9. A pen costs $1.85. It costs $0.47 more than a marker. Jon bought 2 pens and a marker. How much change did he get from a ten-dollar bill? Cost of pen Cost of marker Cost of marker and 2pens Change from a 10 dollar bill
Answers
The given costs are : Cost of pen = $1.85Cost of marker = $0.47 less than a pen
Cost of marker = $1.85 - $0.47 = $1.38Cost of 2 pens and a marker= 2($1.85) + $1.38 = $3.72 + $1.38 = $5.10
If Jon gives a ten-dollar bill, then he gets a change of $10 - $5.10 = $4.90
Thus, Jon will get $4.90 change from a ten-dollar bill.
Pens are more harmful to the environment than pencils. Pens are always ready to write, whereas pencils need to be sharpened. A pencil becomes harder to use and shorter the more you sharpen it. Pencils cannot be used to write on skin. Ballpoint pens are one of the most common and well-known kinds of pens.
Ballpoint pens use an oil-based ink that dries more quickly than other types of ink. When you write, you'll notice less smudging as a result. Since the ink is thick, ballpoint pens utilize less ink as you compose, enduring longer than other pen types.
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Related Questions
A generic square slab used to make outdoor patios has an area of 144
square inches.
The owner of the house, Jacobie, wants to put a larger tile than the
standard size on his patio to change the look. The new tile he found is
a square with an area of 225 square inches.
What is the length of the side of the new size square slab?
How does this larger tile compare to the current tile used in the
patio?
Answers
x^2 = 225
Taking the square root of both sides, we can solve for x:
x = sqrt(225) = 15
Therefore, the length of the side of the larger square tile is 15 inches.
To compare the larger tile to the current tile used in the patio, we can calculate the length of the side of the current tile. We are given that the area of the current tile is 144 square inches, so we can set up another equation:
y^2 = 144
Taking the square root of both sides, we can solve for y:
y = sqrt(144) = 12
Therefore, the length of the side of the current tile is 12 inches.
Comparing the two tiles, we see that the larger tile has a side length of 15 inches, while the current tile has a side length of 12 inches. This means that the larger tile is bigger in size, and would cover more area than the current tile. However, it's important to note that Jacobie would need to ensure that the foundation of the patio is able to support the weight of the larger tile, and that the larger tile would fit properly within the layout of the patio.
im cant figure out how to do this one ((-3)^2)^-3
Answers
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
x + 6 = -6
please help me pls
Answers
explanation...
−
6
=
6
−
6
+
6
=
6
+
6
add both sides to the equation
and then simplify
A pole that is 3.1 m tall casts a shadow that is 1.68 m long. At the same time, a nearby building casts a shadow that is 48.25 m
long. How tall is the building? Round your answer to the nearest meter.
Answers
The building is 141 cm tall when a pole that is 3.1 m tall casts a shadow that is 1.68 m long.
What is ratio ?
ratio can be defined as the given value divided by the total value, called as the ratio.
Given,
A pole that is 3.1 m tall casts a shadow that is 1.68 m long.
At the same time, a nearby building casts a shadow that is 48.25 m long
to solve this, use proportions. The height of the pole corresponds to the height of the building; the shadows are corresponding:
3.1/ x = 1/45.5
x = 3.1* 45.5
x = 141.05
Hence, the building is 141 cm tall when a pole that is 3.1 m tall casts a shadow that is 1.68 m long.
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can someone help please
Answers
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
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–81, 108, –144, 192,. Which formula can be used to describe the sequence?.
Answers
The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)
The given sequence is -81, 108, -144, 192.
The formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.
This formula is a geometric sequence formula that can be used to describe the given sequence.
The formula represents the nth term of the sequence as a function of the position of the term in the sequence.
Here, n represents the position of the term in the sequence
.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).
The second term is 108, which corresponds to the second position in the sequence (n = 2).
The third term is -144, which corresponds to the third position in the sequence (n = 3).
The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).
Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)
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The cost of hiring a trailer for t hours is C= 5t+10
draw the graph of C against t
Answers
Answer:
See below
Step-by-step explanation:
Given that
C = 5t + 10We can simply take t as 1,2, 3 and so on and put it in the above equation. After finding out C, we can plot the points accordingly.
