The amount of discount in dollars is 28.17
To find the amount of the discount, we need to multiply the original price by the percentage that was discounted.
Discount = Original Price x (Discount Percentage/100)
Discount = 46.95 x (60/100) = 28.17
So, the amount of discount in dollars is 28.17
Iron dobrowski office exam he charges totaling $65. A primary insurance is an indemnity plan with 8515 coinsurance. She does not go on her deductible. What amount will be covered by the insurance plan and what amount if you will be billed to the patient
The amount that would be covered by the Insurance Plan would be and the amount that is billed to the patient is $ 9. 75
What is coinsurance ?The amount that would be covered by the insurance plan in a 85 / 15 coinsurance plan is 85 % of the bill. The amount to be covered by the insurance plan is:
= 85% x 65
= $ 55. 25
The amount billed to the patient is:
= Total bill - covered by insurance plan
= 65 - 55 .25
= $ 9. 75
In conclusion, the amount that would be covered by the insurance plan is $ 55. 25 and the amount to be billed to the patient to be paid by them is $ 9. 75.
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Right triangle ghi, shown in the coordinate plane below, is rotated 180 degrees clockwise about the origin and then dilated by a factor of 3, centered at the origin forming a new triangle g’h’i’. What is the area of the new triangle g’h’i’?
The area of the new triangle g’h’i’ is 9.
Describe area of triangle?The area of a triangle is a measure of the size of the triangle, calculated as the amount of space enclosed by its three sides. It can be calculated using the following formula:
Area = (base x height) / 2
where base is the length of one side of the triangle, and height is the perpendicular distance from the base to the opposite vertex.
If a triangle is rotated 180 degrees about the origin, its coordinates will change signs. If it is then dilated by a factor of 3, its coordinates will be multiplied by 3. The new triangle g'h'i' will have the following coordinates: g' (-3,0), h' (0,3), and i' (0,-3).
The height of the new triangle will be the absolute value of the difference between its y-coordinates: h = |3 - (-3)| = 6. The base of the triangle will be the absolute value of the difference between its x-coordinates: b = |-3 - 0| = 3.
Therefore, the area of the new triangle g'h'i' is: A = (1/2)bh = (1/2)(3)(6) = 9.
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I need help with this problem
the space between [tex]3x-2\ge -5 : $x \geq-1$[/tex] the time between
[tex]2x+5\le 17 : $x \leq 6$[/tex] . When two simple inequalities are combined, the result is a compound inequality.
What are compound inequalities in math?Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and." When a number resolves both inequalities, it also resolves the compound inequality. Compound inequality can come in two different forms. Both congruence and disjunction issues are at play.
Occasionally, these compound inequality formulas will be represented as two simple inequality formulas that have been separated by the words AND or OR. If there are multiple "and/or" compound inequalities, start by resolving each one separately. It is an inequality when two simple inequalities are combined to form it. The two expressions that make up an equation or an inequality are connected in a mathematical statement.
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ANYONE GOOD AT MATH!? PLEASE HELP!!
The values of g(g(4)) = 0 and f(f(3)) = - 3.
Equation of Parabola:A portion of the right cone known as a parabola is one that runs parallel to the generating line on one side of the iconic figure. The parabola is likewise a quadratic connection, much like the circle, however, unlike the circle, either 'A' or 'B' will be squared, but never both.
Here we have
Equation of parabola f(x) = x² - 2x - 3 and line g(x) = x - 2
Here we need to find g(g(4)) and f(f(3))
To find g(g(4)) take x = 4
g(4) = 4 - 2 = 2
=> g(g(4)) = g(2) = 2 - 2 = 0
Therefore, g(g(4)) = 0
To find f(f(3)) take x = 3
f(3) = 3² - 2(3) - 3 = 9 - 9 = 0
f(f(3)) = 0² - 2(0) - 3 = - 3
Therefore,
The values of g(g(4)) = 0 and f(f(3)) = - 3.
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A textbook store sold a combined total of 447 sociology and math textbooks in a week. The number of math textbooks sold was 57 less than the number of sociology textbooks sold. How many textbooks of each type were sold?
If a textbook store sold a combined total of 447 sociology and math textbooks in a week. The number of textbooks of each type that were sold is: 195 Math textbooks, 138 Sociology textbooks.
