HELP ME PLEASE!!
An electronic repair shop offers three types of service: on-site, at-store, and by-mail. On-site service costs 3 times as much as at-store service. By mail service costs $10 less than at-store
service. Last week, the shop completed 15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100.
Complete ALL parts. SHOW ALL WORK FOR FULL CREDIT
Part A : Define variables for each service. (1 point)
Part B
Write a systems of equations for the services. (3 points)
Part : Determine the cost of one on-site repair service. SHOW ALL WORK! (3 points)

HELP ME PLEASE!!An Electronic Repair Shop Offers Three Types Of Service: On-site, At-store, And By-mail.

Answers

Answer 1

Using a system of equation, we have that:

a)

x, which is the cost of on-site service.y, which is the cost of at-store service.z, which is the cost of by-mail service.

b)

The system is:

[tex]x = 3y[/tex]

[tex]z = y - 10[/tex]

[tex]15x + 40y + 5z = 3100[/tex]

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

x, which is the cost of on-site service.y, which is the cost of at-store service.z, which is the cost of by-mail service.

Item b:

On-site service costs 3 times as much as at-store service, thus:

[tex]x = 3y[/tex]

By mail service costs $10 less than at-store  service, thus:

[tex]z = y - 10[/tex]

Last week, the shop completed 15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100, thus:

[tex]15x + 40y + 5z = 3100[/tex]

The system is:

[tex]x = 3y[/tex]

[tex]z = y - 10[/tex]

[tex]15x + 40y + 5z = 3100[/tex]

Item c:

The cost of one on-site repair service is x.First, replacing the first two equations into the third, we find y, and then with it we find x.

[tex]15x + 40y + 5z = 3100[/tex]

[tex]15(4y) + 40y + 5(y - 10) = 3100[/tex]

[tex]60y + 40y + 5y = 3150[/tex]

[tex]105y = 3150[/tex]

[tex]y = \frac{3150}{105}[/tex]

[tex]y = 30[/tex]

Then

[tex]x = 3y = 3(30) = 90[/tex]

The cost of one on-site repair service is of $90.

A similar problem is given at https://brainly.com/question/24823220


Related Questions

NEED THIS ASAP
If RS = 6.6, find RT:

Answers

Answer:

12.12

Step-by-step explanation:

multiplye them by 2

Find the surface area of a cylinder with a base radius of 4 cm and a height of 7 cm.
Use the value 3.14 for a, and do not do any rounding.
Be sure to include the correct unit.

Answers

Answer: 276.32cm³

Step-by-step explanation:

Surface area, A, of a cylinder is given by the formula:

A = 2*pi*r*h + 2*pi*r²

r = radius

h = height

Substituting pi for 3.14 gives:

A = (2 * 3.14 * 4 * 7) + (2 * 3.14 * 4²)

A = 276.32cm³

I've put them in brackets, but this is not necessary.

Which equation gives the line shown on the graph? 9 y = 2x + 4 10 9 ON y = 2x – 4 y y= 4x + 4 5 1 NEN 3 Y= - 12 - 4 2 1 012 3 4 5 6 7 8 9 10​

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Answer:

A

Step-by-step explanation:

I think though im not sure

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Answer:

2

Step-by-step explanation:

Look at the picture.

Answer: 2

Explanation: :3

I will give you 10 points

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Answer -4/27

-1/9 x 4/3 will give you -4/27

write the equation of a line that is perpendicular to the line y=-6 and passes through the point (3,7)

Answers

Step-by-step explanation:

when two lines are perpendicular to each other( the product of their slope; m1m2 = -1)

m1 = -1/m2

m1 = -1/-6= 1/6

using the formula m= y-y1 / x - x1

1/6 = y -7 /x - 3

6(y -7) = x -3

6y -42 = x - 3

6y - x -39 =0

Divide both sides by 6

y - 1/6 x - 13/2= 0

y = 1/6 x + 13/2

y = f(x) has the derivative f'(x) = (x + 1)²(x + 3)(x² + 2mx + 5) with ∀x∈i.
find m so that g(x) = f(|x|) has exactly 1 extreme point

Answers

9514 1404 393

Answer:

  m ≥ -√5

Step-by-step explanation:

If g(x) = f(|x|) for x∈i, then g(x) = f(x) for x∈ℝ: x ≥ 0.

f'(x) is 5th-degree, so f(x) is 6th-degree, meaning it is generally U-shaped. Since we're only concerned with x ≥ 0, we want to make sure f'(x) has no real zeros of odd multiplicity such that x > 0. The given factors of f'(x) make it have real zeros at x = -3 and x = -1.

