HELP!!! you dont have to answer all the questions at least the first one!!!
1 answer:
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Answer:
The price of collection of novels before taxes was <u>$409.10</u>.
Step-by-step explanation:
Given:
Ava bought a collection of hardcover novels and paid $450 including sales tax.
The sales tax is 10%.
Now, to find the price of collection of novels before taxes.
Let the price of collection of novels before sales tax be .
The price of collection of novels including sales tax = $450.
Rate of sales tax = 10%.
Now, to get the price before sales tax by putting an equation:
<em>Adding both sides by 0.10</em><em> we get:</em>
<em /><em />
<em>Dividing both sides by 1.10 we get:</em>
Therefore, the price of collection of novels before taxes was $409.10.
Answer:
B. y=1/3x+4
Step-by-step explanation:
Hi there!
We are given the line PQ and we want to find the line that is perpendicular to it
Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1
So first, let's find the slope of the line PQ
The point P is given as (-8, 7) and the point Q is given as (-4, -5)
The formula for the slope calculated from two points is where (
) and (
,
) are points
We have the needed information for the slope, but let's label the values of the points to avoid any confusion
x1=-8
y1=7
x2=-4
y2=-5
Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):
m=
simplify
m=
add
m=-12/4
divide
m=-3
So the slope of the line PQ is -3
As said above, perpendicular lines have slopes that have a product of -1
So to find the slope of the line perpendicular to PQ, use this formula:
-3m=-1
divide both sides by -3
m=1/3
The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.
Hope this helps!