All categories

3 years ago

A car rental company offers two plans for renting a car.

Mathematics

1 answer:

mixas84 [53]3 years ago

5 0

Answer:

More than 375 miles.

Step-by-step explanation:

Let x represent number of miles.

We have been given that according to plan A, the company charges 20 dollars per day and 8 cents per mile.

The cost of driving a car for x miles would be $0.08x$ .

The total cost of driving a car for x miles would be $0.08x+20$ .

To find the number of miles, we can represent our given information in an inequality, where cost of plan A is greater than plan B as:

$0.08x+20>50$

$0.08x+20-20>50-20$

$0.08x>30$

$\frac{0.08x}{0.08}>\frac{30}{0.08}$

$x>375$

Therefore, we should drive more than 375 miles for plan B to save us money.

You might be interested in

How would you solve this by elimination?

jekas [21]

To solve this equation by elimination, what you would do is multiply one of the equations by -1, or distribute -1 to each term in the equation, any of the 2 equations. Then align the equations and add them together.

-(X + 3y = 3)
-X - 3y = -3

-X - 3y = -3
X + 6y = 3
__________
3y = 0
y = 0/3 = 0.

Now we can solve for x, by simply plugging the value of y into any of the 2 equations.

X + 6y = 3
X + 6(0) = 3
X + 0 = 3
X = 3.

The solution to your system of equations would be (3,0).

Check this by plugging in the point to the other equation and see if it is true.

X + 3y = 3
(3) + 3(0) = 3
3 + 0 = 3
3 = 3.

Thus it is the solution.

5 0

3 years ago

When constructing parallel and perpendicular lines, how are the steps similar?

Schach [20]

Similar steps:

1. You need to draw a reference line first( It's trivial but hey, it's similar)

2. You need to draw the other line with pre-defined slope( parallel with same slope, perpendicular with the product of the slope to be -1)

5 0

3 years ago

Read 2 more answers

1.) (X+9)(x+3)

hodyreva [135]

$(x+9)(x+3)=x^2+3x+9x+27=x^2+12x+27\\\\
(y-5)(y^2-2y+6)=y^3-2y^2+6y-5y^2+10y-30=\\
=y^3-7y^2+16y-30$

5 0

3 years ago

How do you do solve this?

solniwko [45]

The relative frequency is the frequency of the item divided by the total number of all items. The total number of all items here is: 50 + 40 + 90 +20 = 200.

$Burgers = \frac{50}{200} = 25%$
$Pasta = \frac{40}{200} = 20%$
$Pizza = \frac{90}{200} = 45%$
$Salad = \frac{20}{200} = 10%$

Hope this helps!

3 0

3 years ago

Domain and range of graphs

White raven [17]

Answer:the domain is every “x” coordinate and the range is the “y” coordinate

Step-by-step explanation:

If you have to tell whether it’s a function or not, all of the x values in the domain will be different for a function, and 2 or more of the same x value won’t be a function

4 0

3 years ago