The amount for Kai's self employment taxes for the last month is $407.745 .
In the question ,
it is given that
number of music lessons that Kai taught = 41
per music lesson charge = $65 .
the tax rate for self employment = 15.3%
So, the total amount earned is = (number of classes)*(per class charge)
= 41*65 = $2665
According to the question .
Kai's self employment tax = 15.3% of total amount earned
On substituting the values , we get
Kai's self employment tax = 15.3% of 2665
= 0.153*2665
= 407.745
Therefore , The amount for Kai's self employment taxes for the last month is $407.745 .
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help ASAP we have to show out work
Answer:
1st[tex]7532 + 100y ^{2} + 100y^{2} - 1100[/tex]
2nd
[tex]200y ^{2} + 6432[/tex]
final answer
[tex]a = 200[/tex]
[tex]b = 6432[/tex]
a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds. how long would it take to fill a carton that measures 4 ft by 4 ft by 6 ft?
a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds Then it would take 32 seconds to fill a carton that measures 4 ft by 4 ft by 6 ft
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 3 ft * 1 ft=9 ft³
Therefore:
A machine can fill 9 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 4 ft * 6 ft=96 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
9 ft³---------------------3 seconds
96 ft³-------------------- x
x=(96 ft³ * 3 seconds) / 9 ft³=32 seconds.
Hence , a machine can pack a 3 ft by 3 ft by 1 ft carton with packing material in 3 seconds Then it would take 32 seconds to fill a carton that measures 4 ft by 4 ft by 6 ft
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suppose f(x)=4x-2 and g(x)=-2x+1
find the value of f(3)/g(-4)
Answer:
10/9
Step-by-step explanation:
We can calculate f(3) and g(-4)
f(3) = 4*3 - 2 = 12 - 2 =10
and g(-4) = -2 * (-4) + 1 = 8 + 1 = 9
Then it is easy to calculate f(3)/g(-4):
f(3)/g(-4) = 10/9
where we use the values which we calculated before.
⇒In the equation f(x) given f(3) plug in the value 3 in the place of x and simplify
[tex]f(3)=4(3)-2\\f(3)=12-2\\F(3)=10[/tex]
⇒For g(-4) in the place of x plug in -4 in the equation of g
[tex]g(-4)=-2(-4)+1\\g(-4)=8+1\\g(-4)=9[/tex]
Now we can find the value of of the problem as done BELOW:
[tex]\frac{f(3)}{g(-4)} \\\frac{f(3)}{g(-4)} =\frac{10}{9}[/tex]
All i need to know is question 5. How they are different.
The $2 and $3 profits from the sale of sandwiches and wraps respectively, and the equation that is used to calculate the profit gives;
1. The equation is; [tex] \displaystyle{y = 490 - \frac{2}{3} \cdot x}[/tex]
The slope, m = [tex] \displaystyle{ - \frac{2}{3}}[/tex]
The y–intercept, c = 490
2. The graph can be drawn by joining the y–intercept to a point found by moving along the slope from the y–intercept
3. [tex] \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}[/tex]
4. Please find attached the graph of the number of wraps to the number of sandwiches
5. Please find attached the combined graph of the two functions
The similarity is the common slope
The difference is the y–intercept
What is the slope of a straight line graph?The slope is the ratio of the rise to the run of the graph.
The given function is; 2•x + 3•y = 1470
Where;
x = The number of sandwich sold
y = The number of wraps sold
The profit per sandwich sale = $2
Profit per each wrap sale = $3
1. The slope and intercept form is; y = m•x + c
Where;
m = The slope
c = The y–intercept
Therefore, 2•x + 3•y = 1470 gives;
3•y = 1470 - 2•x
y = (1470 - 2•x)÷3 = 490 - (2/3)•x
[tex] \displaystyle{y = \frac{1470-2\cdot x}{3} = 490 - \frac{2}{3} \cdot x}[/tex]
Therefore;
[tex] \displaystyle{y = 490 - \frac{2}{3} \cdot x}[/tex]By comparison, we have;
The slope, m = -2/3The y-intercept, c = 4902. Using the slope and intercept method to graph the line involves the following steps.
Mark the point (0, 490) on the graph to represent the y–interceptFrom the point (0, 490), move 2 units downwards and 3 units to the right to represent the slope of (-2/3) then mark a point at the location arrived at, which is (3, 488)Join the two points and extend the line to complete the graph3. The equation in function notation is; [tex] \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}[/tex]
The meaning of the function is that the number of wraps sold is given by the difference between 490 and two thirds of the number of sandwiches sold, or that as the number of sandwiches sold increases by by 1, the number of wraps sold decreases by 2/3
4. The graph can be created using a spreadsheet application
Please find attached the graphs of the function
5. With a profit next month of $1,593, we have;
2•x + 3•y = 1593
Which gives;
[tex] \displaystyle{y = 531 - \frac{2}{3} \cdot x}[/tex]
Given that the equation of the graph of the previous month is y = 490 - (2/3)•x, we have;
The similarity is the slope of the two graphs are the same -(2/3)The difference is in the different y–intercepts, 490 and 531Learn more about the graph of a linear equation here:
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Challenge You buy 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples. What is your total bill?
