2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5
Answer:
1/5 * 120 = 24 peanut
1/3 * 120 = 40 chocolate chips
3/10 * 120 = 36 coconut
There are 20 left
Unless there are other toppings not mentioned,
those last 20 must have sprinkles
Step-by-step explanation:
First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
The painter painted 11 apartments because 4 doesn’t go into 45, so the closest think to 45 is 4 x 11 (44). the painter will have 1 gallon left.
