With an income of $57,890, you need to pay $12,735.8 in taxes.
What is mean by proportion?
A proportion is a fraction of a total amount, in which two ratios are set equal to each other.
Given that;
For incomes from $38,701 up to $82,500, you need to pay 22% in taxes.
And, No federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500.
Now,
An income of $57,890 is in this range, hence the amount paid is given by;
Amount paid = 57890 x 22%
= 57890 x 0.22
= $12,735.8.
So, Paid amount for the tax = $12,735.8
Thus, With an income of $57,890, you need to pay $12,735.8 in taxes.
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A triangle has an area of 20in every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180in . what was the scale factor
If a triangle has an area of 20in every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180in . the scale factor is 3.
Scale factorFirst step is to calculate the area
Area:
Area = New triangle /Old triangle
Area = 180 / 20
Area = 9
Second step is to calculate the ratio of areas
Ratio of areas :
Ratio of areas = 9
Ratio of areas = (3)²
Hence,
Scale factor : 3
Therefore the scale factor is 3.
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raise the difference of h and 4 to the 10th power
Answer:
h-4^10
Step-by-step explanation:
The difference of h and 4 is h-4
to the 10th power, is putting 10 as the exponent.
QUESTION: William started with 40 pieces of candy and gave away x pieces. Hannah had 70 pieces of candy and gave away three times as many pieces as William did.
How many pieces of candy did William give away if they had the same number of pieces of candy left?
A. 30
B. 18
C. 15
D. 8
The pieces of candies that William gave away is 15.
How many pieces of candy did William give away?The linear expression that can be used to determine the number of candies left is:
Pieces of candies left = initial pieces of candies - number of candies given out
Pieces of candies left when William gave out candies : 40 - x
Pieces of candies left when Hannah gave out candies : 70 - 3x
If they have the same pieces of candies left, the two above expressions would be equal.
40 - x = 70 - 3x
3x - x = 70 - 40
2x = 30
x = 15
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Determine whether y varies directly with x. If so, find the constant of variation and write the equation. x=-2,-4,-16 y= -4, -8, -32
For given data y varies directly with x and the constant of variation is 2.
And the equation is y = 2x
In this question, we have been given some values of x and y.
we need to determine whether y varies directly with x.
If so, find the constant of variation and write the equation.
x = -2, -4, -16
y = -4, -8, -32
Consider the ratio y/x
-4/-2 = 2
-8/-4 = 2
-32 / -16 = 2
As y/x ratio is constant, y varies directly with x.
and the constant of variation is 2.
Also, the equation from given x, y values would be,
y = 2x
Therefore, for given data y varies directly with x and the constant of variation is 2.
And the equation is y = 2x
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(2x + 12y = −17) (3x + 2y = 7) value of x and y
Answer:
x = (59/16)
y = (-65/32)
Step-by-step explanation:
2x + 12y = −17
3x + 2y = 7
--------------------------
(2x + 12y = −17) × 3
6x + 36y = -51
(3x + 2y = 7) × -2
-6x - 4y = -14
----------------------------------
6x + 36y = -51
-6x - 4y = -14
-----------------------
32y = -65
÷32 ÷32
--------------------------
y = (-65/32)
3x + 2y = 7
3x + 2(-65/32) = 7
3x - (65/16) = 7
+(65/16) +(65/16)
-------------------------------
3x = (177/16)
÷3 ÷3
---------------------------
x = (59/16)
I hope this helps!
(f o g)(x):
f(x)=x^2+9 and g(x)=x^2-9
The composite result function of ( f ° g )(x) in the given functions f( x ) = x² + 9 and g( x ) = x² - 9 is x⁴ - 18x² + 90.
What is the composite result function of ( f ° g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
f( x ) = x² + 9g( x ) = x² - 9( f ° g)(x) = ?First, we set up the composite result function f(g(x)).
f( x ) = x² + 9
f( g(x) ) = f( x² - 9 ) = ( x² - 9 )² + 9
f( g(x) ) = ( x² - 9 )² + 9
Expand the parenthesis
f( g(x) ) = ( x² - 9 )( x² - 9 ) + 9
f( g(x) ) = ( x²( x² - 9 ) -9( x² - 9 ) + 9
f( g(x) ) = x⁴ - 9x² - 9x² + 81 + 9
Collect and add like terms
f( g(x) ) = x⁴ - 18x² + 81 + 9
f( g(x) ) = x⁴ - 18x² + 90
Therefore, ( f ° g )(x) in the given functions is x⁴ - 18x² + 90.
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Marta went to the local discount store to stock up on school supplies. She bought four spiral notebooks at $1.50 each, a package of pens for $3.95, three felt tip markers at $.99 each, and a three-ring binder for $5.00. The sales tax is 6.5%. What was the total price Marta paid at the checkout counter?