Grocery Store Prices
Item
Cost
Grapes
$1.29 per
pound
Peaches
$1.19 per
pound
Apples
$1.09 per
pound
The total bill of 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples is $ 8.4.
Given that,
I bought 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples.
Grocery Store Prices:
Grapes $1.29 per pound
Peaches $1.19 per pound
Apples $1.09 per pound
Therefore the total bill is = $ [(3.18 pounds x 1.29 per pound) + (1.35 pounds x 1.19 per pound ) + ( 2.48 pounds x 1.09 per pound)]
= $ ( 4.10 + 1.60 + 2.70)
=$ 8.4
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pls help!! thank you sm if you do!!!
Answer:
3. parallel
4. they have the same slope
Graph this line using the slope
and y-intercept:
y= 1/6x + 4
Answer: See attached.
Step-by-step explanation:
To graph this, we will look at the pieces they gave us. Slope-intercept form equations are written in y = mx + b.
➜ The slope, m, is the pitch of the line. It's "rise over run" and helps us know where the plot points. For this problem, we will rise one value and move 6 values right to the next point.
➜ The y-intercept, b, is where the line intercepts the y-axis. It helps us know where the first point goes (0, y). For this problem, we will graph (0, 4).
Using these details, we will graph the line. View attached.
Find the missing angle.
Answer:
110 degrees?
Step-by-step explanation:
35+35= 70 right?
So then would have to subtract the 70 from 180 because that is total length of an angle to get 110 degrees
110 degrees
I might be wrong, because it might be different with triangles
Answer:
U = 110
Step-by-step explanation:
The formula for finding missing angle is.
a + b + c = 180 or in this case S + U + T = 180.
You already have the measurement of two angles so plug those in.
35 + U + 35 = 180
Now all you have to do is simplify and solve it.
35 + 35 + U = 180
70 + U = 180 you simplify by adding together 35.
U = 110 to cancel out 70 and isolate U you subtract 70 to both sides.
help please i need to know the numbers
The two linear functions has different slopes, the blue line has a slope of 2 and the magenta line has a slope of 1, and the same intercept, both have an intercept of 0.
What is one similarity and one difference between two lines?
In this problem we find the picture of two linear equations set on Cartesian plane. Linear functions are polynomials of the form:
y = m · x + b
Where:
m - Slopeb - InterceptTo find all similarities and differences between the two lines we must compare each expression with the equation of the line. Based on this strategy we find the following conclusions:
The two lines has two different slopes, the blue line is steeper (m = 2) than the magenta line (m = 1). The two lines has the same intercept, the intercept is at the origin.To learn more on linear equations: https://brainly.com/question/13738061
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Romeo walked 12 12 kilometers. If he averaged 312
kilometers per hour, how long did it take him to walk this distance?
Answer:
100
Step-by-step explanation:
He is walking and he go 12 kilometer total 312 so 312 divided by 12
What is 2,829÷74. ( with remainder )
Answer:
76:9
Step-by-step explanation:
because because because
The wheel chair ramp at a local arena has a ramp length of 20 feet and a rise of 17 inches. What angle does the ramp make with the sidewalk? Round to the nearest tenth of degree.
Answer:
58.2 degrees
Explanation:
The given problem is illustrated using the diagram below:
The angle the ramp makes with the sidewalk is labeled x above.
Using trigonometry:
[tex]\begin{gathered} \sin x=\frac{17}{20} \\ x=\arcsin (\frac{17}{20}) \\ x=58.2\degree \end{gathered}[/tex]The angle the ramp makes with the sidewalk is 58.2 degrees.
five fair dice were tossed, and the sum of the resulting tosses was recorded. this process was repeated 10,000 times using a computer simulation. the number of times the sum of the five tosses equaled 26 was 53. what is the estimated probability that the sum of the five dice will be 26? (give the answer to four decimal places.)
