Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Answer 1

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Let y = Total cost x = number of sessions

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

Combine like terms together

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

Plug in the value of x

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Learn more about algebraic equations on:

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Related Questions

In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year.

What is the population of the town in 2006?

Answers

Answer:

Approximately 9666 people

Step-by-step explanation:

We can describe this trend as the formula [tex]P=8914(1.0136)^{n}[/tex] where [tex]P[/tex] is the population of the town [tex]n[/tex] years after 2000.

Therefore, the population of the town in 2006 will be [tex]P=8914(1.0136)^{6}\approx9666[/tex]


HELP please it’s due in a hour

Answers

Answer:

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Step-by-step explanation:

First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.

Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.

Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.

So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375

A.564
B.420
C.427
D.394

Answers

C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

To find this: 434-420=14
14/2=7
434-7=427
420+7=427

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

3:7

Step-by-step explanation:

She has 3 tennis and 7 soccer

27 subtracted from a number can be written as?

Answers

Answer:

example : 100- 27= 73

Step-by-step explanation:

you take a number and then subtract by the number that you were given. I hope this helps!!

Answer:

27 - x (expression that it can be written as)

the length of 2x metres and it's width is 2 metres shorter than its length. what is the area of the rectangle​

Answers

Answer:

4x^2-4x

Step-by-step explanation:

2x*(2x-2)

(2x)(2x)+(2x)(−2)

[tex]4x^2-4x[/tex]

Hope this helped! :)

Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.

Answers

Answer:

x=1+sqr57,1-sqr57

Step-by-step explanation:

Answer:

  x = -6.5, x = 8.5

Step-by-step explanation:

The given equation ...

  x^2 -4x -31 = -2x +25

can be rewritten to a form that facilitates completing the square:

  x^2 -2x = 56 . . . . . add 2x+31

  x^2 -2x +1 = 57 . . . add 1 to complete the square

  (x -1)^2 = 57 . . . . . write the left side as a square

  x -1 = ±√57 . . . . . take the square root

  x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate

Solutions are near x = -6.5 and x = 8.5.

A runing track is 400m long. Carrie runs wight laps. How far is this in kilometres.

Answers

Multiply length of track by number of times run:

8 x 400 = 3,200 meters

1 km = 1000 meters

3200 meters / 1000 = 3.2 kilometers

Answer: 3.2 kilometers

Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15
minutes

Answers

Answer:

1500

Step-by-step explanation:

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.

A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.

Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?

−5
−2
3
12

Answers

Answer:

-2

Step-by-step explanation:

f(x)≈ -0.86x+13.5

  putting x=18 in f(x), we get

    f(x)≈ -0.86×18+13.5

 ⇒      f(x)≈ -15.48+13.5

 ⇒      f(x)≈ -1.98

 ⇒      f(x)≈ -2

Answer:B

Step-by-step explanation:

The answer is B also known as -2

its math can someone help

Answers

Answer:

$2.5/game

Step-by-step explanation:

To find Slope, Change of rate

find two points on the graph

I selected : (4,14) and (8, 24)

Slope: y2-y1/x2-x1

24-14/8-4

10/4

5/2

=2.5

so the rate of change is $2.5/game

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9

Add 9 to each side

-10+9 < x - 9+9

-1 < x

x > -1

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9

- 10 + 9 < x - 9 + 9

- 1 < x

x > - 1

Hope it helps!!

In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.

Answers

Answer:

E is (1, 2) and M is (-3,-2),

Step-by-step explanation:

G and O are diagonally opposite points.

E is the image of O in the x axis and M is the image of G in the x axis.

E which is adjacent to M and  will have y-coordinate of 2 and x -coordinate 1.

M  will have x coordinate same as G which is -3 and y coordinate is -2.

The coordinates of E are (1, 2) and coordinates of M are (-3,-2),

What are Coordinates?

The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.

Here, G and O are diagonally opposite points.

E is the image of O in the x-axis and M is the image of G in the x axis.

