A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using x as the number of units used in a month and y as the total
monthly cost, write an equation

Answers

Answer 1
Y=12.60+0.64x

$0.64 is charged for each unit which is represented by x. Therefore .64 is multiplied by x. 12.60 is the charge you have no matter what every month. So if you don’t use any gas you would still pay $12.60.
Answer 2

y = 12.60 + 0.64x

Step-by-step explanation:

y = $12.60 + $0.64(x)

y = 12.60 + 0.64x


Related Questions

36 is what percent less than 60?

Answers

Answer:3540

Step-by-step explanation:

36 percent is-3600%

3600-60=3540

Answer:

Step-by-step explanation:

ham sandwich 22

The director of student life at a university wants to estimate the proportion of undergraduate students who regularly park a car on campus. Describe how to select a stratified random sample of approximately 100 students. Explain your choice of strata and why stratified random sampling might be preferred in this context.

Answers

Random sampling involves selecting a sample where each element of the sample have an equal probability of selection.

From the question, we understand that the director wants to make use of a stratified random sampling technique.

The stratified random sampling technique involves selecting the sample (i.e. 100 students), by dividing the whole undergraduate students into groups (i.e. strata), and then select a proportion from each group.

A possible way to achieve this, is as follows:

Divide the undergraduate students in faculties (assume the university has 10 faculties)Then select 10 students from each of the 10 faculties.

With the above highlights, the director would be able to make the selection.

Read more about random sampling at:

https://brainly.com/question/12719654

Will give brainliest answer

Answers

Answer: Sin(©)=4/5

Step-by-step explanation: Cos(©)=3/5

Sin(©)=?

By Trigonometric identity,

Sin²(©) + Cos²(©) = 1

Sin²(©) = 1- Cos²(©)

Cos²(©) = (3/5)² = 9/25

Sin²(©) = 1- 9/25 = 16/25

Taking the root of both sides,

√(Sin²(©)) = √(16/25)

Hence, Sin(©) = 4/5

Hope it helps!

Eduardo bought two heads of cabbage for
$1.80. How many heads can Maria buy if
she has $25.20?

Answers

Answer:

28

Step-by-step explanation:

two heads of cabbage is 1.80

1.80/2 = 0.90 per cabbage

25.20/.90 = 28

Maria can buy 28 heads of cabbage.

Answer:

maria can buy 28 cabbages

Step-by-step explanation:

$180×2=90

and

90×28 = 2,520

pls help its hw
10 points

Answers

Answer:

Step-by-step explanation:

1. To find  a rational number between two numbers, divide the sum of the number by 2,

 

(1/4 + 1/2) × 1/2

=> [ (2 + 1)/4] × 1/2

=> 3/4 × 1/2

=> 3/8

3/8 is a rational number between 1/4 and 1/2

3. any positive number is greater than a negative so 1 2 3 4 5 6 7 8 9 and -2

Answer:(1/4 + 1/2) × 1/2

=> [ (2 + 1)/4] × 1/2

=> 3/4 × 1/2

=> 3/8

3/8 is a rational number between 1/4 and 1/2

3. any positive number is greater than a negative so 1 2 3 4 5 6 7 8 9 and -2

Step-by-step explanation:

Solve the inequality
X/2-5> 4

Answers

Answer:

x/2-5>4

x/2>4+5

x>9/2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Write 245.499 in word form.

Answers

Hey there!

• ORIGINAL FORMATION

245.499

• EXPANDED FORMATION

= 200 + 40 + 05 + 0.4 + 0.09 + 0.009

= 245.499

• EXPANDED EXPONENTIAL FORMATION

= 2 * 100 + 4 * 10 + 5 * 1 + 4 * 0.1 + 9 * 0.01 + 9 * 0.009

• WORD FORMATION

= “ two hundred forty-five and four hundred ninety-nine thousandths”

Therefore, your answer is:

“two hundred forty-five and four hundred ninety-nine thousandths“

Random fact: if you have decimal in a(n) equation, you’ll have to add “-th” at the end of the word when you’re turning/converting it to the word form of it. Decimals are BELOW 0 and they are LESS 1.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16

Answers

Answer:

[tex]f( \frac{3}{ {x}^{2} - 16 } ) = ({\frac{3}{ {x}^{2} - 16 }})^{2} - 7(\frac{3}{ {x}^{2} - 16 }) + 12 \\ = \frac{9}{ {x}^{4} - 32 {x}^{2} + 256 } - \frac{21}{ {x}^{2} - 16} + 12[/tex]

PLEASE HELP ME ON THIS QUESTIOn!!

Answers

Answer:

it's the third one

Step-by-step explanation:

-1/6a +3. 1/3a-5

you add 3and 5

which is 8

then you have negative and positive which is a negative

hope this helps

Hewo!
The answer Its c
Have a good day! :3

The temperature at​ 8:20 P.M. is 3degreesC. If it has dropped 1degreesC per​ minute, what was the temperature at 7 : 50 ​P.M.?

