Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.

Repair Cost Formulas
Electrician
Cost in y dollars for an x-hour service
1
y = 25 x + 30
2
y = 30 x + 25
3
y = 25 x + 20

Which statement is best supported by the table?
Each electrician charges a different hourly rate.
Each electrician charges a different base fee.
All three electricians charge the same hourly rate.
All three electricians charge the same base fee.

Answers

Answer 1

Answer: B: each electrician charges a different base fee

Step-by-step explanation:

Answer 2

Answer:

b.Each electrician charges a different base fee:

Explanation:

Each of the equations has two parts:

1- base fee that is independent of any variable (this would be the number that has no variable next to it)

2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

For the first electrician:

y = 25x + 30

base fee = $30

hourly rate = $25

For the second electrician:

y = 30x + 25

base fee = $25

hourly rate = $30

For the third electrician:

y = 25x + 20

base fee = $20

hourly rate = $25

Now, let's check the choices:

a.Each electrician charges a different hourly rate:

This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

b.Each electrician charges a different base fee:

This is correct as all three base fees are different ($30, $20 and $25)

c.All three electricians charge the same hourly rate:

This is incorrect as electrician 2 has a different hourly rate

d. All three electricians charge the same base fee:

This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)


Related Questions

which is the greatest among root 2, 3 root 4 and 4 root 3?

Answers

Answer:

4^1/3 is greatest among the given

Step-by-step explanation:

√2 , 4^1/3 , 3^1/4

Find the LCM of 2, 3 , 4= 12

i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12

= (64)^1/12

ii ) 4^1/3 = 4^4/12 = (4^4)^1/12

= (256)1/12

iii )3^1/4 = 3^3/12 = ( 3³ )^1/12

= (27)^1/12

Therefore ,

(256)^1/12 > (64)^1/12 > (27)^1/12

4^1/3 > 2^1/2 > 3^1/4

4^1/3 is greatest among the given

number

. If m∠1 = 50°, find the following: a. m∠2 = ? b. m∠3 = ? c. m∠4 =

Answers

Answer: is there a graph

Step-by-step explanation:

8.h=7
108 18 what is h

Answers

Answer:

its 8.7× 108 18

Step-by-step explanation:

ye thats basically it solve it now

(-5,4) and (1,6)
y-6 =? plz help me

Answers

Answer:

(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+

Step-by-step explanation:

A. artists
B. brushes
C. paintings
D. hours​

Answers

Answer:hours

Step-by-step explanation:

c brushes hope this helps

plz help will award brainliest

Answers

Answer:

After 5 hours.

35 bacteria cells.

Step-by-step explanation:

Andy’s population is represented by [tex]B=6x+5.[/tex]

Samantha’s population is represented by [tex]B=2^x+3[/tex]

Where B represents the total population given the number of hours x.

We want to find at what hour will their population be the same. We are told to use graphing technology.

Graphing them, we will get the graphs below.

Graphically, their population will be the same where the two graphs intersect.

So, we can see that they intersect at (5, 35).

Therefore, after 5 hours, the total number of bacteria cells for both experiments will be the same.

And the total number of bacteria at that time will be 35 bacteria cell.

1 point
3. The value of gold is always changing. Last year, Max had a 0.2-ounce
piece of gold valued at $148.96. This year he had a 0.24-ounce piece of
gold valued at $222.84.How much had the price of gold per ounce changed
since last year? Record your answer and fill in the bubbles on your answer
document. Be sure to use the correct place value
Your answer

Answers

Answer:

the price has practically multiplied by 12 because if the ounce was 2 and now is 24 divide and get 12 hope this helps

Step-by-step explanation:

The cost of 6 team sweatshirts is $84.
At this price, how much would it cost to
buy sweatshirts for a whole team of 24
players?

Answers

Answer:

336

Step-by-step explanation:

What is the value of x in the equation
3x - 4y = 65:
when y=4?
Ox=13 1 / 2
x=21 1 / 3
X =23
O
x=27

Answers

x=27 because you plug y into the equation and solve for x

Simplify 2m - 7x + 6 + 3x - 4 by COMBINING LIKE TERMS.

Answers

The expression would be:

2m-4x+2

Answer:

2m - 4x + 2

Step-by-step explanation:

Combine -7x and 3x which gives your the -4x

Combine the -4 and 6 to give you the 2

I dont get this, can anyone help?

Answers

Answer:

this is an x y coordinate plane, start with x and then move to y.

what is the mean of this set
0,100,100,100,100​

Answers

Answer:

80

Step-by-step explanation:

Mean simply means the average. To calculate the average of all these numbers, add them all up together and divide that number by how many numbers you added.

A simple equation you can use is:

[tex]\frac{the sum of the terms}{the number of terms}[/tex]

To calculate the mean of the set : 0,100,100,100,100​

= 0 + 100 + 100 + 100 + 100

= 400 / 5

= 80

The mean of the set is 80.

