Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit

Answers

Answer 1

Answer:

13 sessions

The cost for either plan: $675

Step-by-step explanation:

48x + 51 = 49x + 38

51 - 38 = 49x - 48x

13 = x


Related Questions

Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?

Answers

Answer:

$9.89

Step-by-step explanation:

1. Divide 15 from 100, which leaves you with 0.15%.

2. Multiply 8.60 and .15; that will get you 1.29.

3. Finally, add 1.29 to 8.60 to get your answer!  

Consider the function F(x)=5x-1. Find the value of x for which the value of the function is equal to 89

Answers

Answer:

Sorry if im late

Step-by-step explanation:

The correct statements are:

The value of f(-10) = 82

The graph of the function is a parabola

The graph contains the point (20,-8)

Answer:

x=18

Step-by-step explanation:

89=5x-1

89+1=5x

90=5x

18=x

please help! & please explain your answer!!

Answers

Answer:

9

Step-by-step explanation:

Plan A remains with $450 stable charge and Plan B is:

200 + 30x, with x being the number of physical training sessions

In order Plan B to be cheaper we set an inequality:

200 + 30x < 45030x < 250x < 250/30x = 8.33 < 9

M is the midpoint of segment AB.


AM=13x


BM=8x+10


AB=

Answers

13x = 8x + 10
5x = 10
x = 2

AM = 13(2) = 26

Since AM is half of AB,
AB = 26+26 = 52

AB = 52

1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?

Answers

Answer:

82,000+7500+1,386=168,136

Step-by-step explanation:

You have to do Addition

Simplify the numerical expression:

(0.05)(-0.25)

A) -0.0125
B) 0.0125
C) -1.25
D) 1.25

Answers

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)

From the graph, write the linear equation in slope-intercept form

Answers

Answer:

1.y=1/2+2

2.y=-2+1

3.y=3/2+3

4.y=-2/3-2

Step-by-step explanation:

Please help me in this!

Answers

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

7,218 round off thousand​

Answers

correct answer: 7,0007,218 rounded to the nearest 1,000 would be 7,000!

I was not taught this lesson in class today.

Answers

Answer:

C

Step-by-step explanation:

No slope is given so your slope is 0. Since both have no slope, they are both flat and therefore parallel

15 examples of real life situations where we apply approximation​

Answers

Answer:

Have a splendiferous day!

Hope this helps!

Step-by-step explanation:

Shopping at the grocery store

Rough calculations of math

Figuring out time it would take to reach a location

Making nearly accurate measurements

Trying to stay within a budget

Solving extremely complicated numbers

Dealing with decimals

For quick calculations in a business

To prepare ahead, e.g an overestimate

and so on.

Helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

m = - 1

Step-by-step explanation:

9m + 13 = 4

subtract 13 from both sides

9m = 4 - 13

9m = - 9

divide both sides by 9

m = - 1  (negative 1)

a researcher studied 30 people ages twenty to forty, 30 people ages forty-one to sixty, and 30 people ages sixty-one to eighty. the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. what research method did the researcher use, and what outcome would be found?

Answers

If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population  in which the researcher will then study or observe the data collected  at a particular period of time.

Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.

The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.

Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

Learn more about Cross-sectional here:

https://brainly.com/question/1900606



In comparing two distributions, which attribute would you not compare?

A. Joint frequency

B. Shape

C. Spread

D. Center

Answers

A. Joint frequency, it’s right I checked it myself

Answer:

If joint frequency isn't an option it is Marginal frequency

the cost is 15,000.00 and a markup of 90%

help plez :)

Answers

Very good question, well the answer you might be looking for is
Revenue: 28,500 $
Profit: 13,500
From what I calculated

Have a blessed day and God bless.
16,666.66666666667 !

Which number is different from the others? 100, 300, 400, 900, 81, 25, 3600
15 POINTSSSSSS

Answers

Answer:

81 is the answer

Step-by-step explanation:

:>>>>>>>>

U= 1 A solution to the inequality below??

