-x₁)
y-4 = -5/2(x+ 1/2))
y= -5/2x + 11/4
Problem 1
The largest value would be 1 and the smallest would be
-1.
To get a product of 1, either all are 1 or two of the
variables are -1 and the other one is 1.
Largest value = (1)^2 * (1)^3 * (1)^4 =1
Smallest value = (- 1)^2 * (- 1)^3 * (1)^4 = -1
The difference is:
largest value – smallest value = 1 – (-1) = 2
<span>Therefore the answer is letter D.</span>
Problem 2
% loss = (final price – initial price) * 100%/ initial
price
where, final price per dozen = ( $2.50 / piece) (12 piece
/ dozen) = $30
Therefore,
% loss = ($30 - $33) * 100 / $33
% loss = - 300/ 33 = 9 1/11
<span>Therefore the answer is <span>letter C.</span></span>
Answer:
There is no solution to this.
Answer:
We have 8 liters of 54% alcohol.
We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.
54 * 8 + 66 x = 65 (8 + x)
432 + 66x = 520 + 65x
x = 88 liters
Step-by-step explanation: