Answer:
$152.33
Step-by-step explanation:
123.85 x 0.05 = $6.19
123.85 x 0.18 = $22.29
123.85 + 6.19 + 22.29 = $152.33
Answer:
19 ft by 38 feets
Step-by-step explanation:
Given that :
Available fencing = 76 feets
Rectangular fencing with 3 sides
Let the 3 sides be :
x, x, y
x + x + y = 2x + y = 76
y = 76 - 2x
Area = x * y = xy
Area = (76 - 2x) * x
Area = 76x - 2x²
Take derivative of Area with respect to x ; dA
dA /dx = 76 - 4x = 0
76 - 4x = 0
-4x = - 76
x = 76 / 4
x = 19
2x + y = 76
2(19) + y = 76
38 + y = 76
y = 76 - 38
y = 38
Hence, dimension : 19feet by 38 feets
The answers for this question are 2 , 3 , and 5. these 3 make the most sense.
Answer:the distance between the two cities is 100 miles
Step-by-step explanation:
Let x represent the distance between New York and Philadelphia.
Let t represent the time it takes to travel from New York to Philadelphia at 50 mph
Distance speed × time
time = distance/speed
To travel from New York to Philadelphia at 50 mph,
x = 50t
it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that
x = 60(t - 1/3) = 60t - 20
Since the distance is the same,
60t - 20 = 50t.
60t - 50t = 20
10t = 20
t = 20/10 = 2
Therefore
x = 50t = 50 × 2 = 100 miles
