Will mark brainliest please help Debbie notices that the amount owed on her monthly heating bill varies inversely with the average outdoor temperature. Last month the average outdoor temperature was 35°F, and her bill was $210. If this month's average outdoor temperature is 40°F, what can Debbie expect her bill to be?

Answers

Answer 1

Answer:

The bill is $1837.5

Step-by-step explanation:

Given

[tex]B = Bills[/tex]

[tex]T = Temperature[/tex]

[tex]B\ \alpha\ \frac{1}{T}[/tex] --- The variation

T = 35; when B = 210

Required

Find B when T = 40

[tex]B\ \alpha\ \frac{1}{T}[/tex]

Express as an equation

[tex]B = \frac{k}{T}[/tex]

Make k the subject

[tex]k = BT[/tex]

T = 35; when B = 210

[tex]k = 35 * 210[/tex]

[tex]k = 7350[/tex]

When T = 40, we have:

[tex]k = BT[/tex]

[tex]7350 = B * 40[/tex]

Make B the subject

[tex]B = \frac{7350}{4}[/tex]

[tex]B = 1837.5[/tex]


Related Questions

Hello, who would you do me the favor of helping me with this question?
He says:
Show, using the property of the number of diagonals of a polygon, that the triangles have no diagonals.
I hope they help me ​

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Step-by-step explanation:

diagonal of a polygon formular =sum of diagonal =5-3-5/2. A triangle do not have diagonal

Find the area of a regular 15-gon with radius 64 mm

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

What is the measure of n?
n
20
m
5
N= [?]
Please help I’ll give brainliest

Answers

Answer:

n = 10

Step-by-step explanation:

n is the altitude of the right triangle.

Apply the right triangle altitude theorem/geometric mean theorem to find n.

Which is:

h = √(xy)

Where,

h = n =?

x = 5

y = 20

Plug in the value into the equation

n = √(20*5)

n = √100

n = 10

Answer:

Step-by-step explanation:

1) The Trends in International Mathematics and Science Study (TIMSS) in 2007 examined eighth-grade proficiency in math and science. The mean mathematics scale score for the sample of eighth-grade students in the United States was 508.5 with a standard error of 2.83. Construct a 95% confidence interval for the mean mathematics score for all eighth grade students in the United States.

Answers

The interval inside your a y=7+98

Need help with this one....​

Answers

Answer:

(3, -2) (8,3) first box

(6,26) (2,10) second box

(5,-1) (1,1) third box

Step-by-step explanation:

You plug the left number into the equation as x and then do the math to find what y should be equal to. This number should be equal to the right number in the parenthesis.

I WILL GIVE YOU BRAINLIEST!
What is the measure of n?
12
4
n
m
n =
V[?]
Enter

Answers

After answering the question provided, we can predict that the result will be as in the triangle by Pythagorean theorem = [tex]\sqrt{12^2 - 4^2}[/tex] => N = [tex]\sqrt{144 - 16}[/tex] => n = [tex]\sqrt{132}[/tex]

What precisely is a triangle?

A triangle is a polygon because it includes four or so additional parts. It features a simple rectangular shape. A rectangle having edges A, B, and C is referred to as a triangle. When the sides are actually not collinear, Euclidean geometry yields a single plane and cube. If a triangle contains three parts and three angles, it is a polygon. The intersections of a triangle's three sides are referred to as its corners. The sum of a triangle's sides is 180 degrees.

by Pythagorean theorem

n = [tex]\sqrt{12^2 - 4^2}[/tex]

N = [tex]\sqrt{144 - 16}[/tex]

n = [tex]\sqrt{132}[/tex]

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Please help Im stuck ty ...

Answers

Answer:

1500

Step-by-step explanation:

1/4t=500lbs so 500x3=1500

Need answer asap, correct answer gets brainliest.

Answers

Answer:

caca water

Step-by-step explanation:

PLS HELP ME ASAP! Dont answer for points & no links for other sites or i will report you. I'm running out of points plss

Answers

The answer is C. Btw what happens if u run out of points

ASAP it’s due tomorrow ASAP

Answers

The correct answer is A

Answer:

D

Step-by-step explanation:

What’s the correct answer for this question?

Answers

Answer:

the solution is 25/7

I did 9x2=18+7

00
A group of 150 middle school students were asked whether they prefer playing video games or watching TV in their spare time. The genders of the students and
their responses are reported in the following table.
Playing video
games
Watching TV
Girls
23
64
Boys
43
20
E
(a) What percentage of the students are girls?
(b) What percentage of the students prefer watching TV?
х
$
2

Answers

Answer:

58%56%

Step-by-step explanation:

a) Number of girls:

23 + 64 = 87

Percentage:

87/150*100% = 58%

b) Number of students prefer watching TV:

64 + 20 = 84

Percentage:

84/150*100% = 56%

Answer:

no of percentage of girls=no of girls/total ×100%

=87/150×100%=58%

percentage of the students prefer watching TV

=total no the students prefer watching TV/total std.×100%

=84/150×100%=56%

22. Tell which line below is the graph of each equation in parts (a)-(d).
Explain.
a. 2x + 3y=9
b. 3x - 4y = 12
c. x-3y=6
d. 3x + 2y=6

PLEASE HELP TYYY!

Answers

a to l
b to n
c to m
d to K

Simplify 3(x+4)
A.3(x+4)
B.7x
C.12x
D.3X+12

Answers

Answer:

D. 3x + 12

Step-by-step explanation:

Distribute the 3 inside.

