We want to translate the given statement into an algebraic expression.
The expression is:
d = 0.45*L
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When we have a discount of an X% on a given value V, that discount will be:
D = (X%/100%)*V.
Here we have:
<em>"A </em><em>discount</em><em> of a 45% on the list price L"</em>
The discount will be given by:
d = (45%/100%)*L = 0.45*L
d = 0.45*L
This is the expression we wanted to get.
If you want to learn more, you can read:
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Answer: y = -(9/5)x - 1
Step-by-step explanation:
Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]
A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:
y = -(9/5)x + b
We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.
8 = -(9/5)*(-5) + b
8 = (9) + b
b = -1
The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is
y = -(9/5)x - 1
We must multiply and divide before adding and subtracting here. Working from left to right, we get:
8 + 15 - 5 = ?
8 + 10 = ?
18 (answer)
Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts
Part 2: 20 * 2 = 40
They will make $40.00