How to find the number of textbook that were sold?Let x represent the number of math textbooks
Let y represent the number of sociology
Altogether bookseller sold 447 math and sociology textbooks
Hence,
x + y = 447
Since the number of sociology textbooks sold was 57 less than the number of math books sold.
So:
y = x - 57
Substitute for y in the equation
x + y = 447
x + (x - 57) = 447
2x - 57 = 447
Combine like terms
2x = 447 -57
2x = 390
Divide both side by 2x
x = 390/2
x = 195 (Math textbooks)
y = x - 57
y = 195 -57
y = 138 ( Sociology textbooks)
Therefore 195 and 138 textbooks were sold.
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The table shows the costs of playing several carnival games. You have $20 and play each game twice. How much money do you have left?
Ring Toss : $1.50
Balloon Pop : $1.5
Basketball : $2.50
Answer:
$9 left
Step-by-step explanation:
1.50 x 2 = $3
1.50 x 2 = $3
2.50 x 2 = $5
5 + 3 + 3 = $11
$20 - $11 = $9
Answer:
9Step-by-step explanation:
1.50+1.50+3
1.50+1.50+3
2.50+2.50= 5
5 + 3 + 3 = 11
20 - 11 = 9
The total price for 7 movie tickets is $71.40. If each ticket costs the same amount, how much does one movie ticket cost?
Answer:
Each ticket costs: $10.20
Step-by-step explanation:
If all 7 tickets together add up to 71.40, you cna find the price of one by dividing.
Take 71.40 and divide that by 7
71.40 / 7 = 10.2
What is the square root of 6,7,8,9, and 10?
The square root of the numbers are 2. 45, 2. 65, 2. 82, 3 and 3. 16 respectively.
What is square root?The square root of a number is described as the factor that when multiply by itself would give the original
It is represented with the symbol, "√".
To determine the square root of a number is to find the opposite of the square of that same number.
It is also described as the number having the value of its power or exponent as 1/2
From the information given, we have to determine the square root of the numbers, we have;
a. √6
The square root of the number is 2. 45
b. √7
The square root of the number is 2. 65
c. The square root of 8
√8 = 2. 82
c. The square root of 9
√9 = 3
d. The square root of 10
√10 = 3. 16
Hence, the square root is the opposite of squaring the number
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Answer:
a) 2.45b) 2.65c) 2.82d) 3e) 3.16Step-by-step explanation:
i think this is right ans. of your question.......Which polynomial is a prime?
The prime polynomial in this problem is defined as follows:
D. 3x² + x - 6x + 3
What are prime polynomials?A prime polynomial is a polynomial that cannot be reduced, that is, the polynomial cannot be factored.
The reduced forms of each polynomial are given as follows:
x^4 + 2x² - 3.x^4 - 4x² + 3.3x² - 5x - 2.3x² - 5x + 3.The first polynomial can be factored as follows:
x^4 - x² + 3x² - 3
x²(x² - 1) + 3(x² - 1)
(x² + 3)(x² - 1).
It can be factored, hence it is not prime.
The second polynomial is factored as follows:
x^4 - 3x² - x² + 3
x^4 - x² - 3x² + 3
x²(x² - 1) - 3(x² - 1)
(x² - 3)(x² - 1).
It can be factored, hence it is not prime.
The third polynomial is factored as follows:
3x² + x - 6x - 2
3x² - 6x + x - 2
3x(x - 2) + x - 2
(x - 2)(3x + 1)
It can be factored, hence it is not prime.
The fourth polynomial cannot be factored, hence it is prime.
3x² + x - 6x + 3
3x² + 6x + x + 3
3x(x + 2) + x + 3.
x + 2 and x + 3 cannot be factored.
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Nakeisha bought a concert ticket online for $32. She used a coupon code to get a 30% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
The amount of the discount, in dollars and cents is $14.77
How to determine discount?Total amount paid for the ticket = $32
Percentage discount = 30% of x
Percentage processing fee = 5%
Total amount paid = x - (30% of x) + 5% of x
32 = x - 0.3x + 0.05x
32 = 0.65x
divide both sides by 0.65
x = 32/0.65
x = 49.23076923076923
Approximately,
x = $49.23
Therefore,
Percentage discount = 30% of x
= 0.3 × $49.23
= $14.769
Approximately,
$14.77
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the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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Help Please..
Cameron reports to work at 7:00 A.M. and leaves at 4:00 P.M. after typing from the end of page to the end of page 5 to the end of page 41. His employer pays $162.00 for his work.
