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AnnyKZ [126]
3 years ago
6

A bus driver drives a bus 72 miles. the bus uses 6 gallons of gas to make the trip. how many miles can the bus travel with just

1 gallon?
A. 80 miles
B. 66 miles
C. 60 miles
D. 12 miles
E. 10 miles
Mathematics
1 answer:
pentagon [3]3 years ago
6 0
Do 72 divided by 6 to get 12 so the answer is D
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150-(2+x)^3 when x equals 2
Schach [20]

Answer:

86

Step-by-step explanation:

150 - (2 + x)³

=> 150 - (2 + 2)³

=> 150 - (4)³

=> 150 - 64

=> 86

Therefore, 86 is the correct answer.

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2 years ago
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[X + y] + 3w? Helpppppp
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Step-by-step explanation:

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s
makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = Length \times Breadth = xy

We are given that the area of the garden is 122 square feet

So, xy=122 ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = 30x+20(\frac{122}{x})

Total cost = \frac{2440}{x}+30x

Now take the derivative to minimize the cost

f(x)=\frac{2440}{x}+30x

f'(x)=-\frac{2440}{x^2}+30

Equate it equal to 0

0=-\frac{2440}{x^2}+30

\frac{2440}{x^2}=30

\sqrt{\frac{2440}{30}}=x

9.018 =x

Now check whether it is minimum or not

take second derivative

f'(x)=-\frac{2440}{x^2}+30

f''(x)=-(-2)\frac{2440}{x^3}

Substitute the value of x

f''(x)=-(-2)\frac{2440}{(9.018)^3}

f''(x)=6.6540

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

(9.018)y=122

y=\frac{122}{9.018}

y=13.528

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0
3 years ago
What is (-0.8)(-0.8)(-0.8)
puteri [66]
The answer would be -0.512
You would get this answer because -0.8 times -0.8 equals 0.64. Positive 0.64 times negative 0.8 would result In -0.512
8 0
2 years ago
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The length of each side of a square is 6 feet more than the length of a side of a regular Octagon. The perimeter of the square i
goldfiish [28.3K]

9514 1404 393

Answer:

  • square: 12 ft sides
  • octagon: 6 ft sides

Step-by-step explanation:

This problem can be worked in your head.

If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.

__

We can let s represent the side length of the octagon. Then we have ...

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  4(s +6) = perimeter of square

These are equal, so ...

  4(s +6) = 8s

  s +6 = 2s . . . . . . divide by 4

  6 = s . . . . . . . . . . subtract s

The octagon has 6-ft sides; the square has 12-ft sides.

8 0
3 years ago
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