The range in which the usage vary is from 682.77 kilowatt-hours to 2867.11 kilowatt-hours.
Given the charge of electricity charge is 6.434 cents per kilowatt-hour.
Fixed customer charge = $7.81
Bill range = $51.74 to $192.28
Since every value is in $ , we will first convert cents to dollar
per kilowatt-hour charge will be $6.434/100 ( as $1 = 100 cents )
per kilowatt-hour charge = $ 0.06434 …(1)
Lets us first find the lower range of usage
Last year's lowest bill was $51.74 (including the customer charge)
So last year lowest bill = $51.74-$7.81 = $43.93 …(2)
We know that (per KWh charge)x(no. of KWh used)=Total bill. …(3)
Substituting the values from (1) & (2) we get
(0.06434)x(no. of KWh used)=$43.93
no. of KWh used=[tex]\frac{43.93}{0.06434} = 682.77 KWh[/tex]
Similarly we will solve for maximum KWh used
Lets us find the maximum range of usage
Last year's highest bill was $192.28 (including the customer charge)
So last year highest bill = $192.28-$7.81 = $184.47 …(4)
Substituting the value of (1) & (4) in (3) we get
(0.06434)x(no. of KWh used)=$184.47
no. of KWh used=[tex]\frac{184.47}{0.06434} =2867.11 KWh[/tex]
Therefore , the The range in which the usage vary is from 682.77 kilowatt-hours to 2867.11 kilowatt-hours.
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I need help with these questions
Answer:
17. (2/5)
19. (-7/3)
21. (2/3)
Step-by-step explanation:
17.
5 5 1
- -------n + ------n = - ------
2 4 2
5 (2) 5 1 (2)
- -------n + ------n = - ------
2 (2) 4 2 (2)
10 5 2
- -------n + ------n = - ------
4 4 4
10 5 2
(- -------n + ------n = - ------) (4)
4 4 4
-10n + 5n = -2
-5n = -2
÷ -5 ÷-5
n = (2/5)
----------------------------------------------------------------------------------------------------------
19.
3 15 21
-------n - -------n = -------
2 4 4
3 (2) 15 21
-------n - -------n = -------
2 (2) 4 4
6 15 21
(-------n - -------n = -------) (4)
4 4 4
6n - 15n = 21
-9n = 21
÷-9 ÷-9
n = (-7/3)
----------------------------------------------------------------------------------------------------------
21.
1 5
- -------n - n = - -------
4 6
1 (3) 5 (2)
- -------n - n = - -------
4 (3) 6 (2)
3 10
- -------n - n = - -------
12 12
3 10
(- -------n - n = - -------) (12)
12 12
-3n - 12n = -10
--15n = -10
÷-15 ÷-15
n = (2/3)
----------------------------------------------------------------------------------------------------------
I hope this helps!
The cost, c, for catering a luncheon using Right On Catering is c=120+12m+10v where m is the number of meat lunches and v the number of vegetarian lunches being served at the luncheon.
a.) Solve the equation for v.
b.) If the cost for the luncheon was $558 and 24 attendees ordered the meat lunches, how many vegetarian lunches were served?
Answer:
if the cost for the luncheon was $558
and 24 attendees ordered the meat lunches , how many vegetarian lunches were
Step-by-step explanation:
Answer:
Step-by-step explanation:
What number must be added to both the numerator and the denominator of the fraction 2/3 to get the fraction 7/8?
Answer:
Step-by-step explanation:
Answer is 5
2 + 5 = 7
3 + 5 8
Describe how to graph the solution of
The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Given the inequality,
y ≤ −x² + 2x
The inequality consists of two functions,
y ≤ -x² and y ≤ 2x
Now if we plot both inequalities
x = 0 ⇒ y = 0
And,
2x ≤ -x²
-x²/x ≥ 2
x ≤ -2
So,
y ≤ 2(-2)
y ≤ -4
If we plot both as shown below then the bounded region is obtained towards the right therefore the solution will be greater than this.
Therefore (x,y) ≥ {(0,0) and (-2,-4)} will be solution.
Hence "The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis".
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Which mathematical term cannot be precisely defined? line segment point circle ray
Solve for x. please show work for answer on paper
3x – 8 – 4x = -13
A) 3 The weapon was not an algebra book.
B) -3 The weapon was not a promethean pen.
C) 5 The weapon was not a calculator.
D) -5 The weapon was not a protractor.
E) 5/7 The weapon was not cafeteria food.
Answer:
c) 5
Step-by-step explanation:
Solving for the value of x,
→ 3x - 8 - 4x = -13
→ 3x - 4x = -13 + 8
→ -x = -5
→ [ x = 5 ]
Thus, the value of x is 5.
