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Stells [14]
3 years ago
13

Haley and nicole stopped at the school bookstore for extra supplies. Haley bought 8 pencils and 3 folders and spent 10.39.Nicloe

bought 5 pencils and 4 folders and spent 10.51. How much does a floder cost
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

The answer to your question is: a folder cost $1.92

Step-by-step explanation:

Haley bought 8 pencils and 3 folders   spent 10.39

Nicole bought 5 pencils and 4 folders spent 10.51

Folder = ?

pencil = x

folder = y

Equations

        8x + 3 y = 10.39           (1)

        5x  + 4 y = 10.51           (2)

Solve these equations

    4    ( 8x + 3 y = 10.39 )               32x + 12 y = 41.46

   -3    ( 5x  + 4 y = 10.51)              -15x   - 12y  =-31.53

                                                    17 x          0   = 9.93

                                                       

                                                        x = 9.93 / 17

                                                         x = 0.58   pencil

           8(0.58) + 3y = 10.39

           4.64 + 3y = 10.39

           3y = 10.39 - 4.64

           3y = 5.75

             y = 5.75 / 3

             y = 1.92   folder

 

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A total of 363 were sold for the school play. They were either adult tickets or student tickets. The number of student tickets s
timurjin [86]

Answer:

The number of adult tickets sold was 121

Step-by-step explanation:

The general equation is: <em>S</em> + <em>A</em> = <em>T</em>    ;where <em>S</em> means student tickets, <em>A</em> means adult tickets and <em>T</em> means total tickets. We know that <em>S</em> is two times <em>A</em> and <em>T</em> is 363. So, <em>S</em> will be 2x and A will be x. Then, the new equation is 2x + x = 363.

<em>S</em> + <em>A</em> = <em>T</em>  

2x + x = 363  

3x = 363  

x = 363 / 3

x = 121

Adult tickets: <em>A</em> = x = 121

Student tickets: <em>S</em> = 2x = 2 * 121 = 242

5 0
3 years ago
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Answer:

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8 0
3 years ago
The price demand equation for hamburgers at a fast food restaurant is given by the following equation: x+400p=3500. Currently th
aivan3 [116]
I am not sure sorry...
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4 years ago
The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.
OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when t=\frac{13}{2}

Step-by-step explanation:

From the information given, the equation of motion of the object is

s(t)= -16t^2+208t+156

For any equation of motion s(t), the instantaneous velocity at time t is given by

v(t)=\frac{ds}{dt}

(a) To find the object's velocity at t = 7, you must:

v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208

Next, we evaluate when t = 7

v(7)=-32(7)+208=-224+208\\\\v(7)=-16

The object's velocity at t = 7 is -16 ft/s

(b) <em>To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the</em><em> critical points.</em>

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}

Next, we substitute this value into the equation of motion to find the maximum height

s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832

The maximum height is 832 ft and it occurs when t=\frac{13}{2}

6 0
3 years ago
Can the tangent ratio equal one?
monitta
Yes

tan=oposite side/adjacent side

when the oposite side=the adjacent side, then we can have tan function equal to 1

that hapens in a 45-45-90 triangle

that is when you have tan(45°) or tan(\frac{\pi}{4})
4 0
4 years ago
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