need help with this problem drop down 1, 2 dashed, soliddrop down 3 4 below, above
Answers
The boundary line is graphed as a dashed line if the symbols < or > are used, and as a solid line if the symbols ≥ or ≤ are used.
For an inequality in slope-intercept form, the half-plane above the line is shaded if the symbols > or ≥ are used, and the half-plane or ≤ are used. the line is shaded if the symbols < or ≤ are used.
Related Questions
convert 450 m/s to m/h
Answers
1,620,000 m/h
1) To convert 450 m/s we can set out the following:
[tex]\frac{450}{1s}\text{ }\times3600s=1,620,000[/tex]Since 1 hour is equivalent to 3600s then we can simply multiply by 3600 once the unit meter remains the same. m/s to m/h
2) Hence, the answer is 1,620,000 m/h
Which table represents a linear function?
Answers
The most appropriate choice for function will be given by-
The first option is correct
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here,
For the first table,
Slope of function from x = 1 to x = 2
= [tex]\frac{1 - \frac{1}{2}}{2 - 1}[/tex]
=[tex]\frac{1}{2}[/tex]
Slope of function from x = 2 to x = 3
= [tex]\frac{\frac{3}{2}-1}{3 - 2}[/tex]
= [tex]\frac{1}{2}[/tex]
Slope of function from x = 3 to x = 4
= [tex]\frac{2-\frac{3}{2}}{4 - 3}[/tex]
= [tex]\frac{1}{2}[/tex]
Here the slope is same. So the function is linear
For the second table,
Slope of function from x = 1 to x = 2
= [tex]\frac{\frac{1}{2} - 1}{2 - 1}[/tex]
=[tex]-\frac{1}{2}[/tex]
Slope of function from x = 2 to x = 3
= [tex]\frac{\frac{1}{3}-\frac{1}{2}}{3 - 2}[/tex]
= [tex]-\frac{1}{6}[/tex]
Here the slope is not same. So the function is not linear
For the third table,
Slope of function from x = 1 to x = 2
= [tex]\frac{9 - 7}{2 - 1}[/tex]
= 2
Slope of function from x = 2 to x = 3
= [tex]\frac{13 - 9}{3 - 2}[/tex]
= 4
Here the slope is not same. So the function is not linear
For the Fourth table,
Slope of function from x = 1 to x = 2
= [tex]\frac{6 - 0}{2 - 1}[/tex]
=[tex]6[/tex]
Slope of function from x = 2 to x = 3
= [tex]\frac{16 - 6}{3 - 2}[/tex]
= 10
Here the slope is not same. So the function is not linear
So the first option is correct
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Can’t find the correct answer pls help
Answers
A washer and a dryer cost $935 combined. The washer costs $85 more than the dryer. What is the cost of the dryer?
Answers
Answer: $325
Step-by-step explanation:
How do i fill the boundaries for each class? how do i draw a histogram to illustrate this information ? how can i calculate the median age of the population?
Answers
Given:
The tabular representation of the data is given.
Required:
Histogram and Median of the given data.
Explanation:
The histogram of the given data is calculated as follows:
Figure 1
The median of the given set of data is calculated as,
Answer:
Thus figure 1 represents the histogram of the given data. The median of the given set of data is 27.7353.
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.48 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 3% and the bottom 3%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answers
The two diameters that separate the top 35 from the bottom 35 in the normal distribution are 5.35 mm and 5.61 mm .
Normal distributions are crucial to statistics because they are widely used in the natural and social sciences to represent real-valued covariates whose distributions are unknown.
Some of their significance comes from the main limit theorem. This claim states that, in some cases, the average of many samples (observations) of a stochastic process with limited mean and variance constitutes itself as a random variable, whose distribution tends to become more normal as the number of samples increases. Because of this, the distributions of physical quantities, like misspecification, which are thought to be the consequence of hundreds of distinct processes, are frequently close to normal.First we will find the bottom 3% such that P(X ≤ x) = 0.03
⇒ [tex]P(\frac{X-5.48}{0.07}\leq \frac{x-5.48}{0.07} )=0.03[/tex]
⇒[tex]P(Z\leq \frac{x-5.48}{0.07} )=0.03[/tex]
Now we will use the normal table to calculate the corresponding z-score.