Answer:
5
Step-by-step explanation:
Use PEMDAS
First you should do is to combine like terms
[tex] - x - 8 = - 13[/tex]
Haveing combined ike terms you need to add 8 to both sides (Like terms are terms that have the same variable like,x)
[tex] - x = - 5[/tex]
Then divide by a negative 1
(this is to get rid of negative x)
[tex]x = 5[/tex]
Hope this helps!
Feel free to ask questions
What is the approximate value of the 16th percentile of corn yield for counties in iowa?
16th percentile of corn yield for counties in iowa is 153.4.
What is percentile?In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.
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The sum of two consecutive integers is 187. Find the integers.
The temperature at 5 p.m. is 20 degrees. the temperature at 10 p.m. is -5 degrees
Consider the function f(x) = x² + 3x - 7. Find the value of f(x) when x = 3 and select the correct answer below. (5 points)
05
8
11
18
HELP URGENT!! EVERYTHING INCLUDED IN PHOTO!!
Answer:
Part A is 63-7.5
Step-by-step explanation:
Pls pls help whoever gets it right gets a crown
Answer: -104y^2 + 52y
Step-by-step explanation:
-13y(8y-4)=
-13y*8y - 4(-13y)= ==> distribution property
-13*8*y*y - (-52y)=-104y^2 + 52y
how do you find the domain and range of a continuous graph???
Answer:
So, when talking about continuous functions, we're dealing with a function/graph that goes on and on to infinity. It never ends. In a case like this, we must define domain and range. Domain is all input values, while range goes the same but it's the output values. With this information, the domain and range on a continues graph would most likely be all real numbers due to the fact of the graph never ending, and that means the graph would have every input value thus making its domain/range infinite as well.
➲ Hope this helps.
What is the prime factorization 18 and 24
Answer:
(2 × 3 × 3) and (2 × 2 × 2 × 3).
a function is a relation in which each possible input value leads to exactly one output value. the input values make up the range and the output values make up the domain
A relation between sets is referred to as a function when there is exactly one output for each input.
Which statement is true?A function is a relation where each output value is assigned to exactly one input value.The domain of a function is the set of all output values, or y-values, for which the function is defined.The range of a function is the set of all input values, or x-values, for which the function is defined.To write the equation y = ax + b in function notation, substitute f(x) for y.?To write the equation y = ax + b in function notation, substitute f(x) for y
The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
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A farmer has 120 bushels of apples to sell at his stand. he sells an average of 16 3/5 bushels each day. represent the total change in the number of bushels he has for sale after 7 days
The total change in the number of bushels he has for sale after 7 days = 116.2
In this question,
A farmer sells an average of 16 3/5 bushels each day.
We write above improper fraction 16 3/5 in proper fraction as 83/5
And the decimal form of given fraction 83/5 is:
83/5 = 16.6
After 7 days, he would sold (16 3/5) × 7 bushels.
We simplify an expression (16 3/5) × 7
(16 3/5) × 7 = 16.6 × 7
= 116.2
As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.
Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2
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Fill in the gap to factorise -16z - 12 = −4(-
Answer:
- 4(4z + 3)
Step-by-step explanation:
- 16z - 12 ← factor out - 4 from each term
= - 4(4z + 3)
What is the product of −2 1/4 and 2 1/2?
help me
The problem is asking for the product, meaning we need to multiply.
-2 1/4 * 2 1/2
To make multiplying easier, we can convert the mixed numbers into improper fractions.
2 * 4 = 8, + 1 = 9/4
2 * 2 = 4, + 1 = 5/2
Now, we have this:
-9/4 * 5/2
Since the denominators are different, we can find the least common multiple of the denominators to make them the same. In this case, the least common multiple of 4 and 2 is 4.
-9/4 * 1 = -9/4
5/2 * 2 = 10/4
Now, we have this:
-9/4 * 10/4
We can now multiply!
-9 * 10 = -90
/4 * /4 = /16
= -90/16
You can simply the improper fraction if you'd like.
-90 / 16 = -5.625
So, our answer is -90/16, or -5.625.
1/3 of x is 14 plsss helppp
Answer:
42
Step-by-step explanation:
1/3 * x = 14
x/3=14
3*x/3=14*3
x=42
PLEASE DONT STEAL MY POINTS AND BEST ANSWER GETS BRAINLEST.
A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)
Part B: Find the falcon's rate in meters per hour. (3 points)
Part C: Find the falcon's rate in kilometers per hour. (3 points)
Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)
The answers are :
Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate.
Part A: To rearrange the distance formula for the value of rate, rate will be on Left Hand Side of the equation and other variables will be on Right Hand Side of the equation.
rate = distance/time.
Part B: Rate in meter per hour can be calculated by keeping the values in formula formed in Part A.
Rate = 800,000 ÷ 4
Rate = 200,000 meters per hour.
Part C: To find the rate in kilometres per hour, we will simply convert the calculated rate from meters to kilometres. As per the known fact, 1000 meters = 1 kilometre.
