-8(1 + 8n) - 8(6 - 4n) = -24
-8 - 64n - 48 + 32n = -24
-32n - 56 = -24
-32n = 32
n = -1
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer:
Slope = 1
Step-by-step explanation:
The table gives the values of y corresponding to the values of x.
At x =5, y = 2.
At x = 7, y = 6 and
At x = 10, y = 7
Now, we have to determine the slope between points where x = 5 and where x = 10.
Now, the two concerned points are (5,2) and (10,7) and we have to find the slope between those two points.
Now, slope, 
(Answer)
Answer:
1. 36 miles
2. 108 miles
3. 234 miles
Step-by-step explanation:
Here we have the Distance in miles, time and calculated speed as follows;
Distance (miles) Elapsed time (hours) Speed (miles/hour)
0 0 0
72 2 36
144 4 36
216 6 36
Distance = Speed (miles/hour) × Elapsed Time (hour)
Therefore, in
1. 1 hour, she travels
1 × 36 = 36 miles
2. 3 hours she travels
3 hours × 36 miles/hour = 108 miles
3. 6.5 hours she travels
6.5 hours × 36 miles/hour = 234 miles.
Answer:
18 x 348 = 6,264.
Sofia's grandfather has 6,264 candies in total.