The amount that Cameron is paid per hour, given the number of hours he worked, is $ 18 per hour
How to find the payment per hour ?To find the payment that Cameron got per hour, you first need to find the number of hours that he worked.
This number of hours is:
= 4 pm - 7 am
= 1600 hrs - 0700 hours
= 9 hours
The payment per hour is therefore:
= Amount Cameron paid / Number of hours worked
= 162 / 9
= $ 18 per hour
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The rest of the question is:
How much was Cameron paid per hour worked?
very important please help
The given angle 2.59 radian into degree is 148.40°.
What is radian and degree?
While a radian is another unit of measurement that is used to measure angles, a degree is a unit of measurement that is used to measure circles, spheres, and angles. The radian, or one pi radian, is only half the diameter of a circle, which has 360 degrees, or its entire area.
Given:
The angle in radian is 2.59.
We have to convert this angle into degree.
Since, the formula to convert angle θ from radian to degree is,
Radian = [tex]\frac{180}{\pi }[/tex] degree
= 2.59 x (180/π)
= 148.40°
Hence, the given angle 2.59 radian into degree is 148.40°.
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if a^2 = 3a + 1, find the value of (a+1/a)^2
Answer:First, we can simplify the equation a^2 = 3a + 1 by subtracting 3a and 1 from both sides, to get:
a^2 - 3a - 1 = 0
Now we can factor the left side:
(a-1)(a+1) = 0
This equation tells us that either a-1 = 0 or a+1 = 0. So, a = 1 or a = -1.
Next, we can substitute these values into the expression (a+1/a)^2
For a = 1, (1+1/1)^2 = 2^2 = 4
For a = -1, (-1+1/(-1))^2 = 0^2 = 0
So, the value of (a+1/a)^2 is 4 when a = 1, and 0 when a = -1
Step-by-step explanation:
(Look at picture) ty btw
The correct statements regarding the linear function G(t) = 10 - 2t are given as follows:
Initially, the tank has 10 gallons of gasoline.
The rate of consumption is of 2 gallons per hour.
The slope of G(t) represents the fuel consumption of the vehicle.
The t-intercept represents the time it takes for the vehicle to run out of gas.
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
The linear function is defined as follows:
G(t) = 10 - 2t.
In which the variables are:
G(t) is the amount of gasoline that the car has after t hours.
t is the time in hours.
The slope and the intercept are presented as follows:
Slope of -2: 2 gallons are consumed each hour.
Intercept of 10: The initial fuel in the car is of 10 gallons.
The t-intercept is:
10 - 2t = 0
2t = 10
t = 5.
Which is the time it takes for the car to run out of fuel.
Missing Information
The options are given by the image shown at the end of the answer.
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On A riverboat traveled 10 miles upstream against the
current in 5 hours. The return trip took only half
da
the amount of time while the boat traveled with the current.
a. Write an equation for the trip upstream.
b. Write an equation for the return trip.
c. Use combination/elimination to find the speed of the boat and the speed of the current.
Answer:
a. Let x be the speed of the boat in miles per hour and y be the speed of the current in miles per hour. Since the boat traveled upstream, the speed of the current is added to the speed of the boat. Therefore, the equation for the trip upstream is:
distance = (x + y) * time
10 = (x + y) * 5
b. For the return trip, the speed of the current is subtracted from the speed of the boat. Therefore, the equation for the return trip is:
distance = (x - y) * (time/2)
10 = (x - y) * (5/2)
c. To find the speed of the boat and the speed of the current, we can use the method of elimination. From the first equation, we have:
10 = 5x + 5y
From the second equation, we have:
10 = 2.5x - 2.5y
Now we can use the elimination method by multiplying the first equation by 2 and then subtracting the second equation from it.
20 = 10x + 10y
20 = 5x - 5y
so we have
0 = 5x + 5y - 5x + 5y
0 = 10y
The equation becomes impossible to solve as we can't divide by 0.
As we know that the speed of the boat and the speed of the current are non-zero numbers, we can't find the exact speed of the boat and the current. We can conclude that the information given is not sufficient to find the exact speed of the boat and the current.