[tex]\frac{x-5.48}{0.07} =-1.88\\\\\implies x = 5.348[/tex]
Now we will find the same for the top part of the distribution.
[tex]P(\frac{X-5.48}{0.07}\leq \frac{x-5.48}{0.07} )=0.97\\\\\implies P(Z\leq \frac{x-5.48}{0.07} )=0.97[/tex]
Now we will use the normal table to calculate the corresponding z-score.
[tex]\frac{x-5.48}{0.07} =1.88\\\\\implies x = 5.612[/tex]
The two diameters that separate the top 35 from the bottom 35 in the normal distribution are 5.35 mm and 5.61 mm .
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Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 128.
Answers
The probability that the IQ is less than 128 is 0.91924
How to determine the probability?The given parameters about the distribution are
Mean value of the set of data, μ = 100Standard deviation value of the set of data σ = 20IQ value, x = 128The z-score of the data value is calculated as
z = (x - μ)/σ
Substitute the given parameters in the above equation
z = (128 - 100)/20
Evaluate
z = 1.4
The probability that the IQ is less than 128 is then calculated as:
P(x < 128) = P(z < 1.4)
From the z table of probabilities, we have;
P(x < 128) = 0.91924
Hence, the probability is 0.91924
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Pls help asap
Find the product of 5.3 x 10^12 and 5.12 x 10^9. Write the final answer in scientific notation.
2.7136 x 10^21
2.7136 x 10^22
27.136 x 10^21
27.136 x 10^22
Answers
Answer:
B. 2.7136 x 10^22
Step-by-step explanation:
Hope this helps :))
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
o Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50)
o Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50)
What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) /
Answers
If the average weight calculated by Val is 1380 pounds with standard deviation 50 of 100 cows, then Val's margin of error will be 9.80.
Given that average weight found by Val is 1380 pounds with standard deviation 50 of 100 cows.
We are required to find the margin of error of Val's data.
Margin of error is the difference between the actual data and the calculated data.
Margin of error=1.96*σ/[tex]\sqrt{n}[/tex]
In our case σ=50 and n is 100.
Margin of error=1.96*50/[tex]\sqrt{100}[/tex]
=1.96*50/10
=1.96*5
=9.80
Hence if the average weight calculated by Val is 1380 pounds with standard deviation 50 of 100 cows, then Val's margin of error will be 9.80.
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7.4.PS-15 Question Help Juanita has 3 rectangular cards that are 7 inches by 8 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards? The perimeter of the polygon is 58 in. (Type a whole number.) How will the area of the polygon compare to the combined area of the 3 cards? O A. The areas will be equal. OB. The area of the polygon will be greater than the combined area of the cards. OC. The area of the polygon will be less than the combined area of the cards. OD. This is impossible to determine with the given information. Click to select your answer and then click Check Answer. All parts showing Clear All Check Answer Review progress Question 8 of 10 Back Next →
Answers
Since there is no overlapping the area of the polygon must be equal to the combined area of the cards.
"An orchestra of 120 players take 70 minutes to play Beethoven's 9th symphony," "How long would it take for 60 players to play the symphony?"Answer the question an explain*
Answers
We have that in 70 minutes 120 players of an orchestra play Beethoven's 9th symphony because it always lasts 70 minutes.
The lenght of a musical piece does not depend in the number of musicians playing it. The orchestra could have 2 violinists more or less and they still will play the same 70 minutes musical piece.
Then, an orchestra of 60 players would take the same 70 minutes to play Beethoven's 9th symphony.
Answer: 70 minutesA candy company has decided to sell candy in a new package that is shaped like a triangular prism in order to calculate the volume of the package, the area of the base must be determined.If the base of the package is equilateral triangle with sides 10 centimeters (cm) long, what is the area of the base?
