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Mekhanik [1.2K]
2 years ago
8

Suzie just became a personal trainer and is finalizing her pricing plans. One plan is to charge $59 for the initial consultation

and then $86 per session. Another plan is to charge $63 for the consultation and $84 per session. Suzie realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
8 0

Answer:

2 sessions, $231

Step-by-step explanation:

Make an equation (let x represent the number of sessions)

59+86x=63+84x

Subtract 84x from both sides

59+2x=63

Subtract 59 from both sides

2x=4

Divide by 2

x=2

At 2 sessions they will be equal

To find the cost, substitute 2 in for x

59+86(2)=63+84(2)

59+172=63+168

231=231

So, at 2 sessions the plans will cost the same at $231

Hope this helps! :)

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D= V(x2 - 1)2 + (12 - y1)?
Mrac [35]

Answer:

The approximate length of segment EF is 7 unit  

Step-by-step explanation:

Given figure is the graph having E and F coordinate

The coordinate of point E = ( x_1 , y_1 ) = ( - 2 , -4 )

The coordinate of point F = ( x_2 , y_2 ) = ( 2 , 2 )

Let The distance between the points E and F = D

So, D = \sqrt{(x_2 - x_1)^{2} + ( y_2 - y_1 )^{2} }

or,  D = \sqrt{(2 - (- 2 ))^{2} + ( 2 - ( - 4 ))^{2} }

Or,  D = \sqrt{( 4 )^{2} + ( 6 )^{2} }

or, D = \sqrt{16 + 36}

∴  D = \sqrt{52}

I.e D = 7.21 unit

So, Approximate value of D = 7 unit

Hence The approximate length of segment EF is 7 unit  . Answer

8 0
3 years ago
find three consecutive odd integers such that the square of the first plus the square of the third is 170
scZoUnD [109]
Here is the set up:

x
x + 2
x + 4

x^2 + (x + 2) + (x + 4)^2 = 170

Take it from here.
4 0
3 years ago
Which of the following is a zero pair?<br> a. 12, 12<br> b. -12, -12<br> C. 12, -12<br> d. O, 12
siniylev [52]

Answer:I think it’s D

Step-by-step explanation:

3 0
2 years ago
Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40
alexgriva [62]

x = # of hours the bike was rented.

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Subtract $12 from both sides.

$28 = $7x

Divide both sides by $7

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Sandy rented the bike for 4 hours.

8 0
3 years ago
(2x+5y-z)+(-6x-4y+7z)
11111nata11111 [884]

Answer:

-4x + y + 6z

Step-by-step explanation:

2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)

2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer

2x - 6x = -4x

5y - 4y = y

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our new expression is:

-4x + y + 6z we cannot simplify this any further, so this is our answer

8 0
3 years ago
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