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

please help i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

In ecosystems, matter and energy are transferred from one form to another. Matter refers to all of the living and nonliving things in that environment. Nutrients and living matter are passed from producers to consumers, then broken down by decomposers. Decomposers break down dead plant and animal matter.

13 Find the surface area of the cylinder. Round to the
15.in
19 in.
Not drawn to scale
A 1791 in.
B. 11281 in.
C3204 in
D. 5815 in.
2

Please help I’m doing a test and it’s being timed

Answers

I don’t know if you still need the answer but it would be C) 3204 in.

if your reading this please help meeee

Answers

Answer:

both angles are 92 degrees

Step-by-step explanation:

88+c=180

c=92

c and b are vertical angles and all vertical angles are equal

what is the answer to 4x+7=-2+4x

Answers

0=(-9)

Step-by-step explanation:

4x + 7 = -2 + 4x

4x + 7 = 4x -2

subtract 7 from both sides of the equation.

simplify your answer.

subtract 4x from both sides of the equation.

simplify your answer again.

4x + 7 = 4x -2

___-7 = 4x -7

4x __ = 4x -9

__4x = 4x -9

-4x = -4x -9

__0 = -9

the input is a contradiction: it has no solutions.

HELP PLEASE PLEASE!
18.) Savings: You have decided to put 12% of your weekly paycheck into a
savings account. You made $85.50 las week. How much did you put into
the savings account? *
$12.26
$8.55
$10.26
Other:

Answers

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation:

hi i need help with this question asap ty ty ty!!!

Answers

i think it would be 5 :)

Tom is told by his doctor that he needs to lose 15 pounds if Tom now it's 285 pounds then by what percentage should Tom's week decrease

Answers

Answer:

the percentage is 5.56%

Step-by-step explanation:

The computation of the percentage that the tom should decrease is shown below:

As Doctor said tom to reduce 15 pounds

As of now the tom has 285 pounds

So after considering the 15 pounds, it would be

= 285 - 15

= 270 pounds

Now the percentage that should be considered is

= (285 - 270) ÷ (270)

= 5.56%

Hence, the percentage is 5.56%

State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule

Answers

Answer:

c) similar by the AA rule

Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)

Answers

Answer: y= -3(x+4)

Step-by-step explanation:

A student scores 88, 73, 81, 75 , and 78 on the first five science tests of the year. What is the minimum score the student needs to get on the sixth test in order to have a test average of at least

Answers

Answer:

84

Step-by-step explanation:

Is this correct please help

Answers

i don’t think so but at least you’re tried

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

What is the GCF of 36 and 68?

Answers

Answer:

4

Step-by-step explanation:

Answer:

The greatest common factor of 36 and 68 is 4

Step-by-step explanation:

36÷4=9

68÷4=17

I need help I don’t understand

Answers

Answer:

x = 9

Step-by-step explanation:

By the property of intersecting secants:

[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]

I need help please!!

Answers

A
B
C
E
F
G
(It’s basically just a game of making pairs)

Please help me out.❤️

Answers

Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?

Answers

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres

Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce ​ triangle A′′B′′C′′ ​ ? ​ Triangle ABC ​ was translated 10 units right and then reflected across the x-axis. ​ Triangle ABC ​ was reflected across the y-axis and then translated 7 units down. ​ Triangle ABC ​ was reflected across the x-axis and then translated 9 units right. ​ Triangle ABC ​ was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.

Answers

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

I NEED HELP WITH THIS

Answers

72 degrees
........................

Answer:

∠HGJ + ∠KJG = 180°

So, ∠KJG = 62°

A ladder of length 6m leans against a vertical wall so that the base
of the ladder is 2m from the wall. Calculate the angle between the
ladder and the wall.

Answers

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

Explain how to find the slope of the line.

Answers

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

#CMIIW

What is 2/5 divided by 4

Answers

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.

Answers

36 using the angles replaceable to multiple bc it’s needed

Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?

