Please help me with this:
The gas meter readings at the beginning and end of a period were:
6
4
9
6
6
7
8
5
The cost of the gas is 13p for each unit.
There is also a fixed charge of £21.45.
Calculate the cost of the gas.
You must show your working.
Answers
Answer:
£59.02
Step-by-step explanation:
find the amount of gas used: 6785-6496 = 289find the cost of the gas by multiplying the 289 by 13p = 3757p = £37.57add the cost of the gas to the fixed delivery charge £37.57+£21.45 = £59.02The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of units and 'y' be the total cost. Then the equation is given as,
y = 0.13x + 21.45
The number of units is calculated as,
x = 6785 - 6496
x = 289
The cost of the gas will be given as,
y = 0.13(289) + 21.45
y = 37.57 + 21.45
y = £59.02
The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Related Questions
A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd numbered ticket.
The probability of drawing an odd numbered ticket is __ %
Answers
Answer:
The probability of drawing an odd numbered ticket is 60%.
Step-by-step explanation:
Odd numbered tickets:
Probability of one is 1/5 plus half of 1/5.
[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]
Probability of 3 is half of 1/5.
[tex]P(X = 3) = \frac{1}{10}[/tex]
Probability of 5 is 1/5. So
[tex]P(X = 5) = \frac{1}{5}[/tex]
Probability of drawing an odd numbered ticket:
[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]
0.6*100% = 60%
The probability of drawing an odd numbered ticket is 60%.
HELLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Five friends take a maths test
Adam, Brandon, Chen together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores?
Answers
Answer:
Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Step-by-step explanation:
Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:
Adam + Brandon + Chen = 200
Damion + Erica = 150
Brandon + Chen + Damion = 215
Adam + Erica = 135
Chen + Damion + Erica = 224
Adam + Brandon = 126
Adam + Brandon = 126 + Chen = 200
Chen = 200 - 126
Chen = 74
Damion and Erica scored more than Chen
Chen + Damion + Erica = 224
74 + Damion + Erica = 224
Damion + Erica = 150
Damion = 75
Erica = 75
Brandon + Chen + Damion = 215
Brandon + 74 + 75 = 215
Brandon = 215 - 74 - 75
Brandon = 66
Adam = 350 - 75 - 75 - 74 - 66
Adam = 60
Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
RIGHT ANSWER WILL RECEIVE BRANLIEST, FIVE STARS, AND A THANKS
What effects do outliers have in the measures of central tendencies? Which measure would be the best to use?
Answers
Answer:
See below.
Step-by-step explanation:
An outlier can affect the mean by a lot. For example, if my neighbor moves out and Bill Gates moves in (he would be a super outlier!), the mean annual income would increase enormously.
The median, on the other hand, would not change at all. The income in the middle is still the income in the middle; Gates' income would not budge the median.
All of the following are examples of essay types that colleges typically aska student to write except O A. essays about you. B. essays about a specific topic, C. essays about work experience, D. essays about your college choice.
Answers
Answer: C. essays about work experience
Step-by-step explanation: I would chose C because when you apply for a job you are asked to write and an essay on your work experience. But in college, you are no applying for a job.
A jacket that normally sells for $160 is on sale for 25% off. What is the sale price of the jacket?
○ $40
○ $120
○ $135
Answers
$120
explanation:
160(0.75)=120
Pls help I’ll brainlest
Answers
Answer:
Choice B
Step-by-step explanation:
7.1×10⁵ = 710,000
Answer:
The answer is B. 7.1 times 10^5.
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.
In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.
La aparición de la escritura mara el fin de la prehistoria y el inicio de la historia
verdadero o falso
Answers
Answer:
Verdadero
Step-by-step explanation:
Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.
Answers
Answer:
6 kilometers serian15 mas 5
The tallest man alive today is 8 feet 3 inches. How tall is he in inches?
Answers
Answer:
99 inches
It should be correct, you can try and double check with goo gle though.