E which is adjacent to M and  will have y-coordinate of 2 and x -coordinate 1.

M  will have x coordinate same as G which is -3 and y coordinate is -2.

Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),

Learn more about Coordinates from:

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#SPJ2

Which expression is equivalent to -51 - ( -60 ) ?
A. 51 - 60
B. 60 + 51
C. -60 + ( -51 )
D. -51 + 60

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)

Answers

Answer: 1. 24

2. 32

3. 22

4. 16

5. 14

6. 34

7. 44

8. 30

9. 24

10. 50

Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest

explain how 984/616=123/77

Answers

They are equal because you can multiply the numerator and denominator of 123/77 by 8
And you get
984/616

Hope this helps!
Brainliest is much appreciated!

Answer:

984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.

May someone help me with this please?​

Answers

Answer:

Count to 2 and add 3/8

Step-by-step explanation:

Go to 2 and on the 3rd little line

Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?

Answers

Answer:

25 points

Step-by-step explanation:

21 x 3

63

-20

43

-18

25

What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.

Answers

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(6-8)

m=(2+4)/-2

m=6/-2

m=-3

-6x+3y= -15 4x-3y= 13

Answers

Answer:

Equation form = x = 1, y = -3

Step-by-step explanation:

Point form = (1,-3)

I apologize for the messy writing but (1,-3)

If the only force acting on the player is gravity what is F in F=ma?

Answers

Answer:

  F is the force due to gravity

Step-by-step explanation:

F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².

In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE

Answers

The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

Learn more on similar shapes here: https://brainly.com/question/14285697

Answer:

5/3

Step-by-step explanation:

A student finds the minimum value of the function
f
(
x
)
=
x
2

18
x
+
85
by completing the square. What is the minimum value of the function?


85

85

4

4


9

− − 9


18

Answers

Its not possible to find the answer

What's the formula for the area of a triangle?

Answers

Answer:

A=hb/2

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2. Find the area of a triangle where height = 5 cm and width = 8 cm. A triangle is always half the area of a rectangle with the same height and width.

Hey there!

“ What's the formula for the area of a triangle?”

The area of triangle formula is:

A = hbB/2

Whereas “hb” is your “height base” & “b” is your “base”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Side note:

You can look at the question for an example of what the area of a triangle is

on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?

Answers

Answer:

35 degrees.

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

27 - 35 = -8

Mang Andres is going to put eggs in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andres can put using the trays? 
correct answer=brainliest and likes (the second person will only get likes and rate)
nonsense=report​

Answers

Answer:

1

Step-by-step explanation:

The LCF of 6 and 12 is 1

Hope it helps

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Factors that are greater than 1/2 but less than one

Answers

6/8

Step-by-step explanation:

1/2 = 0.5

6/8 = 0.75

therefore, 0.75 > 0.5

WILL GIVE BRAINLY, THANKS, AND 5 STARS

Answers

Answer:

C

Step-by-step explanation:

Long division

I hope this helps have a great day :)

Answer:

The answer is the last one

Step-by-step explanation:

Answer:

= 66 R 30

= 66 30/61

4056 divided by 61 equals

66 with a remainder of 30

Solution:

   0 0 6 6

6 1 4 0 5 6

 − 0      

   4 0    

 −   0    

   4 0 5  

 − 3 6 6  

     3 9 6

   − 3 6 6

       3 0

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.



1. How many band members are sixth graders?
band members

2. How many band members are seventh graders?
band members

3. What percentage of the band members are eighth graders?

Answers

Answer:

1=28 students 2=14students 3=40%

Step-by-step explanation:

1. 70 students = 100%

7 students = 10%

28 students = 40%

28 students are sixth graders!

2.70 students = 100%

7 students = 10%

14 students = 20%

14 students are seventh graders!

3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%

40% are eighth graders!

May I please receive help?

Answers

not sure of the first one but pretty sure the second one is a right triangle
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