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3 years ago

13

A ride in a taxi cab costs $2.50 for the pick-up charge and $0.50 for every mile, m, after that. Which equation can be used to f

ind the cost, c, of a taxi cab rid?

1 answer:

Nata [24]3 years ago

8 0

The equation is 0.5m+2.50=c

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Jerry plays tennis once every 6 days.Sam plays tennis every 10 days and Leo comes once every 12 days.Thus Monday all of them pla

drek231 [11]

Answer:

Friday

Step-by-step explanation:

Given

Jerry = Every 6 days.

Sam = Every 10 days

Leo = Every 12 days.

Required.

If they meet on Monday, when next (day) will they meet

First, we need to get the multiple of 6, 10 and 12.

6 => 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72......

10 => 10, 20, 30, 40, 50, 60, 70, 80.....

12=> 12, 24, 36, 48, 6o, 72, 84, 96......

The common factor between the multiples of 6, 10 and 12 is 60.

This represents the LCM.

It implies that they'll meet on the 60th day after their last meeting on Monday.

To get the day, follow the steps below.

Since there are 7 days a week

So, there are 60/7 weeks in 60 days

60/7 = 8 weeks 4 days

Recall that the last day they met was a Monday.

Hence, there next meeting will be 4 days after Monday.

4 days after Monday = Friday

7 0

3 years ago

Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)

vfiekz [6]

Answer:

Step-by-step explanation:

given a point $(x_0,y_0)$ the equation of a line with slope m that passes through the given point is

$y-y_0 = m(x-x_0)$ or equivalently

$y = mx+(y_0-mx_0)$ .

Recall that a line of the form $y=mx+b$ , the y intercept is b and the x intercept is $\frac{-b}{m}$ .

So, in our case, the y intercept is $(y_0-mx_0)$ and the x intercept is $\frac{mx_0-y_0}{m}$ .

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph $(x_0,\frac{1}{x_0})$ . Which means that $y_0=\frac{1}{x_0}$

The slope of the tangent line is given by the derivative of the function evaluated at $x_0$ . Using the properties of derivatives, we get

$y' = \frac{-1}{x^2}$ . So evaluated at $x_0$ we get $m = \frac{-1}{x_0^2}$

Replacing the values in our previous findings we get that the y intercept is

$(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}$

The x intercept is

$\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0$

The triangle in consideration has height $\frac{2}{x_0}$ and base $2x_0$ . So the area is

$\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2$

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0

3 years ago

A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level

amid [387]

Because the tree is the halfway point, the building would be twice as tall:

The building is 38 x 2 = 76 feet tall.

3 0

3 years ago

Read 2 more answers

I'm thinking of two numbers, 12 and another number. 12 and my other number have a GCF of 6 and a LCM of 36. What's the other num

mihalych1998 [28]

Answer:

As GCF is

6

and LCM is

36

, and one number is

12

other number is

6

×

36

12

=

6

×

3

36

1

12

=

18

Step-by-step explanation:

5 0

3 years ago

A 2007 survey of 980 American drivers concluded that 38% of the driving population would be willing to pay higher gas prices to

Oksana_A [137]

Answer:

The correct answer to the question is

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment.

Step-by-step explanation:

The margin of error expresses the number of percentage points of error is contained within survey result. A large error margin therefore reduces the level of dependence on a given statistic. The margin of error describes the expected variation between the statistic sample and the real population value.

In the question, the option

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment , clearly depicts the definition of margin of error as it shows the expected variance from te real population

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3 years ago