The cost of the gas will be equal to £67.81 p.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that,
Initial gas reading = 8247
Final gas reading = 8631
The total consumed gas is given by,
Final gas reading - Initial gas reading → 8631 - 8247 = 384
Since the cost of gas is 11p per unit we have, the total cost of the gas consumed is given by
Cost of consumed gas = Units of gas consumed × Unit cost of gas
= 384 × 11p = 4224 p
100 p ≡ £ 1
4224 p = £42.24 p
The total cost of the gs is obtained by adding the fixed charge to the cost of gas consumed as follows,
£25.57 + £42.24 = £67.81 p
The cost of the gas = £67.81 p
The complete question is given below,
The gas meter readings at the beginning and end of a period were: 8247 = 8631 the cost of the gas is 11p for each unit. there is also a fixed charge of £25.57. calculate the cost of the gas. you must show your working
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decide whether the following situation is looking for part, the percent, or the whole.
81 of 270 pages in a book
PLEASE HELP quick it would help
81 of 270 pages in a book is a part of the situation.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
81 of 270 pages in a book.
Eighty one of two hundred seventy pages in a book.
In the given situation, A book has 270 pages in that we have taken 81 pages which are part of the book.
We have taken pat of the book,
In the given situation, book is whole and 81 is the part.
Hence 81 of 270 pages in a book is a part of the situation.
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initially, a $65$-foot ladder rests against a vertical wall such that the top of the ladder is $60$ feet from the ground. then, naoki moves the base of the ladder farther out from the wall so that the top of the ladder slides down until resting against the wall at a point $52$ feet above the ground. given that the wall is perpendicular to the ground, how many feet did naoki move the base of the ladder?
Naoki shifted the base of ladder by 14 feet as the updated distance is 39 feet and old distance was 25 feet.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc). Finding the elements of vectors, modeling the mechanics of waves (both electromagnetic and physical), summarizing the strength of fields, and using dot and cross products are all physics applications of trigonometry. You can use trigonometry quite a bit in projectile motion.
Here,
The length of ladder= 65 foot
It rest at a wall at height of 60 foot.
So distance of foot of ladder from wall,
=√(65²-60²)
=√625
=25 foot
Now, as the ladder is shifted, it rest on the wall at height of 52 foot.
=√(65²-52²)
=√1521
=39 foot
Shift in the base of ladder,
=39-25
=14 foot
As the updated distance is 39 feet and the previous distance was 25 feet, Naoki moved the base of the ladder up by 14 feet.
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please help. To convert to degrees Fahrenheit, use the formula F=95C+32, where C is the degrees in Celsius. Which is the first step to solve for Celsius if the temperature is 70 °F?
write the missing number = 1/2 of 18
please help me !!!!
Answer:
a) 9b) 18Step-by-step explanation:
a) 1/2 of 18 = ?
→ 1/2 of 18
→ (1/2) × 18
→ 18/2 = 9
So, answer is 9.
b) 2/3 of 27 = ?
→ 2/3 of 27
→ (2/3) × 27
→ 54/3 = 18
So, answer is 18.
We know that the diretrix is at x = 5 and that h = 2. This would make p =
When the directrix is at x = 5 and point in the vertex is at h = 2. Then P would be -3
What is P in parabolic equation?In the equation of parabola, P is defined as the distance between the directrix and the vertex
The vertex is defined by the points V ( h, k )
h is for the x coordinate
k is for the y coordinate
when the directrix is given in the x, we solve for P using h
P = h - point given for directrix
P = 2 - 5
P = -3
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Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
An ordered pair which makes both inequalities true is: C. (1, 2).
How to determine the true ordered pairs?In this exercise, we would test each of the ordered pair with the given system of inequalities in order to determine which is true.
For ordered pair (-1, 3), we have:
y < 5x + 2
3 < 5(-1) + 2
3 < -5 + 2
3 < -3 (False).
For ordered pair (0, 2), we have:
y < 5x + 2
2 < 5(0) + 2
2 < 0 + 2
2 < 2 (False).
