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:

https://brainly.com/question/10612698


Related Questions

find the value of x when y=37 y=9-7x

Answers

Answer:

-4

Step-by-step explanation:

The equation can be rewritten as

37=9-7x

Subtract 9 from both sides

28=-7x

Divide both sides by 7

4=-x

This means that X is equal to -4

At Charlie's Hats, 12% of the 75 hats are baseball caps. How many baseball caps are there?

Answers

da answer is 24 OK understand

Elsa drove 715 miles in 13 hours, At the same rate, how long would it take her to drive 275 miles?

Answers

Answer:

Driving 275 miles would take Elsa 5 hrs.

Step-by-step explanation:

Write and solve an equation of ratios:

 715 mi         13 hrs

------------- = --------------

 275 mi              x

This leads to:  715x = 13(275), or x = 5 (hrs)

Driving 275 miles would take Elsa 5 hrs.

Dan made 85% of his free throws. If he took 45 shots how many did he make?

Answers

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

Answer:  38

Work Shown:

85% = 85/100 = 0.85

85% of 45 = 0.85*45 = 38.25

Rounding to the nearest whole number, we get the result 38

As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.

Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?

Answers

Answer:24

Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24

can someone explain this to me ?

Answers

Answer:

well y= mx + b

Step-by-step explanation:

it is going up by 2/5 then your answer is y =2/5+5

Need help ASP!!! Math-help

Answers

Answer:
Could not lie on the same line
Explanation:

The vertices of a triangle are P(8, -5), Q(-5, -8), and R(-4, -3). What are the vertices of the
image reflected across the y-axis?

A. P’(8,-5), Q'(-5, -8), and R'(-4,-3)

B. P'(-8,5), Q'(5,8), and R'(4,3)

C. P'(8,5), Q'(-5,8), and R'(-4,3)

D. P'(-8,-5), Q'(5, -8), and R'(4, -3)

Answers

Answer:

A

Step-by-step explanation:

Hi

Mathematics 14 question don’t understand

Answers

Answer:

  1/3^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

Your expression simplifies as follows:

  [tex](3^4)^{-8}= 3^{4(-8)}=3^{-32}=\boxed{\dfrac{1}{3^{32}}}[/tex]

1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

Answer:

no

Step-by-step explanation:

By the factor theorem

If (x + h) is a factor of f(x) then f(- h) = 0

Given (x + 4) with h = - 4 , then

f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1

       = - 64 - 2(16) - 20 + 1

      = - 64 - 32 - 19

      = - 115

Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)

Will mark brainliest

Answers

Answer:

E ( 1 , -1 ) is in quadrant IV

275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?

Answers

Answer:

$261.82 per 180 gallon of oil tank.

Step-by-step explanation:

set a proportion;

400 x

------ = -----

275 180

180/275 = 0.6545454545454 x 400

= 261.81818181816

round the the nearest hundredth

PLEASE HELP I BEG IMMA FAILLLLLLLLL

A rectangular garden is 40 ft wide and 55 ft long. On a blueprint, the width is 8 in. Identify the length on the blueprint.

Answers

Answer:

11

Step-by-step explanation:

First, you set up the proportion for the garden, 40/55 (width/length). Then, right beside it, you set up the proportion for the blueprint garden, 8/x (x because this is the answer we are trying to find). You can then do a scale factor to find the answer and the scale factor is 5 ( because 40 divided by 5 is 8) so you can divide 55 by 5 to get 11!! I hope this helps bro!! :D

Help!! Ill give 100 points!

Answers

Answer:

It will take about half an hour more for maria to finish his/her project than Juan.

Step-by-step explanation:

9/10 > 2/6

=> 54/60 > 20/60

=> 34/60

Therefore, it will take about half an hour more for maria to finish his/her project than Juan.

Hoped this helped.

Answer:

50min estimate 3/4h

Step-by-step explanation:

find 9/10h

60 : 10 * 9 = 54 min

find 2/6h

60 : 6 * 2 = 4 min

54 - 4 = 50 min

HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

thats easy B ur welcome !!!!

Answer:

The answer is B

Step-by-step explanation:

Help help help help math math

Answers

Answer:

r=8

Step-by-step explanation:

The radius is the diameter divided by 2.

So, 16/2 would equal 8.

Area = pi x radius^2

Pi=3 in this case

3x16^2=768cm^2 is the area

the smith family traveled 140 miles from winston salem to asheville they stopped at one rest area the diagram below shows their trip divide into equal segments

Answers

Answer:140 because you have to divided by 1

Step-by-step explanation:

( 8 x 400 ) + ( 8 x 9 )

Answers

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.

Answers

Answer:

Step-by-step explanation:

(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.

Solve each inequality

2x + 2 - 6x > -4 - 7x


1 + 7n ≤ 15 or -2n - 2 ≤ - 18

Please show all work :D

Answers

Answer:

x > -2n ≤ -2 or n ≥ 8

Step-by-step explanation:

1.

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

2.

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

A line has a slope of – 4 and includes the points (6,3) and (9,p). What is the value of p?

