Answer: 13 . 99 seconds
Step-by-step explanation:
The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :
t = 2π x number of revolutions / angular velocity
Therefore :
t = 2π x 6.9 / 3.1
t = 2 x 3.142 x 6.9 / 3.1
t = 43.3596/3.1
t = 13. 98696774194
to the nearest tenth
t = 13. 99s
Answer: 
= 
Step-by-step explanation:
let the number be x , then :
six added to twice the sum of a number and four means :
one half of the difference of three and the number means :
combining the two , we have
=
-3(6x+5)-2(1-17x)=3(5+5x)
Mutiply the first bracket by -3
(-3)(6x)= -18x
(-3)(5)= -15
Mutiply the second bracket by -2
(-2)(1)= -2
(-2)(-17x)= 34x
Mutiply the third bracket by 3
(3)(5)= 15
(3)(5x)= 15x
-18x-15-2+34x= 15+15x
-18x+34x-15-2= 15+15x
16x-17= 15+15x
move 15 to the other side
sign changes from +15 to -15
16x-17-15= 15-15+15x
16x-32= 15x
move -32 to the other side
sign changes from -32 to +32
16x-32+32=15x+32
16x= 15x+32
move 15x to the other side
sign changes from +15x to -15x
16x-15x=15x-15x+32
x= 32
Answer: x= 32
