Answer:56/x
Step-by-step explanation:
that is the answer
Answer: There are 15 boards that she can make from a 5 ft board.
Step-by-step explanation:
Since we have given that
Length of a board = 5 ft
Length of board she can make from the above board is given by

We need to find the number of boards she can make from a 5 ft board.
According to question,

Hence, there are 15 boards that she can make from a 5 ft board.
Answer:
a) 18 students per teacher
b) 9 students per tutor
c) 7 tutors
Step-by-step explanation:
An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students.
a) How many students does the academy have per teacher?
6 teachers = 108 students
1 teacher = x
Cross Multiply.
6x = 108
x = 108/6
x = 18 students per teacher
b) Per tutor?
5 tutor = 45 students
1 tutor = x
Cross Multiply
5x = 45
x = 45/5
x = 9 students
= 9 students per tutor
c) How many tutors does the academy need if it has 63 students?
45 students = 5 tutors
63 students = x
Cross Multiply
45x = 63 × 5
x = 63 × 5/45
x = 7 tutors
The horizontal compression of a graph means that the graph has come closer to the y-axis. Horizontal stretching and compression occur when a factor is multiplied to the original equation. If the factor being multiplied is greater than 1, then the graph is compressed. If the factor being multiplied is less than 1, the graph is stretched. Therefore, in this case, a number greater than 1 must be multiplied to -x + 5.
The answer is B. F(x) = -2(x-5)