The grocer's gain percentage is 5% after he sells 40 liter of oil for the cost price of 42 liter.
What is profit?In business and finance, profit is the amount of money earned by a company or an individual after deducting all the expenses and costs associated with producing and selling goods or services. It is essentially the difference between the revenue earned from selling goods or services and the costs incurred in producing and selling those goods or services.
Let's assume that the cost price of 1 liter of oil is $1 for simplicity.
According to the problem, the grocer is selling 40 liters of oil for the cost price of 42 liters. So, his total cost price for 40 liters of oil is 40 * $1 = $40.
However, he is selling 42 liters worth of oil, which means his selling price is 42 * $1 = $42.
Therefore, his profit in this case is $2 (selling price - cost price).
To find his gain percentage, we can use the following formula:
Gain percentage = (Profit / Cost price) x 100
Substituting the values, we get:
Gain percentage = ($2 / $40) x 100 = 5%
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Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk which is m miles long. At the end of the week she tells her mom, "I walked Pepper for 49 miles this week!" How long is the morning walk?
Answer:2 km
Step-by-step explanation:
Based on the facts provided, her evening walk is two and a half times. Her evening walk will thus cover (2.5 * m) kilometres.
Sierra takes her dog for two daily walks 7 days a week.
By adding the distances of the morning and evening walks for each day, one may determine the total distance travelled in a week:
The total distance equals the sum of your morning and evening walks times the number of days.
With the provided numbers replaced, we get: 49 = (m + 2.5m) * 7 here we assumed m as 1m
Simply put, 49 = 3.5m * 7
49 = 24.5m.
Divide both sides of the equation by 24.5 to find the value of m: m = 49 / 24.5 m = 2
Therefore, the morning walk is 2 kilometres long.
numbers 12321, 50005, and 61016 are called palindromes (a palindrome number is a number that is the same when written forwards or backwards). how many 5- digit even palindromes are there?
The total number of 5- digit even palindromes present is 400 numbers.
Define the term palindrome number?The same number can be read both forward and backward and be considered palindromic.Saippuakivikauppias (19 letters), that is Finnish for a lye trader, is the longest reported palindromic word (caustic soda).For the stated question-
The plindrome must start and end in 2, 4, 6, and 8 different ways (e.g., 22122, 44144) if it is to be even.The five-digit middle number could be 0 to 9 (10 ways), for example, 22522 or 22822The second and fourth numbers must also be the same, i.e., 0-9(10 ways).For example, 23432, 85658,
The number of 5- digit even palindromes are formed as;
4 * 10 * 10 = 400.
Thus, the total number of 5- digit even palindromes present is 400 numbers.
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solve the following equations
15+ 10z=105
Step-by-step explanation:
15+10z=105
10z=105-15
10z=90
z=9
Which expression is equivalent to (9x + 5y)²?
a) 9x² + 45xy + 5y²
b) 18x² + 45xy + 10y²
c) 45x² + 45xy + 45y²
d) 81x² + 90xy + 25y²
e) 0
Given the equation −2x − 13 = 8x + 7, which order of operations completely solves for x? (1 point) Add 2x, then subtract 8x, lastly subtract 7 Add 2x, then add 13, lastly divide by 10 Subtract 8x, then add 13, lastly divide by −10 Subtract 8x, then add 2, lastly add 13
Step-by-step explanation:
We have given an equation −2x − 13 = 8x + 7
We need to find the operations that is used to find the value of x. It can be done by the following ways.
Subtract 8x on both the sides of the equation
−2x − 13 -8x= 8x + 7 -8x
-10x-13 = 7
Add 13 on both the sides of the equation,
-10x-13+13 = 7+13
-10x=21
Divide by -10 on both sides
\(x=\dfrac{-20}{10}\\\\x=-2\)
Hence, the correct option is "Subtract 8x, then add 13, lastly divide by −10"
3n-5=8(6+5n) addition property of equality
Answer:
exact form: n=-53/37
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
The properties used:
a) Distributive Property.
b) Combining Like Terms.
c) Division Property of Equality.
Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.
