Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - a)² + (y - b)² = r²
where (a, b) are the coordinates of the centre and r is the radius
(x - 8)² + (y + 6)² = 13 is in this form
with centre = (8, - 6) and r = 
If it takes 10 machines 10 minutes to make 10 items, I would assume it would take 50 machines 50 minutes to make 50 items. Hope this helps :)
Answer:
The number of nickels is 45 and the number of dimes is 72.
Step-by-step explanation:
Let
x ----> number of nickels
y ----> number of dimes
Remember that


so
------> equation A

------> equation B
<em>Solve the system by substitution</em>
we have
------> equation A
------> equation B
Multiply both equations by 100 both sides
---->
--> equation C
----> equation D
substitute equation C in equation D

solve for y




Find the value of x




<em>Alternative Method</em>
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (45,72)
therefore
The number of nickels is 45 and the number of dimes is 72.
Answer: She added 7x and 3y
Step-by-step explanation: The final answer should be 7x + 3y, not 10xy.
Answer:
Step-by-step explanation:
Ok so to find constant of proportionality, you need to find K.
X would be gallons and y is cost.
To find k you need to do k=y/x
k=17.50/5
k=3.5
That's the first one. Now you need to make sure its <em>constant</em> with each one so keep going.
k=35/10
k=3.5
k=52.50/15
k=3.5
For all of those 3.5 was constant.
Because they are constant, that means the data in the graph is a proportion.
An example of an unproportional relationship would be if instead of 15 in the last column, it was 16.
k=52.50/16
k=3.28
That be different from the other 3.5's meaning its not proportional. But that's just an example.
If you need extra help reach out to me and I'll help you best I can. I hope this helps though. <3