Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 13 HCF is $46.33, what is the monthly cost for 17 HCF?

Answers

Answer 1

The monthly cost for 17 hundred of cubic feet is $52.13.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the bill paid for x HCF of water.

The slope is 1.45, hence m = 1.45.

The monthly cost for 13 HCF is $46.33, hence:

46.33 = 1.45(13) + b

b = 27.48

y = 1.45x + 27.48

For 17 HCF:

y = 1.45(17) + 27.48 = 52.13

The monthly cost for 17 hundred of cubic feet is $52.13.

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Related Questions

Sophia, Oliva, Ava, Mia, and Isabella are going to drive together to a nearby theme park. The car they are using has 5 seats: 1 driver seat, 1 front passenger seat, and 3 back passenger seats. Sophia and Olivia are the only ones who know how to drive the car. How many possible seating arrangements are there?

Answers

Answer: 48 arrangements

Step-by-step explanation:

Total persons = 5

Total seats = 5

Total arrangements

= 2 * 4!

= 2 * (4 * 3 * 2)

= 2 * 24

= 48

During a blizzard, Daniel lost power for 40 hours. His neighbor lost power for 2 days. Whose power was out longer?

Answers

Answer:

his neighbors

Step-by-step explanation:

there are 48 hours in 2 days, which means that his neighbors power was out longer.

Can anyone help me with these problems please?

Answers

Answer:

1. a^2 + b^2= c^2

2. 15      9^2+12^2 = c^2    

3. 4        3^2 +b^2=5^2

4. 24km     6^2+8^2 = c^2       c = 10      6+8+10 = 24

5. √(x2-x1)^2 + (y2-y1)^2

6.√34               (1,0)      (6,3)         √(6-1)^2+(0-3)^2

                       x1, y1     x2, y2

           

A plot consists of a rectangular garden measuring 8 m by 10 m, surrounded by a
path of constant width, as shown in the diagram.
The total area of the plot (garden and path) is 143 m2.
Find the width of the path. Use x to represent the width of the path.

Answers

x= 3m
The length of the new sides are 11 and 13. I got this by looking at the factors of 143 and looking for numbers that fit the 8:10 ratio.

HELP PLS !!!!
A square with side of k cm has perimeter of 36 cm. find the value of k.

Answers

you would find it by

Find the surface area of this net.

Answers

Answer:

231cm²

Step-by-step explanation:

First, let's find the surface area of both the triangles

5x3=15

So, the surface area of the triangles is 15 sq.cm

Now, let's find the surface area of the base (large rectangle in the middle)

12x8=?

10x8=80

2x8=16

80+16=96

12x8=96

So, the surface area of the base, is 96sq.cm

Now, let's find the surface area of both of the side rectangles

12x5=60

60x2=120

So, the surface area of the two side rectangles is 120sq.cm

Now, let's find the total surface area by adding all of our answers.

120+96=216

216+15=231

So hence, the surface area of this net is 231cm²

Simplify this problem. Leave answer in exponents.

Answers

[tex]8^{-2}*a^7=\frac{a^7}{8^2} =\frac{a^7}{64}[/tex]

Hope that helps!

Analyze the zeros of f(x) =x^4 - 3x^3 - 2x^2 + 3x - 5.

Answers

X1 = 1-sqrt(6) , X2= 1+sqrt(6)

10-5: Practice Buddy answers

Answers

Answer:

Step-by-step explanation:

Answer is:
Five
Step-by-step
Put 10 fingers up and take 5 away
10-5=5

use of direct and indirect materials in production requires a credit to

A. work-in-process inventory
B. raw materials inventory
C. Manufacturing Overhead
D. finished goods inventory

Answers

B. Raw material inventory

Image attached please help easy geometry

Answers

B’ = (-1,-1)
C’= (-5,0)

here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct​

Answers

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

What was the percentage increase in average miles flown per passenger from 1966 to 1976? %
14
17
20​

Answers

The percentage increase in average miles flown per passenger from 1966 to 1976 is 16.9%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

In 1966, the average miles flown per passenger was 711 while in 1976, the average miles flown per passenger was 831. Hence:

Percentage increase = [(831 - 711) / 711] * 100% = 16.9%

The percentage increase in average miles flown per passenger from 1966 to 1976 is 16.9%.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

23.6%

I got it wrong by using the answer above, so I'm 100% positive that this is the right answer cause it was from the answer key.

can u simplify ratio 20 : 4 : 1

Answers

Answer:

No

Step-by-step explanation:

20 : 4 : 1

It is already simplified to the maximum.

No because it is already in its simplest form

Twenty-seven (27) months is months less than 3 years.​

Answers

Answer:

9 months

Step-by-step explanation:

3*12-27

36-27

9

The large rectangle below represents one whole.



What percent is represented by the shaded area?

