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.

If you want to learn more about linear equations, you can read:

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Related Questions

Select the function that defines the given sequence.

Answers

Answer:

D.

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

Answer: D.

The graph shows the distance Henry drives on a trip. What is Henry's speed?


A. 60 miles per hour
OB. 30 miles per hour
O C. 40 miles per hour
OD. 70 miles per hour

Answers

Answer:

60

Step-by-step explanation:

every 1 hour, he is going 60 miles

The answer is 60 miles per hour

Shawn is typing a paper for class he can type 1 7/11 pages in 1/3 of an hour how many pages can he read in one hour

Answers

Answer:

Step-by-step explanation:

1/3 of an hour is 1/3 × 60 minutes = 20 minutes.

no of pages for 1 hour = 3 × 18/11

54

----    =     4    9

                    ------

11                     11

hope this help :P

-3 (4b - 10) = 114
What does b equal?

Answers

Answer:

b = -9.5

Step-by-step explanation:

-3 (4b - 10) = 144

-12b + 30 = 144

       -30      -30

-12b = 114

/-12      /-12

b = -9.5

Hope this helps!

Divide both sides by the numeric factor on the left side, then solve.
b = -7

What is the solution set for 9x^2-25=0?

Answers

Answer:

A

Step-by-step explanation:

9x^2-25=0

x= 5/3 and -5/3

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

What is quadratic equation ?

Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex]  , where x is variable and a, b and c are any real numbers and  a ≠ 0 is called quadratic equation .

given quadratic equation :

[tex]9x^2-25=0\\\\[/tex]

Adding 25 both sides

[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]

Dividing by 9 on both sides

[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]

Taking square root both sides

[tex]x= \pm \sqrt(\frac{25}{9})[/tex]

[tex]x= \pm \frac{5}{4}[/tex]

[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

To learn more about quadratic equation visit :https://brainly.com/question/1214333

solve for z: -4 - (z - 6) = 12

Answers

Answer:

z = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

Distribute negative:                              -4 - z + 6 = 12Combine like terms:                             -z + 2 = 12Subtract 2 on both sides:                    -z = 10Divide -1 on both sides:                        z = -10

Step 3: Check

Plug in z to verify it's a solution.

Substitute:                    -4 - (-10 - 6) = 12Subtract:                       -4 - (-16) = 12Simplify:                        -4 + 16 = 12Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

Answer:

z = -10

Step-by-step explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10

Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4

Answers

Answer:

Point form: (4, 4)

x = 4, y = 4

Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?

Answers

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

Find m< s
Please please help

Answers

Answer:

m< s = 43

Step-by-step explanation:

77 + 2x + 3 = 6x (collect like terms)

80 + 2x = 6x (subtract 2x on both sides)

80 = 4x (divide both sides by 4)

20 = x

PLUG IN TO M<S

2(20) + 3

40 + 3

m<s = 43

Hope this helps ya! Keep smiling!

Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .

Answers

Answer:

Slope of p  =    -a/b

 

(0, b)  is on line  q

 

Slope of q  =  ( b - 0) / (0 - -a)  =   b/a

 

Product of the slopes  =  (-a/b) (b/a)  =  (-ab) /(ab)  =  -1

I hope this helps (: Have a whimsical day! lol

1/3 (x-10)=-4 what does x represent

Answers

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step 1: Multiply both sides of the equation by 3.

Step 2: Simplify both sides of the equation.

Step 3: Move all terms not containing x to the right side of the equation.

Which of the following are right triangle congruence theorems

Answers

Answer:

All of them

Step-by-step explanation:

NEED HELP ASAP! WILL GIVES 15 POINTS AND MARK BRAINLIEST

Answers

Answer:

2,800

Step-by-step explanation:

PLEASE HELP MEEEE!!!!!

Answers

Answer:

47.8

Step-by-step explanation:

Answer:

Okay so what you need to do is add up all of the scores. 8.3+7.4+9.1+7.4+7.4+8.2 and that would give you the answer of 47.8 and it is a rational number because it can be written as the ratio of two integers. plz mark me brainliest

Step-by-step explanation:

1 options:

y = 3x - 1

y = -3x

y = 3x + 1

y = 3x
2 options:
y = 3/2x

y = -3/2x + 1

y = -3/2x

y = -2/3x
3 options:
y = -4x

y = 4x

y = -4x -2

y = -2x

Answers

Answer:

-3x is the answer I'm pretty sure I think

Answer:

Graph 1. y = 3x + 0 or y = 3x

Graph 2.  y = 3/-2x + 0 or y = 3/-2x

Graph 3.  y = -4x

Write a piecewise function for the graph.

