In this question , it is given that p represents cost of 1 container of popcorn . Therefore cost of 5 containers of popcorn = 5p and cost of 3 containers of popcorn = 3p .
And g represents cost of 1 container of granola bars. THerefore cost of 4 containers of granola bars = 4g and cost of 6 containers of granola bars = 6g .
According to the given question, the required linear equations are
5p+4g=42.50 , 3p+6g =34.50 .
And these are the the required system of linear equation .
Answer:
1833 fans per hour
Step-by-step explanation:
Ingress is entering and Egress is exiting.
Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.
Thus,
Ingress Rate = 5500/3 = 1833.33
Rounding to whole number, we have 1833 fans per hour
Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.
f(x) = 40(.85)^x
x y
1 34
2 28.9
3 24.57
4 20.88
5 17.75
<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
1) Set up an equation to model the situation.
cos(Ф) = x/10
2) Take the derivative/gradient in terms of time (t) to find the related rates.
d[cos(Ф)]/dt = d[x/10]/dt
-sin(Ф)*dФ/dt = (1/10)*dx/dt
dФ/dt = -(dx/dt)/(10*sin(Ф))
3) Substitute in the constants for the moment in time
Given: dx/dt = 0.6; x=6 -> Ф = cos-1(6/10) = ~0.93rad
Therefore: dФ/dt = -3/40 rad/sec
First, we find the distance between the two points. The equation is
d = √[(x1 - x2)² + (y1 - y2)²]
d = √[(-2 - 4)² + (-3 - 1)²]
d = 52
In a right triangle, the legs are the hypotenuse, the shorter and the longer side. The hypotenuse is the longest side, so this must be 62 units. So, she found the length of the longer side, which is 52 units.
