Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services? PLEASE ANSWER

Answers

Answer 1

Answer:

Cost of haircut = $93

Cost of colouring hair = $31

Step-by-step explanation:

Let

Cost of haircut = x

Cost of colouring hair = y

The equations

x + 2y = 217 (1)

2x + y = 155 (2)

From (1)

x = 217 - 2y

Substitute x = 217 - 2y into (2)

2x + y = 155

2(217 - 2y) + y = 155

434 - 4y + y = 155

-3y = 155 - 434

-3y = -279

y = -279 / -3

= 93

y = $93

Substitute y = 93 into (1)

x + 2y = 217

x + 2(93) = 217

x + 186 = 217

x = 217 - 186

= 31

x = $31

Cost of haircut = $93

Cost of colouring hair = $31


Related Questions

Find the value of x.

Answers

Answer:

x=102

Step-by-step explanation:

X= 102!!!! Hope this helped

i need this question answered by 2:30 its for 20 points pls help

Answers

Answer:

46800

Step-by-step explanation:

10x15x24x13=46800

Answer; 221
Adding 24and10. Then divide by 2 then after multiply that number by the height !

8^1/6 multiply 2^x = 32^1/2 Work out the exact value of x. WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Answers

Answer:

x=2

Step-by-step explanation:

8^1/6 x 2^x = 32^1/2

Divide by 8^1/6

2^x= 32^42/8^y6

2^x=4

but 4= 2^2

2^x= 2^2

x=2

I hope helps you and if you consider and want you can give me a Brainly crown

Answer:

[tex]\huge\boxed{x=2}}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]

How many 5 minute intervals are between 4:35 pm and 5:00 pm

Answers

Answer: There are 5 five minute intervals.

I hope this helps, and Happy Holidays! :)

Answer:

25, 5 minute intervals.

Step-by-step explanation:

Hope this helps and you have a great day!

find the quotient. Problem is below

Answers

Answer:

26/9

Step-by-step explanation:

whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:

13/2 * 4/9

just do straight multiplication

numerators: 13*4 = 52

denominators: 2*9 = 18

52/18 = 26/9

Which graph represents y = StartRoot x EndRoot?

Answers

Answer:

b

Step-by-step explanation:

e2021

Answer:

Which graph represents y = [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer B Edge 2022

Howie wants to get a $250 loan with a simple interest rate of 4%.

Which expression can be used to find the TOTAL amount that must be repaid on this loan?



1Points
A
250 + 4%

B
250 x 0.04

C
(.04 x 250) + 250

Answers

Answer:

w

Step-by-step explanation:

a

Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?​

Answers

sue would get on the bus at 9:10

Answer:

9:00

Step-by-step explanation:

1, 6, 36, 216, ...

Find the 10th term in the sequence using the explicit formula.

Answers

The answer is 10077696
Because you multiply them by 6

drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?

Answers

Answer:

g = 2d - 8

g + d = 46

the question is "what is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted"

please help!​

Answers

Answer:

Rate Of Change= 7

Step-by-step explanation:

all you have to do is see the difference, imma make a table here first

x       y

1       10

3      24

6      45

11      80

15    108

from 10 to 24 you add 14

from 1 to 3 you add 2

so y/x

14/ 2 = 7

check:

from 24 to 45 you add 21

from 3 to 6 you add 3

so y/x

21/3 = 7

From y/x your final answer will always be 7.

So the rate of change will be 7.

Hope this helped a little!

Write 24 as a product of primes.
Use index notation when giving your answer.​

Answers

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.

Answers

Answer:

m∠AOC = 15°m∠BOC = 15°

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

m∠AOCm∠BOC

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

m∠AOC = 15°m∠BOC = 15°

please help 15 points i will give u

Answers

the answer is c i think

how do you find the perpendicular distance between a line segment and a point? (photo attached) i’m stuck

Answers

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

--------------------------------------------------------

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

Can someone pls answer these if someone gives me a step by step answer gets brainliest and 100pts

Quadrilateral ABCD has been dilated by a scale factor of -5/3, Quadrilateral A'B'C'D' is an enlargement of the pre-image.

Question 17 options:
True
False

Question 18 (5 points)
Quadrilateral MNPQ has been dilated by a scale factor of 1/2, Quadrilateral M'N'P'Q' is an enlargement of the pre-image.

Question 18 options:
True
False

Answers

9514 1404 393

Answer:

  17. True

  18. False

Step-by-step explanation:

A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.

__

17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).

__

18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.

I need helpp please​

Answers

Answer:

A, 0.07 x 0.06 =0.42.

Step-by-step explanation:

Which expression represents each mathematical phrase?

Drag the answer into the box to match each phrase.

(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number

(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x

Answers

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

Can someone plz help me

Answers

Answer:

Step-by-step explanation:

because the two lines are not unique.. in other words they lay on top of each other.. they have many solutions and we can't determine price  .. so answer C

If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25

Answers

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in total?

Answers

Answer:

the exact answer is 58.65

Step-by-step explanation:

since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things

The answer is 60 because you would do 100 divided by 85 multipled by 51

In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.

Answers

3 out of 12

1 out of 4

yea hopefully correct

But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet

Answers

Answer:

IT'S 22 JUST FOUND OUT

Step-by-step explanation:

Help! I need help asap

Answers

Answer:

3 looks right but I am not so sure

Step-by-step explanation:

sorry if i am wring

a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.​

Answers

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Rs 9000 = 10%
Multiply by 10
Rs 90,000 = 100%

90,000/4500 = 20 Carpets sold

Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

As per graph, using the points (-6, 0) and (0, 3) we determine that:

the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) =  /3/6 = 1/2

So the equation is:

y = mx + by = 1/2x + 3

may you plz help this is due today plz i will mark you brainlist

Answers

there you go! thoose are the answers

Answer:

1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4:  2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%

Step-by-step explanation:

find the mean median and mode of the data set :15,11,14,10,12,15,15

Answers

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

Given f(x) = -x +6, Evaluate f(x) for X= -1 and 3 and 5
Range:

Answers

Answer:

f(x) for x = -1 is -1+6= 5

f(x) for x = 3 is -3+6= 3

f(x) for x = 5 is -5+6= 1

BRAINLIEST BRAINLIEST
please answer thank you

Answers

Answer:

y + x = 7

Step-by-step explanation:

Standard form should be

y - 9 = -(x+2)

y = -x -2 +9

y + x = 7

Answer:

y + x = 7

Step-by-step explanation:

hope that helps :)

could you mark my answer as brainliest ? :)

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