20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer 1

Answer:

[tex]the \: slope \: is \to \boxed{60}[/tex]

Step-by-step explanation:

[tex]if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}[/tex]

Answer 2

We want to analyze the given linear equation, we will find that the slope is 60, and it means that he charges 60 per hour.

Linear equations:

A general linear equation is written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

In this case, we have the equation:

c(t) = 60*t + 65

Is easy to identify that the slope is equal to 60.

Given that we know that he charges per hour, and that t represents the number of hours that the electrician worked, we can assume that the slope represents how much the electrician charges per hour.

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Related Questions

Please solve the problem below

Answers

You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf

find the value of p​

Answers

p= 20 ive had this question before

Answer:

Let's take the angle LEFT to p to be "x".

80+30+x = 180

110+x = 180

x = 70

Finding p:

90+70+p = 180     (REASON: linear pair)

160+p = 180

p = 20

THEREFORE, THE VALUE OF 'p' IS 20°


ANSWER ASAPPP!!!!!!!!!!! please

Answers

Answer:

Neither.

Step-by-step explanation:

Note that both images are a backwards "L".  If it was a reflection in the y axis, one would be an "L".

Answer:

neither

Step-by-step explanation:

No, this is not a reflection.

ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD

Answers

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

The required measure of m ABD is 23.

What are linear pair of angle?

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Now it is given that,

m ABD = 6x - 12 and m CBD = x + 31

Since, ABD and CBD form a linear pair

m ABD + m CBD = 180°

6x - 12 + x + 31 = 180°

7x + 19 = 180°

⇒ 7x = 180° - 19

⇒ 7x = 161

⇒ x = 161/7

⇒ x = 23

Thus, the required measure of m ABD is 23.

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Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother. How old was the older sisters when the younger sister was born?

Answers

Given:

Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother.

To find:

The age of older sister at the time when the younger sister was born.

Solution:

Let the age of Teddy be x.

One sister is 3 years younger than Teddy.

Age of one sister = x-3 years

The other one is 7 years younger than her only brother. It means other sister is 7 years younger than Teddy.

Age of other sister = x-7 years

Clearly (x-3) > (x-7). So, difference between the ages of sisters is

[tex]Difference=(x-3)-(x-7)[/tex]

[tex]=x-3-x+7[/tex]

[tex]=4[/tex]

Therefore, the age of older sister is 4 years when the younger sister was born.

Answer:

d

Step-by-step explanation:

Brian and leo are purchasing food at the snack bar. Brian purchases a hot dog for $2.35, chips for $1.65 and a drink for $2. Leo purchased a hamburger for $3, fries for $2.45 and a drink for $2. How much did they spend altogether on food?

Answers

Answer:

$13.45

Step-by-step explanation:

add all of the money:

2.35+1.65=4

2+3=5

2.45+2=4.45

add 4, 5, and 4.45 together

13.45

Which is $13.45

does the equation y = x represent a function

Answers

Yes it's a linear function

Answer:

Yes since x only equals y, which is one solution.

Step-by-step explanation:

Can someone check this for me! I am not sure if I did this right

Answers

9514 1404 393

Answer:

  8 seconds

Step-by-step explanation:

Your answer is the time interval at which the projectile is at or above ground level.

The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.

__

Comment

We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

How many miles does the first cyclist bike in 45 minutes?

Answers

Answer: 9 miles

Step-by-step explanation: 12 mph/60 so you can get mpm(miles per minutes)

Multiply the 0.2x45 (0.2 from 12/60 and 45 from how long the first biker had ridden on his bike)

Answer 9 miles  

please help me guys this is the question 1) solve 1/3 ( x+y-5) = y-z = 2x-11=9-(x-2z)​

Answers

Answer:

1/3(x+y-5)=y-z=2x- 11=9-(x+2z)

Step-by-step explanation:

1/3(x+y-5)=y-z=2x-11=9-(x-2z)

(x+y-5)=3y-3z=6x-33=37-2(x-2x)x+y-5=3y-3z=6x-33=37-3x+6zx-6x+3x=3y-y=-3z-6z=37+33-2x=3y=-9z=70.

A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 . Find the probability that a single randomly selected value is less than 149.6. P(X < 149.6) =

Answers

Answer:

P(x < 149.6) = 0.11821

Step-by-step explanation:

We start by calculating the z-score of the parameter given

Mathematically,

z-score = (x-mean)/SD/√n

z-score = (149.6-152.8)/26.2/√94

z-score = -3.2/2.70

z-score = -1.18

So the probability we want to calculate is;

P( x < -1.18)

we can use the standard normal distribution table to get this

From the standard normal distribution table, this value is 0.11821

0.0000000043 estimated to the power of ten

Answers

Answer:

4.3 x 10^-9

Step-by-step explanation:

Convert to base 10 and move decimal 9 to right

Please I’m really confused which one it is please help

Answers

Answer:

The top one on the left

Step-by-step explanation:

If an equilateral triangle has a side lengths of 8 units , what is the height of the triangle

Answers

Answer:

8

Step-by-step explanation: each side is equal so 8

The height of the equilateral triangle for the given side length is equal to ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).

