Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer 1
Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55


Related Questions

if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.

Answers

Answer: Savers Lose

Step-by-step explanation: I had this question

Which mathematical statement represents “17 more than a number is 26”?
17 greater-than 26
n + 17 = 26
17 less-than 26
26 + n = 17

Answers

Answer:

n + 17 = 26

Step-by-step explanation:

Let's replace the sentence with mathematical terms:

17 more than a number is 26

More than means addition. The answer will also be a sum.

17 + a number is 26

Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.

17 + n is 26

The equal sign will replace the word "is".

17 + n = 26

Now, we can use the associative property of addition.

17 + n = 26 into n + 17 = 26

Which mathematical statement represents “17 more than a number is 26”?

Answer:

n + 17 = 26  

Step-by-step explanation:

17 more than a number means that you are adding 17 to a number (n) to equal 26.

If you take 17 away from each side you get n = 9

9 + 17 = 26 is a true statement so the equation is correct.

Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!

Answers

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

[tex]x=\frac{9+2y}{3}[/tex]....(1)

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

Which sign makes this number sentence true?
|-56|___ 1561

A)>
B)<
C)=
D) X

Answers

The absolute value of -56 is 56

the new sentence is 56____1561

A is not true because 56 is not bigger then 1561 if you count and put on number line

B is very true if you look at A. 56 is smaller than 1516

So, the answer is a

I hope this helped if it's wrong, plz blame me.

Ps.Brainlist would help a lot

Answer:

B

Step-by-step explanation:

The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.

The domain of function f is (-00, 6) U (6,00). The value of the function approaches -o as x approaches -00, and approaches oo. Which function could be function ?​

Answers

Answer:

a

Step-by-step explanation:

The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The value of the function approaches -∞ as x approaches -∞ is,

[tex]F(x) = \dfrac{x+6}{x-6}[/tex]

The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.

Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

To know more about functions follow

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A machine prints 8 banners in 120 seconds. How many seconds does it take to print one banner?

Answers

Answer:

15 seconds

Step-by-step explanation:

Number of seconds taken to print 8 banners = 120 seconds

Number of seconds taken to print 1 banner will be x seconds

Banners           Seconds

8                         120

1                           x

By cross multiplication, we get

=> 120*1/8 = x seconds

=> 120/8 = 15 seconds

It takes 15 seconds to print one banner.

Hope you got it!!

helpppppppppppppppppp​

Answers

Answer:

IP information is attached to each packet, and this information helps routers to send packets to the right place. Every device or domain that connects to the Internet is assigned an IP address, and as packets are directed to the IP address attached to them, data arrives where it is needed.

Step-by-step explanation:

hope i helped!

If s(x)=x-7 and t(x)=4x^2-x+3, which expression is equivalent to (t x s) (x)

Answers

(x-7)(4x^2-x+3)
4x^3-x^2+3x-28x^2+7x-21
4x^3-29x^2+10x-21

I have a system of equations I don’t remember how to do :|

I forgot how to solve this, and I forgot how to find the slope…

Answers

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

Question :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solution :

Solving the question and finding the final answer.

Here,

x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]

━━━━━━━━━

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

|2x +4| = 12; =

Can someone else me solve this please

Answers

[tex]|2x+4| = 12\\\\\implies 2x +4 = 12 ~~ \text{or}~~ 2x +4 = -12\\\\\implies 2x = 8 ~~ \text{or}~~ 2x = -16\\\\\implies x = 4 ~~ \text{or} ~~ x = -8[/tex]

Multiplying radicals. Simplify

Answers

Answer:

9√10

Step-by-step explanation:

3√15 x 6  = √90

3√90 = 3 x √9 x √10

3 √90 = 3 x 3 √10 = 9√10

A car slows down at -5.00 m/s2 until it comes to a stop after traveling 15.0 m. How much time did it take to stop.

Answers

Answer:

2.45 seconds to the nearest hundredth.

Step-by-step explanation:

Acceleration a = -5, distance s = 15, time  = ?.

Final  velocity = v =  0.

We need to use the equations of motion under constant acceleration.

v^2 = u^2 + 2as       where u is the initial velocity

0 = u^2 + 2*-5*15

u^2 = 150

so u = √150

Now we use v = u + at:

0 = √150 - 5t

t = √150/5

t = 2.45 seconds.

the distance between the points (-4, -3) and (-8, 6) to the nearest whole number.

