Answer:
Commutative Property Addition
1. Is H nonempty? 2. Is H closed under addition? If it is, enter CLOSED. If it is not enter two vectors in H whose sum is not in H. using a comma separated list and syntax such as <1,2,3>, <4,5,6>. 3. Is H closed under scalar multiplication? If it is, enter CLOSED. If it is not enter a scalar in R and a vector in H whose product is not in H, using a comma separated list and syntax such as 2, <3,4,5>. 4. Is H a subspace of the vector space V? You should be able to justify your answer by writing a complete, coherent, and detailed proof based on your answers to parts 1-3.
As per the concept of vector, the subspace of the vector is < 3, 4, 5>
The term vector is defied as the geometric entity that has both magnitude and direction.
Here we have to find the given vector <1, 2 , 3> and < 3, 4, 5> subspaces by using the vector formula.
Let us consider V = R³ and let H be the subset of V of all points on the plane 7x+4y+6z=0.
By looking into the given equation, we have identified that H is a non empty set.
And here be looking into the given vector, the second one is always the subspace. Based on this, the resulting subspace is written as,
=> < 3, 4, 5>
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Select all the true statements given that APQR= ASTU.
A. PO= ST
B. PQ= TU
C. mLR =mLU
D. MLP = m
E. ML0= m
The true statements that satisfy ΔPQR ≅ ΔSTU are PQ = ST, m∠R = m∠U, and m∠Q = m∠T.
What is congruence?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Here, we have
Given
ΔPQR is congruent to ΔSTU
We have to find a true statement that satisfies the given condition.
We concluded that PQ = ST, m∠R = m∠U, and m∠Q = m∠T.
Hence, the true statements that satisfy ΔPQR ≅ ΔSTU are PQ = ST, m∠R = m∠U, and m∠Q = m∠T.
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Complete the explanation of how the parameter b horizontally stretches or compresses the graph of y=(b x)² when 0
By using the concept of stretch, it can be concluded that -
When 0 < b < 1, the graph of y = [tex](bx)^2[/tex] is stretched horizontally by a factor of b
What is stretch?
Stretch is a mathematical transformation in which an object enlarges in one direction only.
y = [tex](\frac{1}{2}x)^2[/tex] is a horizontal stretch of y = [tex]x^2[/tex] by a factor of 2
y = [tex](\frac{1}{3}x)^2[/tex] is a horizontal stretch of y = [tex]x^2[/tex] by a factor of 3
y = [tex](\frac{1}{4}x)^2[/tex] is a horizontal stretch of y = [tex]x^2[/tex] by a factor of 4
So when 0 < b < 1, the graph of y = [tex](bx)^2[/tex] is stretched horizontally by a factor of b
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arrange the following five girls in order starting from the youngest
sue is older than ria but younger than jill one other girl separates jill and Michelle in age . Michelle is neither the youngest nor the eldest . Paula is the youngest.
need help fast
Answer:
Step-by-step explanation:
Sue is older than Ria, but Ria is younger than Jill. Ria is the middle of the three. Paula is the youngest. So the order would be Paula, Ria, Michelle, Jill, and Sue. Hope this was correct and hoped it helped. :)
Cupcakes are packed six to a box Abby only buys full boxes of cupcakes give two possible numbers of cupcakes that she could buy?
Two possible numbers are 6 and 12.
6 would mean she bought one box, and 12 would mean she bought 2 boxes.
Answer the questions below to explain what kind of function would better model the data, linear or exponential.
function would better model the data because as x increases, the
y values change . The of this function is approximately
The linear model would be a better model for the given function.
What are linear models?
A response variable can be described in terms of a linear combination of predictor variables using linear models. The response ought to be continuous and at least roughly regularly distributed. Although these models are widely used, they are unable to handle clearly discrete or skewed continuous data.
In the table, we see that as x increases, y values change in a steady manner. The slope of this function is approximately 1860.
