A rental car agency charges $240 per week plus $0.25 per mile to rent a car. The charge of a minivan is $180 per week plus $0.40 per mile .After how many miles is the total charge for each vehicle the same

Answers

Answer 1
Answer:

Final answer:

To find out how many miles the total charge for each vehicle is the same, set up an equation and solve for x.

Explanation:

To find out how many miles the total charge for each vehicle is the same, we need to set up an equation.

Let's suppose the number of miles is x. For the first vehicle, the total charge can be represented as 240 + 0.25x, and for the minivan, it can be represented as 180 + 0.40x.

Setting up the equation, we have:

240 + 0.25x = 180 + 0.40x

Now, we can solve this equation to find the value of x.

Subtracting 0.25x from both sides, we have:

240 = 180 + 0.15x

Subtracting 180 from both sides, we have:

60 = 0.15x

Dividing both sides by 0.15, we get:

x = 400

Therefore, after 400 miles, the total charge for each vehicle is the same.

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light travels about 186,000mi/s . The function gives the distance​ d(t), in ​, that travels in t seconds. How far does travel in ​16s.

Answers

The function d(t) = 186000t gives the distance, in miles, that light travels in t seconds.

To find how far light travels in 16 seconds, we can plug in t = 16 and calculate d(16).

Using my pocket calculator, I get:
d(16) = 186000 * 16 d(16) = 2976000

So, light travels 2976000 miles in 16 seconds. That’s about 12 times the circumference of the Earth or 0.05% of a light-year.

Sam counted his heartbeats while resting. His heart beat 220 times in 4 minutes. Sam's heart beat at the same rate for the 4 minutes.

Answers

The equation for the number of beats per minute is 55 beats per minute

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of beats be = A

Now , the value of A = 220 beats

The total time required for Sam to have 220 beats = 4 minutes

So , the number of beats of Sam in 1 minutes is calculated by

The equation will be

The number of beats of Sam in 1 minutes is = total number of beats  / total time required for Sam to have 220 beats

The number of beats of Sam in 1 minute is = 220 / 4

The number of beats of Sam in 1 minute is = 55 beats per minute

Therefore , Sam would have 55 beats every minute or 55 beats per minute

And for the period of 4 minutes , Sam would have

Number of beats for 4 minutes = number of beats of Sam in 1 minute x 4

Number of beats for 4 minutes = 55 x 4

Number of beats for 4 minutes = 220 beats in 4 minutes

Hence , The equation for the number of beats per minute is 55 beats per minute

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The equation is , 220 x 4 = 880 , if his heart beat the same time every minute than multiple how many times it beat time the minute !

A rectangle measures 14cm by 4cm what is the area

Answers

Answer:

56cm^(2)

Step-by-step explanation:

A rectangle measures 14 cm by 4 cm

Length of Rectangle= 14 cm

Breadth  of Rectangle= 4 cm

Area of Rectangle= Length × Breadth

Area of rectangle= 14 cm× 4 cm

Hence,Area of rectangle = 56 cm^(2)

Hence, the correct answer is 56  cm^(2)

The answer is 56 so I am getting how many points?

Can x-2 ever be less than 0? Why or why not?

Answers

Of course it can.  It always is if 'x' is less than 2.
Yes, it can.

See inequality:

x-2 < 0
x < 2

So, any value of x smaller than 2 become x- 2 a negative result.


Which of the following could identify the transformation of a parabola with a vertex (-4,-6) to parabola with a vertex (1,-6)?

Answers

Hello,

2 possibilties:
1) a translation to the right of 5 (both parabolas are turning upward)
2) a central symetry( center is (-1.5,-6)
parabolas does not have the same direction upward and downward.

How long is 63 months in years?

Answers

The time-duration "63-months" in years can be expressed as 5.25 years.

To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.

Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.

This means that 63 months is equivalent to 5 years and 3 months.

To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.

Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.

Therefore, 63 months is approximately 5.25 years.

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Five years and three months.