Answer: 83 over 20
Step-by-step explanation:
.15 = 15 over 100 = 3 over 20
1 = 20 over 20
The 4 = 80 over 20
80 over 20 + 3 over 20 = 83 over 20
Answer: The relation is not a function
Step-by-step explanation: Since x= 15 produces y =3 and y=4 the relation (5,1) (10,2) (15,3,)(15,4) is not a function.
We know that
The triangular inequality establishes that:
<span><span>The </span><span>sum of the lengths of </span>any two sides of a triangle is greater than the third
side
therefore
if
a=3/4 in----> 0.75 in
b=3 in
c= third side of triangle
(a+b) > c
(3+0.75) > c
3.75 > c--------> c < 3.75 in
so
the answer is
<span>the length in inches of the third side of the triangle must be minor a 3.75 in</span></span>
Average (mean) = (sum of all the data) / (# of data)
sum of all the data = (average)(# of data)
Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300
and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500
Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %
Now if there are x # of advanced students and y # of regular students, then
x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)
The second equation can be simplified to x - 2y = 0
Subtracting the two equations yields
x = 60 and y = 90
Therefore you would need 60 advanced and 30 regular students.
Answer:
9 years ( approximately)
Step-by-step explanation:
900(1.03)^t = 1200
(1.03)^t= 1.33
( 1.03)^t= ( 1.03)^9
So, t= 9