Answer:
99
Step-by-step explanation:
1 foot = 12 inches
12 × 8 = 96
96 + 3 = 99
99
a letter to PTA chairman about school problems
Answers
Answer:
Dear Chairman/or MR.?….
Re: Concerns regarding insanitary conditions/health of children
I would be grateful if you could let me have the latest Minutes of PTA Meetings particularly if they relate to the health of young people as it relates to the lack of proper cleaning and the general insanitary conditions in the toilets and areas where food is consumed by children
Whilst l am aware that schools are always short of cash for what may be regarded as non-essentials, l would like the opportunity to discuss with you my ideas on dealing with this very important aspect of basic hygiene, cleanliness and education if it is found to be that the insanitary conditions are such which young people themselves may be partly responsible. If funds are needed for the purchase of specific items l have suggestions as to the raising of funds for these.
I look forward to hearing from you as a matter of urgency.
Yours sincerely,
, if addressed by name/ faithfully, if not by name,
Step-by-step explanation:
I need to know where to put the lines
Answers
Answer:
put them on the points
Step-by-step explanation:
Find the area of the shape shown below...
Answers
Answer:
[tex]240~sq~units[/tex]-----------------
[tex]1/2*base*height+base*height[/tex][tex]=1/2*20*4+20*10[/tex][tex]=40+200[/tex][tex]= 240[/tex]----------------------
hope it helps...
have a great day!!
Helpppppppppppppppppp
Answers
Answer: tbh i think 20
Step-by-step explanation:
Sale! 10% OFF
of the original price!
The original price of a ticket to an amusement park is $60. What is the sale price?
Answers
What’s -7 and 2/3 plus -5 and 1/2
Answers
Answer:
[tex]-13\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-7\frac{2}{3} +(-5\frac{1}{2})[/tex]
[tex]-7\frac{2}{3} -5\frac{1}{2}[/tex]
[tex]-\frac{23}{3} -\frac{11}{2}[/tex]
Prime factorization of the numbers:
3 = 3 × 1
2 = 2 × 1
LCM of (3, 2) = 6
2 × 3
= 6
[tex]-\frac{79}{6}[/tex]
[tex]-13\frac{1}{6}[/tex]
Can someone help me please
Answers
9514 1404 393
Answer:
24.5 units
Step-by-step explanation:
The relationship of interest here is that the centroid (intersection of medians) divides each median into parts in the ratio 1 : 2. That is, the long segment is twice the length of the short segment, and the short segment is 1/3 of the total length. Of course, the median meets the side of the triangle at the midpoint of the side.
The desired perimeter is ...
P = CF +FX + XC
P = (1/3)YF + (1/2)XZ +(2)CE
P = (1/3)(21) +(1/2)(15) +(2)(5) = 7 +7.5 +10
P = 24.5 . . . . units
The perimeter of ΔCFX is 24.5 units.
I need the answer pls HELP
Answers
Answer:
14.526
Step-by-step explanation:
10.348+4.178=14.526
Answer:
The width of both boxes combined should be
10.348 + 4.178 = 14.526in
A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 through 4. A marble is drawn at random from the jar. Find the probability of the given event as a simplified fraction.
A. The marble is red
b. The marble is odd-numbered
c. The marble is red and odd-numbered
Answers
le A right triangle has a hypotenuse of 10m and a leg of 5m. What is the length of the second leg? Round to the nearest tenth.
Answers
Answer:
Length of 2nd leg is 8.7m.
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute.
5^2 + b^2 = 10^2
Solve.
25 + b^2 = 100
100 - 25 = 75
sqrt(75) = 8.66
Round.
8.66 ---> 8.7.
Solve the proportion: 144/a = 9/4
a=?
Answers
Step-by-step explanation:
eieueskhdbdjsikskskskjswhwjw
Tessellations
Determine whether the following regular polygon tessellates the plane.