Answers
Using the formula for the area of the equilateral triangle, we have:
[tex]\begin{gathered} A=\frac{\sqrt[]{3}}{4}a^2 \\ A=\frac{\sqrt[]{3}}{4}(10)^2cm^2\text{ (Replacing)} \\ A=\frac{\sqrt[]{3}}{4}(100)^{}cm^2\text{ (Raising 10 to the power of 2)} \\ A=25\sqrt[]{3}\text{ }cm^2\text{(Dividing 100 by 4}) \\ A=43.3\text{ }cm^2\text{ (Multiplying 25 by }\sqrt[]{3}) \\ \text{The answer is 43.3 cm}^2 \end{gathered}[/tex]price. Find the sale price. There are 252 students on the student council at West High School. If there are 700 students enrolled, what percent are on the student council?
Answers
We have in total 700 students
252 students are on the students council
700 is 100%
252 is x
x represents the percentage of the student's council, in order to calculate x we need to do the next operation
[tex]x=\frac{252\cdot1}{700}=0.36[/tex]252 is the 36%
the percent of students that are on the student council is 36%
Find the orthogonal trajectories of the family of curves. y^2=6KX^3
Answers
The orthogonal trajectories of the family of curves y² = 6Kx³ will be [tex]y = \sqrt{6(C-\frac{x^2}{4}}[/tex]
What is the orthogonal trajectory?
An orthogonal trajectory of a family of curves is any curve that forms right angles with each member of the family. The curve does not always have to cross each member of the family.
It is given that,
y² = 6Kx³
Differentiate both sides we get,
[tex]\rm 2y = 6k(3x^2) \frac{dy}{dx} \\\\ \frac{dy}{dx} =\frac{2y}{18Kx^2}[/tex]
Substitute the value of K as
[tex]\rm K = \frac{y^2}{6x^3}[/tex]
[tex]\frac{2y}{18(\frac{y^2}{6x^3})x^2} = \frac{dy}{dx} \\\\ \frac{dy}{dx} = \frac{2x}{3y}[/tex]
Consider the negative reciprocal to find the perpendicular slope.
[tex]\frac{-3y}{2x} =\frac{dy}{dx} \\\\ - \int {\frac{1}{2x} \ dx = \int \frac{1}{3y} dy \\\\[/tex]
[tex]-\frac{x^2}{4}+C = \frac{y^2}{6}[/tex]
Simplify,
[tex]\rm 6(-\frac{x^2}{4}+C)= y^2 \\\\ y = \sqrt{6(C-\frac{x^2}{4}}[/tex]
Thus, the orthogonal trajectories of the family of curves y² = 6Kx³ will be [tex]y = \sqrt{6(C-\frac{x^2}{4}}[/tex]
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Multiply. Stars and restrictions on the variable. Simplify the rational expression.
Answers
Given,
The expression is:
[tex]\frac{x^2+2x-8}{x^2+4x-12}\times\frac{5x+30}{x+5}[/tex]Required:
The simplified rational expression.
Simplifying the expression,
[tex]\begin{gathered} \frac{x^2+2x-8}{x^2+4x-12}\times\frac{5x+30}{x+5}=\frac{x^2+4x-2x-8}{x^2+6x-2x-12}\times\frac{5x+30}{x+5} \\ =\frac{x(x+4)-2(x+4)}{x(x+6)-2(x+6)}\times\frac{5(x+6)}{x+5} \\ =\frac{(x+4)(x-2)}{(x+6)(x-2)}\times\frac{5(x+6)}{x+5} \\ =\frac{(x+4)}{1}\times\frac{5}{x+5} \\ =\frac{5(x+4)}{x+5} \\ =\frac{5x+20}{x+5} \end{gathered}[/tex]Hence, the simplified rational expression is (5x+20)/(x+5).
The restriction of the expression is:
[tex]x\ne-5,\text{ 2,-6}[/tex]
The dimensions of a tennis court are 27 feet by 78 feet. The dimensions of a ping pong table are 9 feet by 5 feet. Is a tennis court a dilation of a ping pong table? Explain why or why not.
Correctly answer yes or no (4 points)
Provide a clear and logical explanation (6 points)
Answers
No, The ratios are not equal tennis court is not a dilation of the table.