We use straight lines to visually illustrate linear relationships. Typically, a linear model has two parameters: the slope, also known as the growth factor or rate of change, and the y-intercept, often known as the beginning value. The linear model can be expressed as a linear function, y = mx + b or y=mx+b, where m is the slope and b is the y-intercept.
So, we get the slope as 1860.
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If 2^x = 32 , then x=
Using the exponent's rule we know that x = 5.
What are exponents?Exponentiation is a mathematical process that involves the base b and the exponent or power n.
It is represented as bn and is pronounced as "b to the n."
A number's exponent indicates how many times to multiply that particular number.
It appears as a little number above and to the right of the basic number.
For instance, 82 = 8 x 8 = 64.
(The exponent "2" instructs us to multiply by two and use the number eight.)
Another illustration is 53 = 5 * 5 * 5 = 125.
So, we have: 2ˣ = 32
We know that:
2 * 2 * 2 * 2 * 2 = 32
2 is multiplied 5 times which means:
2⁵ = 32
Hence, x = 5.
Therefore, using exponents we know that x = 5.
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shiloh is sharing jelly beans. The jar has a ratio 36:32 if shiloh keeps the ratio the same and gives his friend 7 pink jellybeans, how many green jellybeans should he also share
Answer:
5.89 green jelly beans or we would round down to the nearest whole jellybean, 5.
Step-by-step explanation:
I am assuming that the ration is 36:32 pink:green so we need 7:?
36/32
7/ (36/32) =5.8947
The barometric air pressure in inches of mercury at a distance of x miles from the eye of a severe hurricane is given by f(x)=0.48 ln (x+2)+27. How far from the eye is the pressure 28 inches of mercury?
The pressure of 28 inches of mercury occurs about miles from the eye of the hurricane.
(Round to the nearest whole number as needed.)
For the given function, f(x)=0.48 ln (x+2)+27. The distance is 6.004 from the eye is the pressure of 28 inches of mercury.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x)=0.48 ln (x+2)+27
f(x)=28
28 = 0.48 ln (x+2)+27
0.48 ln(x+2)=28-27
ln(x+2)=1/0.48
ln(x+2)=2.08
[tex]\rm x+2 = e^{2.08}[/tex]
x+2 = 8.004
x=8.004 - 2
x=6.004
Thus, for the given function, f(x)=0.48 ln (x+2)+27. The distance is 6.004 from the eye is the pressure of 28 inches of mercury.
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Find the slope of the line that goes through the given points
(-5-10) and (-6, -1)
Answer:
-9
Step-by-step explanation:
(y2-y1)/(x2-x1)
[tex]\frac{(-1--10)}{(-6--5)}[/tex]=-9
Write and find the general solution of the differential equation that models the verbal statement. Evaluate the solution at the specified value of the independent variable.
The rate of change of P is proportional to P. When t = 0, P = 8,000 and when t = 1, P = 5,200. What is the value of P when t = 6?
Be sure to:
1) Write the differential equation (use k for the constant of proportionality)
2)Solve the differential equation
3) Evaluate the solution at the specified value of the independent variable. (Round your answer to three decimal places.)
1) The differential equation is: dP/dt=kP
2) P(t)=8000[tex]e^{-0.28t}[/tex]
3) The solution at the specified value of the independent variable is 1490.991
What is meant by differential equation?In practical contexts, derivatives frequently represent the rates of change of physical quantities, and the differential equation establishes a relationship between the two. As a result of the frequent occurrence of these correlations, differential equations are widely employed in a wide range of disciplines, including engineering, physics, economics, and biology.
Only the simplest differential equations can be resolved explicitly, but many aspects of a given differential equation's solutions can be determined without doing an exact calculation.
1) The differential equation is: dP/dt=kP
Here k is the proportionality constant
2) Now, we have to solve the differential equation on dP/dt=kP
∫dP/P=∫kdt+lnP₀
lnP₀=kt+lnP₀
lnP/P₀=kt
P=P₀[tex]e^{kt}[/tex]
Here P₀ is the constant of integration.
