All categories

3 years ago

Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car

Mathematics

1 answer:

wlad13 [49]3 years ago

3 0

Answer:

750 miles

Step-by-step explanation:

Ronald

Rental fee = fixed cost + variable cost

= $25 + $0.05x

Where x = number of miles

Dixon

Rental fee = fixed cost + variable cost

= $40 + $0.03x

How many miles must they both drive for their rental fees to be the same?

Equate the two equations

$25 + $0.05x = $40 + $0.03x

Collect like terms

0.05x - 0.03x = 40 - 25

0.02x = 15

Divide both sides by 0.02

x = 15 / 0.02

= 750 miles

You might be interested in

What is the difference in height from the top of the pillar to the bottom of the pillar ?

stiks02 [169]

Answer:

i think the difference in height from the top to the bottom is 8ft

8 0

2 years ago

The price of commodity a is 4500 and increases at the rate of $6 every three months. Commodity b costs $5400 and increases at ra

ivanzaharov [21]

Let x be the months and y be the cost.

Rate of increase of commodity A = 6/3 = $2 per month
Equation:
y = 2x + 4500

Rate of increase of commodity B = 2/4 = $0.5 per month
Equation:
y = 0.5x + 5400

Equating the costs,
2x + 4500 = 0.5x + 5400
1.5x = 900
x = 600 months
x = 600 / 12 = 50 years

5 0

3 years ago

Find X and Y. <br> I really need help on this. It’s confusing.

stepan [7]

Step-by-step explanation:

7x-2 ) + (١١x -34)

so u will get the answer

after getting it u can easy get y

4 0

2 years ago

Read 2 more answers

Please help and show work

GrogVix [38]

Answer:

Step-by-step explanation:

This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:

$tan26=\frac{h}{123}$ and

123tan(26) = h so

h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is

60.0 + 5.3 = 65.3 feet.

7 0

3 years ago

What is the least value of x which the inequality is true? 16 is greater than or equal to -2x

tia_tia [17]

Answer:Then the system of inequalities that represents the graph is second option:

2x +y is less than or equal to 3, and y-x is greater than or equal to 2

Step-by-step explanation: The area shaded is below the blue line and above the red line.

1.) The blue line goes through the points:

P1=(0,3)=(x1,y1)→x1=0, y1=3

P2=(1,1)=(x2,y2)→x2=1, y2=1

Slope: m=(y2-y1)/(x2-x1)

m=(1-3)/(1-0)→m=(-2)/(1)→m=-2

Point-slope form:

y-y1=m(x-x1)

y-3=-2(x-0)→y-3=-2(x)→y-3=-2x→y-3+3=-2x+3→y=-2x+3

The area below the blue line is:

y<=-2x+3→y+2x<=-2x+3→2x+y<=3

2x +y is less than or equal to 3

2.) The red line goes through the points:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(-2,0)=(x2,y2)→x2=-2, y2=0

Slope: m=(y2-y1)/(x2-x1)

m=(0-2)/(-2-0)→m=(-2)/(-2)→m=1

Point-slope form:

y-y1=m(x-x1)

y-2=1(x-0)→y-2=1(x)→y-2=x→y-2+2=x+2→y=x+2

The area above the red line is:

y>=x+2→y-x>=x+2-x→y-x>=2

y-x is greater than or equal to 2

Then the system of inequalities that represents the graph is:

2x +y is less than or equal to 3, and y-x is greater than or equal to 2

Read more on Brainly.com - brainly.com/question/11890005#readmore

6 0

3 years ago