Given,
The dimensions of a tennis court are 27 feet by 78 feet.
The dimensions of a ping pong table are 9 feet by 5 feet.
To check the:
Is a tennis court a dilation of a ping pong table?
Now, According to the question:
For Tennis Court :
Dimensions is 27feet by 78feet
For Ping Pong Table:
Dimensions is 9 feet by 5 feet
To check that:
27/5 = 27/5 (Take lengths of tennis court and ping pong table )
78/9 = 26/3 (Take breadths of tennis court and ping pong table )
∴ 27/3 ≠ 26/3
Since, No, The ratios are not equal tennis court is not a dilation of the table.
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A linear function is shown on the graph
6
What is the domain of the function?
O(x10≤x≤4)
O(x10
Oy 12sy≤6)
0012
Question 1 (Answered)
Answers
MATHEMATICALLY we say
[tex]0 \leqslant x \leqslant 4[/tex]
THAT IS THE DOMAIN OF THE GRAPH
THAT IS THE DOMAIN OF THE GRAPHOPTION A IS THE ANSWER.
What is the solution to this system of equations?X+ 2y = 4| 2x-2y = 5(3.-5)(3.)no solutioninfinitely many solutions
Answers
The given system of equation :
x +2y =4
2x -2y =5
On adding both equation we get
x+2y+2x-2y=4+5
3x=9
x=3
So, for y, substitute x=3
x+2y=4
3+2y=4
2y=4-3
2y=1
y=1/2
The solutions is (3,1/2)
The system of linear equation have infintely many solution if they are coincidient, i.e. slope are equal
The given expression :
x+2y =4
2y=4-x
y=(4-x)/2
y = 2-x/2
So slope is (-1/2)
The second equation : 2x-2y=5
2y=2x-5
y=(2x-5)/2
y=x-
write the quadratic equation whose roots are -2 and 1 and whose leading coefficient is 4 using the letter x to represent the variable
Answers
The quadratic equation is y = 4. (x + 2)(x - 1).
Given,
The roots are -2 and 1 and whose leading coefficient is 4 using the letter x to represent the variable.
To Write the Quadratic Equation by using above given:
Now, According to the question:
Roots are -2 and 1
Leading Coefficient is = 4
Using Variable is = x
Formulate the equation of polynomial function is
y = 4. (x + 2)(x - 1)
Hence, The quadratic equation is y = 4. (x + 2)(x - 1).
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Among the following which is the best
example for unlike terms?
O8x, 9t
O 9x-2x
О 3р. 5р
All of the choices
Answers
The variable X and T are different and cannot be combined.
Hope this helps :)
Please help me solve this problem it’s my last question on my hw
Answers
To solve this problem, we will use the following expression:
[tex]\frac{favorable\text{ outcomes}}{total\text{ outcomes}}.[/tex]In this case:
[tex]\begin{gathered} Total\text{ outcomes}=21+6+6=33, \\ favorable\text{ outcomes}=6. \end{gathered}[/tex]Substituting the above values in the expression, we get:
[tex]\frac{6}{33}.[/tex]Finally, simplifying the above result, we get that the probability that his shirt number is from 67 to99 given that he weighs at most 210 pounds is:
[tex]\frac{2}{11}.[/tex]Answer:
[tex]\frac{2}{11}.[/tex]Evaluate each function in the table at f (3).
Enter the correct answers in the boxes in the table.