For ordered pair (1, 2), we have:
y < 5x + 2
2 < 5(1) + 2
2 < 5 + 2
2 < 7 (True).
y > x/2 + 1
2 > 1/2 + 1
2 > 3/2 (True)
For ordered pair (2, -1), we have:
y < 5x + 2
-1 < 5(2) + 2
-1 < 10 + 2
-1 < 12 (True).
y > x/2 + 1
-1 > 2/2 + 1
-1 > 2 (False)
For ordered pair (2, 2), we have:
y < 5x + 2
-1 < 5(2) + 2
-1 < 10 + 2
-1 < 12 (True).
y > x/2 + 1
2 > 2/2 + 1
2 > 2 (False)
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Answer:
B , C
Step-by-step explanation:
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2) Edge 2022
What is the size of an angle called a revolution
Answer:
Step-by-step explanation:
The size of the angle of one whole revolution is 360 degrees. A revolution describes the angle of a circular surrounding sector as it rotates! This means one full revolution is 360 degrees. And half of a revolution is 180 degrees!
Write a function that describes the area of the water puddle on the floor as a function of its radius. Use function notation
The formula that plots the radius against the area of such water puddle here on floor; A = πr².
Describe the term surface area?The area is the area occupied by just a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space occupied by its outer surface. A three-dimensional structure with parallel circular bases is characterized as a TA cylinder. There are no vertices on it. Area of three-dimensional shapes mainly refers to surface area.For the given question,
Let the area of the water puddle on the floor be 'A'.
Let the radius of the water puddle be 'r'.
Then, using the area of the circle,
The function for the area of the water puddle be,
A = πr²
Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².
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Which rule explains why these triangles are congruent
Answer:
A
Step-by-step explanation:
∠ A = ∠ P
∠ C = ∠ R
AC = PR
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
The included side is the side between the vertices of the 2 angles.
Then the triangles are congruent by the ASA postulate
Description of End behavior "-x^4-x^3+3x^2+2x+6"
The end behavior of the function is f(x) → -∞, as x→ -∞ and f(x) → -∞, as x→ +∞.
What is the end behavior of a function?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
For extremely big or very tiny values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behavior based on the sign of the leading coefficient.
The given function is -x⁴ -x³ +3x² +2x +6
The degree of the given function is even and the leading coefficient is negative. So,
End behavior is given by
f(x) → -∞, as x→ -∞
f(x) → -∞, as x→ +∞
The graph looks as follows:
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PLS HELP I DONT UNDERSTAND THIS-
Which types of classification does e fall under? Select all the different classifications.
A) Natural numbers
B) Whole numbers
C) Integers
D) Rational numbers
E) Irrational numbers
F) Real numbers
20 plants were measured and their heights were recorded in cm. Here are the heights: draw a frequency polygon to represent the data
(also, I just need b, I've done A)
pls help me wit this
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint?
The ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint 4:9.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint.
So, the ratio of gallons of blue paint to gallons of yellow paint is
= 5 to 9 or 5:9
Now, ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint
= 1- 5/9
=4/9
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Solve for x.
x/2 + 1 = √3
The solution of x when solving x/2 + 1 = √3 is :
x is 2√3 - 2 .
What is the solution of x?Find the value of x that would make the equation you see true is what it means to "solve for x." Consider the following formula: x + 1 Equals 3. If you were to attempt to solve it, you would need to identify a value for x such that it yields three when one is added.
Here in the question given equation ,
x/2 + 1 = √3
To find solution,
we have to subtract 1 from LHS and RHS of equation,
⇒ x/2 + 1 - 1 = √3 - 1
⇒ x/2 = √3 - 1
Next multiply both sides by 2
2( x/2) = 2(√3 -1)
By simplifying both sides we get,
x = 2√3 - 2
So the value of x = 2√3 -2.
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why is it important to create a budget even if you don’t get a lot of money or if you have an irregular income?