Answer: 18.7598
Step-by-step explanation:
4 x 1.50= 6
6+ 3.95=9.95
3x 0.99= 2.97
2.97 + 9.95= 12.92
12.92+ 5= 17.92
6.5% of 12.92= 0.8398
6.5% of 12.92 + 17.92= 18.7598.
The quotient of 1 and the square of a number
Answer: 1
Step-by-step explanation: The reciprocal squared of an integer may be found by taking the quotient of 1 and the square of the number. A number's inverse, also known as the number that must be multiplied by in order to get 1, is referred to as the number's reciprocal.
Use the slope-intercept form to graph the equation
Question content area bottom left
Part 1
Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line.
The graph of the equation y = -6/7x + 2 that shows the slope and y-intercept is shown in the image attached.
What is the Slope-Intercept Form of the Equation of a Line?y = mx + b represents the equation of a line in slope-intercept form. In y mx + b, we have the following parameters of the line it represents:
m = the slope of the line, which is the change in y / the change in x or rise/run of the line.b = the point the line intercepts at the y-axis which is the y-intercept where x = 0.Given the equation of a line in slope-intercept form as y = -6/7x + 2, it means that the graph of the line you are to plot would have a negative slope (m) of -6/7, and must intercept the y-axis at y = 2.
So, to draw the line of the equation that was given in slope-intercept form as y = -6/7x + 2, you have to use a slope of -6/7 that show the steepness of the line, and a y-intercept of 2, that shows where the line intercepts the y-axis of the graph at y = 2, of which the corresponding x-coordinate must be equal to zero.
Therefore, the graph of y = -6/7x + 2 is shown below.
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The points (h,0) and ( – 9, – 6) fall on a line with a slope of 6. What is the value of h?
Answer:
-8
Step-by-step explanation:
[tex]\frac{-6-0}{-9-h} = 6\\6(-9-h)=-6\\-9-h=-1\\-h=8\\h=-8[/tex]
Answer:
Step-by-step explanation:
Given:
x1 = h
y1 = 0
x2 = - 9
y = - 6
k = 6
_______
h - ?
y = k*x + b
y = 6*x + b
1)
y2 = 6*x2 + b
-6 = 6*(-9) + b
-6 =- 54 + b
b = 54 - 6
b = 48
2)
y = 6*x + 48
y1 = 6*x1 + 48
0 = 6*h + 48
6*h = - 48
h = - 8
Find the y-intercept of the line 15x+y=-4
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
u vu h,j h j h jcuvugogjjvjccjcjcvk
FISRT RIGHT THEN EQUATION IN THE GENERAL FORM y=mx+c
y=-4-15x
In the y intercept the x coordinate in the axis is 0.
therefore we can plug in the value 0 in the place of x and solve for y
[tex]y = - 4 - 15(0) \\ y = - 4[/tex]
The y intercept is -4.
solve it if u can i bet u
The value of x³(x³ - 18) if x(x - 3) = -1 is -1.
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
We have been given that
x(x - 3) = -1 ....... eq(1)
Find out the value of
x³(x³ - 18) ........eq(2)
We first simplify the value of x in equation (1)
x(x−3)=−1
Divide by x on both side
x(x−3)/x = −1/x
(x−3)=−1 /x
Rewrite as
x + 1/x = 3
Taking cube on both sides
(x + 1/x)³ = 3³
x³ + (1/x)³ = 27 - 3×3
x³ + (1/x)³ = 27 - 9
x³ + (1/x)³ = 18
Multiply by x³
x^6 + 1 = 18x³
x^6 - 18x³ = -1
x³(x³ - 18) = -1
Hence, the value of equation x³(x³ - 18) is also -1.
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What is the area of the shaded part of the figure
Answer: 102in
Step-by-step explanation:
the rectangle in the top right corners dimensions are 3in by 4in therefore that area is 12in then moving onto the larger rectangle the dimensions at the bottom are 10in and the dimensions for the side are 9in (6+3) so the area of the larger rectangle is 90. adding the two areas together gives a total shaded area of 102in
Answer: the area of the shaded part of the figure is 102in
Step-by-step explanation:
6+3=9 (length of the sides of the figure)
10+4= 14 (length of the bottom of the figure)
9x14 = 126 (area of entire figure)
4x6= 24 (area of the white part of the figure)
126-24 = 102 (area of the shaded part of the figure)
hope this helps!
