The amount earned is $88,709.68
What is a social security tax?It is a payroll tax that is paid on wages earned by employees.
We have,
We will assume the current Social Security tax rate for employees as 6.2%.
Now,
The amount earned.
= 5,500 / 6.2%
= 5500 / 0.062
= $88,709.68
Thus,
The amount earned is $88,709.68
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Divide 12x3 − 16x2 − 4x by −4x.
−3x2 + 4x − 1
−3x2 + 4x + 1
−3x3 − 4x2 − x
−3x2 + 4x
Answer:
-3x2+4x+1
Step-by-step explanation:
assuming the numbers after x are squares, cubes etc. 12x3 -16x2 -4x all need to be divided by -4x. 12x3/-4x(12/4 and to divided x cubed by x, -1 to the exponent) =-3x2. -16x2/-4x(-16/-4 and to divide x squared by x, -1 to the exponent)=4x. -4x/-4x(anything divided by itself is 1) therefore you have -3x2+4x+1
Answer:
[tex]-3x^2+4x+1[/tex]
Step-by-step explanation:
[tex]=\frac{4x\left(3x^2-4x-1\right)}{-4x}[/tex]
[tex]=\frac{x\left(3x^2-4x-1\right)}{-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-1}=-a[/tex]
[tex]=-\left(3x^2-4x-1\right)[/tex]
[tex]Simplify[/tex]
[tex]=-\left(3x^2-4x-1\right)[/tex]
hope this helps :P
why does the equation y = 3x + 5 not represent a proportional relationship?
Answer:
Proportional relationship between two quantities x and y means that the quotient y/x stays constant, i.e. that there is a constant c such that y=cx. In our case we have that y=3x+5 which means that x and y are NOT proportional.
Answer:
Check the explanation provided
Step-by-step explanation:
This equation does not represent a proportional relationship because it's graph does not pass through the origin (i.e. 0,0)
[tex]y = mx + c[/tex]
where m = gradient OR slope
= 3
c = y-intercept
= 5
For the equation to have a proportional relationship, the value of c MUST BE '0’
If tan A=7/12, what is cos A?
Mr. Newton wants to buy a shirt in Leavenworth Kansas that cost $20.The sales tax in Leavenworth is 8%. What would be the total price of the shirt after adding the sales tax?
First find the amount the price increased.
amount of change
= (percent change) x (starting value)
= (8%) x ($20)
= (0.08) x ($20)
= $1.60
(Remember to convert the percent to a decimal before multiplying.)
Now add the tax onto the price:
$20 + $1.60 = $21.60
The price, including sales tax, is $21.60.
6. Sofia rearranged the equation 3x+7+2x-8=21
into 3x+2x+7-8=21 in order to combine like
terms more easily. Which of the following properties
did she use to make this manipulation?
(1) The commutative property of addition
(2) The additive property of equality
(3) The distributive property
(4) The associative property of multiplication
Answer:
1, The Commutative Property of Addition
Step-by-step explanation:
you’re only changing the order
I REALLY NEED HELP
How do you know when anexpression is in its simplest form?
An expression is in its simplest form when it can no longer be simplified or reduced any further.
What happens when an expression is in its simplest form ?When an expression is in its simplest form , it means that it has been reduced to its most basic and concise form, with no unnecessary terms or factors.
This makes it easier to evaluate and work with the expression . In some cases , the simplest form of an expression may also reveal certain properties or relationships that were not immediately apparent in its original form.
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Elwyn's bill for dinner at a restaurant was $75. He wants to leave a 20% tip. How much should he leave for the tip? What is his total bill for dinner and tip?
The system of linear equations 3x + 2y = −4 and y equals one half times x plus 1 is graphed on a coordinate plane. Approximate the solution to the system.
coordinate plane with one line that passes through the points 0 comma negative 2 and negative 2 comma 1 and another line that passes through the points 0 comma 1 and 2 comma 2
(−1.5, 0.25)
(−0.5, 0.75)
(1.5, 0.25)
(−2.5, 1.5)
Answer:
To approximate the solution to the system of equations, we need to find the point where the two lines intersect. From the second equation, we know that y = (1/2)x + 1. Substituting this expression for y into the first equation gives:
3x + 2[(1/2)x + 1] = -4
Simplifying and solving for x, we get:
3x + x + 2 = -4
4x = -6
x = -1.5
Substituting this value of x back into the second equation gives:
y = (1/2)(-1.5) + 1 = 0.25
Therefore, the solution to the system of equations is approximately (-1.5, 0.25).
