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tankabanditka [31]
3 years ago
12

The cost of a taxi follows the function C(m) =6+.50m where C is the cost and m is the number of miles. Find the cost for: 10 mil

es and 20 miles
Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0

Answer:

Step-by-step explanation:

c

=

0.6

d

+

1.2

Explanation:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is  

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

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Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5 ?
34kurt

Answer:

y = 1

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 25 when x = \frac{1}{5} , then

25 = \frac{k}{\frac{1}{5} } = 5k ( divide both sides by 5 )

5 = k

y = \frac{5}{x} ← equation of variation

When x = 5, then

y = \frac{5}{5} = 1

8 0
3 years ago
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard devi
Nataliya [291]

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

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3 years ago
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satela [25.4K]

Answer:

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4 0
2 years ago
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Simplify. Write the expression using only positive exponents.
viva [34]

Answer:

w^6/9

Step-by-step explanation:

w to the power of 6 divided by 6

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2 years ago
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A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

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7 0
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