Step-by-step explanation:
Help please I forgot how to do this cuz I’m in geometry but they give us algebra questions to practice with sometimes
Answer:
y = - 2x - 1--------------------------------------
As per table we see:
The y-coordinates decrease at a rate of - 2, it is representing the slope of the line.To find the y-intercept we add 2 to the value of y = - 3 when x = 1, it will represent y = - 1 at x = 0.
The slope-intercept form is:
y = mx + b, where m is the slope, which is - 2 and b is the y-intercept, which is - 1.After plugging in the values of m and b the line becomes :
y = - 2x - 1What is the equation of the line in slope-intercept form that passes through point (0, −2) and is parallel to the line y = -1/2 + 6? Show all necessary steps.
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 6 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes , then
slope of parallel line = - [tex]\frac{1}{2}[/tex]
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of parallel line
Cuando hay una potencia de una potencia se conserva la base y los exponentes se multiplican? Verdadero o falso
Verdadero. Cuando hay una potencia de una potencia, se conserva la base y los exponentes se multiplican.
What is the statement about?Para calcular la potencia de una potencia, se puede conservar la base y multiplicar los exponentes. Esto se basa en la propiedad matemática de la potenciación que establece que (a^b)^c = a^(b*c), donde a es la base, b es el primer exponente y c es el segundo exponente.
Por ejemplo, considere (2³)⁴. La base es 2 y el primer exponente es 3 y el segundo exponente es 4. El resultado sería 2^(3*4) = 2¹². Esto significa que la expresión original (2³)⁴ es igual a 2 elevado a la potencia de 12.
En general, cuando se tiene una potencia de una potencia, el resultado se obtiene conservando la base y multiplicando los exponentes. Esto permite simplificar la expresión y encontrar el resultado de manera más fácil.
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At the 2006 Winter Olympics in Torino, Italy, US speed skater Apolo Ohno took the gold medal for the 500m sprint by completing the course in 41.935 s. What was his average speed for this event in m/s.
The average speed of Apolo Ohno, in the sprint in the Winter Olympics in 2006, given the time taken to complete the course, was 11. 92 m /s
How to find the average speed ?A body's average speed is the mean value of its speed for a certain time period. The average speed formula is necessary because a moving body's speed vary over time instead than remaining constant. Even though the speed changes, we can still use the total time and total distance numbers, and with the help of the average speed calculation, we can determine a single value that represents the entirety of the motion.
Given the distance that Apolo Ohno had to sprint and the time he completed the course in, his average speed in the event was :
= 500 m / 41. 935 s
= 11. 92 m /s
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32 2 8. David and John Share $455 in Ratio OF respectively. 28 B How much money does John get . ?
The amount that John gets is given as follows:
$364.
How to obtain the amount that John gets?The amount that John gets is obtained applying the proportions in the context of this problem.
The ratio between the amounts that David and John gets is given as follows:
2:8.
Meaning that relative to the total amount, the fractions are given as follows:
David: 2/10 = 1/5.John: 8/10 = 4/5.The total amount is given as follows:
$455.
Hence the amount that John gets is given as follows:
4/5 x 455 = $364.
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Please helpp :,)
Use the graph to answer the questions on this quiz.
Over which of the following approximate interval(s) is the price decreasing?
▢ 4 < x < 6
▢ 6 < x < 10
▢ 0 < x < 4
▢ 10 < x < 16
Answer: I believe it is
4 < x < 6
10 < x < 16
√((1 - CSC² y) (COS²y-1))
The simplified trigonometric expression [tex]\sqrt{(1 - \csc^2{(y)}){(\cos^2{y} - 1)}}[/tex] is given as follows:
[tex]\sqrt{(1 - \csc^2{(y)}){(\cos^2{y} - 1)}} = \cot{y}\sin{y}[/tex]
How to simplify the trigonometric expression?The trigonometric expression for this problem is defined as follows:
[tex]\sqrt{(1 - \csc^2{(y)}){(\cos^2{y} - 1)}}[/tex]
Then trigonometric identities are used to simplify the radicands of the rational expression.
The identity that uses the cossecant squared is given as follows:
csc²(y) = 1 + cot²(y).
Hence:
1 - csc²(y) = -cot²(y).
The identity that uses the cosine squared is given as follows:
sin²(y) + cos²(y) = 1.
Hence:
cos²(y) - 1 = -sin²(y).
