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3 years ago

14

a moving company charges $250 to rent a truck and $0.40 for each mile driven. Mr. Lee paid a total of $314. Which equation can b

e used to find m, the number of miles he drove the moving truck?

1 answer:

Llana [10]3 years ago

3 0

The equation would be
314 = 0.4(x) + 250
Would you like me to explain?

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Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there

Alona [7]

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

y = price of child ticket

(1) 175x + 103y = 13796 (2) 2x + 2y = 184

x + y = 92

y = 92 - x

175x + 103(92 - x) = 13796

175x + 9476 - 103x = 13796

72x = 4320

x = 60 y = 92 - 60

y = 32

4 0

2 years ago

Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

3 years ago

Miss Williams asked her class if they prefer doing their homework before school or after school if the ratio of students who pre

fredd [130]

IT means that the students prefer doing homework after school more than before school!
<span>7 / 22 = 31.818181818182%
</span>
HOPE I HELPED!

~Tomas

6 0

3 years ago

Read 2 more answers

Please help I need it please pleas please

monitta

Answer:

its the second one

Step-by-step explanation:

116 × 115

______

100

hope this helps

have a nice day <3

3 0

2 years ago

Read 2 more answers

The line passes through the point (-4,1) and is perpendicular to the line y=1/2x-4.

zepelin [54]

Answer:

y=-2x-7

Step-by-step explanation:

lines are typically written in y=mx+b form, where m is the slope and b is the y intercept

we are given the line y=1/2x-4

perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1

so to find the slope of the new line, use this formula:

1/2m=-1

multiply by 2

m=-2

so the slope is -2

here's the equation so far, written in y=mx+b form

y=-2x+b

we need to find b

because the line passes through the point (-4,1), we can use it to solve for b

substiute -4 as x and 1 as y

1=-2(-4)+b

1=8+b

-7=b

so b is -7

therefore the line is:

y=-2x-7

Hope this helps! :D

4 0

3 years ago