Answer:
12.5 miles per hour
Step-by-step explanation:
This is a fraction equal to
25 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
<u>25 miles </u>÷ 2
2 hours ÷ 2
<u>12.5 miles</u>
1 hour
= 12.5 miles per hour
Answer:
Step-by-step explanation:
Since this is a test/hw, I'll give a hint.
This problem at first can seem a bit difficult with q's and power's everywhere.
But let's take a step backward. A power is when your mutiplying something by itself again and again.
Ex: 3^3=3 times 3 times 3
But what if we had something liiiike this:
(3^3)2
In this case its now
(3 times 3 times 3)^2, so its "techinicaly" (27)^2. And you would a fairly large number, which I'm to lazy to solve. But that's not the point.
We've seen what a power is deconstructed, and what a power is. Because my explantion probably confused you more than it helped, I'll give an example.
(2^2)^2=(2 times 2)^2=(4^2=16=2^4
However, there is a shorter way to solve it.
(2^2)^2=2^(2 times 2)=2^4
Hope this helps.
Answer:
p = 2/3 while q = 5/3
Hope it helps, cos I'm kinda busy to give the explanation
Answer:
He will finish the rest of the problems in 32.4 minutes.
Step-by-step explanation:
Since we are given that Yan has completed 3/5 of 45 problems i.e.
Thus he has completed 27 problems
Remaining no. of problems are 45-27 = 18
Since he complete each problem in minutes = 
So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes
Hence , He will finish the rest of the problems in 32.4 minutes.
Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet
