Answer:
<em>The man paid $200 for the cow</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = price of the cow
y = price of the horse
The man bought the cow and the horse for $500, thus
x + y = 500 [1]
The cow was sold at a profit of 10%, thus:
Sale price of the cow= 1.1x
The horse was sold at a loss of 10%, thus:
Sale price of the horse= 0.9y
The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:
1.1x + 0.9y = 490 [2]
From [1]:
y = 500 - x
Substituting in [2]:
1.1x + 0.9(500 - x) = 490
Operating:
1.1x + 450 - 0.9x = 490
0.2x = 490 - 450 = 40
x = 40/0.2
x = 200
The man paid $200 for the cow
Answer:
1,280
The dimensions are 5 by 4
Step-by-step explanation:
You multiply 20 and 16 then, divide 0.25 then you get 1,280
Answer:
![y=\frac{25}{1}x+75](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B25%7D%7B1%7Dx%2B75)
The beginning balance of Sophie's account is 75
Step-by-step explanation:
Using the slope intercept form aka ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
The slope of a line describes how steep a line is.
- We can see that the y-axis goes up by 25.
- 25, 50, 75, 100, 125, 150 etc
<u>$ is how much you have in your bank account.</u>
<em>We can see that Sophie starts off with 75 dollars.</em>
In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.
<h3>how to find the slope</h3>
![slope formula\\m=\frac{rise(y)}{run(x)}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=slope%20formula%5C%5Cm%3D%5Cfrac%7Brise%28y%29%7D%7Brun%28x%29%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
The first week (1, 100)
The second week (2,125)
![(x_{1}, y_{1})= 1, 100\\(x_{2}, y_{2})= 2, 125\\m=\frac{125-100}{2-1}=\frac{25}{1} \\Up 25 (aka, 1 line), over 1(aka 2 lines)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2C%20y_%7B1%7D%29%3D%201%2C%20100%5C%5C%28x_%7B2%7D%2C%20y_%7B2%7D%29%3D%202%2C%20125%5C%5Cm%3D%5Cfrac%7B125-100%7D%7B2-1%7D%3D%5Cfrac%7B25%7D%7B1%7D%20%20%20%20%5C%5CUp%2025%20%28aka%2C%201%20line%29%2C%20over%201%28aka%202%20lines%29)
<em></em>
Area is 804.25 if the radius is 16cm
Answer:
x+3y=-1
Step-by-step explanation:
y=3x-2 so m=3 old slope
the new slope must be -1/3 (opposite reciprocal of the old slope).
y-y0=m*(x-x0)
y-2=-1/3*(x-(-7))
y-2=-1/3x-1/3*7
y-2=-1/3x-7/3
3y-6=-x-7
The standard form for linear equations in two variables is Ax+By=C.
x+3y=6-7
x+3y=-1