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Semmy [17]
3 years ago
5

you need to hire a catering company to serve meals to guests at a wedding reception. Company A charges $500 plus $20 per guest.

Company B charges $800 plus $16 per guest. For how nany guests are the total costs the same at both companies

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0
Let's say, guest, is g and we make the equation:
$500+$20g=$800+$16g
$20g=$300+16g
$4g=$300
g=75
Hopes this loves.
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A hardware store receives shipments containing 600 light bulbs each.**Part A sample of 75 light bulbs in a given shipment contai
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Find the distance and midpoints of the following points:
timofeeve [1]
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4 0
3 years ago
How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5\sqrt{3} > = <3 + -3.5 , 4 + 3.5\sqrt{3} >

∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

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