Answer:
it is important because this will be helpful for your incomes, tax, bills etc. This also will plan for other things that you might pay like savings.
Step-by-step explanation:
Please help me
Slope=
Y- intercept=
Equation=
Slope:
The slope is found with m = (y2 - y1) / (x2 - x1).
You can use any two points, so I'd pick ones with positive x and y values.
Using (1,5) and (3,3):
m = (3 - 5) / (3 - 1) = (-2)/(2) = -1
The slope is -1.
To find the y-intercept, we can go to the point (-1,7) and use the slope of -1. A slope of -1 means that if x goes up by 1, then then y goes down by 1. So if we go from x=-1 to x=0, then the y-value of 7 will go down by 1.
y-intercept (0,6)
The equation in slope-intercept form is y = -x + 6, since we already found the slope and y-intercept.
Find a formula for the nth term in this
arithmetic sequence:
a1 = 7, a2 = 4, a3 = 1, a4 = -2, ...
The formula for nth term in the given arithmetic sequence is 10 - 3n
For an nth term in an arithmetic sequence
U(n) = a + (n - 1)d
Where n is the number of terms
a is the first term
d is the common difference
From the sequence above
a = 7
d = 4 - 7 = - 3
The formula for an nth term is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
Hence, the formula for nth term is 10-3n
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1. the following two points are located on a line (-12, 6). and (4,6), find the slope of the line.
2. Solve for the value of x : 2/8 = 3/x+2
thank you! this assignment is graded on accuracy so please try your hardest!!
The slope of the linear equation is 0, and the solution of the second equation is x = 10.
How to find the slope of the line?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the slope is:
slope = (y2 - y1)/(x2 - x1)
So if the line passes through (-12, 6) and (4, 6), the slope is:
slope = (6 - 6)/(4 + 12) = 0
The slope is 0.
2) How to solve the equation for x?
Here we have the equation:
2/8 = 3/(x + 2)
If we move the denominators we get:
2*(x + 2) = 3*8
2x + 4 = 24
2x = 24 - 4
2x = 20
x = 20/2 = 10
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[tex]\sqrt{|x|^2} =x[/tex]
Answer?
The solution to the equation given as √|x|² = x is x ≥ 0
How to solve the equation?From the question, the representation of the equation is given as
√|x|² = x
To start with;
We evaluate the square root expression in the equation
So, we have the following representation
|x| = x
The above implies that the absolute value of a number equals the number
As a general rule of absolute values, the absolute value of a number is positive
This can be represented as
x ≥ 0
Hence, the solution to the equation is x ≥ 0
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Find the sum of the measures of the interior angles of each convex polygon.
Answer:
Step-by-step explanation:
interior angles of polygons:
180(n-2)
1. =180(11-2)
=180(9)
=1620
2. 180(17-2)
=180(15)
=2700
At school, 40% of the sixth grade students said that hip hop was their favorite kind of music. If 100 sixth grade students prefer hip hop music how many sixth graders are at the school
If 100 sixth grade students prefer hip hop music, the number of sixth graders at the school is 250.
How many sixth graders are at the school?Percentage is a measure of frequency that is used to express a number as as a fraction of 100. In order to change a value to percentage, multiply the number by 100. The sign that represents percentage is %.
In order to determine the number of sixth graders, divide the number of sixth graders that prefer hip hop music by the percentage.
Number of sixth graders = number that prefer hip hop / percentage
100 / 40%
100 / 0.4 = 250
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Can someone pls help me it’s do in 10 mins
The value of x is 22.5528.
Let ABC be the triangle , <A = 70, <B = 30 ,<C = 80.
Sum of angles in a triangle is 180.
70 + 30 + <C = 180
<C = 180 - 100
<C = 80.
Let sides be a = x , b = 12 and c = ?
According to sines law,
a/sin A = b/sin B = c/sin C
substitute a ,b,A,B values
a/sin A = b/sin B
x/sin 70 = 12/sin 30
x = 0.9397*12/1/2
= 11.2764*2/1
x = 22.5528.