Answers

Answer:

[tex]\huge\boxed{\sf 30 \%}[/tex]

Step-by-step explanation:

Total blocks of large rectangle = 20

Shaded region = 6

So, shaded fraction:

[tex]\displaystyle = \frac{6}{20}[/tex]

Multiply numerator and denominator by 5

[tex]\displaystyle = \frac{6 \times 5}{20 \times 5} \\\\= \frac{30}{100} \\\\Percent \ means \ 'out \ of \ 100'\\\\= 30 \%\\\\\rule[225]{225}{2}[/tex]

Answer:

30 %

Step-by-step explanation:

6/ 20× 100 %

=30%

s fjfjf rirnrifn kirkf

Find the inverse function of f(x) = x^3/2

Answers

Answer:

The answer is f^-1(x)=0^3[tex]\sqrt{x}[/tex]+2

Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation

Please Please help please

Answers

Answer:

compound and elements

Step-by-step explanation:

a single atom is known as an element

a compound is two elements bonded together.

the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds

Fully simplify the following expressions
1. (2⁴ x 5⁵)²
2. (2²+5)²
3. 2-²+3 ÷ 2-¹

Answers

Answer:

above is the solution to the question

Hello can someone please answer this question i will mark you the Brainliest

Answers

Answer:

1350 cm^2

A=6a^2= 6 x 15^2 = 1350^2

Answer:

B. 1350 cm^2

Step-by-step explanation:

Hello!

To start, let's understand what surface area is. The surface area is all the space on the outside of the shape.

In this case, we see that the entirety of the outside of the shape is made up of 6 different faces.

We know that this is a cube, so all the measurements of length and width are the same. We are given 15 for one of those, so we know that length and width are all 15.

Because we already determined that the surface area is all the face areas added up, we can now follow that pathway.

We know that there are 6 faces that are equal in the area (due to it being a cube). We also know that the width is the same as the length. That means the area of one face in the cube would be 225 cm^2. Since there are 6 of those faces, we multiply that by 6. 22*6 = 1350 cm^2

That's your answer.
Let me know if you have any questions.

…………………………. Just look at image. Need help

Answers

Answer:

Explained and Given Below.

Explanation:

manipulate sides by changing division to multiplication and solve, simplify.

solving steps:

(a)

[tex]\sf \dfrac{4}{7} \div \dfrac{5}{6}[/tex]

[tex]\sf \dfrac{4}{7} * \dfrac{6}{5}[/tex]

[tex]\sf \dfrac{24}{35}[/tex]

(b)

[tex]\sf \dfrac{3}{5} \div \dfrac{4}{5}[/tex]

[tex]\sf \dfrac{3}{5} * \dfrac{5}{4}[/tex]

[tex]\sf \dfrac{3}{4}[/tex]

(c)

[tex]\sf \dfrac{5}{8} \div \dfrac{7}{8}[/tex]

[tex]\sf \dfrac{5}{8} * \dfrac{8}{7}[/tex]

[tex]\sf \dfrac{5}{7}[/tex]

(d)

[tex]\sf \dfrac{7}{18} \div \dfrac{4}{9}[/tex]

[tex]\sf \dfrac{7}{18} * \dfrac{9}{4}[/tex]

[tex]\sf \dfrac{7}{2} * \dfrac{1}{4}[/tex]

[tex]\sf \dfrac{7}{8}[/tex]

Karl says 1×2=3 Andrea says 1×2=2.Who is correct?​

Answers

Answer:

Andrea is correct.

Step-by-step explanation:

When multiplying you are looking for the product, or how many times a number repeats itself.

Answer:

Andrea is correct because 1 times 2 equals 2 and 1 times 3 equals 3

write whether each number is an expression or an equation 9+b​

Answers

Answer:

9 + b is an expression

Step-by-step explanation:

Expressions don't have the = sign in them but equations do.

11, 20, 29, ...
Find the 48th term.

Answers

Answer:

434

Step-by-step explanation:

29-20=9

20-11=9

9*47=423

423+11=434

Answer is 434 First you do 29 - 20 = 9 Step 2 you do 20 - 11 = 9 Then multiply 9x47=423 Then finally Do 423-11= 432

Inverse of f(x)=-2x-5/-4x+9

Answers

Answer:

                                           

Step-by-step explanation:

How many 1/4 inches are in 1 inch? Draw a diagram to demonstrate your answer.​

Answers

Answer:

4

Step-by-step explanation:

I need help asap The average length of a female dolphin is about 181 inches (in).

What is this length in feet (ft) and inches (in)?

The length is ft in.

Answers

Answer:

the length of the female dolphin would be 9 ft 3 in

Answer:

15 ft and 6 inches

Step-by-step explanation:

Every foot is 12 inches, and 12 times 15 gets you the closest to 181 without going over 181. 12 times 15 is 180 so all you need is one inch to get to 181.

A raised flower bed is 25 feet long, 8 feet wide, and 1.5 feet deep. Find the area of the bed and the volume
of soil it holds. Show clearly your use of units for the calculation.

Answers

Answer:

The surface area of the raised flower bed is 499 feet. The volume of the solid it holds is 300.

Hope it helps!!!brainliest pls!!!

10 points, please help

Answers

Answer:

88.5

Step-by-step explanation:

(90+82+81+2x)/5=86

90+82+81+2x=430

2x=177

x=88.5

70 is 140% of what number?

Answers

The answer is x equals 50

Answer:

98

Multiplying both sides by 100 and dividing both sides by 140

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