So the answer is (−1.5, 0.25).
If two angles of a triangles are 50degree and 65 degree, then the third angle is?
Answer: F=180-(50+65) 65
Step-by-step explanation: the angles add the up 180°
what are the factor pairs needed to answer 3z^2 + 26z - 9
Answer:
daddy
Step-by-step explanation:
hey daddy
Answer:
Therefore, the factor pairs needed to answer 3z^2 + 26z - 9 are (-3, 9) and (3z - 1, z + 9).
Step-by-step explanation:
To factor the quadratic expression 3z^2 + 26z - 9, we need to find two numbers that multiply to give us 3 times -9 = -27, and add up to 26.
One way to do this is to list all the factor pairs of -27 and look for the pair that has a sum of 26:
-27 and 1
-9 and 3
-3 and 9
-1 and 27
We can see that the pair that adds up to 26 is -3 and 9. So we can use these numbers to write the quadratic expression as a product of two binomials:
3z^2 + 26z - 9 = (3z - 1)(z + 9)
Therefore, the factor pairs needed to answer 3z^2 + 26z - 9 are (-3, 9) and (3z - 1, z + 9).
I need help ASAP pls!!!!
I need the rest of the steps!!
Answer:
how can I help you when I don't know the steps
The scores from a 20 point algebra quiz are shown.
18, 10, 17, 19, 13, 9, 7, 12, 20, 15
The percentile of a test score can be defined as the percent of test scores less than or equal to that test score
Use this definition to find the percentile of the test score 12
The test score 12 is at the ___th percentile
Answer:
Percentile = 90
Therefore, the test score 12 is at the 90th percentile.
Step-by-step explanation:
Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100
Percentile = (9) / (10) * 100
Answer:
Percentile = 90Therefore, the test score 12 is at the 90th percentile
Percentile = (Number of scores less than or equal to score) / (Total number of scores) * 100Percentile = (9) / (10) * 100Step-by-step explanation:
What is happening after time (te)? there are three correct statements. [reactants] < [products] [a] + [b] = [cd] [products] remain constant. [a] + [b] remain constant. [reactants] > [products].
None of the statements of Chemistry reactions are necessarily true in all cases.
The reason is explained below:-
[reactants] < [products]: This statement is not necessarily true, as the amount of reactants and products in a reaction can vary. In some cases, the number of reactants is indeed less than the number of products, but in others, it may be equal or greater.[a] + [b] = [cd] [products] remain constant: The sum of the concentrations of reactants [a] and [b] may remain constant during a reaction, but the individual concentrations can change. The concentration of the products, represented by [cd], may also remain constant during a reaction, but the individual concentrations of the products can also change. The statement [products] remain constant is therefore correct, [a] + [b] remain constant: This statement is also not always true, as the amounts of reactants can change as the reaction proceeds[reactants] > [products]: This statement is not necessarily true, as the amount of reactants and products in a reaction can vary. In some cases, the number of reactants is indeed greater than the number of products, but in others, it may be equal or less.To know more such Chemistry reaction here:
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____ The given question is not correct, the correct question is given below:
What is happening after Time (T e )? There are three correct statements.
[reactants] < [products] [A] + [B] = [CD][Products] remain constant.[A] + [B] remain constant.[reactants] > [products]If you spin the spinner 75 times, how many 2’s? (Note: Spinner has 5 spots ranging from 1-5)
If you spin the spinner 75 times, the expected number of 2's is 15.
About probabilitySince the spinner has 5 spots ranging from 1-5, the probability of getting a 2 on any given spin is 1/5.
Therefore, if you spin the spinner 75 times, the expected number of 2's is: (1/5) * 75 = 15
So, if you spin the spinner 75 times, you can expect to get 15 2's.
Probability itself has a number from 0 to 1.
The probability value is 0 (zero) for an event that is impossible or unlikely to occur, for example, cows laying eggs.
While the probability value of 1 (one) is an event that will definitely occur, such as the change between day and night.
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Find the difference. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.
1/2 - 1/4
Answer:
1/4
Step-by-step explanation:
You cannot subtract (or add) a fraction with different denominators so first, you need to find a common denominator. You can do this by finding the least common multiple (LCM).
