Answer:
520 people in 2 hours
rate = 260 people per hour
Step-by-step explanation:
change minutes to hours
15 minute* 1 hr/60 minutes = .25 hrs
65 people x people
--------------- = ------------------
.25 hrs 2 hrs
using cross products
65 * 2 = .25 * x
130 = .25x
divide by .25
130/.25 = .25x/.25
520 =x
520 people
65 people x people
--------------- = ------------------
.25 hrs 1 hrs
using cross products
65 = .25x
divide by .25
65/.25 = .25x/.25
260 =x
260 people in 1 hour
rate = 260 people per hour
Answer:
Side of 22 and height of 11
Step-by-step explanation:
Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:


As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank
Base area with open top 
Side area 4sh
Total surface area 
We can substitute 


To find the minimum of this function, we can take the first derivative, and set it to 0



![s = \sqrt[3]{10648} = 22](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%5B3%5D%7B10648%7D%20%3D%2022)

Step-by-step explanation:
×/21 x ×/21 = 7× x/21
x= 1/3
Answer:
They would have the bike for 1.7 hours
Step-by-step explanation:
The bike is rented at a charge of $5 for every half an hour,this can be expressed as:
$5 per 0.5 hours, to calculate the time one will have the bike if they pay $17
The amount of paid=Standard Rate per 1/2 of an hour/Number of hours
where;
The amount paid=$17
Standard Rate per 1/2 an hour=$5/0.5
Number of hours
Replacing;
n=(17×0.5)/5=1.7 hours
Answer:
z= 13
x= 36
y= 18
Step-by-step explanation:
Solving for z.
We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.
We can set both of those angles equal to each other, and solve for our missing side, z.
108= 8z+4
104=8z
z= 13
Solving for x.
We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.
We can set both of these angles equal to each other, and solve for our missing side, x.
3x=108
x= 36
Solve for y.
We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.
4y+108=180
4y= 72
y= 18