Kelly's estimated monthly payroll tax is $475.94, which is found by adding together all of her weekly taxes and then multiplying by the average number of weeks in a month.
Explanation:To estimate the amount of payroll tax Kelly pays each month, we first need to find out how much she pays weekly and then multiply it by the number of weeks in a month on average.
Firstly, we add together all of the weekly taxes she pays, which includes federal income tax ($68.45), state income tax ($22.81), and other taxes ($18.75). The sum equals $110.01.
Then, to convert this weekly tax to a monthly estimation, we multiply by an average of 4.33 weeks in a month (since not every month is precisely 4 weeks). Therefore, $110.01 * 4.33 is approximately $475.94.
Therefore, the best estimation for the monthly payroll tax that Kelly pays is $475.94.
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what is the quotient of 10 and x as an algebraic expression
Answer:
I believe the answer is 10/x.
Step-by-step explanation:
A quotient is a result obtained by dividing one quantity by another and sence we don't know what x is it will have to just be an algebraic equation like the question says.
Mark brainliest if you can thanks!
what is 4x plus 1.3=13.3
it is 3
4 time 3 plus 1.3 equals 13.3
A jar contains 5 blue marbles, 6 yellow marbles, and 4 green marbles. What is the probablity of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble.
First, you need to choose a yellow marble. That is 6/15.
Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.
So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.
Final answer:
The probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble can be found by multiplying the probabilities of choosing a yellow marble and a blue marble from the jar.
Explanation:
To find the probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble, we first need to find the total number of marbles and the number of favorable outcomes.
There are 5 blue marbles, 6 yellow marbles, and 4 green marbles in the jar, for a total of 15 marbles.
When we choose a yellow marble, there are 6 yellow marbles and 14 remaining marbles. When we choose a blue marble from the remaining marbles, there are 5 blue marbles and 13 remaining marbles.
So, the probability of choosing a yellow marble and then a blue marble is:
(6/15) * (5/14) = 1/7 or approximately 0.14
What is the total cost of producing 50 engines with the equation been Y= 0.25 X +2
Simplifying
y = 0.25x + 2
Reorder the terms:
y = 2 + 0.25x
Solving
y = 2 + 0.25x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 2 + 0.25x
Sixteen more than a number is 9. What is the number?
Answer:
-7
Step-by-step explanation:
Its really easy, count backwards 16 from 9 and go into negatives.
Here is the answer counting backwards: 9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6,-7
Answer: -7
Step-by-step explanation:
If you write out the expression it looks like this, x+16=9. All you have to do is solve for x, which would make the answer -7 because 16 more than -7 is 9.
Mark brainliest please!
Can someone pls help me out
Answer:
i think its .b. sorry if im wrong
Step-by-step explanation:
Answer:
A) 5x -4y =1
B) 4x -2y = 8
Using Cramer's Rule of detrminants
a = 5 b = -4 e=1
c = 4 d = -2 f = 8
denominator = 5 * -2 -(4 *-4) = 6
x = 1 * -2 [-(8 *-4)] / denom = 30 / 6 = 5
y = 5 * 8 -(4 * 1) / denom = 36 / 6 = 6
Step-by-step explanation:
Jimmy is trying to dive down and touch the bottom of the pool. On his first try, he makes it 1/3 of the way to the bottom.
on his second try, he makes it 3/5 of the way to the bottom.
Jimmy's second dive was deeper than his first dive by what fraction of the pool?
Answer:
4 feet or 4/15
Step-by-step explanation:
1. So first you have to multiply the top and bottom number of each fraction by the denominator of the opposite fraction to have the same denominator:
1/3 X 5/5 = 5/15
3/5 X 3/3 = 9/15
2. Then you compare the two fractions and subtract the smaller fraction from the bigger:
9/15 - 5/15 = 4/15
So Jimmy dived 4 feet deeper the second time
Answer:
The answer is 4/15 in fraction and 4 feet in whole number
Step-by-step explanation:
If a recipe called for 16 ounces of flour. How many cups would you use
Answer:
Step-by-step explanation:
A rectangle has vertices at these coordinates. (−2, −3), (−2, −5),(4, −3) What are the coordinates of the fourth vertex of the rectangle
the solution set of this inequality?
11q+5≤49
Subtract 5 from both sides.
49 - 5 = 44
11q ≤ 44
Divide both sides by 11.
44/11 = 4
q ≤ 4
The answer is q ≤ 4
Step-by-step explanation:11q+5 ≤ 49
Subtracting 5 from both sides
11q ≤ 49 - 5
11q ≤ 44
Dividing both sides by 11
q ≤ 4
Which axis shows the dependent variable ?