Rate = 200,000 ÷ 1000
Rate = 200 kilometres per hour
Part D: The use of unit kilometre is more appropriate in this problem. This is because the speed is fast and contains many zeroes. Reading and understanding in the form of kilometres is more practical in comparison to meters.
Hence, Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate
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Line c passes through points (5, 1) and (9, 8). Line d is parallel to line c. What is the slope of line d?
The slope of line d is m =7/4.
Given c points (5,1) and (9,8).
and the d line is parallel to line c.
We have to find the slope of d.
The slope formula is to determine a line's slope or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.
Slope m = rise/run =[tex]=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here, [tex](x_{1} ,y_{1} )=(5,1) and (x_{2} ,y_{2} )=(9,8)[/tex]
We get slope by substitute this points in m value.
m=(8-1)/(9-5)
m=7/4
Therefore, the slope m=7/4.
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Please Help! <3 ASAP
i don't understand T.T
Answer:
3.2 miles
Step-by-step explanation:
Yesterday: 2.35 miles
Today: 2.45 miles
Total of today and yesterday: 2.35 miles + 2.45 miles = 4.8 miles
Goal: 8 miles
Number of miles left to do:
8 miles - 4.8 miles = 3.2 miles
Answer: 3.2 miles
The answer to Gprahing systems of equations
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ! (Order of Operations with Radicals MC) Evaluate quantity the square root of 16 times 3 squared minus the cube root of negative 27 end quantity divided by 2 squared.
Help me asap this due in like a hour
Answer:
A: 2
B: 5
C: 4
D: 3
E: 1
Step-by-step explanation:
Looks right to me :)
a school authority claims that the average percentage marks of students is 68. a researcher has taken a well–designed survey and his sample mean is 64.5 and sample standard deviation is 2. the sample size is 300. which statement is correct?
The statement B is correct, i.e., The result of the survey is statistically significant.
What is statistical significance?The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.
Given:
Average percentage of students = 68Sample mean of researcher = 64.5Sample standard deviation = 2Sample size = 300To find: WHich of the given statements is correct?
Finding:
According to the given data,
We can infer that there is a statistically significant result because our findings from a large sample size and relatively small standard deviation show that 64.5 is much lower than the average 68. Additionally, it differs practically.Hence, the statement B is correct, i.e., The result of the survey is statistically significant.
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(COMPLETE QUESTION:
A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?
a.)
The difference exists due to chance since the test statistic is small.
b.)
The result of the survey is statistically significant.
c.)
The sample size should be much more.
d.)
The result of the survey is not statistically significant.)
pls help me
Which expression is equivalent to -5 + 6
A:-5+6
B:5+6
C:5-6
D:6-5
Answer:
-5+6 = 1
6-5 = 1
therefore, the answer is D.
Answer:
D
Step-by-step explanation:
-5+6=+1
and 6-5=+1
since both are equal to 1
D is the answer
Solve the equation. 2(5 – 7) = 1
Answer:
False
Step-by-step explanation:
Distribute, do the math, and evaluate the resulting equality/statement to see if it is true
10 - 14 = 1
-4 = 1
That is not true so the answer is false
asgt 2.2 7 of 77 of 7 items on a number line, a is at 5 and b is at 50. point x is the midpoint. point t is 2/3 of the way from x to b. determine the coordinate of point t. distance of xb =
On a number line where A is at 5 and B is at 50, and X is the midpoint and T is somewhere between A and B, the coordinates of point T is 15 and the distance of XB is 22.5.
A number line is straight line divided by equal measures that serves as a visual representation of the real numbers.
If on a number line, a is at 5 and b is at 50, then AB = 50 - 5 = 45.
If point X is the midpoint of A and B, then X divides the distance of A to B into two equal parts.
let n = AX = XB
AB = AX + XB
45 = n + n
45 = 2n
n = 22.5
AX = XB = 22.5
If point T is 2/3 of the way from X to B, then
T = 2/3XB
T = 2/3(22.5)
T = 15
Hence, the coordinates of T is at 15 and the distance of XB is 22.5.
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Solve for x can you help please
Answer:
x = 13
Step-by-step explanation:
23 - 9 = 14
14 / 2 = 7
So both sides should equal to 7.
Set the two expression equal to each other and solve.
x - 6 = 2x - 19
move the 6 to the other side by adding
x = 2x - 19 + 6
x = 2x - 13
then move 2x to the other side by subtracting
x - 2x = -13
-x = -13
divide both sides by -1 to get x
x = -13/-1
x = 13
Check.
plug 13 in for x
x - 6
13 - 6 = 7
2x - 19
2(13) - 19
26 - 19 = 7
so both expressions are equal to each other now and
7 x 2 = 14
14 + 9 = 23
thus x = 13