Answer:
Mr. Duke received 1.65% percent of the agency's fee.
Step-by-step explanation:
Given:
Mr. Duke worked for a real-estate Agency.
He sold a house for $225,000. The agency’s fee for the sale was 3% of the sale price.
Mr. Duke received $3712.50 of the agency’s fee as his commission.
Now, to find the percent of the agency's fee Mr.Duke receive.
Mr. Duke sold house = $225,000.
Mr.Duke received = $3712.50.
So, to get the percent of agency's fee Mr. Duke receive:
[tex]\frac{3712.50}{225000} \times 100[/tex]
[tex]=0.0165\times 100[/tex]
[tex]=1.65\%.[/tex]
Therefore, Mr. Duke received 1.65% percent of the agency's fee.
On a day in the month of February the temperature in Barrow Alaska is -21°F at the same time the temperature in Northway Alaska is -13°F write an inequality to and compare -21 and -13 which temperature is warmer
Answer:
-13 》-21
Step-by-step explanation:
The reason why is because -21 is further away from 0 than -13. Negative numbers are greater when they are closer to 0, and less when further away.
The inequality that compares these two temperatures is - 13°F > - 21°F so
Northway Alaska is warmer.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, On a day in the month of February the temperature in Barrow Alaska is -21°F at the same time the temperature in Northway Alaska is -13°F.
We know 21 > 13 but - 13 > - 23.
Therefore the inequality that compares the temperature is - 13°F > - 21°F.
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Solve this equation g-8=25
Answer:
Step-by-step explanation:
G-8=25
+8. +8
G= 33
The ratio of taxes to profits is 7:3. Find the amount of taxes if the taxes and profits total $1000.
Answer:
$700
Step-by-step explanation:
Given:
The ratio of taxes to profits is 7:3.
The taxes and profits total $1000.
Question asked:
Amount of taxes = ?
Solution:
Let ratios = [tex]x[/tex]
And amount of taxes = [tex]7x[/tex]
Then amount of profit = [tex]3x[/tex]
Sum of amount of taxes and profits = $1000.(given)
[tex]= 7x + 3x = 1000\\= 10x = 1000\\[/tex]
by dividing both side by 10
[tex]x = 100[/tex]
Thus, amount of taxes = [tex]7x[/tex] = [tex]7\times100[/tex] = [tex]700[/tex]
Thus, amount of profits [tex]= 3x = 3\times100 = 300[/tex]
a baker uses 40% more butter this month than last month if the baker used 210 kilograms of butter last month how much did it use this
Answer:
The amount of butter used by baker this month is 294 kilograms.
Step-by-step explanation:
The amount of butter used last month by the baker = 210 kilograms
Now, according to the question:
The amount of butter used this month
= Previous months's amount + 40% of previous month's usage
Calculating 40% of 210 kg:
[tex]\frac{40}{100} \times 210 = 84[/tex]
⇒40% of 210 kilograms = 84 kilograms
⇒ The amount of butter used this month
= 210 kg + 84 kg = 294 kg
Hence,the amount of butter used by baker this month is 294 kilograms.
The baker used 40% more butter this month than last month. To find this month's usage, calculate 40% of last month's usage (84 kilograms) and add it to last month's usage. The baker used 294 kilograms of butter this month.
Explanation:To answer this question, we can first calculate how much 40% of the butter used last month is. 40% of 210 kilograms is 84 kilograms. This is the amount of butter the baker used additionally this month than the previous month. If we add this to the amount of butter that was used last month (210 kilograms), we get the total amount of butter used this month. 210 kilograms + 84 kilograms = 294 kilograms. So the baker used 294 kilograms of butter this month.
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Jason and his friends went out to lunch .they ordered one cheeseburger and one soda for $5 how much dose one cheeseburger cost?how much dose one soda cost
Answer:
soda:3.75 burger: 1.25
Step-by-step explanation:
What is 1/2 devided by 4/6
Answer:
3/4
Step-by-step explanation:
1/2 divided by 4/6= 1/2 divided by 2/3
We can use reciprocals.
1/2 divided by 2/3= 1/2*3/2=3/4
Which inequality is graphed below?