The estimated probability that the sum of five dice will be 26 is 0.0053
What is meant by Estimated Probability?Estimated Probability: Estimated probability is an approximation, or estimate, of theoretical probability. The larger the number of trials, the more accurate we expect this approximation to be. If E consists of a single outcome s, we refer to P(E) as the probability of the outcome s, and write P(s) for P(E)
N = Number of Repeated Process = 10,000
n = Number of times the sum of the five tosses equaled 26 = 53
The estimated probability that the sum of the five dice will be 26 = n/N
Where n = 53
And N = 10,000
Using the above formula, we have the following:-
n/N becomes
n/N = 53/10,000
n/N = 0.0053
Hence, the estimated probability that the sum of five dice will be 26 is 0.0053
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Answer the following given the arithmetic sequence -55, -47, -39, -31.
Write the general term (aka the rule) for the nth term of this sequence. (Simplify [Distribute and Combine] the arithmetic sequence formula).
f(n) =
15th term =
Answer:
f(n)=8n-63
15th term=57
Step-by-step explanation:
goes up by 8 each time therefore the coefficient of n is 8
take for example the 1st term,8n would be 8, to get to -55 from 8 you would have to subtract 63, therefore the nth term is 8n-63.
Safara wants to rent a bicycle the graph shows the cost for renting a bicycle for different lengths of time. What is the slope of the line?
The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
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3. Which of the following is parallel to the line y = 3/4x +7?
The answer would be C. y = 3/4 x - 9
this line has the same slope => ¾
one mile is equal to 5280 feet
Length of the golf club where Bruce plays = 7,040 yards
Solution:
1. Let's convert 7,040 yards to miles:
1 yard = 0.000568182 mile
Now, we can use Direct Rule of Three, as follows:
Yards Miles
1 0.000568182
7,040 x
2. Solve for x:
1 * x = 0.000568182 * 7,040
x = 4 miles
Barbara has 25 shirts in her closet 0.6 of her shirts have short sleeves. How many shirts with long sleeves does Barbara have in her closet?
Barbara has 10 shirts with long sleeves
100% of Barbara's shirts is 25
Given: 60% of Barbara's shirts are short sleeves.
That means, 1.0 - 0.6 = 0.4 --> 40% of Barbara's shirts are long sleeves.
We need to find: 40% of 25
0.4 * 25 = 10
10 long sleeved shirts
y=3x+1
4y=12x+4 solve for X and Y in coordinate form ( , )
Answer:
1) −1/3,1
Step-by-step explanation:
Solve the conversion using a proportion. Please help meee!
1 L = 0.26 gal
How many liters are in 13.39 gallons?
A. x = 5.1 liters
B. x = 2.9 liters
C. x = 51.5 liters
D. x = 5.15 liters
The number of liters that are in 13.39 gallons is 51.5 liters
How many liters are in 13.39 gallons?In order to determine the liters that are in 13.39 gallons, divide the amount of gallons by the unit of conversion.
Division is the mathematical process of grouping a number into equal parts using another number. The sign used to represent division is ÷. Division is one of the basic mathematical operations. Other mathematical operations are addition, subtraction and division.
Number of liters in 13.39 gallons = 13.39 / 0.26 = 51.5 liters
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22 is what percent of 110?
Answer:
22 is 20% of 110
Step-by-step explanation:
22 of 110 can be written as:22/110To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100 22/110 * 100/100=[22*100] /110 *1/100=20/100Therefore, the answer is 20%Before the pandemic liana can sanitize their guest room in 45minutes, and gab her brother can do the work in 30 minutes how long will take them finish the same work
They will together take 18 minutes to finish the sanitization work together.
It is mentioned that Liana can sanitize the guest room in 45 minutes only and Gab, her brother, can do the same in 30 minutes.
Let they take y minutes to finish the work together.
Let the total work be m
Workdone by Liana in 45 mintues = m
∴Workdone in 1 minute = m / 45
Workdone by Gab in 30 minutes = m
∴Workdone by Gab in 1 minute = m / 30
Let the total time taken by them = x minutes.
Total time taken by them together = m / 45 + m / 30
∴ [tex]\frac{m}{45} +\frac{m}{30} = \frac{m}{x}[/tex]
⇒ [tex]\frac{1}{45} +\frac{1}{30} = \frac{1}{x}[/tex]
LCM of 45 and 30 is 90
⇒ [tex]\frac{2}{90} +\frac{3}{90} = \frac{1}{x}[/tex]
⇒ [tex]\frac{5}{90}= \frac{1}{x}[/tex]
⇒ [tex]\frac{1}{18}= \frac{1}{x}[/tex]
⇒ x = 18 minutes
Hence they both can do the same given work in 18 mintues.
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2 × 10 + 8 × 1 + 1 × 0.1 unit form
Answer: 20 x 1 x 0.1 + 8 + 1
2 + 8 = 10
Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply.
x + x + 6 – 7 + x
2x + 2 + x
3 – x + 2x – 4 + 2x
x – 1
x + 1 ?