For the last factor, (x² +2mx +5) to have no positive real zeros of odd multiplicity, we must have m ≥ 0 or the discriminant ≤ 0. The discriminant is ...

  d = b² -4ac = (2m)² -4(1)(5) = 4m² -20 . . . . . discriminant of the last factor

  d ≤ 0 . . . . . . . . . . the condition for no real zeros

  4m² -20 ≤ 0

  m² -5 ≤ 0 . . . . . . divide by 4

  m² ≤ 5 . . . . . . . . .add 5

  |m| ≤ √5 . . . . . . . take the square root

This tells us there will be a positive real zero of multiplicity 2 in f'(x) when m = -√5, and there will be no positive real zeros for -√5 < m < 0

There will be no odd-multiplicity positive real zeros in the derivative function f'(x) as long as m ≥ -√5. This means the slope of f(x) is non-negative for x ≥ 0, hence f(|x|) has its only minimum at x=0.

_____

Additional comment

The multiplicity of the zeros of f'(x) is important because the derivative will only change sign where the multiplicity is odd. When the discriminant of (x²+2mx+5) is zero, the associated positive real zero will have multiplicity 2, hence f'(x) will not change sign there.

You are making a window frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly. One angle needs to be (2x + 14)° and the other angle needs to be (3x +11)° . What is the measure of the larger angle? *

Answers

Answer:

90 degress

Step-by-step explanation:

2x+14+3x+11=90

5x+25=90

5x=65

x=13

2(13)+14+3(13)+11+ X = 180

26+14 + 39 + 11 + X = 180

40+50+x=180

90+x=180

x=90

Your other angle is 90 degrees.

does anyone know how to do this?

Answers

Answer:

100

Step-by-step explanation:

I thinks it 100 cuz 15x20= 300 and ⅓ of 300 is 100

15×20 = 300

1/3 × 300 =100

Step-by-step explanation:

15 rows multiplied by 20 seats to find out total number of seats and then you multiply by a third to find one third of the total seats

A package of 8 hot dogs is on sale for $4.00. What is the price per hot dog?

Answers

each hot dog is 50 cents. Because .50+.50+.50+.50+.50+.50+.50.50=4 We know each hot dog is worth .50 cents because a pack of 8 HD cost $4 so each HD would need to cost less that a dollar. hope this helps!

Answer: $0.50

Step by Step Explanation:

$4/8 = 0.5

What are the values of w and x?

Answers

Answer:

10x = 60. Given: 10x = 60. X = 60/10. X = 6. Therefore, the value of x is 6.

Step-by-step explanation:

the value of x is 6 and the value of w is 14

Divide -2 1/9 ÷ 7 3/5. Explain each step you used to find the quotient

Answers

Answer:I am not sure.

Step-by-step explanation:

Which one is the larger average rate, -3.142 or -0.5?

Answers

Answer:

The answer to this question is -3.142

-3.142 is the larger average rate

Please please help please please help me please please help please please help me please please help please please AND SHOW YOUR STEPS PLEASE HELP ME PLEASE PLEASE

Answers

Answer:

Step-by-step explanation:

a)  Sum = - 6

Product = - 16

Factors = (-8) ; (2   {-8 + 2 = -6  ; (-8) * 2 = -16}

y = x² - 6x - 16

     = x²  + 2x - 8x - 16

     = x(x + 2) - 8(x + 2)

    = (x +2)(x -8)

b) y = 0

(x +2 )(x -8) = 0

x + 2 = 0  ;   x -  8 = 0

x = -2       ;  x = 8

(-2) ; 8 are the zeros.