Here the denominators are 2 and 4 so the LCM is 4.
After you find the LCM you need to multiply the denominator by a number that equals the LCM. Then multiply the numerator by that same number.
So convert both 1/2 and 1/4
1/4 x 1/1 = 1/4
1/2 x 2/2 = 2/4
Now we can just subtract the numerator from each other.
2/4 - 1/4 = 1/4
We cannot simplify the difference any more so keep it the same.
Can someone help please this so due tonight
The fraction of crayons that are blue triangle is 1/5.
The ratio of blue rounds to non-blue crayons is
The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs
What is Fraction?A fraction represents a part of a whole.
1. Let's say Alexa had a total of 5x crayons in the bag.
the number of blue crayons in the bag is 2x,
There is one triangle for every two round crayons,
(1/2) × 2x = x (By condition)
So, the fraction of crayons that are blue triangle is x / 5x = 1/5.
The number of blue round crayons is 2x.
The number of non-blue crayons is 5x - 2x = 3x,
The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.
2.
4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.
The fraction of rubber footballs that are brown is 2/3.
The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.
The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.
The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.
So there are 4 times as many rubber footballs as non-rubber footballs
Hence, the fraction of crayons that are blue triangle is 1/5.
The ratio of blue rounds to non-blue crayons is
The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs
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17. When Molly stands in the center of the pool, she is exactly 5.25 feet from the edge in any direction. Calculate the area of the pool.
Answer: Assuming that the pool is square it would be 110.25ft.
Step-by-step explanation: multiply 5.25 by 2, then multiply 10.5 by 10.5 and you get 110.25
For two adjacent angles x° and (x + 30)° that make up a 90° angle, what is x
In the given situation, the required value of x for the given pair of adjacent angles is 30°.
What are adjacent angles?When two angles have a similar vertex and side, they are referred to as neighboring angles.
The vertex of an angle is the point at which the rays that make up its sides come to an end.
When adjacent angles have the same vertex and side, they can be a complimentary angle or supplemental angle.
The definition of adjacent is next to or nearby.
Two next-door residences are an illustration of proximity.
Typically, we think of those who live on our street as neighbors.
So, we have:
x + x + 30 = 90
Now, solve for x as follows:
x + x + 30 = 90
2x + 30 = 90
2x = 90 - 30
2x = 60
x = 60/2
x = 30
Therefore, in the given situation, the required value of x for the given pair of adjacent angles is 30°.
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The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m.
The distance from the top left corner of the foundation to the bottom right corner is 27 meters.
The distance between two points in space can be calculated using the Pythagorean theorem. In this case, we want to find the distance from the top left corner of the foundation to the bottom right corner.
To do this, we will use the length and width of the foundation, which are 20 meters and 18 meters respectively.
The Pythagorean theorem states that in a right triangle, the square of the distance (c) between the two points is equal to the sum of the squares of the other two sides (a and b). Mathematically, this can be represented as
=> c² = a² + b².
In our case, the two sides are the length (20m) and width (18m) of the foundation. To find the distance, we will first find the square of c by adding the squares of a and b. So,
=> c² = 20² + 18² = 400 + 324 = 724.
To find the distance, we will take the square root of c².
So,
c = √724 = 26.83
When we rounded to the nearest meter, c = 27m.
Complete Question:
The foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18m. To the nearest meter, what is the distance from top left corner of the foundation to the bottom right corner.
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Sanjeev has to buy enough wallpaper to cover a rectangular wall that has an area of
242 square feet. The wall is 11 feet tall. How wide is the wall?
What is the perimeter of a regular dodecagon with a side length of 5√6 inches?
A. 50√6 inches
B. 60√6 inches
C. 60√30 inches
D. 360√2 inches
E. 55√6 inches
The perimeter of a regular decagon with sides 5√6 is 50√6 ( option A)
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
The perimeter of a shape is obtained by adding all the sides together.
Therefore, if one side is 5√6 inches, a decagon which is of 10sides will have 5√6 inches at all it's sides because it is a regular polygon.