P(t)=P₀[tex]e^{kt}[/tex]
And they have given that,
P(0)=8000=P₀e⁰
P₀=8000
P(1)=5200
5200=8000[tex]e^{k}[/tex]
k=-2log(2)+log(3)≈ -0.28
Therefore, the required function is:
P(t)=8000[tex]e^{-0.28t}[/tex]
3) Now, we have to put t=6 in the above equation:
P(6)=8000[tex]e^{-0.28*6}[/tex]
P(6)=1490.991
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if sandy earns $5.00 an hour at her new job, how much will she make after 12 hours?
Answer: $60.00
Step-by-step explanation: If we want to find how much money she makes in 12 hours, we must use the information we got for how much she makes in 1 hr, and apply that to make a proportional relationship. So, it would look like this:
[tex]\frac{5}{1}[/tex] = [tex]\frac{?}{12}[/tex]
Now, using cross multiplying, we multiply 1 x 12 and 5 x 12 to get $60. I hope this helped.
3. Laurie uses yellow and white tiles to create a pattern.
a) Make a table of values to show the number of yellow tiles in relation to the figure number.
b) Describe the relationship between the number of yellow tiles and the figure number.
c) Develop an expression and an equation to model the number of yellow tiles. Explain what each part of the equation represents.
d) How many yellow tiles are in Figure 24?
e) Which figure number has 176 yellow tiles? Verify your answer.
f) Is it possible to have a figure with 54 yellow tiles? Show how you know.
a) Figure 1 2 3
Number of tiles 8 12 16
b) The number of tiles is 8 more than 4 times of 1 less than the number of figure.
c) The equation of model the number of yellow tiles is y = 4x + 4.
d) The number of tiles in figure 24 is 100.
e) Figure 43 has 176 yellow tiles.
f) No.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given that
the number of yellow tile in figure 1 is 8.
The number of yellow tile in figure 2 is 12.
The number of yellow tile in figure 3 is 16.
(a) The table is
Figure 1 2 3
Number of tiles 8 12 16
(b)
The number of tiles increase at a constant rate.
The rate is (12 - 8) = (16 - 12) = 4
The relation with the figure and number of tiles is
The number of tiles is = 4 + (the number of figure - 1)4
C)
Assume that y represents total number of tiles.
x = Number of figure
Rewrite "The number of tiles is = 4 + (the number of figure - 1)4" in term of x and y:
y = 8 +(x - 1)4
y = 8 + 4x -4
y = 4x + 4
d) Putting x = 24 in y = 4x + 4
y = 4×24 + 4
y = 96 + 4
y = 100
e)
Putting y = 176 in y = 4x + 4
176 = 4x + 4
Subtract 4 from both sides:
172 = 4x
Divide both sides by 4
x = 43
f)
Putting y = 54 in y = 4x + 4
54 = 4x + 4
Subtract 4 from both sides:
50 = 4x
Divide both sides by 4
x = 50/4
The value of x is not a whole number. Thus it is not possible that a figure has with 54 yellow tiles.
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Rewrite the linear expressions by factoring out the greatest common factor.
-x – 10
According to the given statement the greatest common factor is -1(x+10).
What is an example of a linear expression?Examples involving linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3. The concept of linear equations, the including that for linear equations involving one parameter, two independent variables, or three variables, and examples of each will all be explored in detail in this article.
How should a linear expression be written?A linear equation has the slope-intercept form y = mx + b. When x is 0, the integers m and b provide the line's slope (m) and also the value of y. (b). It y-intercept is indeed the value that y has when x is 0 because (0,y) is the point at which the line crosses the y-axis.
Briefing:= -x – 10
= -1(x+10)
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The odds on (against) your bet are 3
to 7
.
If you bet $49
and win, how much will you gain?
Answer:
No more than 10 dollars
Step-by-step explanation:
Facts!