I will give brainliest to whoever answers this!

Answers

It’s B because (2/3)^3 = 0.2962962963 and if you put that in fraction form you get 8/27 so it’s definitely B

The hypotenuse of an isosceles right triangle has length 4. How long is each leg?

Answers

Answer:

you know 2 sides are the same on an a silly triangle.. I mean isosceles.. so the hypotenuse will be longer but the other two sides are the same

use [tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]  ( Pythagoras theorem )

Step-by-step explanation:

[tex]4^{2}[/tex] = [tex]A^{2}[/tex] +[tex]A^{2}[/tex]  ( b/c the side are the same length the can both be called A )

16 = 2[tex]A^{2}[/tex]

8 = [tex]A^{2}[/tex]

[tex]\sqrt{8}[/tex] = A

not a whole number but.. it's still a good answer square root of 8 is about 2.8284 on my calculator

If I work Saturday and Sunday for an entire year making $11.00 an hour for 8 hours in a shift. How much did I earn in that year?

Answers

Answer:

$9,152

Step-by-step explanation:

If a number is odd, then it has a remainder of 1 when divided by 2.
Which is the hypothesis of the conditional?

Answers

Answer:

The hypothesis of the conditional is "A number is odd".

Step-by-step explanation:

The statement can be represented by the following proposition:

[tex]P \implies Q[/tex] (Eq. 1)

Where:

[tex]P[/tex] is the hypothesis of the proposition.

[tex]Q[/tex] is the conclusion of the proposition.

[tex]\implies[/tex] - Binary connector, which means "If...., then...."

In this case, we present what each propostion represents:

P = A number is odd.

Q = It has a remainder of 1 when divided by 2.

In consequence, the hypothesis of the conditional is "A number is odd".


Which kind of expression is 400(0.5)?

Answers

Multiplicative expression?

(Help me with this test question) Lines l and m are intersected by transversal t and l || m. Lines l and m are vertical with l to the left of m. Transversal t intersects them both slanting down and right. The angles formed above t with l and m from left to right are angles 1, 3, 5, and 7. The angles formed below t with l and m from left to right are angles 2, 4, 6, and 8. Select all the angles that are supplementary to ∠1. Group of answer choices ∠3 ∠4 ∠6 ∠5 ∠7 ∠8

Answers

Answer:

∠6 and ∠7

Step-by-step explanation:

To be complementary, they both in total have to sum 180°, and that mean that they have to form a com pleat and straight line. ;)

The supplementary angles of angle 1 are angles 2 and 3.

Two Angles are Supplementary when they add up to 180 degrees.

      From given figure,

It is observed that sum of angles 1 and 2 is equal to 180 degrees.The sum of angles 1 and 3 is equals to 180 degrees.

                   [tex]\angle1 +\angle2=180\\\\\angle1 +\angle3=180\\[/tex]

Thus , the supplementary angles of angle 1 are angles 2 and 3.

Find out more information about the supplementary angles here:

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PLZ help meeeee.... srry if it's not clear

Answers

Message me and Take the photos clearer of which one you need and I’ll help babe!

What is 20% of a $30 haircut

Answers

Answer:

6

Step-by-step explanation:

30 X 0.2=6

Answer:

Step-by-step explanation:

Bill: $30.00

Tip: $6.00

Total: $36.00

Which linear equation has a slope of 3 and a y-intercept of –2?
y = 3x + 2
y = 3x – 2
y = –2x + 3
y = –2x – 3

Answers

Y=3x-2 slope has x after it y=mx+b m is slope and b is y-intercept

Answer:

y =3x-2

Step-by-step explanation:

Bill bought 5 apples mary bought 2 apples and spent 1.86 for strawberrie. if the spent equal amounts write and solve the equation

Answers

Step-by-step explanation:

efzt8zgixhoch9cf8zgozohxigzigzgizigx

The cost of an apple was 0.62 cents.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An equation says that two things are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, Bill bought 5 apples Mary bought 2 apples and spent 1.86 for strawberries. both the spent equal amounts, we need to write and solve the equation for the price of apples,

Let the cost of 1 apple = A

Bill bought = 5A apples

Mary bought=2A + 1.86

5A = 2A + 1.86

3A = 1.86

A = 1.86/3

A = 0.62 cents

Hence, the cost of an apple was 0.62 cents.

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Point S is between points R and T on RT. Use the information to write an equation in terms of x. Then solve the equation and find RS, ST, and RT.
RS = 2x - 8
ST = 3x - 10
RT = 17

RS =
ST=
RT=

Answers

Answer:

RS=6

ST=11

Step-by-step explanation:

answer is above

The value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is between points R and T on RT.

RS = 2x - 8

ST = 3x - 10

RT = 17

From the above information:

RT = RS + ST

17 = 2x - 8 + 3x - 10

17 = 5x - 18

35 = 5x

x = 35/5

x = 7

RS = 2x - 8 = 2(7) - 8 = 6 units

ST = 3x - 10 = 3(7) - 10 = 11 units

RT = 17 units

Thus, the value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units.