Therefore P= 5√6 × 10
P = 50√6 inches.
therefore the perimeter of the decagon is 50√6 inches
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Please Helppppp I dont understandddd
To find out how much black cord the design needs, we must find the perimeter of the figures. In this case, it would be: 107.42ft
How to find the perimeter of figures?To find the perimeter of four-sided figures, we just have to add the length of their sides as shown below:
16ft + 16ft + 10ft + 10ft = 52ft7ft + 7ft + 7ft + 7ft = 28ftTo find the area of the triangle we must add its sides, in this case it is a triangle that has all the sides equal so it would be like this:
2ft + 2ft + 2ft = 6ft
Finally, the perimeter of the circle is calculated by multiplying 2 * number pi * radius. So the operation would look like this:
2*3.14*1.5=9.42ft
Now all that remains is to add all the sides and we will know how much black cord we need
9.42ft + 24ft + 28ft + 52ft = 107.42ft
Additionally, the area of the figures is calculated as follows:
Rectangle:
16ft*10ft=160ftSquare:
7ft*7ft=49ftTriangle:
1.73ft * 2ft / 2 = 1.73ft1.73*4=6.92ftCircle:
3.14*1.5²=7.06ftTo find the area shown for each figure, simply subtract the area of the superimposed figure as shown below:
160ft - 49ft = 11ft49ft - 8ft - 6.92ft = 34.08ftFinally, to know how many yards of fabric we need for each figure, we must take into account that one square foot is equal to 0.11 square yards, so we will have to multiply these values as shown below:
160ft * 0.11 = 17.6 = 18 yards49ft * 0.11 = 5.39 = 6 yards6.92ft * 0.11 = 0.76 = 1 yard7.06ft * 0.11 = 0.77 = 1 yardLearn more about inches in: https://brainly.com/question/16311877
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Three positive integers are in a ratio of 3:4:7 and have a sum of 196. What is the smallest of the three integers?
A. 36
B. 56
D. 42
E. 39
The smallest of the three integers is, 42
Option D is true.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.
Given that;
Three positive integers are in a ratio of 3 : 4 : 7 and have a sum of 196.
Hence, All the integers are,
⇒ 3x, 4x , 7x
Here, The sum is 196.
Hence, We can formulate;
⇒ 3x + 4x + 7x = 196
⇒ 14x = 196
⇒ x = 14
Thus, The smallest integers is,
⇒ 3x = 3 × 14
= 42
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3
87. 8
98
-
8[?].
the question didn’t have enough letters for me to post so i’m using this to post it
Tasha is trying to solve 1 ⅙ - ⅚. She says it’s impossible because you only have ⅙, so you can’t take away ⅚. Explain how Tasha can solve this problem. Please help me
Tasha can make 1 1/6 an improper number making 1 1/6=7/6. Then she can subtract 7/6-5/6, which is 2/6. Simplified 1/3.
Now it's not impossible! ;D
volume of a square room is 256 cubic meter.
Area of 4 walls is 128 Sq.m
Find length and breath.
The length and breadth of the room is 4 meters
What is area of square?A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.
A square has it's sides equal
A = l²
The area of 2 walls = 128/2 = 64
Therefore the length of each sides = √64
= 4meters
The height of the room = Volume/ height
= 256/128 = 2
The breadth of the room will also be 4meters
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Which of the following are like terms in this expression?
12a−7+7a+12b
Answer: Hello! I'm Jk!....
7a and 12a
Step-by-step explanation:
Hope this really helps you, XoXoGoldenMaknae
find two consecutive numbers whose product is 272
Answer:
Below
Step-by-step explanation:
x = first number
x+1 = second number
x * (x+1) = 272
x^2 +x = 272
x^2 + x - 272 = 0 Use Quadratic Formula to find:
x= 16 x+1 = 17 OR x = -17 x+1 = -16
How would you make an equation of a linear function if it starts at 1127 and goes up 92 every hour
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Consider that on a coordinate plane-xy, the x-values increase from left to right, and y-values increase from bottom to up.
Given that the linear graph passes through (1,1).
It is given that the graph goes 3 units up for every 2 units right. This can also be understood as the graph goes 3 units down for every 2 units left.
From the point (1,1), the x-value corresponding to 2 units left is given by,
x=1-2
x= -1
Similarly, from the point (1,1), the y-value corresponding to 3 units down is given by,
y = 1 - 3
y= -2
So the point (-1,-2) must also lie on the same linear graph.
Therefore, option (b) is the correct choice.
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What is the answer it is so confusing
Answer:
the answer is 5
Step-by-step explanation:
³√125 or this can also be written as 125^⅓
it means cube root of 125
And the cube root of ³√125 is 5
then the cube of 5³ is 125