all students = 150
M = 60
S = 45
M and S = 25
(a) At least one of the two requirements:
M or S = M + S - (M and S) = 60 + 45 - 25 = 80
(b) Exactly one of the two requirements:
(M or S) - (M and S) = 80 - 25 = 55
(c) Neither requirement:
(all students) - (M or S) = 150 - 80 = 70
9514 1404 393
Answer:
$35/2
Step-by-step explanation:
Division by 2 is indicated by putting 2 in the denominator of the fraction:
35/2
Every triangles 3 angles will always add up to 180 degrees
The reason this is true in your problem is because of the corresponding angles and supplementary angles.
Hope this helps
Answer:
Part 3) Miguel scored 29 points and Alonzo scored 25 points
Part 4) Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years
Step-by-step explanation:
Part 3) Let
x ----> the number of points that Miguel scored
y ---> the number of points that Alonzo scored
we know that
----> equation A
----> equation B
substitute equation B in equation A and solve for y
![(y+4)+y=54\\2y=54-4\\2y=50\\y=25](https://tex.z-dn.net/?f=%28y%2B4%29%2By%3D54%5C%5C2y%3D54-4%5C%5C2y%3D50%5C%5Cy%3D25)
Find the value of x
![x=25+4=29](https://tex.z-dn.net/?f=x%3D25%2B4%3D29)
the solution is the point (29,25)
That means ----> Miguel scored 29 points and Alonzo scored 25 points
Part 4) Let
x ----> Morgan's age
y ---> Mr Santos' age
we know that
-----> equation A
----> equation B
substitute equation B in equation A and solve for y
![(y-15)+y=44\\2y=44+15\\2y=59\\y=29.5](https://tex.z-dn.net/?f=%28y-15%29%2By%3D44%5C%5C2y%3D44%2B15%5C%5C2y%3D59%5C%5Cy%3D29.5)
Find the value of x
![x=29.5-15=14.5](https://tex.z-dn.net/?f=x%3D29.5-15%3D14.5)
the solution is the point (14.5,29.5)
That means ----> Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years