Answers

Answer:

X1=-4,Y1=-3,X2=-8,Y2=6

=(X2-X1)^2+(Y2-Y1)^2

=(-8-(-4))^2+(6-(-3))^2

=(-4)^2+(9)^2

=(16+81)

=97units

pls someone help if you do all 3 i'll give you brainliest

Answers

A) 75

The two triangles are similar, ABC is an enlargement of RST by scale factor 2.5. So all lengths are 2.5 times larger than the lengths for RST

This gives us lengths of 30, 32.5 and 12.5

Adding these together gives us 75 for the perimeter

B) 30

We can work out the missing side of RST using Pythagoras’ theorem, it is 12
(12x5)/2 = 30

C) 187.5

We can use the same method as in B and use the formula for the area of a triangle to work out that the area for ABC is 187.5

if the nth term is 6-2n^2 what is the 4th term?

Answers

Answer:

a₄ = - 26

Step-by-step explanation:

Substitute n = 4 into the nth term formula

a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26

Please help I’ll mark brainliest

Answers

Answer:

y= 2, x= -1   (-1, 2)

Step-by-step explanation:

y= x + 3

y= -x+1

substitute y= -x+1

-x + 1 = x + 3

isolate x

-x + 1 = x + 3

x + 1 - x = x + 3 - x

After isolating x you'll get x = -1

for y= - x + 1

y= - (-1) + 1

simplify y = 2

solution:

y= 2, x= -1   (-1, 2)

If there were 24 coins in all, how many more gold coins than copper coins were in the jar?

Answers

Answer: 8 (I think)

Step-by-step explanation:

There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.

1/2 of 24 is 12

1/6 of 24 is 4

12 - 4 = 8

So there are 8 more gold coins than copper.

     

there are 24 coins in all and half of the coins are gold, half of 24 is 12. So since gold is 12, the copper and silver coins share the other half, looking at the chart I’m thinking that the silver coins has 2 more than the copper coins so the silver coin would have 8 and the copper coins would be 4. The question is asking for how many coins gold has than copper so you subtract 12-4 and you would get 8.

So your answer is 8.

6. You are planning a camping trip. The campsite you want to rent charges a $15 fee
to reserve the site, plus an extra $3 per day.
Part I: Define your variables and write a linear equation in slope-intercept form to
represent the cost of the campsite. (4 points)
Part II: Find the y-intercept and interpret it. (2 points)
Part III: Graph the equation for the cost of renting the campsite. Label three
points on your graph and indicate the slope. (4 points) Place the given line on the
graph to represent your equation.

Answers

Answer:

y=3d+15

y intercept is 15

slope is 3

Step-by-step explanation:

to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.

Solve for “x.”
9x = 912.6

Answers

Answer:

If it's not what You are looking for type in the equation solver your own ... is 12 percent of 912.6 - step by step solution || 2x-9=2x-9 || 2(x-3)=4(x+2) ...

Step-by-step explanation:

sorry if im wrong

Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.​

Answers

Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

PLEASE ANSWER ASAP
Which graph

Answers

Answer:

graph 4

Step-by-step explanation:

WILL MARK BRAINLIEST IF
- Answer is correct


- Answer is detailed



WILL NOT MARK BRAINLIEST IF:


-Answer contains links


-Answer not detailed


-Answer incorrect



(P.s: must be 2 answers pls)

Thanks

Answers

Answer: 65£40625

Step-by-step explanation:

We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.

Now, applying the discount. To apply a discount x to some value y:

x - xy, where x = original value, y = discount.

So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.

So, (100625)(0.065) gets us to to 6540.625p = 65£40625.

The First step to this problem is to find how much oil He needs.

In order to do that, we have to subtract 1400 L by 150 L

1400-150=1250

The second step to this problem is to calculate the total price (p) of the Oil that is needed

In order to do that, we have to find the price of the oil per liter which is 80.5p

Take out the P so it won't be hard

80.5x1250=100625p

The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction

100635x6.5/100= 6541.275p

So, the answer is  6541.275

I hope this helps, if it's wrong plz blame me

Have a nice day (:

Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?

Answers

The equation you can use to find the amount of money, v, Samir received for each video game is;

4v - 23.65 = 6.35 and v = $7.5

Algebraic word problems

Samir sold 4 oh his old star leaper video games.

He spent $23.65 of his earnings on a controller and has $6.35 left.

