I believe by the first equation they are referring two a representation of the total amount of money made up by the two types of coins. I found this to be 0.05x + 0.10y = 3.50
In my work I solved for the amount of each coin- I assume this is what the final step of your problem entails. If you need any help understanding/ I misinterpreted something please feel free to comment and ask :)
#5c coins or x= 36
#10c coins or y= 17
Let x be the number.
Then;
6x-18=-42 (solve for x now)
6x=-42+18
6x=-24
x=-4
Therefore, this number would be -4.
Hope I helped :)
Answer:
Slope = 
Step-by-step explanation:
We know that:
X₁ = -3
Y₁ = 5
X₂ = 11
Y₂ = 2
And the formula of the slope is:
Slope = 
Therefore:
Slope = 
<u>Slope = </u><u />
Hope this helps!
Answer:
28.26
Step-by-step explanation:
Area of a circle is pi * radius squared
The diameter is 6, so the radius is 3
pi * 3^2 = 3.14 * 9 = 28.26
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
