Answer:
21.42857143 = n
Step-by-step explanation:
Is means equals and of means multiply
12 = 56% *n
Change the percent to a decimal
12 = .56*n
Divide by .56
12/.56 = .56n/.56
21.42857143 = n
Answer:
The ratio is 9:6 or 3:2 simplified.
Step-by-step explanation:
a ratio is just of many of one thing there are the the quantity of another thing. In this case, there are 9 chocolate pieces to every 6 sugar pieces. This can be written as the fraction 
and can be simplified to 
So that there are 3 chocolate pieces to every 2 sugar pieces.
Answer:
Up and to the left.
Step-by-step explanation:
I checked it on desmos graphing calculator
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
-k-5k=-5k-4
Combine -5k and -k = -6k
-6k=-5k-4
add 5k to -6k which equals -1k
divide -1 by -4
answer k=4