Let's solve the equation step by step:
3n - 5 = -8(6 + 5n)
First, we will distribute the -8 to the terms inside the parentheses:
3n - 5 = -48 - 40n
Next, we can simplify the equation by combining like terms:
3n + 40n = -48 + 5
43n = -43
Now, to isolate n, we will divide both sides of the equation by 43:
(43n)/43 = (-43)/43
n = -1
The solution to the equation is n = -1.
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Gabby makes banana bread at her bakery every Monday and Wednesday,
Her banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Complete that table to show the ratio of ingredients Gabby used to make her
banana bread.
Answer:
Monday:
Cups of Sugar: 3
Tablespoon of Butter: 30
No. of Bananas: 75
Wednesday
Cups of Sugar: 1.12
Tablespoons of Butter: 11.2
No. of Bananas: 28
prove the following: Theorem 47 A triangle has at most one right angle. In particular, there are no trisquares.
It is impossible for a triangle to have more than one right angle. If a triangle had two right angles, then the sum of these angles would be 180 degrees.
It is possible a triangle will most one right angle?Let ABC be a triangle with two right angles, say at A and B. Then, we have:
∠A = 90° and ∠B = 90°Adding these two angles, we get:
∠A + ∠B = 90° + 90° = 180°But the sum of the angles of a triangle is 180°. Therefore, the third angle, ∠C, must be 0°, which is impossible. Hence, a triangle cannot have two right angles.
However, the sum of the angles of a triangle is always 180 degrees, so the third angle would have to be 0 degrees. This is impossible, as all angles of a triangle must be greater than 0 degrees. Therefore, a triangle can have at most one right angle.
In particular, there can be no triangle with three 90-degree angles (tri square), since such a triangle would have more than one right angle.
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David sees an ad for a new kind of running shoe that promises to improve speed when running short distances. He decides to test this out. He compares his speed when running a mile with the new shoes to his speed when running a mile in the old shoes. His goal is to test whether the new shoes help him run faster. Is this a directional or non-directional hypothesis
David's hypothesis is directional because he expects the new running shoes to improve his speed. He believes that wearing the new shoes will result in faster running times compared to the old shoes.
A directional hypothesis, also known as a one-tailed hypothesis, specifies the direction of the expected effect or difference. In David's case, his hypothesis would be something like: "Wearing the new running shoes will significantly improve my running speed when compared to running in the old shoes."
By stating that the new shoes will improve his speed, David is indicating a specific direction for the expected effect. He believes that the new shoes will have a positive impact on his running performance, leading to faster times when running a mile. Therefore, the hypothesis is directional.
On the other hand, a non-directional hypothesis, also known as a two-tailed hypothesis, does not specify the direction of the expected effect. It simply predicts that there will be a difference or an effect between the two conditions being compared. For example, a non-directional hypothesis for David's situation could be: "There will be a difference in running speed between wearing the new running shoes and the old shoes."
In summary, since David's hypothesis specifically states that the new shoes will improve his speed, it indicates a directional hypothesis.
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Help me out I need it be great
Answer:
A.
How many tiles will you put in each row? 9
How many rows will you make? 3
B.
9x3=27
C.
9 models the amount of tiles in each row
3 models the amount of rows
27 models the total number of chairs/tiles
Step-by-step explanation:
find the equations that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the xy-plane.
The equation that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the x y-plane is (x - 9)² + (y - 2)² = 9.
We know that the given coordinates correspond to a sphere.
The x, y coordinates for our search for a circle parallel to the x-y plane are (x, y) = (9, 2)
The circle's standard equation is (x - h)²+ (y - k)² = r², where h and k are the circle's x and y coordinates, respectively, and r is its radius.
So, we have:
h = 9 ;
k = 2 ;
r = 3;
the solution is (x - 9)² + (y - 2)² = 9.
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-5m - 4 = 36
Solve each equation.
Please explain the steps so i can also understand. thank you!
Answer:
I'm just trying to make this as simple as possible for you.
The value of m is 5.
How?
We must follow a few simple methods to solve this problem.
Well, four to be precise.
All we need to do is add 4 to both sides of the equation, or \(-5m - 4 + 4=36+4\)
Then, we simply by adding the numbers together to get -5m = 36 + 4, or, 40.