+
-5 -4
-3 -2 -1, 1
1
2
3
4
12 - 2x + 2
Without a clear graph or a well-defined inequality, it is not possible to determine which inequality is graphed. An inequality and its graph on the coordinate plane represent solutions to the inequality, such as regions to the right of a vertical line for x > 2.
Explanation:The student has asked which inequality is graphed. Unfortunately, the provided information is insufficient to determine the inequality or the graph in question. Moreover, the data given appears to be disorganized or incorrectly transcribed, making it impossible to provide a specific answer. For a proper response, one would need either a clear description of the graph or the correct functional form of the inequality.
To demonstrate inequalities and their graphs, one might typically use coordinate axes where solutions to the inequality are represented by regions of the plane. For example, the inequality x > 2 would be represented graphically by a shaded region to the right of the line x = 2 on a number line, or in two dimensions, to the right of the vertical line x = 2.
If the student can provide a clear and accurate description of the graph or the inequality they are inquiring about, a more precise answer could be given.
Does y = 3/4 x + 6 and y = -3/4 x + 5 have one solution
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{3}{4}[/tex] x + 6 → (1)
y = - [tex]\frac{3}{4}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{3}{4}[/tex] x + 6 into (2)
[tex]\frac{3}{4}[/tex] x + 6 = - [tex]\frac{3}{4}[/tex] x + 5 ( add [tex]\frac{3}{4}[/tex] to both sides )
[tex]\frac{3}{2}[/tex] x + 6 = 5 ( subtract 6 from both sides )
[tex]\frac{3}{2}[/tex] x = - 1 ( divide both sides by [tex]\frac{3}{2}[/tex] )
x = [tex]\frac{-1}{\frac{3}{2} }[/tex] = - [tex]\frac{2}{3}[/tex] ← one solution
Write 51% as a fraction in simplest form
I need help please and thank you
Answer:
58 degrees
Step-by-step explanation:
180-87-35= 58
Solve 7x + 3 = 3 + 7x. Show all work
Answer:
Infinitely many solutions.
Step-by-step explanation:
7x+3=3+7x
7x-7x+3=3
3=3
Simplify 5+2(6y+3)+4x+y
Answer: 4 x + 13 y + 11
Step-by-step explanation:
Distribute:
=5+(2)(6y)+(2)(3)+4x+y
=5+12y+6+4x+y
Combine Like Terms:
=5+12y+6+4x+y
=(4x)+(12y+y)+(5+6)
=4x+13y+11
Answer:
=4x+13y+11
Mindy bought10 grapefruits at the rate of $6.00 per dozen. How much did she pay for the fruit?
Answer 5
Step-by-step explanation:
6/12=.5
.5*10=5
Final answer:
Mindy bought 10 grapefruits at a rate of $6.00 per dozen. By calculating the cost per grapefruit at 50 cents and multiplying by 10, we find that she paid a total of $5.00 for the grapefruits.
Explanation:
Calculating the Cost of Grapefruits
Mindy bought 10 grapefruits at the rate of $6.00 per dozen. To find out how much she paid for the grapefruits, we need to calculate the cost per grapefruit and then multiply by the number she bought.
A dozen grapefruits cost $6.00, so each grapefruit costs $6.00 divided by 12, which is 50 cents per grapefruit. Since Mindy bought 10 grapefruits, the total cost will be 10 grapefruits multiplied by 50 cents each.
Performing the multiplication, we get:
10 grapefruits × 50 cents per grapefruit = 500 cents
Since there are 100 cents in a dollar, 500 cents is the same as $5.00.
Therefore, Mindy paid $5.00 for the grapefruits.
Howard is saving to buy a mountain bike that costs $245, excluding tax. he has already saved $28. what is the least amount of money Howard must save each week so that at the end of the 9th week. he has enough money to buy the bike? round your answer to the nearest dollar.
Answer: 24
Step-by-step explanation:
245-28= 217
217÷9= 24.1
The equation can be set up as 245 = ?(9) + 28
Solving for the ?, we subtract 28 from the entire equation: 217 = ?(9)
Divide by 9: 24.11111 or, rounded, $24 each week.