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What is the slope of the line? (Picture)

Answers

Answer:

-1/3

Step-by-step explanation:

its rise over run.

u rise 2, and run 6 and its a negative slope

when you simplify its then -1/3

Answer:

[tex]m = -\frac{1}{3}[/tex]

Step-by-step explanation:

Using the slope formula:

            y2 – y1

m   =   --------------

            x2 – x1

Plug in any two points that the line passes through:

In this case, (2, 0) and (–1, 1).

              1 – 0

m   =   --------------

            –1 – 2

                 1

m   =   --------------

               –3

Which property of addition is shown in the equation below?

a + bi + 0 + 0i = a + bi
commutative property
inverse property
identity property
associative property

Answers

Answer:

c. Identity property

Step-by-step explanation:

edg 2020

Identity property is used in the equation a+bi+0+0i=a+bi.

What is identity property?

The identity property of addition says that the sum of 0 and any number is that number only.

How to check property?

We have been given the following equation

a+bi+0+0i=a+bi

when we multiply it with 0 we get 0 and the equation becomes

a+bi=a+bi

It shows the identity property of addition.

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15 POINTS PLEASE HELP! It is known that 3 is less than y is less then 7. Find the possible values of the expression:
a) 8y
b)14-2y

Answers

Answer:

[tex]a) 8y = 32.\\b)14-2y = 6.[/tex]

[tex]the \: right \: expression \: for \\ 3 \: is \: less \: than \: y \: is \: less \: than \: 7 \: is \\ 3 < y < 7. \\ then \\ y \: can \: be \: any \: value \: form \: (4 \: to \: 6). \\ so \: if \: y = 4. \\ then \\ 8y = 8 \times 4= 32. \\ and \\ 14 - 2y = 14 - 2 \times 4 = 6.[/tex]

The maximum and minimum value of the expressions are -

1 - 8y              Max [1] = 48              Min [1] = 32

2 - 14 - 2y           Max [2] = 6                  Min [2] = 2

What is inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that 3 is less than y is less then 7.

We can write the inequality -

3 < y < 7

Expression 1 : 8y

Maximum value of the expression = Max [1] = 48

Minimum value of the expression = Min [1] = 32

Expression 1 : 14 - 2y

Maximum value of the expression = Max [2] = 14 - 2 x 4 = 14 - 8 = 6

Minimum value of the expression = Min [2] = 14 - 2 x 6 = 14 - 12 = 2

Therefore, the maximum and minimum value of the expressions are -

1 - 8y              Max [1] = 48              Min [1] = 32

2 - 14 - 2y           Max [2] = 6                  Min [2] = 2

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The perimeter of the rectangle below is 54 units. Find the value of x

Answers

Answer: x=5

Step-by-step explanation:

3x appears two times and so does 2x +2. That created the equation 3x + 3x + 2x + 2 + 2x + 2=54. Combine like terms. You get 10x +4=54. Then you solve. Inverse operation: You subtract 4 from 54. Which is 50, then divide by 10. X=5

The value of the x for the given rectangle is 5 units.

What is the perimeter of a rectangle?

The whole distance that a rectangle's boundaries, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the sum of its four sides.

Given, The perimeter of the rectangle below is 54 units.

Also given the length of the rectangle = 3x

and the width of rectangle = 2x + 2

Since, Perimeter of rectangle = 2 *( length + width)

Perimeter of rectangle = 2 * (3x + 2x + 2)

Since we have a perimeter

54 = 2 *(5 x + 2)

5x + 2 = 27

5x = 25

x = 5

Therefore, For the given rectangle, the value of x is 5 units.

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Which graph below shows the solution set for the inequality b ≥ 5?
pls help meeeeeeeee

Answers

Answer: we can’t see graphs but I can help you if you show me them

Step-by-step explanation:

Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced

Answers

Answer:

2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 6y = - 18 ( subtract 3x from both sides )

6y = - 3x - 18 ( divide all terms by 6 )

y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

Slope of the line perpendicular to given line 3x + 6y = –18 is 2

What is slope intercept form and relation between slopes of two perpendicular lines ?

The slope intercept of a line is given : y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or  m₁ *m₂ = -1

Given line is 3x + 6y = –18

Subtract 3x from both sides

⇒ 3x +6y -3x = -3x-18

⇒  6y = -3x-18

y =(-3/6)x -18 /6 = (-1/2) x -3

comparing it with slope intercept , slope = -1/2

let the slope of line perpendicular to given line is m

then m.(-1/2) = -1

   ⇒ m = 2

Slope of the line perpendicular to given line is 2

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Which one don’t lie!!!

Answers

Answer:

A

Step-by-step explanation:

m=y2-y1/x2-x1

4-2=2

6-3=3

2/3

hope this helps =3

Answer:

The answer is 2/3

Step-by-step explanation:

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