Answers

Answer:

33°C

Step-by-step explanation:

The time between 8:20 and 7:50 is 30 minutes. If it drops 1°C per minute you multiply this number by the amount of minutes which would be 30. This becomes 30°C. Then add the 3° it's at now to become 33°C.

A plane flies at a speed 580 km/hr at a constant height of 16 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 125 km away from the observer?

Answers

Answer:

-0.584 rad/hr, rounded to the nearest 1000th  

Step-by-step explanation:

Let D = D(t) = the horizontal distance from the observer to the plane at time t in units of km.  

Let E = E(t) = the angle of elevation at time t in units of Radians.

Then, by geometry,

tan(E) = 16 / D, and furthermore, we have that

tan(E) = 16 * D^(-1)

d/dt (tan(E)) = d/dt ( 16 * D^(-1))

sec^2 (E) * dE/dt = 16(-1)(D^(-2)) * dD/dt

( sqrt(D^2 + 16^2) / D )^2 * dE/dt = -16 (D^(-2)) * dD/dt

(D^2 + 16^2)/D^2  *  dE/dt = -16 (D^(-2)) * dD/dt

dE/dt = -16 (D^(-2)) * dD/dt * D^2 / (D^2 + 16^2)

dE/dt = -16 (dD/dt) / (D^2 + 16^2)

dE/dt = -16 (580 km/hr) / (125^2 + 16^2), at time t such that D(t) = 125 km,

dE/dt = (-9280 / 15881) rad/hr

dE/dt = -0.584 rad/hr, rounded to the nearest 1000th

 

8x−5y=−11 solve for y and x intercept

Answers

X intercept 1.375
Y intercept -2.2
Here is the correct answer! Hope this helped

pls help pls help pls help pls help pls help

Answers

1. 4 + 5x = 16

2. (5-4)x = 16

3. 16 - 4x = 5

Solve the following system using elimination
2a + 4b = 6
- a - 2b =- 3

Answers

This cannot be solved, as both equations simplify to a + 2b = 3.

Answer:

5a-2b=3

2a+4b=6

I hope it's not rong my answer

Evaluate each function for the given input values. For f (x)=x 2- 5, find f (x) when x= 0 and when x= 3

Answers

Answer:

f(x) = x² - 5

so f(0) = 0² - 5 = 0 - 5 = - 5

and f(3) = 3² - 5 = 9 - 5 = 4

Help! I will give brainilest to correct answer UwU

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here's the solution :

[tex]1 \dfrac{1}{2} [/tex]

[tex] \dfrac{3}{2} [/tex]

[tex]1.5[/tex]

therefore , correct choice is B

Answer:

B. 1.5

Step-by-step explanation:

To turn a fraction into a decimal, make the denominator (the bottom number) 100 since you are only using the tenths place of a decimal:

1/2 x 50/50 = 50/100 = 0.5

Then add the whole number:

1 + 0.5 = 1.5

Abby is traveling to Berlin and will take $1,200 to convert to euros. The current
exchange rate is 1 U.S. dollar per 0.89 euros. How many euros will she have when
she converts her money to euros?
1,200 euros
1,348 euros
0 1,176 euros
1,068 euros

Answers

Answer:

What is 1,348 euros

Step-by-step explanation:

1200(us dollars)/.89(euro exchange rate)= 1348.00

Hope this helps ; )

Miss Hawaii

Mr. Cash bought d dollars worth of stock. During the first year, the value of the stock tripled. The next year, the value of the stock decreased by $1200. (a) Write an expression in terms of d to represent the value of the stock after two years. (b) If an initial investment is $1,000, determine its value at the end of 2 years.

Answers

Answer:

1. 3D-1200 = value after two years.

2. $1800 = value after two years

Step-by-step explanation:

When the value of D triples, 3 times D = 3D. value of the stock after two years decreased, would be the -1200.

When you get the value of 1,000 you can plug it in to get 3 (1000) - 1200 = Stock price after two years

What value of x is in the solution set of -2(3x + 2) > -8x + 6?
0 -6
-5
ܬ ܗ ܗ
0 5
0_6

Answers

Answer: [tex]\large \boldsymbol {\rm x>5 \ or \ x\in (5\ ; \ \infty ) }[/tex]

Step-by-step explanation:

[tex]\large \boldsymbol {} \displaystyle -2(3x+2)>-8x+6 \\\\ -6x-4>-8x+6 \\\\ 8x-6x=6+4 \\\\ 2x>10 \\\\ x>5 \ or \ x\in (5\ ; \ \infty )[/tex]

Kathy had $10 and gave half of it to her brother. She then gave a third of the remaining
amount to a friend. How much money will Kathy have left?

Answers

Kelly has $10

- half: $10 - 1/2 x $10

$10 - $5 = $5

- one third: $5 - 1/3 x $5

$5 - $1.6667... or $5 - $1 and 2/3 = $3.33... or $3 and 1/3 or $10/3

She will have left $3.33 left, or $3 and 1/3

Huilan is 5 years older than Thomas. The sum of their ages is 57. What is Thomas's age?