3 * x = 3x

3 * 4 = 12

3x + 12

Answer:

3x+12 (D)

Step-by-step explanation:

3(x+4)

=(3)(x+4)

=(3)(x)+(3)(4)

=3x+12

Hope this helps!

Solve for x 2/3x=4/9

Answers

2/3 here you go! Good luck

Can someone help me out please?

Answers

F (1) has more than the other


Tickets to a play cost $8.00 each.
Write an expression to find the
total cost of "b" boys &
"g" girls.

Answers

Answer:

Step-by-step explanation:

b + g = 8x

Kayla gets paid $10 for raking leaves and $15 for moving the lawn of each of the neighbours in her subdivision. This year she mowed lawns 10 times more than she raked leaves. In total she made $800 for doing both. How many times did she rake leaves?​

Answers

Answer:

I think it's 65

Step-by-step explanation:

15*10= 150

Which of the following could be the first step in solving the equation below? 6^x=24
A. log. 6^x=24
B. 1/6•6^x=1/6•24
C. 6√6x=6√24
D. log 6^x=log 24

Answers

Answer:

D

Step-by-step explanation:

URGENT GIVING BRAINLY and pts

Answers

Answer:

I think it's C.

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Answers

I assume that you want to solve for x.

If so, just divide both sides by p.

px/p = 27/p

x = 27/p

Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left to do?​

Answers

Answer:

The correct answer is 3/5 :)

Select all possible solutions for 2x + 7 ≤ 3x - 5.

Help this is due tomorrow!

Answers

Answer:

12,18,24,107, [I cant see the rest]

Step-by-step explanation:

x ≥ 12

Answer:

12

Step-by-step explanation:

What is the measure of ∠x?

∠x = ___

Answers

Since ∠J is a corresponding angle of ∠H,
∠H and ∠J are equal.

So, ∠J=56°

∠J+∠A+∠x=180°
56°+66°+∠x=180°
122°+∠x=180°
∠x=180°-122°
∠x=58°


The Goodsmell perfume company has a new line of perfume and is designing a new bottle for it. Because of
the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The
company also wants the bottle to contain at least 100mL of perfume. The design under consideration is in the
shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150
cm2 Determine the volume to the nearest 10mL. Report the dimensions of the bottle and the corresponding
surface are and volume.
This cylindrical perfume bottle needs to be boxed in a prism for sale on store shelves. The Goodsmell perfume
company would like a box with the smallest possible surface area which will contain your design for the
perfume bottle. Report the dimensions of the box and the corresponding area and volume.
The Pretty Perfume company, Goodsmell's competition, has also designed a new perfume bottle. The bottle is
to be a spherical shape with a diameter of 7cm. Determine the volume and surface area of this bottle.
The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this
information, calculate the volume and surface area of the lid of the spherical shaped bottle.
Determine the dimensions of the smallest possible box which could be used to package Pretty Perfume's new bottle with its spherical bottle and conical-shaped
lid. However, this box is not shaped like a rectangular prism. Pretty Perfume would like to have unique packaging and have chosen to have a box shaped like a
pyramid. Calculate the volume and surface area of this pyramid-shaped box.
The Final Product:
Prepare a written report that includes:
1. A clear and concise explanation of the process that you used to solve the problem.
2. The calculations that you made, presented in an organized fashion.
3. A rationale (reason) for your selection of values.​

Answers

Answer:

its to long for me

Step-by-step explanation:

Fatima will take an UBER to the movie
theater. She will pay a one time fee of
$5 plus $2.65 per mile. Which equation
can be used to find y, the total cost of
the trip, if x represents the number of
miles of the trip?
A. y = 5x + 2.65
B. y = 5x - 2.65
C. y = 5 + 2.65x
Need
D. y = 5 - 2.65x

Answers

Answer:

A

Step-by-step explanation:

If x is the mile then you pay 5 dollars a mile or 5x. The flat fee is 2.65 so we add it and since it's not per mile we don't add an X.

Brainliest for correct answer asap

Answers

Answer:

1st one

Step-by-step explanation:

Step-by-step explanation:

answerss

the Last one or the 1st one but go w it the last

y = 4x-9
y = x-3
Which method and why? Solve, shoving all work

Answers

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

3x = 6                                Divide by 3

3x/3 = 6/3

x = 2

===============

Now use the second equation to solve for y

y = x - 3

y = 2 - 3

y = -1

==============

The solution is (2,-1)

Please someone help! I've been struggling with this assignment! SHOW ALL WORK.
- Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
a) Write a recursive rule for this series:

b) Write an explicit rule for this series:

c) Using the explicit formula, find the number of chairs in row 5 (show work)

d) The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium.

Answers

Answer:

The series:

10, 16, 22, ...

This is an AP with the first term a₁ = 10 and common difference d = 6

a) Recursive formula:

a₁ = 10,aₙ = aₙ₋₁ + 6

b) Explicit formula:

aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

c) n = 5 ⇒ a₅ = ?

a₅ = 6*5 + 4 = 34

d) S₁₇ = ?

Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2S₁₇ = 17(2*10 + 16*6)/2 = 986

Step-by-step explanation:

sn=15+(n-1)2

the 20th row n=20 so the seats are  

15+(20-1)(2)=53 seats

Explicit formula:

aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

Write a formula to illustrate this arithmetic sequence:

in a polynomial expression, a term can be

Answers

Answer:

more than three terms it has to be

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