Square
a. yes; measure of interior angle = 90
b. no; measure of interior angle = 90
c. yes; measure of interior angle = 45
d. no; measure of interior angle = 45
Please select the best answer from the choices provided
Answers
Answer:
A. Yes; measure of interior angle = 90
Step-by-step explanation:
I calculated it logically
HELP ASAP!! 50 POINTS!!!(picture included) What are the solutions to the system of equations?
Sy = 2:2 - 4x + 8
y=-22 +11
(-1,3) and (5, 13)
0 (-1, 13) and (3,5)
0 (-1, 1) and (-5, -13)
O (1,5) and (3, 13)
Answers
Answer:
B. (-1, 13) and (3, 5)Step-by-step explanation:
Solve by elimination:
x² - 4x + 8 = -2x + 11x² - 2x = 3x² - 2x + 1 = 4(x - 1)² = 2²x - 1 = 2 ⇒ x = 3x - 1 = -2 ⇒ x = -1Find values of y:
y = -2(3) + 11 = 5y = -2(-1) + 11 = 13The pairs are:
(3, 5) and (-1, 13)Correct choice is B
Find the first two equations that are needed to solve the following story problem: How many milliliters of a 5% acid solution and how many milliliters of a 17% acid solution must be mixed to obtain 60 mL of a 13% acid solution?
Answers
Answer:
Step-by-step explanation:
saw it on chegg
.05x+.17y=.13
x+y=60
The two correct equations are "[tex]0.05 x+0.17 y=0.13[/tex] and [tex]x+y=60[/tex]". A further solution is provided below.
According to the question,
Let,
Quantity of 5% acid solution will be "x".Quantity of 17% acid solution will be "y".Given total acid solution,
= 60 mL
then,
→ [tex]x+y = 60[/tex]...(equation 1)
We know that the concentration of mixture = 13%
hence,
→ [tex]5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)[/tex]
or,
→ [tex]0.05x+0.17y=0.13(60)[/tex]
Thus the above answer is correct.
Learn more:
https://brainly.com/question/259604
Can anyone solve this? I'm kind of stuck! Thank you!
Answers
Answer:
B
Step-by-step explanation:
0.25 (2d + 1) = 0.25(2d) + 0.25(1)
= 0.50d + 0.25
Answer:
The expression 0.25(2d+1) is equivalent
equivalent go 0.50d +0.25.
Step-by-step explanation:
If yoy simplify the expression if will be 0.5d+0.25
Solve for X
8 + x = 15
Answers
I hope this help
29x-7y=-17 solve for x
Answers
Answer:
[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]
Step-by-step explanation:
[tex]29x-7y=-17[/tex]
[tex]x= -7y/29 + -17/29[/tex] Divide every number by x except
GWF maintains a portfolio of 1000 shares of firm A worth $15/share and 3000 shares of firm B worth $10/share. You expect a return of 4% for stock A and a return of 9% for stock B. Calculate the Portfolio value.
Answers
Answer:
zwkwzdhkjzjjhhdkjhzkhjhjhdhkjzhkjhkzj
Step-by-step explanation:
For a is 1000 ×15= 15000. Then 15000 ×4%+15000=15600
For b 10 ×3000 = 30000 the. 30000×9%+30000=32700. 2700 +600= 3300 return total value
Find the area of the composite figure will give extra 100 points out if answer is right and brainlyst
Answers
Answer:
Decompose the figure into two rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.
Decompose the figure into three rectangles and add the areas.
Step-by-step explanation:
With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.
Estimate the difference of the decimals below by rounding to the nearest whole number. 23.827
- 1 .218
Answers
Step-by-step explanation:
The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.
23.827 rounds up because the 8 is more than 5.
1.218 rounds down because 2 is less than 5.
24-1= 23
Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp
Answers
Answer: 16590
Step-by-step explanation:
Let p be the population proportion of high school students in the area who attend their home basketball games.
As per given,
prior p = 0.5
Margin of error E= 0.01
Criticfor z-value for 99% confidence = 2.576
Sample size will be computed as
[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]
Hence, required sample size = 16590