60 minutes per hour
1 1/2 hours = 60 x 1.5 = 90 minutes
90-25 = 65 minutes more
Nick = n
Ray = r
n=3r-30
n+r=74
3r-30+r=74
4r-30=74
4r=104
r=26
n=26*3-30
n=78-30
n=48
Nick is 48 years old and Ray is 26 years old
Hope this helps.
Answer:
x =7
Step-by-step explanation:
Solve for x:
5 x - 10 + 65 = 90
Add like terms. 65 - 10 = 55:
5 x + 55 = 90
Subtract 55 from both sides:
5 x + (55 - 55) = 90 - 55
55 - 55 = 0:
5 x = 90 - 55
90 - 55 = 35:
5 x = 35
Divide both sides of 5 x = 35 by 5:
(5 x)/5 = 35/5
5/5 = 1:
x = 35/5
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
Answer: x = 7
Answer:
the number of revolutions of the rotor required to turn the probe through 44.1° about its central axis is approximately 117 revolution.
Step-by-step explanation:
From the conservation of angular momentum of the motor
Ip× theta p = Im × theta m
Where IP = 6.84 is the rotational inertia of the probe along it central axis
Theta p= 44.1°, Im = 7.17 ×10^-3 is the rotational inertia of the electric motor about it central axis.
Ip× theta p = Im × theta m
6.84 × 44.1 = 0.00717 × theta m
301.644 = 0.00717 × theta m
Theta m= 301.644 /0.00717
= 42,070.3°
Number of revolution =42,070.3°/360
= 117 revolution
