Answer:

Step-by-step explanation:
<u>Step 1: Make an expression</u>
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<u>Step 2: Cross Multiply</u>
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<u>Step 3: Divide both sides by 4</u>
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Answer: 
Answer:

Step-by-step explanation:
we know that
The given equation y=5 is a horizontal line (is parallel to the x-axis)
The slope of the given line is equal to zero
A perpendicular line to the given line is a vertical line (parallel to the y-axis)
so
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
The point that passes through it is (-4,-6)
therefore
The equation of the perpendicular line is

For the first part:Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:

With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:

So, her total is:

If you subtract 3 from the total, then the expression is:
For the second part:If she's paying 3 less for each shirt, then the cost of 3 shirts will become:

In the same fashion, for the two jeans:

So the expression for the total cost is:
For number three:The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
Answer:
The wire is sufficient for making a cube of volume 2197 cm³
Step-by-step explanation:
Volume of cube = L³
Volume of the cube = 2197 cm³
Length of the wire = 150 cm
Let's see if the wire is sufficient for making a cube.
Volume of the cube that could be made from the wire is:
V = (L)³
V = (150)³
V = 3,375,000 cm³
So,
The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.
That is why, the wire is sufficient for making a cube of volume 2197 cm³.
Answer:
Step-by-step explanation:
The work done changes the potential energy
ΔPE = mgΔh = 450(10)(50) = 225,000 = 225 kJ
power is the rate of doing work
P = 225000/5 = 45000 W = 45 kW