Then the expression can be simplified as follows:
[tex]\sqrt{(1 - \csc^2{(y)}){\cos^2{y} - 1}} = \sqrt{-cot^2{y} \times -\sin^2{y}}[/tex]
As the product of two negative numbers is positive, we have that:
[tex]\sqrt{cot^2{y}sin^2{y}}
Taking the square root of each squared term, the simplified expression is given as follows:
cot(y)sin(y).
Missing InformationThe problem asks for the simplified expression.
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Find the equation of the linear function represented by the table below in slope-intercept form.
x y
1 0
2 2
3 4
4 6
Answer:
y = 2x -2
Step-by-step explanation:
y = mx + b
We need the slope (m) and the y-intercept (b) to write the eqation.
The slope is the change in y over the change in x. We can see from the table that the y is changing by 2 as the x changes by 1
So the slope is 2/1 which is the same as 2
The slope (m) is 2.
The y-intercept is the place where the line crosses the y axis. It is at the point (0,b). When x is zero, what is y? If we follow the patter and move to the number before x is 1, we get x = 0. That means that we have to move back 2 units of the y's. That would be -2. So the y-intercept is the point (0,-2).
The y-intercept (b) is -2
y = 2x - 2
An electronics store has a 20% off sale. If a stereo originally costs $125
Answer:
Step-by-step explanation:
24
Simplify the equation
Answer:
Option C
Step-by-step explanation:
Simplify the expression:Factorize 768
768 = 4 * 4 * 4 * 4 * 3
For every four times of a constant or variable, take one constant or variable outside the fourth root.
[tex]\sqrt[4]{768x^8y^5}=\sqrt[4]{4*4*4*4*3 * (x^2)^4 * y^4 * y}[/tex]
[tex]=4x^2y\sqrt[4]{3y}[/tex]
Divide $940 among A,B,C in the ratio 1/3 : 1/4 : 1/5
Answer:
A = $400, B = $300, C = $240
Step-by-step explanation:
The ratio will be [tex]\frac{20}{60}:\frac{15}{60}:\frac{12}{60}[/tex], that means the total of them is (20 + 15 + 12 = 47).
Divide $940 by 47 to find the value of 1 unit [tex]\frac{940}{47}=20[/tex]
A = 20 × 20 = $400
B = 20 × 15 = $300
C = 20 × 12 = $240
ABCD is a quadrilateral in which angle A equal 86, angle C equal 110, and angle D equal 40. The angle ABC is bisected to cut the side AD at E. fine angle AEB
Using the given information, the measure of angle AEB is 62
Calculating the measure of an angleFrom the question, we are to determine the measure of angle AEB
From the given information, we have that
Angle A = 86°
Angle C = 110°
Angle D = 40°
First, we will calculate the measure of angle B
A + B + C + D = 360°
86 + B + 110 + 40 = 360 (Sum of angles in a quadrilateral)
B + 236 = 360
B = 360 - 236
B = 124
∴ Angle ABC = 124
Then,
Angle ABC is bisected
Therefore,
Angle AEB = 1/2 × 124
Angle AEB = 62
Hence, angle AEB is 62
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The equation of line 1 is shown.
v=-3x-1
Click to show whether each line, represented by their
equations, is parallel to line I, perpendicular to line 1, or neither
(Or just look at picture) lol
x = 3y perendicular to l
y = -3x parallel to l
y = 3x + 2 neither
x -3y = -6 perpendicular to l
6y = 2x + 10 perpendicular to l
What is Slope ?A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.
One approach for determining a line's slope from a graph is to use the formula immediately after knowing the coordinates of two points that are on the line. Let's assume that the coordinate values for the two spots are unknown. Therefore, we also have another way to determine the slope of the line. This approach entails attempting to determine the tangent of the angle formed by the line and the x-axis.
The line is
y = -3x -1
slope is -3 by slope intercept form
The line x = 3y
or y = (1/3)*x
slope is 1/3
we know for a line perpendicular to a given line slope should be -1/m so the slope will be (1/3)
so, x = 3y is perpendicular
y = -3x have slope -3 so it is parallel
y = 3x + 2 slope is 3 so neither
x - 3y = -6
or , y = (1/3)*x + 2 , so slope is (1/3) so perpendicular to line
And
6y = 2x + 10
here slope is 1/3 so perpendicular to line.
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X is the number of products. What is the minimum production cost?
Answer:
(125, -312500)
C(x) = -312500
Step-by-step explanation:
use this equation into a graphing calculator and use the minimum function