Jonas earns $9 per hour as a lifeguard and $11 per hour as a swim instructor. Last week he worked a total of 40 hours at the pool, 10 of which were teaching swim lessons. Which expression and value show the total amount of money that he earned last week? 9 × 10 + 11 × 30; $420 9 × 10 + 11 × 30; $210 9 × 30 + 11 × 10; $419 9 × 30 + 11 × 10; $380
Answer:
The correct answer is D. 9 × 30 + 11 × 10; $380
Step-by-step explanation:
Let's write the correct equation to help Jonas to find out his earnings last week, this way:
Number of hours worked by Jonas last week = 40
Number of hours worked by Jonas last week as swim instructor = 10
Number of hours worked by Jonas last week as lifeguard = 30
Rate per hour as lifeguard = $ 9
Rate per hour as swim instructor = $ 11
Now, we can answer the question:
Total earnings last week = 30 * 9 + 10 * 11
Total earnings last week = 270 + 110 = $ 380
The correct answer is D. 9 × 30 + 11 × 10; $380
Answer:
The answer is D, short and simple.
What is the slope of the the line that goes through (4,3) and (8,5)
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
You need 850 points to get to level 4 in a video game how many points do you need in level 3 to reach your goal ?
At eagle bay, it cost $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve a linear equation to find the cost of the canoe for 7 hours
To find the cost of renting a canoe for 7 hours, we can set up a linear equation using the given information. Using the point-slope form, we can find the equation of the line. Substituting x = 7 into the equation gives us the cost for 7 hours. The cost of renting a canoe for 7 hours is $100.25.
Explanation:To find the cost of renting a canoe for 7 hours, we can set up a linear equation using the given information. Let's define the variables:
x = number of hours
y = cost of renting a canoe for x hours
From the given information, we know that it cost $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. This gives us the first point on the line: (4, 68).
To find the equation, we can use the point-slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the slope formula, we can find the slope: m = (y2 - y1) / (x2 - x1) = (68 - 25) / (4 - 0) = 43 / 4 = 10.75.
Now we can plug in the values into the point-slope form: y - 68 = 10.75(x - 4).
To find the cost for 7 hours, we substitute x = 7 into the equation and solve for y: y - 68 = 10.75(7 - 4), y - 68 = 10.75 * 3, y - 68 = 32.25, y = 32.25 + 68, y = 100.25.
Therefore, the cost of renting a canoe for 7 hours is $100.25.
Final answer:
To calculate the cost of renting a canoe for 7 hours, first find the fixed cost by using the known rental time and cost. The equation is y = 12x + 20, where y is the total cost and x is the number of hours. For 7 hours, the cost is $104.
Explanation:
We are given that the cost to rent a canoe at Eagle Bay is $12 per hour. Nate and his friends rented the canoe for 4 hours, and they paid a total of $68. To find the equation, we need to consider that there might be a fixed cost in addition to the hourly charge. First, let's define our variables: let x be the number of hours the canoe is rented, and let y be the total cost.
Based on the information provided, we can create the equation y = 12x + b, where b is the possible fixed cost.
To find the fixed cost, we use the information that renting the canoe for 4 hours cost $68: 68 = 12(4) + b. Solving for b, we find:
68 = 48 + b
b = 68 - 48
b = 20
So, the fixed cost is $20, and the equation becomes y = 12x + 20. To find the cost of renting the canoe for 7 hours, we substitute 7 for x in our equation:
y = 12(7) + 20
y = 84 + 20
y = $104
The cost to rent the canoe for 7 hours would be $104.
Maria and her sister each have a salad and drink for lunch at a restaurant. Salad cost $5.40 and drink cost $1.40. What was the total cost of the meal with a 20% tip?
Final answer:
Maria and her sister's meal total cost is $13.60 before tip. With a 20% tip of $2.72 added, the total meal cost becomes $16.32.
Explanation:
First, we need to calculate the total cost of Maria and her sister's meal before tip. Each salad costs $5.40 and each drink costs $1.40. Given they both had a salad and a drink, we calculate the cost for each person as $5.40 + $1.40 = $6.80. Thus, for both Maria and her sister, the total cost of the meal is $6.80 x 2 = $13.60.
