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

Which ratio is smaller, 32 : 24 or 30 : 22?​

Answers

Answer:

32 : 24 is smaller

Step-by-step explanation:

32 : 24 = 32/56, reduced is 4/7

30 : 22 = 30/52, reduced is 15/26

a common denominator is 182:

4/7 = 104/182

15/26 = 105/182

32:24 -> 30:22

You need to get one number from each ratio to be equal

I’m gonna get 32 and 30 to equal

*first divide both ratios by 2(don’t have to do this just makes the no.’s smaller)
32:24
16:12

30:22
15:11

Multiply 16:12 by 15
And multiply 15:11 by 16

32:24 -> 16:12 -> 240:180
30:22 -> 15:11 -> 240:176

176<180
Therefore ratio 30:22 is smaller

the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units​

Answers

Answer:

Center (6, -3)

Radius 5

Maddy's fourth grade class is going on 5 field trips. Each has a fee of $12.10. Sack lunches for each trip are an additional $2.75. Round each amount to the nearest dollar to find an estimate for the cost of all 5 trips.

Answers

Answer:

12.10+2.75=

14.85x5=

74.25 or

75

Step-by-step explanation:

hope this helps

The answer to this question is 75

Please its really urgent, step by step working out

Answers

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?

Answers

Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5

what is the formula for area

Answers

area of rectangle = length×breadth

area of square = side×side

1. Consider the circle to the right,

Part A: Determine mzSBE.

Part B: Determine mob.

S

52

B

Answers

Answer:

m∠SBE = 26°,  [tex]m\hat O B[/tex] = 126°

Step-by-step explanation:

The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.

Also, the angle at the center is twice the angle at the circumference.

Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)

2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)

2 * m∠SBE = 52

m∠SBE = 26°

2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)

2 * 63 = central angle

central angle = 126°

Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)

(3x)²×-3x³ simplify nd give answer in positive exponets​

Answers

Answer:

−27x5

Step-by-step explanation:

Answer:

6x^3

Step-by-step explanation:

Please help due today

Find the slope of the line that passes through each pair of points (0,1),(2,5)

Answers

Answer:

2

Step-by-step explanation:

y2-y1 = 5-1 =4

x2-x1= 2-0 =2

4/2=2

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - 1}{2 - 0} \\ = \frac{4}{2} \\ = 2[/tex]

#CMIIW

how do you solve fire x.

Answers

Answer:

x = 10

Step-by-step explanation:

Sum of all the angle of triangle = 180

71 + 50 + 6x - 1 = 180

71 + 50 -1 + 6x = 180

    120  + 6x   = 180

            6x = 180 - 120

           6x = 60

             x = 60/6

x = 10

HELPPPPPPPP TQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ

Answers

Answer:

Area = 120

Step-by-step explanation:

Triangle formula:

[tex]\frac{1}{2}[/tex](b x h)

Given:

[tex]\frac{1}{2}[/tex](10 x 24)

Multiply 10 and 24 to get 240.

10 x 24 = 240

Divide 240 and 2 to get 120.

240 ÷ 2 = 120

So answer is 120.

Match each statement (term) with its value in relation to 0 (definition). Match Term Definition A building is 35 feet tall. A) –7.6 The scuba diver was 35 feet below sea level. B) −35 The basement is 7.6 feet below ground. C) 2.3 Oliver owes his sister $23. D) 35 Erica jumped 2.3 feet above ground. E) –23

Answers

I’m not sure but I can see look like it’s c 2.3 Oliver if it’s was correct thank me

David bought a bicycle for $75.00. If he sold it for 20% of the original price, how
much did he sell it for?

Answers

Answer:

$15

Step-by-step explanation:

75.00(0.20) = $15

give me a decimal to divide, substract and multiply. (3 of each)​

Answers

Answer:

Step-by-step explanation:

0.34/ 0.14

0.621/ 0.512

0.536/ 0.612

0.64 - 0.12

0.12 - 0.36

0.59 - 0.25

0.5123 x 0.51232

0.593920 x 0.0591923

0.59129 x 0.5919232

373 students went on a field trip. Seven buses were filled and 16 students traveled in cars. How many
students were in each bus (b)? The variable should always go in the first term.

Answers

Answer: 35

Step-by-step explanation:

Answer:

There were 54 children in each bus.