In an equilateral triangle, the height is the line segment perpendicular to one side of the triangle and passing through the opposite vertex.

For an equilateral triangle with side length "s," the height "h" can be calculated using the formula:

h = ( √3 / 2) × 8

Where "s" is the side length of the equilateral triangle.

Here, the side length of the equilateral triangle is given as 8 units.

So, substituting the value of "s" into the formula:

⇒ h = ( √3 / 2) × 8

⇒ h = ( 8√3 / 2)

⇒ h = ( 4√3 ) units

Therefore, the height of the equilateral triangle is ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).

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1. A = {ANKARA}
B = {}, C={Haftanın A harfi ile başlayan günleri}
ise s(A) + S(B) + s(C) toplamı kaçtır?

Answers

Answer:

Step-by-step explanation:

the anser is 4

The cost to produce t shirts for the Mock Trial team to sell for a fundraiswer is $35 for the design and $5.50 for each t shirt. The team members plan to sell the t shirts for $10 each. What is the break even point ( number of t shirts and cost at the break even point)?

Answers

Answer:

9 t-shirts are needed to be sold to break even

Choose the lowest common denominator.
2 3 4 5 6 8 10 12

Answers

2
step-by-step explanation

What is the vertex of the graph?

Answers

Answer:

The point (x, y) → (-5, 0) is the vertex of the graph.

Step-by-step explanation:

As the given graph represents Parabola

As we know that Parabolas always contain the lowest point, or the highest point if any given parabola is upside-down. This lowest or highest point is the location where the parabola tends to change its direction and called the 'vertex'.

Hence, from the given graph, we can easily determine that the parabola changes its direction at x = -5, and y = 0.

Therefore, the point (x, y) → (-5, 0) is the vertex of the graph.

Given rectangle QUAD, if QU = 13, find DA.

Answers

Step-by-step explanation:

DA=13.................

Answer:

Da =13 as we know opp sides of rectangle are equal

Which graph represents the function f(x) = |x|– 4?

Answers

Answer:

It is graph C

Step-by-step explanation:

Answer: Graph C

Step-by-step explanation: On Edge

can yall plz plz help me

Answers

Answer:

the answer is 80000 is b

sin 7A - sin A / (sin 8A + sin 2A)​

Answers

Answer:

sin 7A/ sin 2A di ako sure na Tama yan sorry pero yan Ang sagot ko

lalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalala

Answers

lalalalalalalalalalallalalallalalallalalalallqallalalala

If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?

Answers

-7/3

Step-by-step explanation: is the answer for odyssey ware

ernesto tiene 18 metros de malla el desea cerca solo tres lados de un terreno rectangular , ya que una pared sirve de limite del cuarto lado

Answers

Answer:

Estoy prediendo espanol, as translate.

Step-by-step explanation:

please write the question properly

3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree. ​

Answers

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)

Given the system of equations:2x-y=7 5x+2y=4 write the system of equations in the form Ax=B, where A,X and Bare matrices.

Answers

Answer:

Step-by-step explanation:

Here, we want to write the equations in the form of matrix

To do this we simply make sure that the coefficients of any given variable are on the same side of the matrix to first form a 2 by 2 matrix

Then we proceed to use the variables to form a 1 by 1 matrix by side and then finally the results forming another 1 by 1 matrix by the side

Please check attachment for complete representation

6 out of the 60 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?

Answers

Percentage of part time employees = (part-time employees/total employees) * 100 = (6/60) * 100 = 1/10 * 100 = 10%

What is the image point of (0,9) after a translation left 1 unit and down 2 units?

Answers

Answer:-1,7

Step-by-step explanation:

The point after translation left 1 unit and down 2 units will be (-1, 7)

What is translation?

A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

Given that, a point (0,9) is being translated left 1 unit and down 2 units

We know that, translation rule for, left and down is,

(x, y) = (x-a), (y-b) where a and b are units by which points are being translated.

Therefore,

(0, 9) = (0-1, 9-2)

= (-1, 7)

Hence, the point after translation left 1 unit and down 2 units will be (-1, 7)

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What is the best estimate for 56.23 - 45.9?
A. 9
B. 10
C. 11
D. 15

Answers

Answer:

10 Letter B

Step-by-step explanation:

56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10

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