Jennifer pays $12.50 a month for Amazon Prime and pays extra every time she rents a movie. One month she rented 1 movie and paid $17.75. Another month she paid $49.25 and rented 7 movies.

Answers

Answer: y=5.25x+12.50

Step-by-step explanation:

The original 12.50 is how much she pays each month regardless of rented movies, it is the 0 value and doesn't change. Each rented movie costs 5.25 (17.75-12.50=5.25) and that value would be multiplied by the amount of movies she rents that month, and then added onto the original base value.

First of all to find out how much each movie cost .
17.75-12.50 = $5.25
So Jennifer paid one month $12.50 for Amazon Prime plus $5.25 = $17.75
Next month 5.25 x 7 movies = $36.75 plus 12.50 for Amazon Prime = $49.25
So to recap : one month pays $12.50 for Prime and $5.25 for one movie . Next month paid $12.50 for Prime and 7 movies totalling $36.75

Can you help work question number 4 please?

Answers

Angle C is 76 degrees
Angle D is 52 degrees

Step-by-step explanation:

if 2 sides are equal which means it is an Isosceles triangle

so,

52 + 52 + c = 180

104 + c = 180

c = 180 - 104

c = 76°

d = 52°

hope this answer helps you dear! take care and may u have a great day!

How many x-intercepts would the function shown below have?
f(x) = x²(x + 4)(x + 4)

Answers

Answer: 2

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Step-by-step explanation:

Write the equation of the line in fully simplified slope intercept form

Answers

Answer:

y = -x + 8

Step-by-step explanation:

In writing an equation of a line, keep in mind that you ALWAYS need the following information in order to establish a linear equation:

1. 2 ordered pairs (x,y) on the line

2. Slope

We'll use points (1, 7) and (0, 8).

Let (x1, y1) = (1, 7)

(x2, y2) = (0, 8)

Now that we have the two ordered pairs, substitute their values into the following slope formula:

m = (y2 - y1)/(x2 - x1)

m = (8 - 7) / (0 - 1)

m = 1 / -1 = -1

Therefore, the slope of the line, m =  -1.

Next, we need to determine the y-intercept, (b).  The y-intercept is the y-coordinate of the point (0, b ) where the graph crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at the graph, we can see that it crosses the y-axis at point (0, 8). We used this point earlier to solve for the slope. The y-intercept, b = 8.

Therefore, the linear equation in slope-intercept form is: y = -x + 8.

Please mark my answers as the Brainliest if you find this helpful :)

Answer:

y = –x + 8

Step-by-step explanation:

the line is negative and decreasing by –1/1 (rise over run is the slope). a slope of 1 can be represented by writing "x". in this case the slope is –x. the b in mx+b represents the y-value that the graph starts at. in this it starts at 8.

How many geometry teachers does it take to change a light bulb

Answers

Answer:

Im not sure I think 1 because it's not that hard

If x= -2, and y=3, then what is the value of
x^3y+ xy3?

Answers

Answer:

4

Step-by-step explanation:

lol

Answer:

-42

Step-by-step explanation:

Hope it helps!

Math need help I’m tired

Answers

i'm thinking infinitely.

i'm not 100% sure maybe someone else may correct me .

Expand and simplify 2(3x - 4) - 2(x - 5)

Answers

Answer:

(6x-8)-(-2x-10)

4x-18

Please help answer a-d

Answers

Answer:

a) 4 to the 14th power

b) 12 to the 9th power

c) 5 to the 7th power

d) 7 to the 3rd power

Step-by-step explanation:

a) [tex]4^{6}[/tex] · [tex]4^{8}[/tex] equals 4 to the 14th power.

Using the Product Rule of Exponents:

[tex]a^{m} a^{n} = a^{m+n}[/tex]

You could add the exponents since they have the same base.  

b) [tex]12^{6}[/tex] · [tex]12^{3}[/tex]  equals 12 to the 9th power.

