Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
.....(3)
For largest area, differentiate above area equation wrt y.
Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).
Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.
Answer:
3.33 miles per hour
Step-by-step explanation:
The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.
So, to find the average speed of the entire trip, we can use the formula:
distance = speed * time
With distance = 10 and time = 3, we have:
10 = speed * 3
speed = 10/3 = 3.33 miles per hour.
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18
Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
<em>a = 4 1/5 (also can be turned into 21/5)</em>
<em>b = 2 7/20 (also can be turned into 47/20)</em>
<em>c = 3 1/4 (also can be turned into 13/4)</em>
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.