Step-by-step explanation:

How do I solve this?
-1/3+y=1

Answers

Answer:

y=-3

Step-by-step explanation:

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

Answer to equation:

y = 1 1/3

Step-by-step explanation:

for this problem we see that we are starting below 0 and going up to one, all we have to do is solve for the distance between the two numbers, as shown

(-1/3) + 1/3 = 0

0 + 1 = 1

now to simplify, we just add the total amount of change between the two numbers

1/3 + 1 = 1 1/3

NOTE: this can be done by just adding the absolute value of each number if one is a negative number and one is a positive number, wich is basically what i did

-1/3 = |1/3|

1 = |1|

|1/3| + |1| = |1 1/3| or total amount of change

but if you are working with two positive or two negative numbers, then subtract the lesser of the two absolute values as so

-2 + x = -5

-2 = |2|

-5 = |5|

|5| - |2| = |3|

3 = amount of change

3 = x

-2 + -3 = -5

both sum of three consecutive integers is 108 what are the three integers ​

Answers

Answer:

35 , 36 , 37

Step-by-step explanation:

Let the consecutive integers be x, (x + 1) , (x +2)

x + x + 1 + x +2 = 108

x + x + x + 1 + 2 = 108          {Combine like terms}

     3x + 3   = 108          {Subtract 3 from both sides}

             3x = 108 - 3

            3x = 105            {Divide both sides by 3}

              x = 105/3

               x = 35

The three integers are, 35 , 36 , 37

Plz help


what are the slope and y-intercept of the linear function that is represented by the graph
A- the slope is -4/3 and the y-intercept is 3
B- the slope is -4/3 and the y-intercept is 4
C- the slope is -3/4 and the y-intercept is 3
D- the slope is -3/4and the y-intercept is 4

plz help this is a timed test​

Answers

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3

Step-by-step explanation:

How many males represented in the Venn diagram below have brown hair or brown eyes?

A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.

74


22


56


34

Answers

Answer:

I got this answer right its 56

Step-by-step explanation:

I got this question right

Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74

Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18

Number with brown eyes or brown hairs :

Brown eyes + Brown hairs + Both brown hairs and brown eyes

(34 + 22 + 18) = 74

Therefore, 74 males have brown eyes or brown hairs

Learn more : https://brainly.com/question/17225268

Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 16 blue and 4 green beads. Based on these results, what is most likely the number of blue beads in the bag?

a.10

b.20

c.30

d.40

Answers

Answer:

d

Step-by-step explanation:

-3|x|+2x-1 if x=-5
i need help with this or else i will not get my computer

Answers

Answer:

-26

Step-by-step explanation:

Hello There!

For this problem all we have to do is plug in -5 into x and calculate the value

so..

-3|-5|+2(-5)-1

so first things first | | means absolute value

The absolute values of -5 is 5 so the equation would be

-3(5) + 2(-5) - 1

-3*5=-15

2*-5=-10

-15-10=-25

-25-1=-26

so the answer would be -26

If John's present age is 3x years and Jane is twice his age, what will be the
sum of their ages in 5 years' time? *

Answers

Answer:

i think its 30x

Step-by-step explanation:

3x2=6

6x5=30

Answer:

9x+10

Step-by-step explanation:

JOHN=3X JANE=6X THEIR COMBINED AGE IN 5 YEARS WILL BE 3X+5+6X+5 OT 9X+10

Which expression is equivalent to

Answers

Answer:

B

Step-by-step explanation:

Help meh plzzzzzzzzzzzz!!!!!!!!!

Answers

Answer:

1. a 2. d 3. c 4. d 5. b

Step-by-step explanation:

HELP ILL MARK AS BRAINLIEST what’s the volume?

Answers

Answer:

I think 324. Please tell me if wrong. I will try again.

Step-by-step explanation:

9*12*6=648

648/2=324

does 13, 12, 6 form a pythagorean triple?

Answers

Answer:

No

Step-by-step explanation:

the pythagorean theorem is

a^2+b^2=c^2

These numbers do not fit in these terms

Answer:

It doesn't.

Step-by-step explanation:

In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²

Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)

6² = 36

12² = 144

36 + 144 = 180

Now, we have to find if ti equals c². 13² equals 169

Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.

The radius of a circle is 13 feet. What is the circle's area?
Use 3.14 for pi.pleeeaaase heelpp!!

Answers

Answer:

answer is 530.66 hope this helps!

13×13=169

169×3.14=530.66

Answer:

I don't know if this is the answer but I got 530.66

Step-by-step explanation: the formula is A=pi r squared

you multiply 13 twice because in the formula you have to square the radius then you have to multiply what you get in this case 169 then you multiply it by pi which is 3.14 by 169 and you get 530.66 hopefully it is right let me know and if so brainliest please:)

Which expression is equivalent to 3(6+p) ?

Answers

Answer:

18 + 3p

Step-by-step explanation:

Using distributive property:

3(6+p)

18 + 3p

which set of sides will NOT make a triangle?
19cm 14cm 7cm
11cm 13cm 3cm
12cm 7cm 5cm
2cm 3cm 4cm

Answers

Answer:

12cm 7cm 5cm

Step-by-step explanation:

Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.

A bird drops a stick to the ground from a height of 92 ft. The function
h= -167 +92 gives the stick's approximate height h above the ground, in feet,
after t seconds. Graph the function. At about what time does the stick hit the
ground? Use inequalities to describe a reasonable domain and range for the
function.

Answers

Answer:

B

Step-by-step explanation:

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