Please help, the only answer I've seen is A, but it's multiple choice.
Polynomial equation 3 -x + 2x -4 + 2x is equivalent to 6 +(-x) + 2x + (-7) + 2x
How to solve Linear Quadratic equations?The example of a first-degree polynomial is f(x) = MX + b of a linear function.
Consider a equation 1, to 6 +(-x) + 2x + (-7) + 2x, and simplify it.
6 +(-x) + 2x + (-7) + 2x
= 6 -x + 2x -7 + 2x
Take likely terms and add or subtract according to the equation.
6-7-x+2x+2x
-1+3x
Consider 3 – x + 2x – 4 + 2x as equation 2.
3 – x + 2x – 4 + 2x
Take likely terms and add or subtract according to the equation.
= -1+ 3x
Here equation 1 is equal to equation 2.
∴6 +(-x) + 2x + (-7) + 2x = 3 – x + 2x – 4 + 2x
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find the edge length of a cube whose volume is 1.728cubic cm is the edge length a rational number
The edge lengths of a cube that has a 1.728 cm³ volume is 1.2 cm
What is the volume of a cube?The volume of a cube is the given by the length of one edge raised to the power of 3
The volume of a cube, V = Length, L × Width, W × Height, H
Given that the lengths of the edges of a cube are equal, we have!
Length, L = Width, W = Height, H
Which gives;
The volume of a cube, V = L × L × L = L³
Therefore, for the given cube, we have;
L³ = 1.728 cm³
1.728 = 1728/1000
(a + b)³ = a³ + 3•a²•b + 3•a•b² + b³
Taking a = 10, and b = 3, we have;
(10 + 2)³ = 10³ + 3×10²×2 + 3×10×2² + 2³ = 1728
Therefore;
1728/1000 = (10 + 2)³/10³ = 12³/10³
Which gives;
L³ = 12³/10³
[tex] \displaystyle {L = \sqrt[3]{ \frac{{12}^{3} }{ {10}^{3} } } = 1.2}[/tex]
The edge lengths of the cube, L = 1.2 cm
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3. What is the result when any 2 integers are multiplied?
A. a positive integer
B. a negative integer
C. an integer
D. an even number
1. find each sum or difference 5/8 - (-2/8)
2. find each sum or difference -3 1/5 + (-6 1/2)
3. find each sum or difference 5/8 - (-2/8)
1. The value of the expression 5/8 - (-2/8) will be 7/8.
2. The value of the expression -3 1/5 + (-6 1/2) will be -97/10.
3. The value of the expression 5/8 - (-2/8) will be 7/8.
What is Addition?
The process of combining the two or more number is called Addition.
Given that;
The expression are;
1. 5/8 - (-2/8)
2. -3 1/5 + (-6 1/2)
3. 5/8 - (-2/8)
Now, Solve the expression as;
1. 5/8 - (-2/8) = 5/8 + 2/8
= 7/8
Thus, The value of the expression 5/8 - (-2/8) will be 7/8.
2. -3 1/5 + (-6 1/2) = - 16/5 - 13/2
= -32/10 - 65/10
= - 97/10
Thus, The value of the expression -3 1/5 + (-6 1/2) will be -97/10.
3. 5/8 - (-2/8) = 5/8 + 2/8
= 7/8
Thus, The value of the expression 5/8 - (-2/8) will be 7/8.
So, The solution are;
1. The value of the expression 5/8 - (-2/8) will be 7/8.
2. The value of the expression -3 1/5 + (-6 1/2) will be -97/10.
3. The value of the expression 5/8 - (-2/8) will be 7/8.
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There were 450 travelers on a flight to Orlando, and 80% of them checked luggage. How many travelers checked luggage?
Answer:
5.625
Step-by-step explanation:
450÷80 I hope I'm right and it helps if not I'm sorry.
Dilations and Partitions
A segment AB is partitioned as shown.
A
P
Complete the statement.
Answer:
3:7
Step-by-step explanation:
AR has 3 spaces while AB has 7 means its 3:7
.find s. The sign in the middle is greater than or equal to. Pleaseeeee help. I’m
Begging
2(4s - 3) <5+8s
_
On solving the inequality we get -6>5 which is not possible; hence there is NO SOLUTION possible for s.
We solve the given inequality for s as follows
2(4s-3) ≥ 5+8s
⇒8s - 6≥ 5 +8s
⇒ -6 > 5 (on subtracting 8s from both sides)
the last statement shows that variables cancel out from both sides of the inequality and we get -6>5 which is not possible. Because -6>5 is not possible or false, hence no value of s will be able to satisfy the given inequality. Thus the answer for s is NO SOLUTION.
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