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guajiro [1.7K]
3 years ago
13

Nathan and Connor want to take a road trip and they are going to rent a car. Vroom Vroom car rental agency charges $50 one-time

fee and $0.35 per mile. Bon Voyage car rental agency charges $75 one-time fee and $0.25 per mile. For what number of miles driven are the car rental agencies charging the same amount?
Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0
50 + .35x = 75 + .25x

.1x = 25

25 divided by .1 is 250

going back and checking my work: 

50 + .35 (250) = 137.5

75 + .25(250) = 137.5

So the answer is 250 miles
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Create your own equation
guapka [62]

Answer:

45+20=65

21+33=54

90+10=100

100+30= 130

Step-by-step explanation:

45+20=65

Doesn't belong as it has an odd numbered answer where as all the others have even answers

HOPE THIS HELPS

6 0
2 years ago
Mr. Ramirez built a wooden storage shed for his tools. The dimensions of the shed are shown below. What is the volume of the sto
ankoles [38]

Answer:

Volume = 24\ ft^3

Step-by-step explanation:

Given [Missing from the question]

Length = 170cm\\ Width = 100cm\\ Height = 40cm

Required

Determine the volume

This is calculated as:

Volume = Length * Width * Height

Volume = 170cm * 100cm * 40cm

Volume = 680000cm^3

Convert to cubic foot [Divide by 28317 ]

Volume = \frac{680000\ ft/^3}{28317}

Volume = 24.0138432744\ ft^3

Volume = 24\ ft^3 --- approximated

7 0
3 years ago
A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (> r) from th
jeyben [28]

Consider a circle with radius r centered at some point (R+r,0) on the x-axis. This circle has equation

(x-(R+r))^2+y^2=r^2

Revolve the region bounded by this circle across the y-axis to get a torus. Using the shell method, the volume of the resulting torus is

\displaystyle2\pi\int_R^{R+2r}2xy\,\mathrm dx

where 2y=\sqrt{r^2-(x-(R+r))^2}-(-\sqrt{r^2-(x-(R+r))^2})=2\sqrt{r^2-(x-(R+r))^2}.

So the volume is

\displaystyle4\pi\int_R^{R+2r}x\sqrt{r^2-(x-(R+r))^2}\,\mathrm dx

Substitute

x-(R+r)=r\sin t\implies\mathrm dx=r\cos t\,\mathrm dt

and the integral becomes

\displaystyle4\pi r^2\int_{-\pi/2}^{\pi/2}(R+r+r\sin t)\cos^2t\,\mathrm dt

Notice that \sin t\cos^2t is an odd function, so the integral over \left[-\frac\pi2,\frac\pi2\right] is 0. This leaves us with

\displaystyle4\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}\cos^2t\,\mathrm dt

Write

\cos^2t=\dfrac{1+\cos(2t)}2

so the volume is

\displaystyle2\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}(1+\cos(2t))\,\mathrm dt=\boxed{2\pi^2r^2(R+r)}

6 0
3 years ago
What is 12/2? Answer for 10 points!!!
Mkey [24]

Answer:

6

Step-by-step explanation:

12/2=6/1=6

7 0
3 years ago
Read 2 more answers
PLEASE HELP
dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}

Two events A and B are independent when

Pr(A\cap B)=Pr(A)\cdot Pr(B)

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21

Since 0.35\cdot 0.60=0.21 events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14

Since 0.40\cdot 0.35=0.14 events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26

Since 0.65\cdot 0.40=0.26 events are independent

4 0
3 years ago
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