OR
We can simply use a graphing calculator.
See the attached file!
Emma doesn’t have $300 now, but she plans to get a job when she gets to college. she wants to find out how much it will cost her if she doesn’t pay off her credit card until after college. find how much she’ll owe in four years. these are the terms of her credit card:
it has a 15% yearly interest rate.
the interest is compounded monthly.
the card has $0 minimum payments for the first four years it is active.
Answers
If it has a 15% yearly interest rate and the interest is compounded monthly and the card has $0 minimum payments for the first four years it is active. Therefore, Emma will owe approximately $529.27 in four years.
To calculate how much Emma will owe in four years, we need to use the compound interest formula: A = P (1 + r/n)^(n*t)
where:
A = the amount of money at the end of the investment period
P = the principal amount (the initial amount of money borrowed)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period in years
In this case, the principal amount is $300, the annual interest rate is 15%, and the interest is compounded monthly (so n = 12). The time period is four years.
Plugging in the values, we get:
A = 300(1 + 0.15/12)^(12*4)
A ≈ $529.27
Therefore, Emma will owe approximately $529.27 in four years if she doesn't pay off her credit card until after college.
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I need some help……..
Answers
Answer:
3) vertical
4) neither
Step-by-step explanation:
3) they are formed by two intersecting lines, are opposite of each other and are congruent. therefore, they are vertical angles
4) adjacent angles share a common vertex and common side. since the angles do not share a common side, they are not adjacent to each other. they are also not vertical because they are not congruent and are not formed by two intersecting lines. therefore, they are neither angle type
Scatter plot, 8 grades help please!!!
Answers
Answer:
600 calories
Step-by-step explanation:
The problem asks us to use the given trend line to find how many calories are burned after 40 minutes. The trend line is the slope of the graph that is given, so all that we have to do is find 40 minutes on the x axis, and then find the point on the slope in the given graph that has an x value of 40, and this point ends up being (40, 600). This means that in 40 minutes, 600 calories are burned.
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
Answers
Answers: The page numbers are 11 and 12
==========================================================
Explanation:
Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.
Let,
x = first page, some positive whole numberx+1 = second page, follows immediately after page xAdding those two said pages will lead to 23
first + second = 23
(x) + (x+1) = 23
2x+1 = 23
2x = 23-1
2x = 22
x = 22/2
x = 11 is the first page
x+1 = 11+1 = 12 is the second page
Check: 11+12 = 23 which confirms the answers.
OT−→− bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3.
PLS HELP
Answers
Answer:
The answer is 64 degrees, haha I struggled on this question too.
Step-by-step explanation:
Answer:
I know the answer is 64 but does anyone have an explanation of how to do it? sorry it wouldnt let me comment on the other response.
Step-by-step explanation:
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answers
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
Answers
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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statistics the art and science of learning from data 4th edition
Answers
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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The Nelson family drank 1/4 of a gallon of orange juice on Saturday morning and 2/5 of a gallon of orange juice on Sunday morning. How much orange juice did they drink in all?
Answers
Answer: 13/20
Step-by-step explanation: First to find the first part, we need to find a common denominator. So we must ask ourselves, which number is a multiple that both 5 and 4 have in common? The answer then would be 20. So, it would look like this:
\(\frac{1}{4} = \frac{?}{20}\)
\(\frac{2}{5} = \frac{?}{20}\)
So to find what "?" equals for both fractions, we must use this formula:
Amount = Right denominator / Left denominator (1st part)
So, now we do 20 / 5 and 20 / 4
20 / 5 = 4
20 / 4 = 5
So, the 2nd part is taking the quotient from that and multiplying it by the left numerators. This would look like this:
5 * 1 = 5
4 * 2 = 8
So your "?" should look like this:
\(\frac{1}{4} = \frac{5}{20}\)
\(\frac{2}{5} = \frac{8}{20}\)
Then, you'd just add! So, 8 + 5 = 13 and 20 + 20 would stay that same ; 20. So your result is \(\frac{13}{20}\)
I hope this helped!