Following that, we divide both sides of the equation by the same term, giving us the equation −
5 = 4
0 -5m=40
−5m=40 − 5 − 5 = 4 0 − 5 The -5's go under the numbers like a fraction.
Then, we cancel the terms that are in both the numerator and denominator.
−
5
−
5
=
4
0
−
5
=
4
0
−
5
Fractions same as last part.
Finally, we divide.
=
4
0
−
5
m={\color{#c92786}{\frac{40}{-5}}}
m=40 - 5
= − 8
Please mark me brainliest if this had helped!
Sincerely, didntask
a rental car agency charges $180 per week plus $0.25 per mile to rent a car. how many miles can you travel in one week for $370
Alex has twice the number of hats that Joey has, plus 2 more. The number
of hats Alex has is also 4 times the difference of the number of hats and 5
that Joey has. Find how hats many each of them has.
From the given Alex and Joey hats equation we got Alex has 24 hats Joey has 11 hats.
Given that,
Joey only has 2 times more hats than Alex, who has 2 more. The difference between the amount of hats Alex has and the 5 that Joey has is also 4 times the number of hats Alex has.
We have to discover how many hats each one of them has.
Let Alex has x hats Joey has y hats.
From the given
We get
x=2y+2 ------> equation (1)
x=4(y-5) --------> equation (2)
Equating equation (1) and equation (2)
2y+2=4(y-5)
2y+2=4y-20
2y-4y=-20-2
-2y=-22
y=-22/-2
y=11
Take y=11 in equation (1)
x=2(11)+2
x=22+2
x=24
Therefore, Alex has 24 hats Joey has 11 hats.
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A newsletter publisher believes that under 69% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim
There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.
The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.
We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.
Using a z-test, we can calculate the z-score by using the formula:
z = (p' - p) / sqrt(p * (1 - p) / n)
where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.
At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.
If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:
z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83
Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.
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Tamara looked at the expression 35 + z < 59. She believes that z can equal more than one value.
Answer:
z<24
Step-by-step explanation:
It can't be more than one value. All you do is subtract 35 from both sides to isolate z.
Hope this helped!
Answer:
Tamara is correct here. With the expression: 35 + z < 59, Some examples could be; 10,20,15,21,22,23,24, or really anything under the number 24 will be acceptable for this expression to be true.
Step-by-step explanation:
Hope that this helps! :)
please help no links or files
Answer:
i think c ..............
79 8 the time needed to complete a final examination in a particular college course is normally distributed with a mean of minutes and a standard deviation of minutes. answer the following questions. a. what is the probability of completing the exam in one hour or less (to 4 decimals)?
The probability of completing the final examination in one hour or less, given a normal distribution with a mean of 79 minutes and a standard deviation of 8 minutes, is approximately 0.8413.
To find the probability of completing the exam in one hour or less, we need to convert one hour (60 minutes) into z-scores. The formula for calculating the z-score is (x - μ) / σ, where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
In this case, we want to find the z-score for 60 minutes. Substituting the values into the formula, we have (60 - 79) / 8 = -2.375.
Next, we need to find the probability associated with this z-score. We can look up the corresponding probability from a standard normal distribution table or use a calculator. The probability corresponding to a z-score of -2.375 is approximately 0.0087.
However, we are interested in the probability of completing the exam in one hour or less, which includes all values less than or equal to 60 minutes. Since we are dealing with a continuous distribution, we need to consider the area under the curve up to the z-score of -2.375. This area represents the probability of completing the exam in one hour or less.
Looking up the z-score of -2.375 in the standard normal distribution table, we find that the corresponding probability is approximately 0.0087. Therefore, the probability of completing the exam in one hour or less is approximately 0.0087 or 0.8413 (rounded to four decimal places).
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Mrs. Hermann plans to exercise in order to
lose 4 pounds per month. How many pounds will
she lose over a period of 6 months?
Answer:
She will lose 24 pounds.
Step-by-step explanation: She loses 4 pounds each month. She does this for 6 months. So, you would do 4 x 6 = 24. Hope this helps ^-^.
can you help? thank youu
Answer:
13 in.