Answers

Similar to Modulus, but It's separated.

Since both are separated, that means - they are both linear function.

The range is greater than all negative numbers. That means y ≥ 0

( 1 ) For the blue graph,

y = -x-3  {y ≥ 0} ---------- Blue Graph Answer

-x-3=0

-x=3

x=-3

We can clearly see that the slope is -1.

And intercept x-axis at (-3,0)

( 2 ) For the red graph.

y = 2x+6 { y ≥ 0} ---------- Red Graph Answer

Notice that the slope is 2.

And intercept x-axis at (-3,0)

Also intercept y-axis at (0,6)

2x+6=0

2x=-6

x=-3

---------- Only linear function with given y ≥ 0 can draw that. (Only separated graph.) --------------

A woman who is 6ft tall is standing next to a flagpole. The shadow of the woman is 3.5ft and the shadow of the flagpole is 17.5ft. what is the is the height of the flagpole

Answers

Answer:

30 feet tall

Step-by-step explanation:

The woman is 6 feet tall and her shadow is 3.5 feet tall, as is the flagpole's shadow is 17.5 feet tall making the flagpole 30 feet tall.

Equation: 6/3.5 = 1.74 x 17.5 = 30

I hope this helps.

Good luck!

(I rounded the 1.74 to two places)

Answer:60.9ft

Step-by-step explanation: Because i checked google :)

I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.

Answers

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Plzz help its only 1 question!!!

Answers

Answer:

D is correct

rost beef sandwich=7$

turkey sandwich=5$

Step-by-step explanation:

I don't have a question i just need brainly points:)
Sooooooooo
Vote as brainlyest!!

Answers

Answer:

Ok

Step-by-step explanation:

Answer:

That's not how you get brainliest haha

Step-by-step explanation:

You get brainliest when you answer a question. If the creator of the question thinks that your answer was great and it helped them, then they can mark it brainliest!

Hope this helps :)

Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)

Answers

Answer:

Ok

Step-by-step explanation:

BD bisects m m Find m

Answers

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Samantha had a mask collection. She keeps 372 of the masks on her wall, which is 93% of her entire collection. What is the total number of masks in Samantha's collection?

Answers

Answer:

im struggling as well

Step-by-step explanation:

expand this question
(a+3)(a+5)

Answers

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

(a+3)(a+5)
a(a+5)+3(a+5)
a^2+5a+3a+15
a^2+8a+15

Please HELP D: what are the Angels of A,B,C,D

Answers

A is 115 - because you minus 65 from 180 since it is a straight line and equals 180

What is the slope and y-intercept of the graph?



Slope:


y-intercept:

Answers

y = 0 + 2

Since it is a horizontal line, the slope is m = 0.

For the y-intercept, the line passes through 2 so therefore, the y-intercept is 2 positive.
Y intercept is 2
Slope is 0

Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0. Y intercept is where the line crosses through the y axis:)

Please help! what does the quotient of x and three increased by thirty-four look like as a problem? and why?

will name the brainliest!!

Answers

Answer:

x/3 + 34

Step-by-step explanation:

The quotient of x and 3 would be written as x/3.

(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)

Carmen has bought 30 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last?

Answers

Answer:

24/34=12/17=.7058..................

Step-by-step explanation:

30 pounds\ (2/3) pounds per meal = 45 meals

You can set up a conversion table

Is the domain of the function represented by the data shown in the graph discrete or continuous?​

Answers

9514 1404 393

Answer:

continuousdistance traveled by walking

Step-by-step explanation:

You can draw the graph without lifting your pencil, so it is "continuous."

Rows, drinks, and books are all things that are counted. That is, their number takes on discrete values.

Time, on the other hand, is continuous--able to take on any value.

The graph best models distance as a function of time.

A bag of sweets contains only two different flavours - strawberry and Orange
The probability that a sweet is strawberry flavour is 0.8
What is the probability that a sweet is orange flavour

Answers

0.2 because if the strawberry has a chance of 0.8 then orange must be the rest because there isn’t any other flavors.

Answer: 0,2

Step-by-step explanation:

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