Answer:
The y-axis is dependent on the variable
Step-by-step explanation:
Just remember the acronym DRY MIX
Depenedent-responding-y axis
Manipulated-independent-x axis
HOPE THIS HELPS!!!!
Do you know how to do this?
6.45$ for 3 divide 15.05
In one day, Peter cleaned 17.5 rooms in 8.75 hours while working for a house cleaning business. Approximately how many rooms did he clean per hour?
2 rooms
5 rooms
8 rooms
9 rooms
The answer is 2 rooms because you do 17.5 divided by 8.75 and you get 2
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Number of rooms = 17.5
Time taken to clean = 8.75 hours
We need to find the number of rooms he clean per hour.
So, the number of rooms per hour is given by
[tex]\dfrac{17.5}{8.75}\\\\=2[/tex]
Hence, there are 2 rooms that he clean per hour.
Therefore, First option is correct.
A bird starts at 20 m and changes 16 m
20 + -4=16, so it is 4
Answer:
36 meters.
Step-by-step explanation:
{Bird's final elevation}= 20m+16m
{Bird's final elevation}=36 m}
What is the domain and range of the graph?
Answer:
Domain= how many boxes there are from each circle to the other, and the range is basically the height. In this case, Domain= 8, Range=2
Y is directly proportional to x, and y=10 when x=15. Write a direct proportion equation that relates x and y
y=kx
10=k15
rearrange the eqn, make k as a subject
k=10/15
k=2/3
Therefore, the answers
y=2/3x
The direct proportion equation that relates x and y is y = 2x/3.
What is direct proportion?When two quantities are directly proportional it means that if one quantity goes up by a certain percentage, the other quantity goes up by the same percentage as well.
Given that, y is directly proportional to x, when y = 10 when x = 15,
That mean,
y ∝ x
We know the rule of directly proportion,
y = kx
Where k is the proportionality constant,
To find the value of k in the given case, put, x = 15 and y = 10
10 = 15k
k = 2/3
Therefore, we can write,
y = 2/3 x
Hence, the direct proportion equation that relates x and y is y = 2x/3.
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Is 15 over 3 equals y over 7 a true proportion?
Answer:
The proportion is true.
Step-by-step explanation:
We are given the following proportion and we are to determine whether it is a true proportion or not:
[tex] \frac { 15 } { 3 } = \frac { y } { 7 } [/tex]
Finding the value of y:
[tex]y = \frac{15}{3} \times 7[/tex]
[tex]y=35[/tex]
So now we have [tex] \frac { 15 } { 3 } = \frac { 35 } { 7 } [/tex]
Checking if it is a true proportion:
[tex] \frac { 15 / 3 } { 3 / 3 } = \frac { 5 } { 1 } [/tex]
[tex] \frac { 35 / 7 } { 7 / 7 } = \frac { 5 } { 1 } [/tex]
Since the simplified fractions are equivalent, therefore the proportion is true.
The given expression, 15/3 = y/7, is a true proportion. Solving for y, we find y = 35.
The given expression, 15/3 = y/7, is a proportion. In a proportion, the product of the means (15 and 7) is equal to the product of the extremes (3 and y). To check if the given proportion is true, we can cross-multiply and check if the products are equal.
Cross-multiplying, we have 15 * 7 = 3 * y. This simplifies to 105 = 3y. Solving for y, we divide both sides of the equation by 3, obtaining y = 35.
Therefore, the proportion is true, and y = 35.
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One of the hiking trails at a state park is 14/3 miles long. Which mixed number shows the length of the hiking trail? A- 4 2/3 miles B- 4 1/3 miles C- 3 2/3 miles D- 3 1/3 miles
Answer:
A- 4 2/3 miles
Step-by-step explanation:
We are given that one of the hiking trails at a state park is [tex] \frac { 14 } { 3 } [/tex] miles long.
We are to determine whether which of the given answer options shows the length of the hiking trail in mixed number.
Basically, we need to divide 14 by 3 to get: [tex] 4 \frac { 2 } { 3 } [/tex]
So the correct answer option is A. [tex] 4 \frac { 2 } { 3 } [/tex].
Answer:
A- 4 2/3 miles
Step-by-step explanation:
To find the mixed fraction, we divide the numerator with the denominator to get a whole number and a remainder. the remainder becomes the numerator of the proper fraction included in the improper fraction.
14÷3=4 remainder 3.
