A home security company provides security systems for $6 per week, plus an installation fee. The total fee for 10 weeks of service is $345. Write and solve a linear equation to find the cost of the installation fee.

Answers

Answer 1

Answer: $285

Step-by-step explanation:

Let the installation fee be represented by x.

Therefore, the equation to solve the question will be:

= x + 6w

where,

x = installation cost

w = number of weeks

x + 6w = 345

x + 6(10) = 345

x + 60 = 345

x = 345 - 60.

x = 285

Therefore, the installation fee is $285


Related Questions

A manager records the number of projects employees complete in one month. If the manager wants to summarize the data, which two statements are true?

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.
The manager should use a measure of center to summarize how the number of projects employees complete differs.
The manager should use a measure of center to summarize the typical number of projects an employee completes.
The manager should use a measure of variability to summarize how the number of projects employees complete differs.
The manager should use a measure of variability to summarize the typical number of projects an employee completes.

Answers

Answer:

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.

Step-by-step explanation:

5 b.) Bill swims 2/3 of a lap in 7 minute.
What is his speed in laps per minute?

Answers

Answer:

.095 laps per minute (if you need this answer as well 10.5 minutes per lap)

Step-by-step explanation:

(2/3)/7 =.095238 this is laps per min

7/(2/3)= 10.5 this is minutes per lap

I hope this is what you were looking for.

A bubble may be enclosed in a square whose side
length is equal to the bubble's diameter. Four bubbles
in squares collide and merge into one large bubble in
a square. The area of the large bubble is equal to the
sum of the areas of the small bubbles. How is the side
length of the large square related to the side length of
one small square?

Answers

Assume 1 small bub side = 2cm

area = 2 × 2

= 4 cm²

total area of small bub

4 × 4 = 16cm²

area of big bub = total area of small bub

= 16cm²

one side of big bub

16 ÷ 4 = 4

1 small bub side : 1 big bub side

2 : 4

1 : 2

the side length of the large square is 2 times bigger than the side length of one small square.

Susan read 130 pages of a book in 2.5 days. If she read the same amount each day, how many pages did she read each day ?

A 5.2
B 5.6
C 52
D 56

Answers

Answer:

c.52

Step-by-step explanation:

if susan reads 130 pages in 2.5 days then we have to divide 130 and 2.5 which gives us 52 which kinda means she reads 52 pages per day i hope that clear

There are 640 calories in 4 scoops of ice cream. At this rate, how many calories would there be in 9 scoops of ice cream?

Answers

Answer:

1,440 calories

Step-by-step explanation:

Divide 640 by 4 to get how many calories there are per scoop.

640 calories ÷ 4 scoops = 160 calories per scoop

Then, we can multiple 160 by 9 to get the calories in 9 scoops.

160 calories per scoop × 9 scoops = 1,440 calories per 9 scoops

Answer:

1,440‬

Step-by-step explanation:

19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2

Answers

Answer:

4

Step-by-step explanation:

First, solve for x:

4 + 2(3x - 4) = 8

4 + 6x - 8 = 8

6x = 12

x = 2

Now, plug x into 4x - 4:

4(2) - 4 => 8 - 4 = 4

it's has to be 4 my friend did it and she said she got it right hope this helps

Select All the correct answers. Select all the statements that are true for the following systems of equations. System A 2x - 3y = 4 4xy18 System B 3x - 4y = 5 y = 5x + 3 System C 2x-3y и 4 12x-3y 54 System C simplifies to 2x-3y 4 and 4x y 18 by dividing the second equation by three. O Systems A and C have the same solution D Systems A and B have different solutions. Systems B and C have the same solution All three systems have different solutions.​

Answers

Answer:

hi

Step-by-step explanation:

Answer:

The true statements are:

the first statement: Systems A and C have the same solution

the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18

the fifth statement: Systems A and B have different soltuoins.

Explanation:

1) The first statement: systems A and C have the same solutiotn: TRUE

The fourth statement proves that that the two systems are equivalent which means that both have the same solution.

2) The second statement: All three systems have different solutions: FALSE

The fourth statement proves that the systems A and C have same solution, so this second statement is false.