I NEED HELP ASAP!!!
Which of the following expressions represents “the difference between a number and eleven”?
11 – n
-11 n
n + 11
n – 11
All of the following represent the same concept except _____.
a number minus five
five more than a number
the sum of a number and five
a number increased by five
thank you!!
Answers
Answer/Step-by-step explanation:
1. Which of the following expressions represents “the difference between a number and eleven”?
Answer: n - 11
Explanation:
"11 - n": eleven minus a number
"-11 n": eleven times a number
"n + 11": the sum of a number plus eleven
2. All of the following represent the same concept except _____.
Answer: a number minus five
Explanation: The other answers represent a number + five
I hope this helps!
please help out
Find X
Answers
Answer:
x = 5
Step-by-step explanation:
STU = STA + STU
Substitute what we know
150 = 12x+ 18x
Combine like terms
150 = 30x
Divide each side by 30
150/30 = 30x/30
5 =x
Which statement shows 2, –4, –1, and 0 in order from least to greatest?
A. 2 < –4 < –1 < 0
B. –4 < 2 < 1 < 0
C. –4 < –1 < 0 < 2
D. 2 < 0 < –1 < –4
Answers
Answer:
C
Step-by-step explanation:
5x+8+3x+4=-40+4 plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
5
+
8
+
3
+
4
=
−
4
0
+
4
5x+8+3x+4=-40+4
5x+8+3x+4=−40+4
Solve
1
Add the numbers
5
+
8
+
3
+
4
=
−
4
0
+
4
5x+{\color{#c92786}{8}}+3x+{\color{#c92786}{4}}=-40+4
5x+8+3x+4=−40+4
5
+
1
2
+
3
=
−
4
0
+
4
5x+{\color{#c92786}{12}}+3x=-40+4
5x+12+3x=−40+4
2
Combine like terms
3
Add the numbers
4 more steps
Solution
=
−
6
x=-6
x=−6
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Are the lines on graph at 3 and -3 also part of the answer?
Answers
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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starting at one vertex of a cube, and moving randomly from vertex to adjacent vertices, what is the expected number of moves until you reach the vertex opposite from your starting point
Answers
The given question requires the determination of the expected number of moves until we reach the vertex opposite from our starting point by moving randomly from vertex to adjacent vertices.
Let E denote the expected number of moves. If we are starting at a vertex of the cube, then there are three vertices adjacent to it. Let E1 denote the expected number of moves needed to reach the vertex opposite the starting vertex, given that our first move is to an adjacent vertex. Let E2 denote the expected number of moves needed to reach the vertex opposite the starting vertex, given that our first move is not to an adjacent vertex. From the vertex, we have three possible choices for the first move. From the next vertex, we have two possible choices for the next move (since one of the adjacent vertices was our starting point). After that, we have only one move left to reach the opposite vertex, giving a total of 3 + 2 + 1 = 6 moves. Thus E1 = 6. From the vertex, we have three possible choices for the first move. From the next vertex, we cannot move back to the starting vertex, but there is still one adjacent vertex to avoid. Thus, we have two choices for the second move. After that, we have only one move left to reach the opposite vertex, giving a total of 3 + 2 + 1 = 6 moves. Thus, E2 = 6. Now we can find E using the law of total probability and the above information. We have E = (1/3)E1 + (2/3)E2E = (1/3)6 + (2/3)6E = 6
Therefore, the expected number of moves, until we reach the vertex opposite from our starting point, is 6.
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you solicit 100 pledges for a charitable organization. each pledge is equally likely to be $10, $50, or $100. you may use the fact that the standard deviation of the three amounts $10, $50 and $100 is $37. what is the expected value of the sum of the 100 pledges?
Answers
The expected value of the sum of the 100 pledges is 0.33 x ($10 + $50 + $100) x 100 = $5,000.
The expected value of the sum of the 100 pledges is $5,000. This can be calculated using the standard deviation of the three amounts $10, $50 and $100, which is $37. We can calculate the expected value of each pledge by multiplying the value of each pledge by its probability. For example, the expected value of a $10 pledge is 0.33 x $10 = $3.30. We can do the same for the $50 and $100 pledges. Thus, the expected value of the sum of the 100 pledges is 0.33 x ($10 + $50 + $100) x 100 = $5,000.
