Answer:
the rate of change of the area is Ra= 80 mm² per second
Step-by-step explanation:
the area of a rectangle (A) is
A = L * W , L= length and W= width
if the width remains constant the change in the area is only due to the change in length , thus:
ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length
ΔA = W ΔL
denoting Δt as the time required to change, and dividing both sides by Δt
ΔA/Δt = W ΔL/Δt
where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.
thus
Ra = W * RL
replacing values
Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second
Answer:
461 adults and 864 students
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.
We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.
We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.
1(1325-a)+5a=3169
1325-a+5a=3169
1325+4a=3169
1325-1325+4a=3169-1325
4a=1844
a=461
This means that 461 adults attended and 864 students attended since 864+461=1325.
Answer:
Length of rectangular lawn =72 meters
Breadth of rectangular lawn =18 meters
Perimeter of rectangle =2(Length+Breadth)
So, Perimeter of rectangle =2(72+18)=2(90)=180 meters
If three shrubs can be planted in a meter of hedge.
Then, Number of shrubs planted in whole perimeter will be=3×180=540
Step-by-step explanation:
Step-by-step explanation:
25m + 10b = 400
not enough info to solve for m or b. but that's the equation you would use.
The answer will stay the same because you can't combine like terms.
Also I don't think it is Order of Ops because it doesn't have any exponets, etc.
~JZ
Hope it helps