Answers

Answer:

21

Step-by-step explanation:

You can write this question out with two separate formulas, the first one being H - 5 = T, and the second being H + T = 57. I am using the variables of H and T to show the ages of Hulian and Thomas respectively. From here, we can use the substitution formula since we already know what T is equal to (H - 5). Substituting the equation in, we get a new equation of H + (H + 5) = 57. Subtracting 5 from both sides gives us the equation of H + H = 52, or 2H = 52. Dividing by 2 yields the answer of 26 for Hulian's age. Since we know that Hulian is 5 years older than Thomas, we can subtract 5 from 26, giving us Thomas' age, which is 21.

Answer:

23.5

Step-by-step explanation:

=57/2

=28.5-5

=23.5

thomas is 23 years and 6 months old

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

1. Given

2. Given

3. Definition of perpendicular lines

4. Definition of midpoint

5. Reflexive property

6. SAS

Step-by-step explanation:

It's correct

The distance s that an object falls varies directly with the square of the time t of the fall.
If an object falls 16 ft in one second, determine the constant of variation k in the equation of
variation 2s kt= , and complete the following table of values for the distance s that an object
falls for different times t of the fall.
Table:
Time t distance s
1 seconds
2 seconds
3 seconds
4 seconds

Answers

The answer is 1 seconds

Gannets start their dive at 30 meters above sea level. They plunge at a speed close to 100 km/hr, diving 21 meters below the sea level. What is the total distance of the Gannet’s dive from the start of the descent to the lowest point.e descent to the lowest point.

Answers

Step-by-step explanation:

30+21= 51 meters

I think this is the answer

I never understand math

Answers

Answer:

0.0017

Step-by-step explanation:

Just divide 0.17 by 100 = %=N/100

0.17÷100=0.0017

Point A has coordinates (-5, 3). If point (1,6) is
of the way from A to B what are the coordinates of point B?

Answers

Answer:

[tex](3, 7)[/tex]

Step-by-step explanation:

 (4/3)P -(4/3)A + A = B . . . . . . add A

 (4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

 B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

 B = (3, 7)

An arts academy requires there to be 6 teachers for every 144 students and 5 tutors for every 40 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students

Answers

Answer:

3 teachers and 9 tutors

Step-by-step explanation:

Answer:

There are 24 students per teacher and 8 students per tutor. If the academy has 72 students, then 9 tutors would be needed.

Step-by-step explanation:

We will start with the question, how many students does the academy have per teacher. To find this, we need to set up the equation. 144 will be the number of students, 6 will be the number of teachers, and x will be the number of students per teacher.

144/6=x

24=x

So, there are 24 students for every teacher.

We could also do this as a ratio. We would do the same thing. We would divide by six to get our answer.

144:6

Make the six one.

24:1

This shows that there are 24 students for every teacher.

Now to find out how many per tutor.

We will do the same thing as before, minus the ratio, though you could still use the ratio. Remember, 40 is the number of students, 5 is the number of tutors, and x is the number of students per tutor.

40\5=x

8=x

So there are 8 students per tutor.

Now we will use this knowledge to solve for how many tutors are needed if the academy has 72 students.

We will set up our equation. 72 will be the students, we will use eight since that is how many students are needed per tutor, and x will be the number of tutors needed.

72/8=x

9=x

So this means that if the academy has 72 students, then it will need 9 tutors.

A thread was folded in half, and then it was folded again, forming a bundle. Then the thread was cut into pieces by a striaght cut through the enitre bundle. Ine of the pieces is 8 cm, and the longest piece is 18 cm. What is the longest possible length of the thread

Answers

The longest possible length of the thread is;

Length = 144 cm

Let the length of the thread be x cm.

Now, it is first folded in half. This means divided into 2. Thus, we now have length as x/2.

We are told it is folded again. This means the length after second folding is now; (x/2) ÷ 2 = x/4.

We are told that there is now a straight cut through the entire bundle with one of the pieces being 8cm and the longer piece being 18 cm.

This means the ratio is; 8:18

Since the new length after the final folding is x/4, then it means after cutting;

longer length will be; [tex](\frac{18}{8 + 18})[/tex] [tex]* (\frac{x}{4})[/tex]

Thus, we now have;

18 = (18/26) × (x/4)

18 will cancel out to give; x = 26 × 4

x = 144 cm

Therefore the longest possible length of the thread = 144 cm

Read more at; https://brainly.com/question/3873145

Go to quora to answer this question

I thought it was 144 but it is not

Ethan buys cookies and onions at the store.
He pays a total of $55.48.
He pays a total of $3.48 for the cookies.
He buys 8 bags of onions that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of onions costs.

Answers

Answer:

$6.5

Step-by-step explanation:

Given:

Total cost = $55.48Cookies = $3.48Onions = 8 bags for x each

Equation:

8x + 3.48 = 55.488x = 55.48 - 3.488x = 52x = 52/8x = 6.5

Each bag of onions costs $6.5


A 8-oz iced tea at a certain restaurant has 80 calories. How many calories are there in a 21-oz iced tea?
The 21-oz iced tea has
calories.

Answers

So if 8oz is 80 calories it’s like a proportional equation so 8*3 is 21 then 80*3 is 240
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