To calculate the total cost including a 20% tip, we first need to work out the amount of the tip. A 20% tip can be calculated by converting the percentage to a decimal (0.20) and multiplying it by the meal cost. So, the tip amount is 0.20 x $13.60 = $2.72.
Finally, to find the total cost of the meal including a 20% tip, we add the tip to the original meal cost: $13.60 + $2.72 = $16.32. Therefore, the total cost of the meal with a 20% tip is $16.32.
If f(x) = 6x ^ 2 - 4a and g(x) = 2x + 2 find (f - g)(x)
Answer:
6x^2-4a-2x-2
Step-by-step explanation:
Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below.
Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction
Variance squared = StartFraction (9) squared minus (32) squared + (12) squared + 0 squared + (11) squared Over 5 EndFraction
Variance squared = StartFraction 81 minus 1,024 + 144 + 0 +121 Over 5 EndFraction
Variance squared = StartFraction negative 678 Over 5 EndFraction = negative 135.6
What is the first error Cara made in computing the variance?
Answer:
She put the negative sign for the 32 outside the parentheses
Step-by-step explanation:
in the formula the negitive is supposed to be inside the parentheses
The first error that Cara made was seen in the second step where she used "minus" (32) squared instead of "plus" (32).
What is Variance?Population variance (σ²) describes the way data points in a given population are distributed. It is the aggregate of the distances from each data set in the population towards the mean squared.
The population variance is a population parameter that is independent of research methodologies or sampling practices.
Mathematically, The correct calculation can be done by using the formula:
[tex]\mathbf{\sigma^2 = \dfrac{ \sum(x_i-\bar x)^2}{N}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{ (87-78)^2 + (46-78)^2+ (90-78)^2+(78-78)^2+(89-78)^2}{5}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{ (9)^2 + (-32)^2+ (12)^2+(0)^2+(11)^2}{5}}[/tex]
We can now see that the minus 32 is supposed to be in the bracket.
[tex]\mathbf{\sigma^2 = \dfrac{81+1024+ 44+0+121}{5}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{1270}{5}}[/tex]
[tex]\mathbf{\sigma^2 = 254}[/tex]
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the length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Which equation could be used to find the dimensions of the window?
Answer:
36 = (w+5)w = w^2 + 5w
Step-by-step explanation:
The equation to find the dimensions of the window is w*(w + 5) = 36, where w represents the width of the window.
Explanation:The subject of this question is Mathematics. This problem is a classic example of a quadratic equation in algebra, where you are given the area of a rectangle and a relationship between its length and width. In this case, the length of the rectangle is 5 feet more than its width (w). So, the length can be represented as w + 5. The area of a rectangle is calculated as length times width, so we can set up the following equation where the area is 36 square feet: w*(w + 5) = 36.
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A.The difference of the medians is 2 times the interquartile range
B.The difference of the medians is 3 times the interquartile range.
C.The difference of the medians is 4 times the interquartile range.
D.The difference of the medians is 6 times the interquartile range.
Answer:
C. The difference of the medians is 4 times the interquartile range.
Step-by-step explanation:
The diagram show two box plots.
Mahoney's box plot:
Median [tex]=33[/tex]
Interquartile range [tex]=34-32=2[/tex]
Martin's box plot:
Median [tex]=41[/tex]
Interquartile range [tex]=42-40=2[/tex]
The interquartile ranges are the same.
The difference of the medians [tex]=41-33=8[/tex]
Hence, the difference of the medians is 4 times the interquartile range.
There is no standard relationship stating that the difference of medians is a certain multiple of the interquartile range. The median and interquartile range measure different aspects of a dataset (central tendency and dispersion, respectively), so comparing them in this way is not universally applicable.
Explanation:The question is asking about a theoretical relationship between the median and the interquartile range (IQR) in a set of data. However, in statistics, there's no standard relationship that states the difference of medians is a certain multiple of the interquartile range. The median is a measure of central tendency, or a 'middle' value of a dataset, while the interquartile range is a measure of dispersion, indicating the variability within the data. The difference between two medians or the comparison of a median to the interquartile range would be specific to a certain dataset, and it's not a universal relationship.