Answers

Answer:

We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;

t² = 39.2 × 2/9.81

From which we have;

The time it takes the snowball to reach the ground is approximately 2.83 seconds

Step-by-step explanation:

The height of the building from which the ball is dropped, h = 39.2 m

The equation of the dropped a snowball, is given as follows;

t² = 39.2 × 9.8

Using the From the equation of free fall, we have;

s = u·t + 1/2·g·t²

Where;

u = The initial velocity = 0 m/s

t = The time of flight

g = The acceleration due to gravity = 9.81 m/s²

Therefore, we get;

∴ s = The height from which the snowball is dropped = 39.2 m

Therefore, we get;

39.2 = 0×t + 1/2×9.81×t²

∴ t² = 39.2 × 2/9.81  ≈ 7.99

t = √(7.99) ≈ 2.83

The time it takes the snowball to reach the ground, t ≈ 2.83 s.

Answer:

2 seconds

Explanation:

I had to do this assignment that's the correct answer

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

I think it’s 40(sorry if I’m wrong)

Pleas help will give brainliest

Answers

Answer:

8 steps can be cut

Step-by-step explanation:

20 ÷ 2.5 = 8

HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)

Answers

Answer:

should be A sorry if I'm wrong

I WILL GIVE BRAINLIEST.

(-a)n is negative

If a is a real number and n is a positive integer, which of the following represents all values of a and n such that the above
statement is true?

A. {a | a is positive) and {n | n is even}
B. {a | a is negative } and for {n| n is odd}
C. {a | a is negative} and {n | n is even}
D. {a | a is positive} and {n | n is odd}



Answers

Answer:

(-a)n is negative  number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is C

Step-by-step explanation:

PLEASE HELP!
Write the equation of a parabola with focus (−2,4) and directrix = 6.
SHOW YOUR WORK!!

Answers

I will give you the answer if you give me brainliest answer

Set B = {55, 57, 58, 59, 61}. Which number in set B has the smallest prime factor?

Answers

Answer:

58

Step-by-step explanation:

1 isn't a prime number. 2 is the smallest, which is in 58

Other Questions
Solve for y: 5(y + 2/5) = -13 Hurry, geometry math 7th grade My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today. GrassTreeFigure 34Which of the following is a food chain in the food web shown in Figure 3-4?A)tree, rabbit, hawk, snakeB)grass, grasshopper, frog, snakegrass, caterpillar, robin, hawkD)tree, deer, mountain lion, fox ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS what is the difference between sex chromosomes found in humna females and human males? what type of bird egg is this btw i live in sc i found it in my backyard my dog was about to step on it pls say right answer what is the answer to this? Marcus has a bag of 10red chips, 15 blue chips,and 5 black chips. Howmany times would heexpect to pick a red chip ifhe did the experiment 60times?A) 10B) 20C) 30D) 45PLEASE HELP THIS IS DUE TODAY What is the value of the expression 3b+20 for b=30 A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.Required:What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount? The number of music CDs sold in 1993 by one company was approximately 2.4 x 100. The number of music CDs sold by the samecompany in 2001was approximately 7.3 x 107. What is the difference in CDs sold between 1993 and 2001?sobod uopsandA. 70,600,000OB. 16,700,000C. 7,060,000D. 1,670,000Reset SelectionUS 5:33oLenovo Why was Plautilla Nelli's Last Supper painting unique compared to other versions of the Last Supper? 4. Find the greatest number which divides 171 and 251 leaving the remainders3 and 6 respectively. Abby wants a high-end computer system for her home office that can be upgraded. Which of the following should she choose?LaptopGaming ConsoleDesktopServer Bacteria are capable ofreproducing quickly. Explain howthis adaptation is beneficial intheir ability to become resistantto antibiotics Need some help :(What is the speed of a jet plane that flies 8100 km in 9 hours?A. 900 km/secB. 900 km/hrC. 900 meters/secD. 900 km/hr/hrI will give Brainliest !! Communication When Kristy and Scott got married, they exchanged wedding rings that they weardaily. This is an example of how nonverbal communication usessignals a connection between two people.orA) tie signsB) deceptive gesturesC) immediacy behaviorsD) facial expressions Barnum and Bailey part of a famous traveling circus, so they travel frequently. Their child, Ringling, is an 11-month-old baby and travels everywhere the circus goes. Ringling has a regular routine but easily adapts to new eating and sleeping habits whenever the circus moves across states. According to Chess and Thomas, Ringling would be classified asan easy child.an inhibited child.a slow-to-warm-up child.a passive child. A rectangular prism is shown.What is the volume, in cubic inches, of this rectangular prisim