If the amount received for each video game is v, the total cost of the 4 video games is; 4v

He spent $23.65 out of 4v and is left with $6.35

Thus, this equation is;

4v - 23.65 = 6.35

Solving this gives;

v = $7.5

Read more about algebra word problems at; https://brainly.com/question/21405634

.RP.1.3 | JoAnn bought 2 shirts for $13.50 each and a purse for $8.
The sales tax was 6%. What is the total she paid for her
purchase, including tax?

Answers

Answer:

The answer is  $22.79. Hope this helped! If the answer is wrong i'm super sorry!

Step-by-step explanation:

$13.50 + $8 = $21.50

0.06 x 21.50 = $1.29

$1.29 + $21.50 = $22.79

i don't know the answer to log4(x+6)=2

Answers

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links

Answers

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

For more information about ratio and proportion,

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the triangle has a right angle at the middle letter.
In AABC, Ĉ = 40°, BC = 4 cm. Find AB.

Answers

Tan 40 degree= opposite (ab)/adjacent (4)
.839=ab/4
Ab=3.36cm

Ed is on a road trip. He has already traveled 226 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles?

Answers

Answer:

[tex]\purple{\rule{1000pt}{900000pt}} [/tex]

Miles travelled=226Miles to travel=638Speed=66mphHours be x

The equation is

[tex]\\ \sf{:}\Rrightarrow 66x+226=639[/tex]

[tex]\\ \sf{:}\Rrightarrow 66x=413[/tex]

[tex]\\ \sf{:}\Rrightarrow x\approx 6[/tex]

How to solve this question?

Answers

Answer: -3

Step-by-step explanation:

The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]

1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.

Answers

Answer: 6 2/3

4/3 * 5

20/3

6 2/3

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Who wrote that people have the right to life, liberty, and property? Time management is the ability to use time effectively.Question 23 options: True False pls help on my maths 9 + (-6) = 3 is this correct Ann got a 30 year Fully Amortizing FRM for $1,000,000 at an annual interest rate of 7% compounded monthly, with monthly payments. After 5 years of payments, Ann can refinance the balance into a 25 year Fully Amortizing FRM at an annual interest rate of 6% compounded monthly, with monthly payments. Refinancing will cost Ann 1 point and $1, 500 in closing costs.If Ann refinances into this loan and makes payments for 25 years, what will be her annualized IRR from refinancing? Without doing any calculations, is positive or negative?Explain your reasoning. Explain one example of why nationalism thrived in the period c. 1750-c. 1900. Select the four equivalent expressions to 4x^2 - 4x -24A - 2x^2 - 2x - 12B - 4(x^2 - x - 6)C - 4(x - 3)(x + 2)D - (2x - 2x)^2 - 24E - (4x - 12)(x +2)F - (x - 3)(4x + 8) Students test a bottle rocket launcher. When the bottle is pressed, air from the bottle launches the rocket into the air. The diagram shows the three designs and the heights the rockets reach.What part of the design are the students testing?bottle sizebottle sizelength of tube Xlength of tube Xshape of the rocketshape of the rocketlocations of tubes Y and Z brainliest if correctSolve.49x+2.4=6Enter your answer as a decimal or as a mixed number in simplest form in the box. x = $\text{Basic}$ State the morden nationalism in Europe?? How did changes in patronage help bring about the popularity of comic opera in the Classical era? The diagram below represents a plant cell in tap water as seen with a compound light microscope.Which diagram best represents the appearance of the cell after it has been placed in a 15% solution for twominutes?SOS(1)(2)(3)(4) Last week, the price of oranges at the farmers market was $1.75 per pound. This week, the price has decreased by 15%. What is the price oforanges this week? In the article, "Growing Up: Key Moments," which word means "lacking interest orexcitement"?mundane (paragraph 1)trivial (paragraph 2)valuable (paragraph 6)elective (paragraph 9) 16. Ultimately social class determines how people think about social class. When asked why are people poor, Dr. Loewen found that most poople believe poverty lo be:O a. the fault of the schoolsO b. the fault of industriesO c. the fault of poor peopleO d. the fault of the structuralists in society Passive transport move molecules without Write the second sentence so that it has the same meaning to the first one, using the words given.1. I didn't go to school because I was sick. (so)=> I was sick, 2. Hoa and Tim are both 13 years old. (the sameas)=> Tim is 3. Her book is not the same as mine. (different from).=> Her book is 4. I started playing soccer 5 years ago.=> I have 5. The painting is bigger than the photograph. (not asas)=> The photo Write a multiplication equation to represent this decimal model. Find mJLKJLK.