3) The third statement: Systems B and C have the same solution: FALSE

You can solve the two systems and will find the solutions are different

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2

=> solution x = -1 and y = -2

Solution of system C.

2x - 3y = 4

12x - 3y = 54

subtract

4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE

Look:

Second equation of system C = 12x - 3y = 54

Divide by 3:

12x - 3y     54

----------- = -----

    3           3

Distributive property:

12x      3y      

------ - ----- = 18

  3        3

4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.

5) The fifth statement: systems A and B have different solutions: TRUE

You can solve the two systems and will find the solutions are different

Solution of system A:

 2x - 3y =  4      

12x - 3y = 54           since it is equivalent to 4x - y =  18

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

12x - 2x = 54 - 4      subtracting the first equation from the secon

10x = 50                  adding like terms

x = 5                        dividing by 10

From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6

=> y = 6 / 3 = 2

=> x = 5, y = 2

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

Which is enough to prove that the two systems have different solutions.

There is supposed to be a 5 at the end PLEASE HELPPPPPPPPPPP ​

Answers

Answer:

D

Step-by-step explanation:

You basically just add the numbers where x is. I tried it with 5 and both equalled 28. Using 5 as x makes the equation equal which is what we are looking for. So the answer is x=5.


a.55.48.27.12.0
b.62.40.9.3.25.
c.1.8.13.29.42.
d.15.34.0.7.28
of the following shows an arrangement of an integer from least to greatest ​

Answers

Answer:

C

Step-by-step explanation:

a) 55 > 48 > 27 > 12 > 0 ×

b) 62 > 40 > 9 > 3 < 25 ×

c) 1 < 8 < 13 < 29 < 42 ✓

d) 15 < 34 > 0 < 7 < 28 ×

Brand XYZ dog food cost $36 for 15 pounds of dog food. What is the cost per pound?

Answers

Answer:

2.4 per pound

Step-by-step explanation:

36÷15=2.4

how do i know this i used my brain

For the graph shown, the slope is changed to 1/5, but the y-intercept remains the same. What is the resulting equation for the new graph?
A)y = x + 15
B)y = x - 15
C)y = 15x + 1
D)y = 15x - 1

Answers

Answer: C. y=1/5x+1

Step-by-step explanation:

Select all the correct descriptors for the relationship

Answers

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

Coordinates of D → (2, 2)

Coordinates of E → (1, 6)

Coordinates of F → (5, 7)

Coordinates of G → (6, 3)

Length of ED = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(2-1)^2+(2-6)^2}[/tex]

                      = [tex]\sqrt{17}[/tex]

Length of FG = [tex]\sqrt{(5-6)^2+(7-3)^2}[/tex]

                      = [tex]\sqrt{17}[/tex]

Length of GD = [tex]\sqrt{6-2)^2+(3-2)^2}[/tex]

                       = [tex]\sqrt{17}[/tex]

Length of EF = [tex]\sqrt{(1-5)^2+(6-7)^2}[/tex]

                     = [tex]=\sqrt{17}[/tex]

Since, all sides of the given quadrilateral are equal in length, quadrilateral will be a square.

Therefore, diagonals EG and DF will be perpendicular, equal in measure, congruent and will bisect each other.

Options (1), (3) and (5) are the correct options.

Use the net to find the surface area of the pyramid

Answers

Answer:

56

Step-by-step explanation:

5ft x 4ft = 20ft / 2 = area =10     10 x 4 triangles = 10 x 4 = 40 + square= area, so 4 x 4 = 16 + 40 = 56ft

Hope this helps!

A set of 25 cards are shown.
what is the probability of choosing a card with a sheep on it?

Answers

Answer:

probability of choosing a card with a sheep on it will be 12.5 out of 25

Hope it helps

Please mark me as brainliest

Thank you

The probability would be 12.5 out of 25

Maths homework volumes anyone can help?

Answers

Answer:

1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......

Step-by-step explanation:

look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9

b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5

c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearly


[tex]3 \sqrt{ - 125 - ( - {5)3}^{?} } [/tex]

Answers

Wait I can’t solve it because of the “3^?” Can you fix that?
I think the answer to your question is 75

5,574 mg= how many grams?