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state which theorem you can use to show that the quadrilateral is a parallelogram
Answers
Answer:
opposite angles are equal and parallel
5.Consider the piecewise function A graph the functionB list the interceptsC find f(1)D f(2)
Answers
We can use a graphing calculator to give us a visual representation of what the piecewise function looks like:
Listing InterceptsWe can find the x and y-intercepts by looking at the graph.
The x-intercepts are where the piecewise function crosses the x-axis.
• x = 0.5
The y-intercepts are where the piecewise function crosses the y-axis.
• y = -1
Finding f(1)
We can directly use the mathematical function to find f(1).
Since 1 is less than 2, we will have to use the top equation of the piecewise function:
\(\begin{gathered} f(1)=2(1)-1,1<2 \\ f(1)=2-1,1<2 \\ f(1)=1,1<2 \end{gathered}\)Therefore, f(1) = 1.
Finding f(2)We can use the same method as the section above.
Since 2 is equal to 2, we will have to use the bottom equation of the piecewise function:
\(\begin{gathered} f(2)=2+3,2\ge2 \\ f(2)=5,2\ge2 \end{gathered}\)Therefore, f(2) = 5.
Round 0.431 to the nearest tenth
Answers
Answer:
rounded to the nearest tenth is 0.4
Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
Answers
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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help meeeeeeeeeeeeee
Answers
Value of this expression will be (a.) -2/15.
How can we prove it ?The order of operations (PEMDAS) must be followed to evaluate the expression (8/5) / (-12)
PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
First, we will simplify the expression inside the parenthesis: 8/5 = 1.6
Next, we will divide 1.6 by -12, this will give: 1.6/-12 = -0.13333
So the value of the expression (8/5) / (-12) is -0.13333
It's important to note that when dividing a negative number by another negative number the result is positive, but when dividing a positive by a negative the result is negative.
What is PEDMAS ?"PEDMAS" is a mnemonic that is used to remember the order of operations in math:
P - Parentheses
E - Exponents
D - Division
M - Multiplication
A - Addition
S - Subtraction
The order of operations tells us the order in which we should perform calculations in a math problem, to ensure that the final answer is correct. The acronym "PEDMAS" is used to help remember the order in which calculations should be performed: Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction. It is also known as "PEMDAS" or "BODMAS" in some regions.
It's important to follow the order of operations when solving mathematical expressions, so that the correct answer is obtained. It is important to first work out the calculations inside the parentheses, then exponents, then division and multiplication, and finally addition and subtraction.
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Complete this item. Identify 1 and 2. Select all that apply of the following terms: acute , right , obtuse , adjacent , vertical , complementary , supplementary. obtuse adjacent vertical supplementary acute right complementary
Answers
∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.
What is the triangle?Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.
The figure is attached in the picture, please refer to the attached picture.
Given that:
An Angle in the figure is a right angle.
Its measure = 90°
So,∠2 = 90° ( vertically opposite angles are equal )
∠1 + ∠2 = 180° ( Linear Pair )
∠1 = 180 - 90
∠1 = 90°
∠1 = ∠2 = 90°
So, ∠1 and ∠2 are right angles because measure of both angles is 90°.
Adjacent angles because both a common arm and a common vertex.
Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.
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for continuous random variables, the probability of any specific value of the random variable is one. true or false
Answers
The given statement "for continuous random variables, the probability of any specific value of the random variable is one." is false because the random variable taking on any specific value is then given by the area under the PDF curve at that value, which is zero.
In fact, for continuous random variables, the probability of any specific value is zero. This may seem counterintuitive at first, but it is a fundamental property of continuous random variables.
The PDF is a function that describes the relative likelihood of the random variable taking on a particular value within its range. The probability of the random variable taking on a specific value is then given by the area under the PDF curve at that value.
Since the PDF is a continuous function, the probability of the random variable taking on any specific value is zero. This is because the area under a continuous curve at any single point is zero.
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