Same Product Rule applies as we did in problem a).

c) [tex]\frac{5^{10} }{5^{3} }[/tex]  equals 5 to the 7th power.

Using the Quotient Rule of Exponents:

[tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]

You'll have to subtract the exponents since they have the same base.

[tex]\frac{5^{10} }{5^{3} } = 5^{10 - 3} = 5^{7}[/tex]

d) [tex]\frac{7^{6} }{7^{3} }[/tex]  equals 7 to the 3rd power.

Same Quotient Rule applies as we did in problem c).

[tex]\frac{7^{6} }{7^{3} } = 7^{6 - 3} = 7^{3}[/tex]

What is 2,967 by 21 estimate

Answers

Answer:

60,000

Step-by-step explanation:

2,967 can be rounded to 3,000

21 can be rounded to 20

3,000 x 20 = 60,000

which asymptotes are determined by looking at the denominator

Answers

9514 1404 393

Answer:

  vertical

Step-by-step explanation:

A rational function often tends to infinity when its denominator tends to zero. Thus the zeros of the denominator correspond to vertical asymptotes.

Charlotte bought 25 cookies to share with her class, and 5 of them are oatmeal raisin. What percent of the cookies are oatmeal raisin?

Answers

Answer:

20%

Step-by-step explanation:

25 divided by 5 = 5

Convert to decimal

0.20

Convert to percentage

20%

Answer:

20%

Step-by-step explanation:

25 divided by 5=5

convert to decimal

0.20

convert to percentage

20%

The map shows a linear section of Highway 35. Today, the Ybarras plan to drive the 360 miles from
Springfield to Junction City. They will stop for lunch in Roseburg, which is at the midpoint of the trip. If they
have already traveled 55 miles this morning, how much farther must they travel before they stop for lunch?
a. 125 mi
b. 145 mi
c. 180 mi
d. 305

Answers

(C) 180 mi
May be helpful for you

They must travel 125 miles farther before they stop for lunch and option A is the correct answer.

We have,

The total distance of the trip is 360 miles.

They plan to stop for lunch at the midpoint of the trip, which is

360 / 2 = 180 miles.

Now,

They have already travelled 55 miles this morning.

To find out how much farther they must travel before stopping for lunch, we subtract the distance travelled from the midpoint:

180 - 55

= 125 miles.

Thus,

They must travel A. 125 miles farther before they stop for lunch.

Learn more about midpoints of line segments here:

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Violet bought snacks for her team's practice. She bought a bag of popcorn for $3.29 and a 15-pack of juice bottles. The total cost before tax was $27.14. Write and solve an equation which can be used to determine j, how much each bottle of juice costs.

How do you write an equation for this?

Answers

Answer:

popcorn 3.29$

popcorn + 15 pack juice = 27.14$

Step-by-step explanation:

15 pack juice= 27.14-3.29

15 pack juice=23.85

pack of juice=23.85/15

pack of juice=1.59$

The equation that shows the cost of each bottle of juice is 15j + 3.29 = 27.14 and the cost of each juice is $1.59

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let j represent the cost of each bottle of juice. The total cost before tax was $27.14, hence:

15j + 3.29 = 27.14

j = 1.59

The equation that shows the cost of each bottle of juice is 15j + 3.29 = 27.14 and the cost of each juice is $1.59

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construct equation
i think of a number multiplied by 5 added by 6 the answer is 41
can any show me working

Answers

Step-by-step explanation:

(x × 5) +6=41

5x + 6=41

5x =41-6

5x=35

x=(35/5)

x=7

expres in simplest form:

Answers

Answer:

5x2+8x-6

the 2 is little

Answer:

5[tex]x^{2}[/tex] - 10

Step-by-step explanation:

(3[tex]x^{2}[/tex] + 4x - 8) - (-2[tex]x^{2}[/tex] + 4x + 2) = 3[tex]x^{2}[/tex] + 4x - 8 + 2[tex]x^{2}[/tex] - 4x - 2

                                              = 5[tex]x^{2}[/tex] - 10

Hope this helps :)

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