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 526
randomly selected adults showed that 61% of them would erase all of their personal information online if they could. Find
the value of the test statistic.
The value of the test statistic is
(Round to two decimal places as needed.)
The value of the test statistic rounded to two decimal places is equal to 5.05.
What is a sample proportion?In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
For a claim that most adults would erase all of their personal information online if they could, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:
H₀: p ≤ 0.5.
Ha: p > 0.5.
How to calculate the value of the test statistic?Mathematically, the test statistic for the z-test of a population proportion can be calculated by using this mathematical expression;
[tex]z=\frac{\hat{p} \;- p}{\sqrt{\frac{p(1\;-p)}{n } } }[/tex]
Where:
z represents the test statistic.p^ represents the sample proportion.n represents the sample size.p represents the population proportion.Substituting the given parameters into the formula, we have;
z = (0.61 - 0.5)/√(0.5(1 - 0.5)/526)
z = (0.11)/√(0.5(0.5)/526)
z = (0.11)/√(0.25/526)
z = 0.11/0.0218
z = 5.05.
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What is the slope of the line on this graph?
Enter your answer in the box.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-6}{2 +1} \implies \cfrac{ -6 }{ 3 } \implies \text{\LARGE -2}[/tex]
Answer:
The slope is 2
Step-by-step explanation:
To find the slope you divide the rise by the run. Rise being how many units it goes up or down) (run being how many units it goes to the side).
In this case the rise is -2 and the run is -1.
See in the picture, for every 2 units the line goes down, it moves one unit to the right.
so, -2/-1= 2
If $900 is invested at 3%, compounded monthly, the future value S at any time t (in years) is given by the following.S = 900(1.0025)^12tHow long (in years) will it take for the amount to double? (Round your answer to one decimal place.)
Number of years it will take for the amount to double is 23 years
The principal amount = $900
The interest rate = 3%
The interest is compounded monthly
The given equation is
S = 900(1.0025)^12t
Where S is the final amount
t is the time period in years
The final amount is the double of principal amount
Final amount = 2 × 900
= $1800
Substitute the values in the equation
1800 = 900(1.0025)^12t
1.0025^12t = 1800/900
1.0025^12t = 2
Then value of t = ln(2) / 12ln (1.0025)
Divide the numbers
= 23.13b years
Therefore, the time period is 23 years
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Robin worked his 40 regular hours last week plus 20 overtime hours at the time-and-a-half rate. His gross pay was $16,203. What is his regular hourly rate?
Answer:
His rate is a whopping $231.47 per hour.
:)
Step-by-step explanation:
We can conclude that.
[tex]r*t_1=p_{reg}[/tex] is the gross pay from his regular hours.
[tex]1.5r*t_2=p_{ovt}[/tex] is the gross pay from his overtime hours.
So all together we can say
[tex](r*t_1)+(1.5r*t_2)=p[/tex]
We are looking for his hourly rate.
Lets solve for [tex]r[/tex].
Multiply the terms in the parenthesis.
[tex]rt_1+1.5rt_2=p[/tex]
Factor [tex]r[/tex] out of [tex]rt_1[/tex].
[tex]r(t_1)+1.5rt_2=p[/tex]
Factor [tex]r[/tex] out of [tex]1.5rt_2[/tex].
[tex]r(t_1)+r(1.5t_2)=p[/tex]
Factor [tex]r[/tex] out of [tex]r(t_1)+r(1.5t_2)[/tex].
[tex]r(t_1+1.5t_2)=p[/tex]
Divide each term in [tex]r(t_1+1.5t_2)=p[/tex] by [tex]t_1+1.5t_2[/tex] and simplify.
[tex]\frac{r(t_1+1.5t_2)}{t_1+1.5t_2} =\frac{p}{t_1+1.5t_2}[/tex]
Simplify the left side. Cancel the common factor of [tex]t_1+1.5t_2[/tex]
[tex]r=\frac{p}{t_1+1.5t_2}[/tex]
Now we have an equation to find his regular hourly rate.