Question 1 : given the replacement set {0,1, 2, 3, 4} . solve 5x - 6 = 9
Question 2: Given the replacement set {2, 3, 4, 5} . Solve 8x + 4 = 5x - 6
The solution to the equations are x = 3 and no solution in the set, respectively
How to solve the equations using the replacement sets?Question 1
The equation is given as:
5x - 6 = 9
The replacement set is given as
{0,1, 2, 3, 4}
So, we replace the variables using the elements in the replacement set
When x = 0, we have
5(0) - 6 = 9
- 6 = 9 -- false
When x = 1, we have
5(1) - 6 = 9
- 1 = 9 -- false
When x = 2, we have
5(2) - 6 = 9
4 = 9 -- false
When x = 3, we have
5(3) - 6 = 9
9 = 9 -- true
Hence, the value of the equation is x = 3
Question 1
The equation is given as:
8x + 4 = 5x - 6
The replacement set is given as
{2, 3, 4, 5}
So, we replace the variables using the elements in the replacement set
When x = 2, we have
8(2) + 4 = 5(2) - 6
20 = 4 -- false
When x = 3, we have
8(3) + 4 = 5(3) - 6
28 = 9 -- false
When x = 4, we have
8(3) + 4 = 5(4) - 6
28 = 14 -- false
When x = 5, we have
8(5) + 4 = 5(5) - 6
44 = 19 -- false
Hence, the value of the equation is not in the solution set
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ABCDE is a rectangular-based pyramid with a height of 14 cm.
13 cm
E
Submit Answer
1
0
D
Find the angle between the line DE and the plane ABCD.
Give your answer correct to 1 decimal place.
C
10 cm.
Answer:
59.6°
Step-by-step explanation:
find the perimeter pls i need help
Answer: 70 in.
Step-by-step explanation:
So we know that the perimeter of a rectangle =2(Length*Breadth)
Given =
Area of the rectangle = 35 [tex]in.^{2}[/tex]
Length = 7 in.
Area of a rectangle = Length*Breadth
35 = 7*Breadth
[tex]\frac{35}{7}[/tex] = Breadth
5 = Breadth
Now we can find out the perimeter of the rectangle =
= 2(Length*Breadth)
= 2(7*5)
= 2*35
= 70 in.
if your heart beats 700 times in 10 minutes how many times in 2 minutes
Answer:
your heart beats 140 times in two mintutes or 70 times per minute
Step-by-step explanation:
to find how many beats per minute :
700/10= 70
and then to find for two minutes :
70x2= 140
Hope this helped
Rebecca keeps all of her line drawings in portfolio
folders. She was recently asked to show the
drawings at an upcoming exhibit. She notices as
she sorts through the drawings that, in each folder,
4 out of 9 drawings are human portraits.
If Rebecca has sixty-three line drawings in one of
her portfolio folders, how many of them are human
portraits?
Answer:
28 human portraits
Step-by-step explanation:
If 9x7=63,
Then you would multiply the 4 human portraits by 7 which gets you 28 human portraits.
A cash discount of 8% is allowed on an item which costs £45. How much money is saved if a customer decides to pay in cash? How much more can he save if the discount is 9%?
well, if she decides to pay in cash, the savings is 8%!!!! yeah!!!, well hell how much is that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 45}}{\left( \cfrac{8}{100} \right)45}\implies \text{\LARGE \pounds 3.6}[/tex]
what if 9%? well, how much is 9%?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{9\% of 45}}{\left( \cfrac{9}{100} \right)45}\implies 4.05~\hfill \underset{\textit{more in savings}}{\stackrel{4.05~~ - ~~3.6}{\text{\LARGE \pounds 0.45}}}[/tex]
please answer question with answer
Answer:
48[tex]cm^{2}[/tex]
Step-by-step explanation:
1. We need 2 integers (full number) when added gives us 7
this is 4 and 3
2. so the width of the rectangle is 3cm and the length is 4cm
3. to find one area of a rectangle we do
4cmx3cm= 12[tex]cm^{2}[/tex]
4. There is 4 rectangles, so we do
4x12[tex]cm^{2}[/tex]= 48[tex]cm^{2}[/tex]
5. so the total area of the pattern is
= 48[tex]cm^{2}[/tex]
12y3 ― 4y3 = _____ help plez
Exponents and power - [tex]12y^3 - 4y^3 = 8y^3[/tex]
What are exponents and power?
Exponents and powers are two techniques for simplification of extremely big or extremely small numbers. For instance, we can write 3 x 3 x 3 x 3 as [tex]3^{4}[/tex], where 4 is the exponent and 3 is the base, to demonstrate 3 x 3 x 3 x 3 in a straightforward manner. There is a claim of power throughout the entire sentence [tex]3^{4}[/tex].
How do you perform exponentiation operations?
Rule 1: All operations enclosed in parenthesis must be simplified.
Rule 2 states that all exponents should be simplified, starting from the left.