Therefore our fraction becomes,4 2/3 miles.
Find the length of the missing side of the right triangle 5yd 13yd
13^2-5^2=144 find the square root of that which is 12
What is the percentage chance of a solution 150 g active ingredient in a total of 1000 mL of solution
The percentage chance of a solution, or essentially its mass/volume percent concentration, with 150 g active ingredient in a total of 1000 mL of solution is 15%.
Explanation:The student is asking how to calculate the mass/volume percent concentration of a solution with a given amount of active ingredient and total solution volume. To find the percentage concentration, we use the mass of the active ingredient and the total volume of the solution. In this case, it is a 150 g active ingredient in 1000 mL of solution, assumming the solution's density is 1.0 g/mL which is typical for dilute aqueous solutions.
In order to calculate the mass/volume percent (m/v %), we use the formula:
% m/v = (Mass of solute in grams × 100) ÷ Volume of solution in mL
Plugging in the values we get:
% m/v = (150 g × 100) ÷ 1000 mL = 15%
Therefore, the solution has a mass/volume percent concentration of 15%.
Final answer:
The percentage chance of the solution with 150g of active ingredient in a total of 1000mL is 15%.
Explanation:
To calculate the percentage chance of a solution containing 150 g active ingredient in a total of 1000 mL of solution, we use the concept of mass/volume percentage. This concept is often used in chemistry to express the concentration of a solute in a solution.
Assuming the density of the solution is 1.0 g/mL, which is common for dilute aqueous solutions, the total mass of the solution will also be 1000 g.
The mass/volume percentage is hence calculated as:
% m/v = (mass of solute in grams) / (volume of solution in milliliters) x 100%
In this case, it's:
% m/v = (150 g)/(1000 mL) x 100% = 15%
So, the solution has a 15% mass/volume percentage of active ingredient.
Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. A. .583 B. .600 C. 1.700 D. 1.714
Answer:
= 0.583
Step-by-step explanation:
Changing 7/12 as a decimal
we could use long method or convert to percentage
such that;
7/12 × 100 = 700/12
=58.333%
This is equivalent to; 58.333/100
= 0.58333 ; to the nearest thousandth
= 0.583
Answer:
The correct answer is option A. 0.583
Step-by-step explanation:
It is given a fraction 7/12. This fraction is a proper fraction.
proper fraction :- Numerator is less than denominator
We have to convert this fraction into decimal number.
we can convert all proper fractions into decimal.
Convert 7/12 into decimal
7/12 = 0.58333333...
It is a non terminating rec-curing decimal number.
Therefore we can write, 7/12 = 0.583
The correct answer is option A. 0.583
The two figures are similar. a). Write the similarity statement. b). Is the image of the dilation a reduction or an enlargement of the original figure? Explain. c) what is the scale factor? Explain
Answer:
Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]
Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure.(the scale factor is greater than 1)
Part c) The scale factor is [tex]3[/tex]
Step-by-step explanation:
Part a) Write the similarity statement
we know that
If two figures are similar, then the ratio of its corresponding sides is equal so
[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]
substitute the values
[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45'}[/tex]
[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3'}[/tex] ----> is true
therefore
the figures are similar
Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure. (the scale factor is greater than 1)
Part c) we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z------> the scale factor
x-----> corresponding side of the image
y------> corresponding side of the original figure
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=A'B'=27\ units[/tex]
[tex]y=AB=9\ units[/tex]
substitute
[tex]z=\frac{27}{9}=3[/tex]
The scale factor is greater than 1
therefore
Is an enlargement
what's the volume of a cylinder if the height is 5mm and diameter is 24 mm
Answer:
V = 2,260.8
Step-by-step explanation:
To find the volume of a cylinder, you must use the equation: V = pi*r^2*h.
V = pi*12^2*5
V = pi*144*5
V = pi*720
V = 2,260.8
The graphs below have the same shape. What is the equation of the red graph?
The answer is:
b. [tex]g(x)=x^{2} +3[/tex]
Why?To find what's the equation of the red graph, first, we need to find a function that intercepts the y-axis at 3 and its vertex is located at (0,3)
We must remember that the constant value in a quadratic equation (c) will tell us where the function intercepts the y-axis, so, we are looking for an equation which has a constant value equal to 3, it discards the options a, c and d, so the correct option would be the option b.