Step-by-step explanation:
perimeter of triangle = 3 1/3+5 1/2 + 4 1/6
=10/3+11/2+25/6
=20/6+33/6+25/6
=(20+33+25)/6
=78/6
=13 inch.
The expected variability or standard deviation of the means from many different random samples is known as what quantity?
This declaration is True.
The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.
What is the standard deviation of the sample means also called?The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.
What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?
Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.
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The given question is incomplete, complete question is:
The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter
given sec θ = 2/√3 where tan θ is negative, find cot
Answer:
3/2
Step-by-step explanation:
plz help brainiest to whoever right
Answer:
I’m sorry I can’t really see it but I think it’s 7 20
Step-by-step explanation:
HELP ASAP | A bird (B) is spotted flying 5,000 feet from a tree (T). An observer (0) spots the bird (B) at a distance of 13,000 feet. What is the angle of
depression from the bird (B) to the observer (0)? (4 points)
T
5,000
00
13,000
o
a
22.70°
44.62
C
67.38°
d
68.96º
Answer:
\(x=67.38^\circ\)
Step-by-step explanation:
Use trigonometry
Recall that cos(x)=adjacent side/hypotenuse
You can remember this with SohCahToa
Also remember that if cos(x)=y then \(cos^{-1}(y)=x\)
In this case, we know the adjacent side and hypotonous
Adjacent side=5000
Hypotenuse=13000
Therefore
\(Cos(x)=\frac{5000}{13000}=\frac{5}{13}\)
Now to solve for x, take the inverse cosine
\(cos^{-1}(\frac{5}{13})=x=67.38^\circ\)
Answer:
x=67.38
Step-by-step explanation:
I took the quiz and got it correct!
Which point will lie closest to B?
P
Q
R
S
Answer:
there is no picture nor description, so I'd say it's point Q mainly bc the alphabetical numerals
Answer:
q
Step-by-step explanation:
an opinion poll on a political issue is taken by a campaign. out of 400 respondents, 210 support issue 1, others are against issue 1. there is a belief that the support of the issue 1 is different from the majority. find the p-value for this situation.
p-value < 0.0001, reject null hypothesis. Proportion of supporters for issue 1 is significantly different from the majority.
To find the p-an incentive for this present circumstance, we really want to direct a speculation test. We should expect the invalid speculation is that the extent of allies for issue 1 is equivalent to the larger part, and the elective theory is that the extent of allies is not the same as the larger part.
Utilizing a two-followed z-test with an importance level of 0.05, we can work out the z-measurement as:
z = (210/400 - 0.5)/sqrt(0.5 * 0.5/400) = 4.14
The p-an incentive for this test is the likelihood of getting a z-score more noteworthy than 4.14 or not exactly - 4.14, which is tiny (under 0.0001). In this way, we can dismiss the invalid speculation and presume that there is sufficient proof to propose that the extent of allies for issue 1 is altogether not quite the same as the larger part.
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What is the solutions of the system of equations?
SOS PLS HELP
Answer:
B) (-8, -6, 1)
There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')
Hope this helps :)
P = (12, 4) and M = (-8, 8)
a. Harry started a new job where he earns the same amount every hour. Last week, he worked 9 hours and earned $108. Write the linear equation for this situation, where y represents the money earned, in dollars, and I represents the number of hours worked.
Answer:
I=12
Step-by-step explanation:
y=108
I=108/9
I=12
Answer:
y = 12lStep-by-step explanation:
This is the proportional relationship
Let the equation be:
y = rl, where y- money earned, l- number of hours, r- hourly rateWe have:
108 = 9rr = 108/9r = 12The required equation is:
y = 12lAmy had $36 when she got
to the carnival. After riding 8
rides, she had $4 left. How
much was each ride?
Answer:
[See Below]
Step-by-step explanation:
____________________________
✦ Subtract to get how much money she spent:
\(36-4=32\)____________________________
✦ Divide:
\(32\) ÷ \(8=4\)____________________________
So each ride was $\(\bold4\).
~Hope this helps Mate. If you need anything feel free to message me.