The opposite of 4x is -4x and the opposite of -5+4x is 5+-4x
Answer:
3:5
Step-by-step explanation:
Divide both numbers by 2
Keep dividing by 2 until you can't anymore.
12/2=6
20/2=10
6/2=3
10/2=5
Answer:
(a) θ = π + 4πn
(b) θ = π
Step-by-step explanation:
(a) sin(θ/2) − 1 = 0
sin(θ/2) = 1
θ/2 = π/2 + 2πn
θ = π + 4πn
(b) Try different values of n.
n = -1, θ = -3π
n = 0, θ = π
n = 1, θ = 5π
If 0 < θ < 2π, then θ = π.
Answer:
£850
Step-by-step explanation:
We can compute the left-over amount by comparing that to the amount spent.
__
<h3>setup</h3>
Written as ratios, we have ...
spent : left-over = 3/8 : 1 -3/8 = 3/8 : 5/8 = 3 : 5
Writing this using fractions, we have ...
left-over / spent = 5 / 3
<h3>solution</h3>
Solving for left-over gives ...
left-over = spent × (5/3) = £510×5/3 = £850
Nate had £850 left over.
_____
<em>Additional comment</em>
Nate's money totaled £510 +850 = £1360.
The fraction spent is £510/£1360 = 3/8, as required.