Answers

Answer:

5.574 grams

Step-by-step explanation:

Answer:

The answer is 5.574 grams

Step-by-step explanation:

1. Which of the following moving at the same speed, wouldbe hardest to stop?*
(12 points)
car
bus
Frisbee
stroller

Answers

Answer:

Bus

Step-by-step explanation:

If the bus has the most weight than the force it would edmit would be greater than any other

I might just post the whole packet cuz I’m not smart enough to understand what the hecc is going on ;-;

Answers

Answer:

It would be the fourth choice.

in your own words, describe what a horizontal asymptote is ?​

Answers

Horizontal asymptotes are horizontal lines the graph approaches.

Please help this is timed!!

Answers

Answer:

can i see the rest of the problem...

Step-by-step explanation:

4x + 7y = 12
-8x - 14y = -24

Answers

Answer:

x = 3

y = 0

Step-by-step explanation:

4(3) + 7(0) = 12

-8(3) - 14(0) = -24

I NEED YOUR OPINION PLEASE

okay , so I am 13 years old . I had gotten my cartilage pierced on both ears for my 13th birthday. Fast foward, I had asked my mom if I could get another cartilage piercing and my tragus pierced . She told me to ask my father. I did not . So I had pierced my tragus and my cartilage on my ear .. And my mom nor my dad has no clue I done it .

I just feel guilty hiding it from them , more so my mom ..


Can anyone give me advice on how to tell them PLEASEEEEEEEEEE

Answers

You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.

A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!
*edit: I know the answer to the problem because it was said aloud in a class, but I am not sure the steps to get there!

Answers

Answer:

[tex](x+1)(17a-1)[/tex]

Step-by-step explanation:

We are given that

[tex]17ax+17a-x-1[/tex]

We have to factorize the given expression.

Pair up the terms

[tex](17ax+17a)+(-x-1)[/tex]

Now, taking common factor

[tex]17a(x+1)-1(x+1)[/tex]

Taking common (x+1)

[tex](x+1)(17a-1)[/tex]

Now, we get

[tex](x+1)(17a-1)[/tex]

This is required factors of given expression.

A factory produces 80,000 candies each day.They produce equal quantity of four flavors:cherry,lemon,orange and strawberry. The candies are mix together during packaging. What is the probability of selecting orange.

Answers

Answer:

1 /4

Step-by-step explanation:

Total number of candies produced per day = 80,000

Number of flavors made = 4

Since the number of each flavor produced are equal ;

Number of each flavor produced :

80000 /4 = 20000

Probability of selecting orange flavor :

Number of orange flavor / total candies produced

= 20000 / 80000

= 1/4

y= 1/2x - 1
what's the slope and intercept. ​

Answers

Answer:

The slope is 1/2. The x-intercept is (2,0). The y-intercept is (0,-1)

Answer:

The slope is 1/2x and -1 is the (y) intercept

Step-by-step explanation:

Since y= 1/2x - 1 is already a linear equation (y=mx+b) you can use y=mx+b to find the slope and (y) intercept.

m is the slope and b is the intercept

In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x

A, 8
B. 6
C. 10
D-10

Answers

Answer:

Option A. 8 will be your answer

Step-by-step explanation:

hope it helps you

have a great day!!!

Jaime drew the number line below to show 2/3 4/5. Explain how the number line shows 2/3 times 4/5. What is the product?

Answers

Answer:

[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3} * \frac{4}{5} =[/tex]

The number line is missing from the question.

So, I will answer the question and also draw the number line to show the product.

[tex]\frac{2}{3} * \frac{4}{5} =[/tex]

[tex]\frac{2}{3} * \frac{4}{5} = \frac{6}{15}[/tex]

To represent this on a number line;

We draw a number line of 15 points, and place a dot on the 6th point.

This represents 6/15

See attachment

mr. jaw needs 1 bag of sand for every 5 square feet of the sandpit. of bags of sand cost $8 each, about how much will mr. jaw spends on sand use ~ 3.14

Answers

Answer:

$125.60

Step-by-step explanation:

3.14*5 = 15.7

15.7*$8 = $125.60

HOPE THIS HELPS!!!! <3333

-Silver

pls help! will mark brainliest if correct

Answers

I dont know what is it sorry but I try the love yaaysya

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