Σ
Functions
Function
f(x) = 3x + 5
f(x)=x²-1.5
3
f(x) = 2x
ƒ(3)
Answers
The answer to the given functions are:
1) f (3) = 3 × 3 + 5 = 14
2) f( 3 ) = (3)² - 1.5 = 7.5
3) f (3) = 3×2 = 6
What are functions ?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
A function is a type of rule that produces one output for a single input.. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
Given : Functions are f(x) = 3x + 5 ------- 1
f(x)=x²-1.5 --------- 2 and f(x) = 2x -----------3
Thus when we put x = 3 we will get the following values that is ;
1 becomes f (3) = 3 × 3 + 5 = 14
and 2 becomes f( 3 ) = (3)² - 1.5 = 7.5
And 3 becomes f (3) = 3×2 = 6
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TRIG ANALYSIS- THE LAW OF SINES- THE AMBIGUOUS CASERecall that your triangle should be set up so that angside b, and angle C is opposite side c.PLEASE HELP. WILL MARK BRAINLIEST
Answers
The sine law is described by the equation
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]1) Given angle C, length of side b, and length of side c, we are looking for the value of angle B. The angle B can be computed using
[tex]\begin{gathered} \frac{\sin B}{b}=\frac{\sin C}{c} \\ \sin B=\frac{b}{c}\sin C \end{gathered}[/tex]Substitute the values on the equation above and solve, we get
[tex]\begin{gathered} \sin B=\frac{34}{31}\sin (65)=0.994 \\ B=\sin ^{-1}(0.994) \\ B=83.7 \end{gathered}[/tex]Thus, angle B is equal to 83.7 degrees.
2) Given angle B, length of side a, and length of side b, we are looking for the value of angle A. The angle A can be computed using
[tex]\begin{gathered} \frac{\sin A}{a}=\frac{\sin B}{b} \\ \sin A=\frac{a}{b}\sin B \end{gathered}[/tex]Substitute the values on the equation above and solve, we get
[tex]\begin{gathered} \sin A=\frac{10}{5}\sin (126)=1.62 \\ A=\sin ^{-1}(1.62)=Error_{} \end{gathered}[/tex]There are no valid measurements for angle A on this solution.
3) Given angle C, length of side c, and length of side b, we are looking for the value of angle B. The angle B can be computed using
[tex]\begin{gathered} \frac{\sin B}{b}=\frac{\sin C}{c} \\ \sin B=\frac{b}{c}\sin C \end{gathered}[/tex]Substitute the values on the equation above and solve, we get
[tex]\begin{gathered} \sin B=\frac{22}{24}\sin (22)=0.3728 \\ B=\sin ^{-1}(0.3728)=21.9 \end{gathered}[/tex]Thus, angle B is equal to 21.9 degrees.
4. Given angle A, length of side c, and length of side a, we are looking for the value of angle C. The angle C can be computed using
[tex]\begin{gathered} \frac{\sin C}{c}=\frac{\sin A}{a} \\ \sin C=\frac{c}{a}\sin A \end{gathered}[/tex]Substitute the values on the equation above and solve, we get
[tex]\begin{gathered} \sin C=\frac{34}{32}\sin (64)=0.955_{} \\ C=\sin ^{-1}(0.955)=72.74 \end{gathered}[/tex]Thus, angle C is equal to 72.74 degrees.
5. Given angle A, length of side c, and length of side a, we are looking for the value of angle C. The angle C can be computed using
[tex]\begin{gathered} \frac{\sin C}{c}=\frac{\sin A}{a} \\ \sin C=\frac{c}{a}\sin A \end{gathered}[/tex]Substitute the values on the equation above and solve, we get
[tex]\begin{gathered} \sin C=\frac{9}{17}\sin (127)=0.4228 \\ C=\sin ^{-1}(0.4228)=25.0 \end{gathered}[/tex]Thus, angle C is equal to 25.0 degrees.
Hanson is fixing up his home and must spend less than $6,900 to hire carpenters and painters. Carpenters charge $41 per hour and painters charge $16 per hour.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
Answers
A) The inequality for the situation is 41x + 16y < 6900
B) The painter can work less than 97 hours without exceeding the budget of Hanson.
Given,
The total money spend by Hanson = < $6900
The charge for carpenters = $41 per hour
The charge for painters = $16 per hour
A) We have to find an inequality for this situation.
Lets take,
Carpenters working hours = x
Painters working hours = y
So, the inequality will be like:
41x + 16y < 6900
B) Now, we have to find the number of hours the painter can work without exceeding his budget if he hires carpenter.
Carpenters working hours = 50
Then, the charge will be = 50 × 41 = 2050
Then,
6900 - 2050 = 4850
The balance amount will be less than 4850.