We are given
[tex]p=16203[/tex]
[tex]t_1=40[/tex]
[tex]t_2=20[/tex]
Lets plug these numbers into our equation for [tex]r[/tex].
[tex]r=\frac{16203}{40+1.5*20}[/tex]
[tex]r=\frac{16203}{70}[/tex]
[tex]r=231.47[/tex]
Assuming that a personal space is 3ft squared. Estimate how many people can fit into a circular arena a diameter of 100 yards?
Answer
2617.
Step-by-step explanation
To estimate the number of people that can fit into a circular arena with a diameter of 100 yards, we first need to find the area of the arena. To do this, we can use the formula for the area of a circle, which is equal to pi times the radius squared. Since the diameter of the arena is 100 yards, the radius would be half of that, or 50 yards. Plugging this value into the formula for the area of a circle, we get:
Area = pi * 50^2
Since pi is approximately equal to 3.14, we can plug this value into the equation to get:
Area = 3.14 * 50^2
This simplifies to:
Area = 3.14 * 2500
Which gives us an area of approximately 7850 square yards.
Since one person requires a personal space of 3 square feet, we can divide the total area of the arena by 3 to find the number of people that can fit in the arena. This gives us:
7850 square yards / 3 square feet/person = 2616.666... people
Rounded to the nearest whole number, this means that approximately 2617 people could fit in the circular arena with a diameter of 100 yards.
Did I solve the absolute value right, when solving I used [tex]\sqrt{(5)^2+(0)^2}[/tex]
which I only got 5, but I feel like that felt a little too easy and wanted to make sure i answer this question right.
Answer:
(-5, 0)
|z| = 5
Step-by-step explanation:
Complex numbers can be represented on an Argand diagram.
The x-axis is called the real axis and the y-axis is called the imaginary axis.
The complex number z = x + iy is represented on the diagram by the point P(x ,y), where x and y are Cartesian coordinates.
Therefore, the complex number z = -5 can be represented on the Argand diagram by the point:
(-5, 0)The absolute value of a complex number is the magnitude of its corresponding vector.
For a complex number z = x + iy, the absolute value is given by:
[tex]|z|=\sqrt{x^2+y^2}[/tex]
Therefore, the absolute value of complex number z = -5 is:
[tex]\implies |z|=\sqrt{(-5)^2+(0)^2}[/tex]
[tex]\implies |z|=\sqrt{25+0}[/tex]
[tex]\implies |z|=\sqrt{25}[/tex]
[tex]\implies |z|=5[/tex]
100 POINTS!!!!! HELPPPP PLEASE, ILL GIVE BRAINLIEST IF CORRECT
The display summarizes grades on a World History exam.
A vertical box plot is titled world history exams, with a minimum of 54, a maximum of 94, a lower quartile of 70, a median of 83, and an upper quartile of 88.
Which of the following describes the data set?
The data is univariate and categorical.
The data is univariate and numerical.
The data is bivariate and categorical.
The data is bivariate and numerical
The option that best describes the data is B; The data is univariate and numerical.
What is univariate data?This kind of data just has one variable. Since there is only one variable that varies, univariate data analysis is the most straightforward type of analysis.
In this case, the one variable is World History scores exam
Since we are given vertical box plot is titled world history exams, with a minimum of 54, a maximum of 94, a lower quartile of 70, a median of 83, and an upper quartile of 88.
A numerical data is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data.
Numerical data, also known as quantitative data, that is gathered in number form and differs from all other sorts of number data because it can be calculated mathematically and statistically.
Hence, the correct one is B; The data is univariate and numerical.