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If f(7)=22, then f^-1(f(7))=?
Please help!!
Answer:
7
Step-by-step explanation:
In general, the point of an inverse function is to show you the value that gives a particular function value. That is, ...
[tex]f^{-1}(22)=7\\\\f^{-1}(f(x))=x\\\\f^{-1}(f(7))=7[/tex]
The inverse function [tex]f^{-1}[/tex]essentially 'undoes' the operation of the function f. Given that f(7) is 22, applying the inverse function [tex]f^{-1}(f(7))[/tex] will return us to the original input, which is 7.
Explanation:The question is discussing the concept of inverse functions in mathematics. A function has an inverse if it can be 'undone' or 'reversed'. In the notation [tex]f^{-1}[/tex], it signifies the inverse function of f. The value of [tex]f^{-1}(f(7))[/tex] indicates that we have first applied the function f to the input 7 and then applied the inverse function [tex]f^{-1}[/tex] The result would be the original input before function f was applied.
Given that f(7) is equal to 22, applying the inverse function f^-1 to this result will return us to the original input. Hence, [tex]f^{-1}(f(7))[/tex]equals 7.
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What is the answer too -4(3a-5b-7)
Hope it will help u.........
5. PLEASE HELP
What is the potential energy of the ball as it is half way through the fall, 20 meters high? Answer:
Answer:
The potential energy of the ball having 2kg mass would be [tex]392[/tex] J
Step-by-step explanation:
I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.
Considering the formula for calculating the gravitational potential energy
[tex]G.P.E\:=\:m.g.h[/tex]
As
[tex]m = 2[/tex] kg
Acceleration of gravity = g = 9.8 [tex]ms^{-2}[/tex]
As the ball is on the height = h = 20 meters
So,
[tex]G.P.E\:=\:(2)(9.8)(20)[/tex]
[tex]G.P.E\:=392[/tex] J
Therefore, the potential energy of the ball = [tex]392[/tex] J
Keywords: potential energy, Gravitation potential energy
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Answer:
i agree
Step-by-step explanation:
plz i need help it is due for the next 3 minute. I w.will mark brainliest to first and fast answer :
if the sum of two numbers is 10 and product is 24 find the numbers
Answer:
4 and 6
Step-by-step explanation:
4 + 6 = 10
4 x 6 = 24
Answer:
i have solved the question in the picture above. I used factorization to solve the quadratic equation I can also solve using quadratic formula or completing the square method if you want just comment below and I will solve it thank you
Please do 13 ive been trying for 3 hour pls solve x
Answer:
x = 3
Step-by-step explanation:
We should know that:
A straight segment joining the middle of two sides in a triangle is parallel to the third side and equal to half of it.
So,
3x + 1 = (1/2) * 20 = 10
3x = 10 - 1 = 9
x = 9/3 = 3
So, the value of x = 3
An ice-cream factory makes 100 quarts of ice cream in 5 hours. How many quarts could be made in 36 hours? What was that rate per day?
Answer: the answer would be 720
Step-by-step explanation:
Answer:
Step-by-step explanation:
direct proportion
100:5 = x : 36
Product of mean = 5*x
Product of extremes = 100*36
Product of mean = Product of extremes
5*x=100*36
x = 100*36/5
= 20*36 = 720
720 quarts could be made in 36 hours.
Mafalda has a save percentage of 0.7380 so far this hockey season. Last season, her save percentage was 0.5850.
How much has Mafalda's save percentage improved?
Mafalda's save percentage improved by 0.153.
Solution:
Given that, Mafalda has a save percentage of 0.7380 so far this hockey season
Last season, her save percentage was 0.5850
To find: Percentage improved
To find improvement in Mafalda's save percentage we will subtract last season's save percentage from this season's save percentage.
From given,
Last season save percentage = 0.5850
This season save percentage = 0.7380
Percentage improved = This season save percentage - Last season save percentage
[tex]Percentage\ Improved = 0.7380-0.5850\\\\Percentage\ Improved =0.153[/tex]
Thus Mafalda's save percentage improved by 0.153.