So, the working hours of painter:
y < 4850 / 50
y < 97
That is, the painter can work less than 97 hours without exceeding the budget of Hanson.
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The question is incomplete. Completed question is given below:
Hanson is fixing up his home and must spend less than $6,900 to hire carpenters and painters. Carpenters charge$41 per hour and painters charge $16 per hour.
Part A: Write an inequality to represent the situation.
Part B: If he hires a carpenter for 50 hours, what is the maximum number of hours the painter can work without exceeding his budget?
grant is rolling a six sided number die eight times. How many possible outcomes are there?
Answers
The die has 6 faces
[tex]\begin{gathered} \text{ In n number of throws, the number outcomes is given by 6}^n \\ ^{} \end{gathered}[/tex][tex]\begin{gathered} \text{ In 8 throws, the possible outcomes will be 6}^8 \\ =1679616 \end{gathered}[/tex]If 9x - 3 = 4, what does 9x - 2 = ?
Answers
it is given that
9x - 3 = 4
then we can write this
9x - (2+1) = 4
9x - 2 -1 =4
9x - 2 = 4 +1
9x - 2 = 5
so the answer is 5
a. Write a formula for the perimeter P of the square.Type your answer into the box below.b. Write a formula for the area A of the square,Type your formula into the box below.
Answers
a. The formula for the perimeter of a square is P=4L, where L is the length of it's sides.
b. The formula for the area of a square is A=LxL=L^2, where L is the length of it's sides.
help me with the 17 pls just give me the answer
Answers
Solution
Evaluate each function below for the given equation
17.
[tex]f(x)=11x-9[/tex]f(2) is when the value of x = 2
[tex]\begin{gathered} f(x)=11x-9 \\ f(2)=11(2)-9 \\ f(2)=22-9 \\ f(2)=13 \end{gathered}[/tex]18.
[tex]g(x)=-4(g+2)\text{ for g\lparen5\rparen}[/tex]g(5) is when the value of x = 5
[tex]\begin{gathered} g(x)=-4(g+2) \\ g(x)=-4g-8 \\ g+4g=-8 \\ 5g=-8 \\ g=-\frac{8}{5} \end{gathered}[/tex]19.
[tex]f(x)=3+2(-x)[/tex]
f(-1) is when the value of x = -1
[tex]\begin{gathered} f(x)=3+2(-x)\text{ for x = -1} \\ f(-1)=3+2(-(-1)) \\ f(-1)=3+2 \\ =5 \end{gathered}[/tex]Write in point-slope form an equation of the line through the pair of points (2,0) and (6,10). Type an equation of the line in point-slope form using one of the given points.
Answers
The point-slope form of a line is
[tex]y-y_1=m(x-x_1)_{}[/tex]where (x_1, y_1) are the coordinates of a point on the line.
From the given point we find the slope m.
[tex]m=\frac{10-0}{6-2}=2.5[/tex]With the value of the slope in hand, we now use one of the points given to write down the point-slope form:
[tex]\textcolor{#FF7968}{y-10=2.5(x-6)}[/tex]where we have used the point (6, 10).
Ruben purchases a violin that is on sale for a total price of$1,250, which includes tax and all other fees. He makes aninitial payment of $300 in cash and puts the remainder on hisnew credit card. He makes no other purchases on the card andpays off the credit card balance with 9 monthly payments of$150. What is the difference between the total amount Rubenpays for the violin, including the initial payment and the creditcard payments, and the sale price of the violin?
Answers
Given:
Actual price of a violin is $1,250
Credit card monthly payment as $150.
Initial payment is $300.
[tex]\text{Total money paid by Ruben for violin=300+(150}\times9)[/tex][tex]\text{Total money paid by Ruben for violin=300+}1350[/tex][tex]\text{Total money paid by Ruben for violin= \$1650}[/tex]The difference between the total amount Ruben pays for the violin, including the initial payment and the credit card payments, and the sale price of the violin:
[tex]\text{Diffference amount=1650-1250}[/tex][tex]\text{Diffference amount= \$400}[/tex]Difference amount is $400.