10>u

Answers

Answer:

Yes

Step-by-step explanation:

10>1

PLEASE HELP

A. identify the vertex


B. Identify the intercept


C. Write the equation of the graph above


D. Fill in the end behavior:


As x , y ____


As x 3, y ____


E. Identify the domain and range:

Answers

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

   x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4  =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

https://brainly.com/question/21685473

2. A line passes through the points (4,7) and
(8, 6). The line also passes through the point
(a, 3.5) for what value of a? ​

Answers

Answer:

a = 18

Step-by-step explanation:

Slope = (7-6)/(4-8) = -1/4

y-intercept = 7 - (-1/4)(4) = 8

Equation of the line: y = - 1/4x + 8

(Substitute y for 3.5. When y is 3.5, what is x)

3.5 = - 1/4x + 8

3.5 - 8 = - 1/4x

(-4.5) / (- 1/4) = x

x = 18

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
A. The percent decrease was approximately 25%.
B. The percent decrease was approximately 33%.
C. The percent decrease was approximately 50%.
D. The percent decrease was approximately 66%.

Answers

IT'S D

HOPE THIS HELP MARK ME BRAINLIST

Find the value of GM If DM = 35

Answers

GM=4r-28 GM. Substitute the given values into
the expression. DM=r+ 5+ 3r - 14. Collect the like terms.

Find the GCF for the pair of numbers. ​9,4

Answers

The GCF of numbers is the greatest common factor of the numbers.

The numbers are given as: 4 and 9.

Factorize both:

[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]

[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]

The common factor between  both is 1.

So, we have:

[tex]\mathbf{GCF = 1 }[/tex]

Hence, the GCF of 4 and 9 is 1

Read more about GCFs at:

https://brainly.com/question/20061154

Write -7 / 9 as a rational number 3 different ways.

Answers

I)-7/9=-7×2/9×2=-14/18
(2)-7/9=-21/27
(3)-7/9=-28/36

A 56-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.​

Answers

Answer:

14-inch

Step-by-step explanation:

let the length of shorter piece be x

x+3x=56

4x=56

x=56/4

x=14

The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

y=rx 1/4/5/5/5

Step-by-step explanation:

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The proportional equation is

y = rx ( divide both sides by x )

[tex]\frac{y}{x}[/tex] = r

Substitute any ordered pair from the table

Using (14, 7 ) , then

r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]

Johan and Rahul shared a chocolate bar. Johan took 3\7
and Rahul took 4\9
of
the chocolate bar. Who took the biggest part of the chocolate bar? And by
how much?

Answers

Answer:

Rahul by 1

Step-by-step explanation:

Johan - 3/7

Rahul - 4/9

1. Convert fractions

3/7 -> 27/63

4/9 -> 28/63

28/63 > 27/63

Rahul took more by 1/63

Buffalo Bart’s Endless Wings charges $5.60 for sides and a drink, and then $0.40 per chicken wing. The Spicy Chicken charges $10 for sides and a drink, and then $0.20 per chicken wing. About how many chicken wings must be purchased so that the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken is the same?

Answers

Answer:

22.

Step-by-step explanation:

About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

Let's represent the number of chicken wings as "x".

The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):

Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x

The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):

Total cost at The Spicy Chicken = $10 + $0.20x

To find the number of chicken wings where the total costs are the same, we'll set up an equation:

$5.60 + $0.40x = $10 + $0.20x

Now, solve for "x":

$0.40x - $0.20x = $10 - $5.60

$0.20x = $4.40

Divide both sides by $0.20:

x = $4.40 / $0.20

x = 22

So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

please solve the equation and describe what mistake asif did

Answers

Hey
Here it is!!

8x+1=5
8x=4
x= 4/8
x=1/2

Answer:

1/2

Step-by-step explanation:

8×+1=5

8×=5-1

8×=4

×=4/8=1/2

Please help me solve this

Answers

The answer is x = -18

Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.

Answers

Answer:

f'(x)=6x+8

Step-by-step explanation:

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