Therefore the value of x is 22.5528.
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What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
?
0.33
33.3%
Answer:
Step-by-step explanation:
1 / 3
Reason being: 100 / 3 = 33.333333333
Find the total amount given the original price, tax rate, and tip rate.
Original price: $90.34
Tax rate: 3.5%
Tip: 20%
Answer: 5468.9
Step-by-step explanation:
Answer:
I think its $90.75
Hopefully its right :)
Which of the following numbers could be the probability of an event?
1, -0.5, 0.29, 0.06, 1.18, 0
Question: The numbers that could be a probability of an event are_
(Use a comma to separate answers as needed.)
The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.
Explain about the probability?
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.
-0.5 cant be a probability because it is less than 0
0.29 can be a probability because it is more than zero.
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The numbers that could be a probability of an event are 0.29 and 0.06
What is a probability?An event's probability is always between 0 and 1. (inclusive).
This implies:
There can be just one.
It must be zero or less.
Evaluation of Option (a) - 0.5
This cannot represent probability (b) 0.29 because it is less than 1,
This can be used to represent probability (c) 0.06 since it lies between 0 and 1.
This can be used to indicate probability (d) 1.18 since it is less than 1.
Given that this is larger than 1, it cannot be a probability (e) 0
A probability is not zero.
This ranges from 0 to 1, so it can be used to express probability.
Therefore, 0.29 and 0.06 can be used to indicate probabilities.
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Write the following equations in slope intercept form
1. 4x - 3y = 2
2. 3x + 2y = -3
1.
The slope intercept form is y=mx+b
4x-3y=2
subtract 4x from both sides
3y=2+(-4x)
Divide by 3
y=2/3+(-4x/3)
simplify:
y=2/3-4x/3
reorder:
y=-4/3x+2/3
slope= -4/3, y intercept= 2/3
2.
In the same way,
3x+2y=-3
2y=-3-3x
y=-3/2 - 3x/2
y+3/2=-3x/2
y=-3x/2-3/2
y=-3/2x-3/2
slope=-3/2, y intercept= -3/2
I hope this helped you.
help me please please please triangle 2222
The surface area of the triangular prism is 936 cm².
How to find the surface area of a triangular prism?In geometry, a triangular prism is a three-sided prism.
Therefore, the surface area of the triangular prism can be calculated as follows:
surface area of triangular prism = bh + L(x + y + z)
where
b and h are the base and height of the triangular baseL is the height of the prism.x, y and z is the side of the triangle.Therefore,
surface area of triangular prism = 24 × 18 + 7(18 + 30 + 24)
surface area of triangular prism = 432 + 7(72)
surface area of triangular prism = 432 + 504
surface area of triangular prism = 936 cm²
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WILL MARK BRAINLIEST
Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret ƒ(10).
ƒ(x) = 0.08x3 + x2 + x + 0.26
Answer:f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is 190.26 kW
dean halverson recently read that full-time college students study 20 hours each week. she decides to do a study at her university to see if there is evidence that students study an average of more than 20 hours each week. a random sample of 31 students were asked to keep a diary of their activities over a period of several weeks. it was found that the average number of hours that the 31 students studied each week was 22.4 hours. the sample standard deviation of 3.7 hours.find the p -value. the p -value should be rounded to 4-decimal places.
Dean halverson recently read that full-time college students study 20 hours each week. 0.000519 is the p -value.
How to find the p-value ?
Given :
Population mean, μ = 20
Sample mean, xbar = 22.4
Sample standard deviation, s = 3.7
Sample size, n = 31
The hypothesis :
H0 : μ = 20
H0 : μ > 20
The test statistic :
(xbar - μ) ÷ (s/√(n))
T = (22.4 - 20) ÷ (3.7/√(31))
T = 2.4*5.6 ÷ 3.7
Test statistic = 3.632
Using the Pvalue calculator :
df = n - 1 = 31 - 1 = 30
Pvalue(3.632, 30) = .000519.
The p-value is .000519.
The result is significant at p < .05
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