Option b function:
[tex]g(x)=x^{2} +3[/tex]
Where,
[tex]a=1\\b=0\\c=3[/tex]
Let's check if the option b is the correct option:
First, let's find the axis intercepts:
Y-axis intercept
[tex]f(x)=x^{2}+3\\f(0)=0^{2}+3\\y=3[/tex]
X-axis intercept
[tex]0=x^{2}+3\\x=\sqrt{-3}[/tex]
There is no x-axis intercepts since the square roots of negative numbers does not exists in the real numbers.
Finding the vertex coordinates:
The x coordinate of the vertex can be found using the following equation:
[tex]x=-\frac{b}{2a}=-\frac{0}{2*1}=0[/tex]
The x coordinate of the vertex is located at x=0, so to find the y-coordinate we must substitute the x value into the parabola equation, so
[tex]y=x^{2}+3=0^{2}+3=3[/tex]
So, the y coordinate of the vertex is located at y=3
Therefore, the vertex of the function is (0,3)
Hence, the calculated values of the option b match with the given graph.
The correct option is: b. [tex]g(x)=x^{2} +3[/tex]
Have a nice day!
What is the equation of the following graph in vertex form?
The right answer is y=(x+3)^2 -1
What are the two equations that need to be solved to find the solutions for the absolute value equation |3x+5|=x-1
the 2 equations that need to be solved are [3x+5] and x-1. If you need the answer to what x is you'd solve it by evening out the problems. so first add one to both so you'd have 3x+6=x then you'd take the 3x and subtract it from both sides making it 6=-2x. Then divide 6 by negative 2 making it -3=x.
Answer:i think the answer was 3=x but i'm not sure i really do think it is
Step-by-step explanation:
Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to original) of the perimeters? the areas?
The ratio of the perimeters is ___.
The ratio of the areas is ___.
Answer:
Part a) The ratio of the perimeters is [tex]3[/tex]
Part b) The ratio of the areas is [tex]9[/tex]
Step-by-step explanation:
Part A) What is the value of the ratio (new to original) of the perimeters?
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the new triangle
y-----> the perimeter of the original triangle
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=3[/tex]
substitute
[tex]\frac{x}{y}=3[/tex]
Part B) What is the value of the ratio (new to original) of the areas?
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the new triangle
y-----> the area of the original triangle
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=3[/tex]
substitute
[tex]\frac{x}{y}=3^{2}[/tex]
[tex]\frac{x}{y}=9}[/tex]
Answer:
Part a) The ratio of the perimeters is 3
Part b) The ratio of the areas is 9
A triangular window pane has a base of 30 inches and a height of 24 inches what is the area of the window pane
The answer is 360in,hope this help!
What is the sum of the series?
Answer:
44
Step-by-step explanation:
substitute k = 1, 2, 3, 4 into 2k² - 4 and sum the terms
k = 1 : 2(1)² - 4 = 2 - 4 = - 2
k = 2 : 2(2)² - 4 = 8 - 4 = 4
k = 3 : 2(3)² - 4 = 18 - 4 = 14
k = 4 : 2(4)² - 4 = 32 - 4 = 28
sum = - 2 + 4 + 14 + 28 = 44
Heya!
--------------------
Things to know before we solve:
The "4" at the top means that the the sequence only goes to the 4th term.
k = 1 represents that the sequence starts with the 1st term.
(2k² - 4) represents the rule of the sequence, we can substitute 1, 2, 3, and 4 to solve for the terms of the sequence.
--------------------
Solving for each term:
1st term:
2(1)² - 4
2(1) - 4
2 - 4
-2
2nd term:
2(2)² - 4
2(4) - 4
8 - 4
4
3rd term:
2(3)² - 4
2(9) - 4
18 - 4
14
4th term:
2(4)² - 4
2(16) - 4
32 - 4
28
--------------------
Simplifying:
Write these terms in expanded form:
(-2) + 4 + 14 + 28
Find the sum of the series:
(-2) + 4 + 14 + 28 = 44
--------------------
Answer:
The sum of the series is 44
--------------------
Best of Luck!
Joelle walked 2/5 of the way from her house to school. Franco also walked 2/5 of the way from his house to school. Joelle and Franco do not live in the same house. Who had walked father
Answer:
I think they both have the same amount walked, therefore they are both considered as they have walked the same distance
Step-by-step explanation:
Both walked the same distance.
Joelle walked 2/5 of the way from her house to school
Franco also walked 2/5 of the way from his house to school.
What is fraction?
Fraction is defined as the number of composition constitute the Whole.
The question is incomplete so we assume that Joelle and Franco are the neighbors. and school is equally distance from the both the houses
so if Joelle walked for 2/5 and Franco also walked for 2/5
implies both have walked the same distance.
Thus, Both walked the same distance.
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