Mathematics High School

Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.

Natalie is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client,
charging a total of $239. Today, she did 2 haircuts and colored the hair of 1 client, charging a
total of $192. How much does Natalie charge for her services?

Natalie charges $_
for a haircut and $
for a coloring

Answers

Answer 1

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Related Questions

Jackie so $9500 worth of vacuum cleaners in December if she earns a commission rate of 15% of all sales what commission Did she earn

Answers

Answer:

1425

Step-by-step explanation:

I'm pretty sure 1425 is 15% of 9500.

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Answers

Answer:

B the answer is B I believe so

A guide on how to set up an equation:
Total cookies sold were: 69
Gabby sold: 35
We don’t know how many Ross sold so his cookies are: B (until calculated)

Equation:
35+B=69
Option C is the answer.
We want to calculate the total amount of cookies and in order to do so, we must add 35 and B to calculate 69.

I can give you a more in depth explanation if you want just leave a comment! (Also no need to give any points). I also tutor, so if you need any math help I can leave my email in the comments.

If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?

Answers

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

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***WILL GIVE BRAINLIEST***

Answers

f(x)=7x-5
x=-14
7(-14)-5
-98-5
final answer is -103

-103 is the answer to the question

Rita is starting a running program. The table shows the total number of miles she runs in different weeks. What is the equation of the line of best fit for the data? State each number to the thousandths place.

Answers

Step-by-step explanation:

Y = 1.671 X + 4.699

The equation of best fit data is Y = 1.671 X + 4.699

What are fit equations?

Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.

The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.

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#SPJ2

Answer please ASAP thank you

Answers

Answer:

1. quadrilateral, four,four

2.triangle, three, three

3. triangle, three, three

4. quadrilateral, four, four

5. triangle, three, three

I NEED HELP ON THIS ASAP

Answers

Answer:

1 muffin equals $2.08 for the first package.1 muffin equals $1.91 for the second package.1 muffin equals $1.88 for the third package.

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We add the scale factor to each length of an image to get the scaled copy.
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Answers

Answer:

false

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

original dimensions / scale of the drawing = dimensions of the scale drawing

To scale an image, divide the original length by the scale

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the length of the scale copy = 100/4 = 25

Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.

Three times the difference between a number and six is eighteen.

Answers

Pls be careful when clicking on links they seem unsafe

i need help with this asap
dexide whether pait of angles
1 and 2
4 and 3
5 and 6
arw alternate interior angles
alternate exterior angles
corresponding anglws
same side intetior angles

Answers

Answer:

1 and 2 is corresponding angles

4 and 3 is alternate interior angles

5 and 6 corresponding angles

A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
Formula(a^2 +b^2=c^2)

Answers

Answer:

i'd say so

Step-by-step explanation: none of the sides are the same length as another

Find the area of the trapezoid by decomposing into two triangles.

Answers

Answer:

Step-by-step explanation:

I am pretty sure the answer is 32

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D.Supplementary
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Answers

Answer:

vertical

Step-by-step explanation:

Answer:

vertical

Step-by-step explanation:

np have a nice day

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Answers

Answer:

90 is the correct answer

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Answers

Answer:

z=32/6

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Answers

Answer:

sure ;D its 12.25 :p

Step-by-step explanation:

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Answers

48 units since the angle is more obtuse and down

Answer:

24 units2

Step-by-step explanation:

Hope it helps !! :)

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Answers

(1, -2)

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PLEASE HELP I WILL MARK BRANLIEST FOR FIRST AND CORRECT ANSWER AND NO LINKS

Answers

Answer:

I think the Las t answer

Step-by-step explanation:

prime minister and members of the legislature

Answer:

Prime ministierer only :P

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Answers

I think this is it.

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779
w
Z
O A 38.5
OB 51.5
D103

Answers

Answer:

A. 38.5

Step-by-step explanation:

Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.

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Answers

The way you can do this is Pythagorean theorem. Since the hypotenuse has to be the highest part. So you would do 14^2 + 18^ = c^2 and then do that and you get 196 + 324 which is equal to 520 so then get the square root of that which is 22.8, but it says largest possible whole number length so you would put 22.

Answer:

Step-by-step explanation:

I added the numbers yw

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Answers

Answer:

270 cm2

Step-by-step explanation:

multiply the two triangles is 60

the rectangle on the left 35

rectangle on the bottom 84

rectangle on the top 91

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Answers

Answer:

-45

Step-by-step explanation:

75 is 25% more than 60, but 60 is 20% less than 75, explain why?

Answers

Answer:

because 75 is a larger number

Step-by-step explanation:

eg. 1% of 100 is 1, but 1% of 50 is 0.5

12 divided by x = 50

Answers

the answer to 12 divided by 50 calculated using Long Division is:

12 Remainder

Answer:

x = [tex]\frac{6}{25}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12}{x}[/tex] = 50 ( multiply both sides by x )

12 = 50x ( divide both sides by 50 )

[tex]\frac{12}{50}[/tex] = x , that is

x = [tex]\frac{6}{25}[/tex]

a cube has a surface area of 486cm^2. what is its side length?

Answers

Answer:

9 cm

Step-by-step explanation:

Total surface area of a cube =486 cm²

We know that the surface area of the cube

=6l²

Therefore,

6l ² =486

l² =81

l =9 cm

Which fraction is a name for the point that is labeled with the question mark on the number line?
A) 4/8
B) 3/4
C) 1/4
D) 2/4

Answers

Answer:

The awnser is C it is 2/8 simplified to 1/4

Step-by-step explanation:

Kelvin makes a map of his apartment using a coordinate system with yards as the units. The point (-9,8) represents the main entrance of the apartment and the point (-5,6) represents the location of the kitchen. Approximately how far apart are the main entrance and the kitchen?

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b. 4.5 yards

c. 12 yards

d. 20 yards

Answers

Answer:

4.5

Step-by-step explanation:

Marty's class collected $10.00 in a school-wide penny collection contest. If Tommy's class subtracted $4.00 from the amount they collected, x, and then multiplied the difference by 2, they would have the same amount of money as Marty's class.

How much money did Tommy's class collect?
A.
$9.00
B.
$13.00
C.
$4.00
D.
$17.00

Answers

C I thing I am not 100% sure let me know

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