The answer is a.0
Concentric means these circles would have the same center, thus, the smaller circle must be inside the bigger circle. Any tangent line to the smaller circle wont be a tangent line to the bigger circle, since that tangent line would intersect at the bigger circle at 2 points. Any tangent line to the big circle will not touch the small circle... so the answer would be 0.
Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90
You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90
Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P
Hope this helps!
Answer:
11 L of 20% juice and 4 L of 5% juice
Step-by-step explanation:
Let
x L = amount of 20% juice
y L = amount of 5% juice
<u>20% juice:</u>
Amount = x L
Amount of juice 
L
<u>5% juice:</u>
Amount = y L
Amount of juice 
L
<u>16% juice:</u>
Amount = 15 L
Amount of juice 
L
We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so
and
From the first equation:
Substitute it into the second equation:
Answer:
135
Step-by-step explanation:
My method 45 hours - 1 so i could divide by 2 because its 2 hours every 6 problems and 1 hour would be 3 math problems we can add that to the total
44 / 2 = 22, 22 * 6 = 132, 132 + 3 = 135
Alternate method
45 * 3 = 135
Answer:
x=27
∠JLK=2x+1=2(27)+1=55
Step-by-step explanation:
∠A+∠K=180
3x+13+∠K=180
∠K=167-3x
∠K+∠L+∠J=180
167-3x+39+2x+1=180
207-x=180
x=27
∠JLK=2x+1=2(27)+1=55
Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.
