The original price of a laptop that is 65% of the sales price is R3 1076923.07692
<h3>How to find the original price when given the percentage?</h3>
The sale price of a laptop is R3 700,00,which is only 65% of the original price.
Therefore,
let
x = original price
Hence,
700, 000 = 65% of x
700,000 = 65 / 100 of x
cross multiply
70000000 = 65x
divide both sides by 65
x = 70000000 / 65
x = 1076923.07692
Therefore, the original price of the laptop is R3 1076923.07692
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Answer:
![\huge\boxed{1.\ y=-\frac{1}{2}x+1}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B1.%5C%20%20y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B1%7D)
![\huge\boxed{2. \ y=\frac{3}{2}x}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B2.%20%5C%20y%3D%5Cfrac%7B3%7D%7B2%7Dx%7D)
Step-by-step explanation:
In order to find the equation for these graphs, we have to note what forms a line.
The slope: Which is just the rise of the line over the run - how much it increases in y over how much it increases in x.
The y-intercept: Where does the graph intersect the y-axis?
Fortunately, there's a type of formula commonly used that includes both of these - slope-intercept form. It is written in the form
, where m is the slope and b is the y-intercept.
<em>For number 1</em><em>:</em>
We can see that the graph intersects the y-axis at 1. So the y-intercept is 1, aka b = 1.
We can also see that for every 1 decrease in y, x increases by 2. <em>This is where the two dots come in useful</em>.<em> </em> This means our change in y is -1 and our change in x is 2. Since slope is rise over run, we can divide it.
![-1 \div 2 = -\frac{1}{2}](https://tex.z-dn.net/?f=-1%20%5Cdiv%202%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
Now that we know the slope and the y-intercept, we can plug these values into
.
![y=-\frac{1}{2}x+1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B1)
<em>For Number 2:</em>
Same logic applies. The graph intersects the y-axis at 0, so b = 0, aka we don't need to include that term in the end equation.
We can see that when x increases by 2, y increases by 3. Since the slope is rise over run, the slope is
.
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![y=\frac{3}{2}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7Dx)
Hope this helped!
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Answer:
45% decrease
Step-by-step explanation:
The formula for percent of decrease/ increase is
Original - change/ original
So 40 - 22 = 18
18/40 = 0.45
Turn 0.45 to percent by moving the decimal two spaces to the right
45%
You can check by multiplying the original number by the percentage. So,
40 x 0.45 = 18
The volume of a pyramid is the one-third of the product of the area of the base and the height of the pyramid.
V = (1/3)Ah
where
A = area of base
h = height of the pyramid
The base of this pyramid is a hexagon.
The area of a regular hexagon is
A = (1/2)pa,
where
p = perimeter of the base
a = apothem
The perimeter of the hexagon is 6 * 6 ft = 36 ft.
The apothem is shown in the figure and is 5.2 ft.
Area of base: (1/2)pa = (1/2)(36 ft)(5.2 ft) = 93.6 ft^2
Volume = (1/3)Ah = (1/3)(93.6 ft^2)(8 ft)
Volume = 249.6 ft^3
Answer: 250 ft^3