Answer: Mary makes $1160, Steven makes $142.50
Step-by-step explanation:
Facts
MARY
8% commision on everything she sells
She sells a car for $14,500
The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500
8% of 14,500= 0.08x14,500= 1160
Therefore, Mary makes $1,160 in commision.
STEVEN
Facts
He makes 15% in commision for the supplies he sells
He sells $950 in supplies
Money made =?
15% of 950=0.15x950=$142.50
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
Length = 42.5 cm
Step-by-step explanation:
length of rectangle = 5 + 3w
So l = 5 + 3w where w = 12.5
Equation:
L = 5 + 3(12.5)
Solving the Equation:
L = 5 + 3(12.5)
L = 5 + 36 + 1.5
L = 42.5
Length: 42.5 cm
If my answer is incorrect, pls correct me!
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-Chetan K
We did this this year and by what I can remember I belive it is 4,320 inches. I hope this helps and I hope I got it right so u don't get it wrong.
Answer:
4.6
Step-by-step explanation:
For this question, we need the opposite side and have the opposite
with that said, out of SOH, CAH, TOA it's fastest to use TOA
tan(75)=17/x
17/(tan(75))=x
x= 4.555136271
which rounds to
4.6