Answer: 15
Step-by-step explanation:
Given: The present ratio of students to teachers at a certain school is to . If the student enrollment were to increase by students and the number of teachers were to increase by , the ratio of students to teachers would then be to .
To Find: What is the present number of teachers.
Solution:
let the number of teachers in schools are
As the current ratio of students to teachers is to
Number of students in school are
Now,
If number of student enrollment and teachers were to increase by and respectively.
New number of students in school would be
New number of teacher in school would be
new ratio of students to teachers is
Hence the number of teachers in school is
Answer:
(x, y) = (8, 6)
Step-by-step explanation:
given the 2 equations
2x - y = 10 → (1)
2x - 2y = 4 → (2)
rearrange equation (1) expressing y in terms of x
y = 2x - 10 → (3)
Substitute y = 2x - 10 in equation (2)
2x - 2(2x - 10) = 4
2x - 4x + 20 = 4
- 2x + 20 = 4 ( subtract 20 from both sides )
- 2x = - 16 ( divide both sides by - 2 )
x = 8
substitute x = 8 in equation (3)
y = (2 × 8) - 10 = 16 - 10 = 6
solution is (8 , 6)
Answer:
0.5 seconds
Step-by-step explanation:
Two rockets are launched at the same time, but from different heights.
when the heights are same then y are equal. So equation both equations and solve for t
Add -16t^2 on both sides
Subtract 150 t from both sides
Divide 10 on both sides
t=0.5 seconds
Answer:
Step-by-step explanation:
Sin 61 = 47/X
(X=AB)
X = 53.73764119
The formula that models this is
Where R is the number of rabbits and t is the number of years that have passed.