Russell is going to hire a makeup artist for a fashion show and is comparing prices. Martha charges $10 as a booking fee and an additional $40 per hour. Jackie charges $35 per hour, plus a booking fee of $20. Depending on the length of the show, the cost could end up being the same for either artist. Write the system of equations for this scenario and define the variables.​

Answers

Answer 1

After solving the equation, the number of hours obtained is that after 2 hours, the cost ends up being the same for either artist.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Booking fee of Martha = $10

Additional hourly charge of Martha = $40

Then, the equation will be,

y = $10 + $40x            (i)

Here, y is the total cost and x is the number of hours.

Booking fee of Jackie = $20

Additional hourly charge of Jackie = $35

Then, the equation for this will be,

y = $20 + $35x           (ii)

Here, y is the total cost and x is the number of hours.

Then, depending on the length of the show, the cost could end up being the same for either artist.

So,

From equations (i) and (ii)

$20 + $35x =  $10 + $40x  

20 - 10 = 40x - 35x

5x = 10

x = 2 hours

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Related Questions

Lines AB and XY are best described as which of the following?
A
BO
A. Perpendicular segments
B. Perpendicular rays
ОООО
C. Parallel lines
D. Perpendicular lines

Answers

Lines AB and XY best describe the perpendicular segments. The correct option is A.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Lines AB and XY best describe the perpendicular segments. AS they are cutting each other at 90 degrees.

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Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?

Answers

Answer:

7 hours

Explanation:

Divide 5 and 335 then multiply by 469

because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles

5 / 339 × 469 =7 hours

The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m

Answers

Answer:

Area of the actual room = 288 m²

Step-by-step explanation:

Given:

Scale factor = 2cm to 4 m

Dimension of rectangle ball room = 6 cm and 12 cm

Find:

Area of the actual room

Computation:

Actual dimension of rectangle ball room;

⇒ [6/2]4 = 12 m

⇒ [12/2]4 = 24 m

Area of rectangle = Length x Width

⇒ Area of the actual room = Actual length x Actual width

⇒ Area of the actual room = 12 x 24

Area of the actual room = 288 m²

Find the area. The figures are not drawn to scale.
12.
(1 point)
4 cm
6.9 cm
O 13.8 cm2
O 10.9 cm2
O 27.6 cm2
O 55.2 cm?

Answers

Answer and step-by-step explanation:

If it is a rectangle, the formula is:

L * W

Fill in the values:

4*6.9

Then solve.

27.6

So, if it is a rectangle, the answer is (C), 27.6 Inches squared.

If it is a triangle, the the formula is:

(B*H)/2

Fill in the values:

4*6.9/2

Simplify:

27.6/2

Then solve.

13.8

So, if it is a triangle, the answer is (A), 13.8 Inches squared

Hope this helps!

The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is

Answers

Answer:

width 5

length 7

Step-by-step explanation:

W * L = 35

L = 4 * W - 13

W * (4W-13) = 35

4 W^2 - 13 W - 35 = 0

delta = 169 + 4*4*35 = 729 = 27^2

W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)

L = 4 * 5 - 13 = 7

The length and width of the rectangle are 7 cm and 5 cm respectively.

What is a rectangle?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².

We know that, the area of a rectangle = length × width

Let the width of the given rectangle be w,

According to question,

length = 4w - 13

Therefore,

(4w - 13) × w = 35

4w² - 13w = 35

4w² - 13w - 35 = 0

Factorizing, we get,

w = 5 and w = -7/4

Therefore, width = 5

Length = 20 - 13

Length = 7

Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.

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Which one is right can y help me

Answers

Answer:

What are you trying to find out? Like what do you mean by which one is right?

Step-by-step explanation:

jimmy made a circle graph illustrating the results of a survey he took to find the favorite subject of the students in his seventh grade class which subject was chosen as a favorite by exactly 20% of the students

Answers

Answer:

Physical education

Step-by-step explanation:

The subject chosen as a favorite by exactly 20% of the students is maths.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

From the circle graph,

Maths = 20%

English = 25%

Hindi = 10%

Science = 45%

We see that,

The subject was chosen as a favorite by exactly 20% of the students in maths.

Thus,

The subject was chosen as a favorite by exactly 20% of the students in maths.

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159. Three percent size is the size

Answers

So to to get 3% of 159 you: 159x0.03=4.77

Please solve and show your work. Thank you! I will mark brainiest :)

Answers

Answer:

x=22.5

Step-by-step explanation:

Make a ratio

The names of the triangle help with this.

AB is similar to FG, and AC is similar to FH (the missing side)

6/15 = 9/x

cross multiply

6x=135

divide both sides by 6

x=22.5

Answer:

X=22.5

Step-by-step explanation:

6/9=15/x

135=6x

22.5=X


Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6

Answers

Answer:

B

Step-by-step explanation:

Have a nice day!

The answer is B since you can add in any order with those numbers

if t=2, what is √18t?