Rule 3: When multiplying and dividing, always go from left to right.
Rule 4: Always add and subtract by moving from left to right.
[tex]8y^{3}[/tex] is the correct answer to the given equation.
[tex]12y^{3} - 4z^{3}\\ = (12-4)y^{3}\\= (8)y^{3}\\ =8y^{3}[/tex]
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What is the range of the following function:
A.) –1 ≤ y ≤ 1
B.) {–1, 1}
C.) y is all numbers.
D.) y > –1
Answer:
A is the correct answer.
suppose you walk at the of 210 ft/min. you need to walm 10,000 ft. how many more minutes will it take you to finish if you have already walked 550 ft.
It will take you 45 more minutes to finish walking the remaining distance.
If you have already walked 550 ft, subtracting it to the total distance you need to walk, then the remaining distance will be:
10,000 ft - 550 ft = 9450 ft
Rate is the relationship between two quantities of different units. Rate of speed is the amount of distance over total time.
If you walk at the rate of 210 ft/min, then the time it will take you to finish the remaining distance will be:
rate = distance/time
time = distance/rate
time = 9450 ft/(210 ft/min)
time = 45 mins
Hence, it will take you 45 more minutes to finish the walk.
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The quotient of a number y and 3, less 2 is between –7 and 4.
A statement is 2 less than the quotient of a number y and 3. The algebraic expression is (y/3)-2.
Given that,
A statement is 2 less than the quotient of a number y and 3.
According to question,
An algebraic expression can be written by use of 2 less than the quotient of a number y and 3.
To evaluate an algebraic expression is to determine its value when a certain number is used in lieu of the variable. In order to evaluate an expression, we first replace the variable with the supplied number, then we streamline the expression using the order of operations.
Here, expression is (y÷3)-2=(y/3)-2.
If we substitute the values 0,1,2,3,4...
We get the values between -7 and 4.
Therefore, the algebraic expression for the statement 2 less than the quotient of a number y and 3 is written as (y/3)-2.
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A triangle has vertices at A (-2, -2), B (-1, 1), and C (3, 2). Which of the following transformations produces an image with vertices A' (2, -2), B' (1, 1), and C' (-3, 2)?
O (x, y) -> (x, - y)
O (x, y) -› (-y, x)
O(x,y) → (-x,y)
O (x, y) -> (y, -x)
Answer:
[tex](x, y) \rightarrow (-x, y)[/tex]
(Option 3)
Step-by-step explanation:
Let's take into account ΔABC.
A(-2, -2) B(-1, 1) C(3, 2)
This process is entirely trial and error. Try out the different transformations and see which one results the image from the preimage.
In this case, our transformation is (-x, y). Let's put this into trial and error:
[tex]A(-2, -2) \rightarrow A'(2, -2)\\B(-1, 1) \rightarrow B'(1, 1)\\C(3, 2) \rightarrow C'(-3, 2)[/tex]
Simply, the values we got for the image is the same as provided in the question. So we know that option 3 is the right answer.
Answer:
Mackenzie the answer is the 3rd option:)
Step-by-step explanation:
Write the following number in standard decimal form. four and eight hundredths
Answer:
4.08.
Step-by-step explanation:
8/100
= 0.08
4x12=6 x n guys please help me on this im in 4th grade and dont know it
Answer:
4x12=6x
48=6x
x=48/6
x=8
find the f(x)=3x-2 domain on a graph
The domain of the f(x)=3x-2 form a graph is -∞ < x<∞. See the attached graph. The interval notation is given as (-∞, ∞)
What is a domain?It is to be noted that the domain of a function is the set of input or argument values for which the function is real and defined. Note from the graph that the function has no undefined points nor domain constraints. Hence, the domina is expressed as the notation:
-∞ < x < ∞.
If one were to solve for x,
Then
y = 3x -2
=
3x -2 = y [Flipping the eqation]
3x -2 + 2 = y + 2 {Added two to both sides]
Hence,
3x = y +2
Divide both sides by 3 to get:
3x/3 = (y+2)/3
x = [1/3y] + [2/3]
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Find the quotient and remainder - Enter your answers as a whole
number followed by the letter R (for remainder) and then the
remainder.
13) 4,297
Explanation:
The long division is shown below.
You can also use your calculator to find that 4297/13 = 330.538 approximately which rounds down to 330. This is the quotient.
The remainder is 4297-330*13 = 7
You harvest 50 cherry tomatoes from your garden. you randomly inspect 15 tomatoes and find that 3 have bad spots on them. what is the experimental probability that a tomato has a bad spot?
Answer: 1 out of 5
Step-by-step explanation: 15 divided by 3 is 5. Which also means out of the 50 cherry tomatoes, 10 of them have bad spots.