Answer:
44
Step-by-step explanation:
the steps are in the pic above
So,
We'll just use A to represent both Jan and Mya's miles, since they ran the same number.
We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8
We'll just use A to represent both J and M.
S = M - 8
We'll use Elimination by Substitution.
2A + A - 8 = 64
Collect Like Terms
3A - 8 = 64
Add 8 to both sides
3A = 72
Divide both sides by 3
A = 24
Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24
Substitute
S = 24 - 8
S = 16
Check
24 + 24 + 16 = 64
64 = 64 This checks.
So,
J = 24
M = 24
S = 16
80 ...........................
Answer:
r = 1/6
Step-by-step explanation:
![\dfrac{3}{4}r=\dfrac{1}{8}\\\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7Dr%3D%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C%5C%5C)
Multiply both sides by 4
![4*\dfrac{3}{4}r=4*\dfrac{1}{8}\\\\3r = \dfrac{1}{2}](https://tex.z-dn.net/?f=4%2A%5Cdfrac%7B3%7D%7B4%7Dr%3D4%2A%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C3r%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
Divide both sides by 3
![\dfrac{3}{3}r=\dfrac{1}{2*3}\\\\r = \dfrac{1}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B3%7Dr%3D%5Cdfrac%7B1%7D%7B2%2A3%7D%5C%5C%5C%5Cr%20%3D%20%5Cdfrac%7B1%7D%7B6%7D)
Answer:
The central angle for the cheese sector would be 108 degrees.
Step-by-step explanation:
We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.
Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.
30 of 100 students voted for cheese:
so the ratio would be 30/100 or 3/10
Now apply that to the total angle measure:
3/10*360 degrees= 108 degrees.