Answers

Answer:

s

Step-by-step explanation:

5.5~

Answer:

8.48528137 I think

Please help Me ASAP Please

Answers

Answer:

217/31=7. He needs to run 7 miles per day.

What is it i’m really really really confused about it lollll

Answers

Answer:

it would be D

So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.

If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost

Think about it as breaking even.  You aren't actually gaining anything if you are gaining back the exact same amount you lost.

The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________

Answers

9514 1404 393

Answer:

x(x+2) = 637, 9-9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

Solve using substitution. You MUST find both variables to be crowned brainiest

2x + 4y = 40
x - 6y = -36

Answers

2x+4y=40
x=-36+6y
2(-36+6y)+4y=40
y=7
x=-36+6x7
x=6
(x,y)=(6,7)
2x6+4x7=40
6-6x7=-36
40=40
-36=-36
(x,y)=(6,7)


The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?

Answers

Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
15 . Mark me brainliest !!

It is felt that respondents are more likely to be honest when a randomized response survey is used. Subsequently, a substance-abuse prevention program at a university has designed and distributed the following questionnaire to all the employees and students: Flip a coin. If the coin comes up heads, answer Question a; if tails, answer Question b. All answers are anonymous. a. Do you carpool to the school

Answers

Answer:

hello your question is incomplete  below is the complete question

answer : 18%

Step-by-step explanation:

x = percentage using illicit drugs

sample size = 5000

number of persons with a yes = 1200

also management knows that 30% uses carpool

∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )

1200 / 5000 =  (0.5  * 0.3 ) + ( 0.5 * x )

 0.24 = 0.15 + 0.5 x

hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 =  0.18 = 18%  

Find the probability that a randomly selected point within the white area r=4

Answers

Answer:

0.25

Step-by-step explanation:

What are the ordered pairs of the solutions for the
following system of equations?
(3, [?]); ([ ], [ ])

Answers

Answer:

(3,1) ; (6,-2)

Step-by-step explanation:

We have to search the points that the line and the parabola have in common, that are the points where they intercept

(3,1) ; (6,-2)

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you

Answers

This question is incomplete, the complete question is;

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.

[ Two decimal places ]

Answer:

The probability that you be selected is  0.83

Step-by-step explanation:

 Given the data in the question;

total number of people in the panel = 12

number of people to be selected from the panel = 2

probability you wont be selected = ?

Number of ways of selecting 2 people from the 12 member panel is;

⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66

so total number of outcome = 66

Now, number of ways in favor of selecting you and another person from the 12 member panel is;

⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11

so favorable number of outcome = 11

∴ Probability of selecting you in the panel will be;

⇒ favorable number of outcome / total number of outcome

⇒ 11 / 66 = 1/6

Now, Probability of not selecting you in the panel will be;

⇒ 1 - Probability of selecting you in the panel

⇒ 1 - 1/6

0.83

Therefore, The probability that you be selected is  0.83

Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final

Answers

Answer:

first one is (d) second one is (b)

Step-by-step explanation:

The population of New York City is 23,945. Eastdale has a population of 12,774 What is the total population of the two communities
A.35,719
B. 36,619
C. 36,719
D. 37,619​

Answers

No.d
37,619

I hope that this helps you and please mark me as the brainliest.

bill,bob,and joe each have 9 oranges. Then a stranger gave Tim 4 oranges. He then gave 3 to his mother.​

Answers

1 orange
Hopefully this helped you out

find the volume of the cone Diameter:10 m and Height:10m, round to the nearest whole number​

Answers

Answer:

und wey kennen diese Antwort oder Art und Weise nicht, wie Sie sie wahr übersetzt haben

volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice

Answers

Answer:

Height = 2545.45cm

Step-by-step explanation:

Volume of cylinder = pie r^2 h

500 = 22/7*4*4*h

500*7/22*16 = h

2545.45cm = h

Triangle AA'B'C' is the image of AABC under a rotation about point P.

Answers

dont click on the links its a scam

Find the total area: ​

Answers

Answer:

518 cm squared

Step-by-step explanation:

Answer:

518 cm²

Step-by-step explanation:

First, we can split the shape into two parts.

The first part will be 8+22(which is the width)x13(29-16, which is the height). This gives us:

30x13=390 cm²

Now, for the next part, we have 8(width)x16(height), which gives us:

8x16=128 cm²

Finally, we add 128+390=518cm²

Which statement is true?

Answers

Answer:

[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]

For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200​

Answers

Answer:

C) 125

Step-by-step explanation:

If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.

The best estimate is choice C) 125

If a certain roundabout has diameter of 96 feet,
about how far would a car travel if it drove once
around?
A. 150.8 feet
B. 301.6 feet
C. 348.5 feet
D. 7,238.2 feet

Answers

9514 1404 393

Answer:

  B.  301.6 ft

Step-by-step explanation:

The circumference of the circle is given by the formula ...

  C = πd

For a diameter of 96 ft, the circumference of the circle is ...

  C = π(96 ft) ≈ 301.593 ft

The car would travel about 301.6 feet.

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