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Answer:
it is univariate and numerical
Step-by-step explanation:
univariate vs bivariate thsi is univariate because it only deals with one varialbe and its numberical because it is numbers ( that parts a litle clear)
hope i helped a litle i tried to explain it bc i know how tought this class can be (this is flvs from 4.09 from lesson4.05 incase that helps)
Pls help I need done quickly I am overdue
so, to find the answer you times the 2 bottom rows together so in this picture is is 4 x 7 which equals 28
hope this helps :)
Solve for x.
36=27^x+10
Answer:
x = In(26)/In(27)
Step-by-step explanation:
26=27^(x)
take the logarithm of both sides
x = In(26)/In(27)
Answer:
This is a bit late but I believe the answer is
Step-by-step explanation:
x = In (26)/3In (3).
Im very sorry if this turns out to be wrong.
Triangle A B C is an isosceles triangle. Find the missing angles and side measures.
- Angle A =?
- Angle C=?
- Side A C=?
The value of ∠ A = 40°,∠C = 70° and AC = 12
What is value ?
Value in mathematics can refer to a number of closely related ideas. A mathematical value can generally be any specific mathematical object. This is most frequently a number in elementary mathematics, such as a real number like or an integer like 42.
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value. Consider the number 45, for example. Here, the fourth digit is in the tens column.
If triangle is isosceles it means the two sides and angles are equal
∴ BC = AC
AC = 8 cm
A + B + C = 180
A = 180 - 70 -70
∠A = 40°
∠C = 70°
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evaluate for the value of sum and x after the following code is executed. sum is initialized to 4. x is initialized to 2.
The value of the given sum after the execution of code segment is equal to 16.
As given in the question,
Using attached code segment.
Given values are:
num1 = 6
num2 =4
num3 =10
Value of sum after execution of code segment is given by:
num1 < num2
⇒ 6< 4 which is false.
Else num3 = num2
⇒ num3 = 4
num2≥ num3
⇒4 ≥ 4
True as 4 =4
num1 = num2 + num3
= 4 + 4
= 8
Final sum = num1 + num2 + num3
= 8 + 4 + 4
= 16
Therefore, using code segment the value of the sum is equal to 16.
The given question is incomplete, I answer the question in general according to my knowledge:
What is the value of sum after the code segment is executed?
code segment is attached:
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There are 9 bottles of juice on a shelf. Each serving of juice is of a bottle.
How many servings of juice are there in the bottles on the shelf?
Enter your answer in the box.
servings
PLEASE HELP IM DOING A TEST
The number of servings of juice in the bottles on the shelf is 135
How to determine the number of servings of juice in the bottles on the shelf?From the question, we have the following parameters that can be used in our computation:
Bottles = 9
Serving of juice per bottle = 15
This means that
The number of servings of juice in the bottles on the shelf = Bottles x Serving of juice per bottle
So, we have
The number of servings of juice in the bottles on the shelf = 9 * 15
Evaluate
The number of servings of juice in the bottles on the shelf = 135
Hence, the servings is 135
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Complete question
There are 9 bottles of juice on a shelf. Each serving of juice is 15 of a bottle.
How many servings of juice are there in the bottles on the shelf?
5. Table Item For parties of 6 or more people
at a certain restaurant, a tip of 18% is
automatically included on the bill.
Select yes or no to indicate whether or not
each of the following tip amounts is correct
for an 18% gratuity on each subtotal.
(Lesson 3)
subtotal: $129.50
tip: $23.27
subtotal: $98.40
tip: $17.71
subtotal: $142.17
tip: $22.75
yes
no
Answer:
Look at images
Step-by-step explanation:
it doesn't let me put the full image
read the proof given AB//DE prove ABC EDC:
Answer:
AA similarity theorem.
Step-by-step explanation:
decimals and fractions, percents and decimals, percents over 100% and less than 0%, compare and order fractions, decimals and percents
No matter how they are expressed, fractions, decimals, and percentages can all have the same value.
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
Here,
It is possible to have fractions, decimals, and percentages that have the same value regardless of how they are expressed.
These fractions, decimals, and percentages are said to be equivalent.
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