Answers

Answer:

The value of p is -9.

Step-by-step explanation:

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

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

pls help me out on this ill will give brainiest for the best answer


NO BOTS CAUSE THEY ARE NO HELP

Answers

Answer:

Step-by-step explanation:

butt

WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.

Graph

A combination of veggies that costs $17 but does not weigh 10 pounds.

Select all that apply.



Group of answer choices

D. 10 pounds of zucchini and 1 pound of broccoli

B. 4 pounds of zucchini and 6 pounds of broccoli

A. 6 pounds of zucchini, and 4 pounds of broccoli

C. 2 pounds of zucchini and 7 pounds of broccoli

Answers

Answer:

Andre has 4 pounds of Broccoli and 6 pounds of Zucchini.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

6 pounds of Zucchini, and 4 pounds of broccoli equals to $17 and 2 pounds of Zucchini, and 7 pounds of broccoli equals to $17. Hope this helps.

When would the following conditional be false?
If you study for the test, then your grade will be higher than a 75.

You study for the test, and your grade is an 80.
You study for the test, and your grade is a 70.
You do not study for the test, and your grade is an 80.
You do not study for the test, and your grade is a 70.

Answers

According to the conditional statement, the false option is:

You study for the test, and your grade is a 70.

The statement is:

"If you study for the test, then your grade will be higher than a 75."

It says nothing about not studying for the test, hence the third and fourth options are ignored.

If you study, you are ensured a grade higher than 75, hence, the false option is:

You study for the test, and your grade is a 70.

You can learn more about conditional statements at https://brainly.com/question/11073037

Please answer this question.

Answers

Sequence A? Sorry if this is wrong!! Good luck!!


Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11

Answers

Answer:

It is the second option

[tex]2 \sqrt{11} [/tex]

bri bought a sweater for $7 for a 20% discount what was the original price?​

Answers

Answer:

$200

Step-by-step explanation:

20% =$40; Since 5x20%=100% just multiply 5x $40 to get the total (before discount) cost of $200

1) For which pair of triangles could ONLY the Side Angle Side postulate (SAS) be used to prove the triangles congruent?
A) Pair A
B) Pair B
9 Pair
D) Pair D

2) For which pair of triangles could either the Side Angle Side postulate (SAS) or Side Side Side postulate (SSS) be used
to prove the triangles congruent?
A) Pair A
B) Pair B
C) Pair C
D) Pair D

Answers

Answer:

1) A

2) D

Step-by-step explanation:

1) You can see that both sides are equal and they have only one angle in common

2) This one is a bit more quirky. You have to complete the angles. First, you name the two that are in front of each other because of the vertice. In that way, you can see that they have one side in common (S), then the angle which we just explained (A), and finally another side (S)

Hope this was helpful.

add 17 divied by 20 + 7 dived by 20 help

Answers

Answer:

1.2

Step-by-step explanation:

17 ÷ 20 + 7 ÷ 20

I hope this helps!

Write... the number 7 as a fraction with the denominator 3.​

Answers

Answer:

[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]

Step-by-step explanation:

[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]

Answer:2[tex]\frac{0.3}{3}[/tex]

Step-by-step explanation:

Other Questions
How does temperature affect the rate of a reaction?A. temperature decreases, the kinetic energy of the particles increases and the number of collisions between particles increasesB. As temperature increases, the kinetic energy of the particles increases and the number of collisions between particles increasesC. As temperature increases, the kinetic energy of the particles decreases and the number of collisions between particles increasesD .As temperature increases, the kinetic energy of the particles decreases and the number of collisions between particles decreases why is it significant that the name tuareg may have been derived from the arabic word meaning abandoned by allah? Solve for x. 7x+8>4x+4 Help help hep help help math X is y% of what number? A= _ , _B= _ , _C= _ , _ Green Valley High School recently completed an expansion. Of the new classrooms, 11 are mathclassrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked atrandom, what is the probability that the classroom is for math or history? What is the Central Idea of BTS? 4. The delegate who created the compromise for the Constitution wasO A. Roger ShermanO B. James MadisonO C. Alexander HamiltonO D. William Paterson Explain why the reader doubts he will ever come back to travel the first Road in the poem road not taken Solve the simultaneous equations4 x + y = 17 3 x + y = 15 In "Julie of the Wolves" does Kapugen kill Amaroq? A southern slave owner argues that slavery is too important to the South'seconomy to abolish. In your journal write a paragraph or two responding to this pro slaveryargument. You may use the 5 abolitionist arguments against slavery in your response but keepin mind that you are trying to convince this southern slave owner that he and other slaveowners are better off without slavery How and why did President Polk gain control over Texas? complete the following sentences by giving the appropriate answer needed in the blank magine a white bug and a brown bug on a brown rock. Which bug do you think a bird would most likely try to catch? Explain your choice. A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?. 8/9 write simplified Every generation should move on and forget the beliefs and practices of previous generations.How far do you agree with this? Give reasons and details to support your view. please help me asap..ty :)