Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.
How to solve for the cost of the tipLet us define x to be the cost of the meal
such that we would have
x + 22%x = 21.96
= x + 0.22x = 21.96
1.22x = 21.96
We would have to divide through the equation that we have by 1.22
x = 21.96 / 1.22
x = 18
X is the cost for the meal that that Frances ate before she gave the tip that she did to the waiter.
Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.
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8y - 5 < 3
Help please!!
Answer:
y < 1
[tex]( - \infty \: 1)[/tex]
Step-by-step explanation:
8y - 5 < 3
8y < 8
y < 1
[tex]( - \infty \: 1)[/tex]
Suppose the absolute price of good X is $18, the absolute price of good Y is $72, and the absolute price of good Z is $180.
The relative price of good X in terms of good Y is 1X =_______
Y.
The relative price of good Y in terms of good Z is 1Y =________
Z.
The relative price of good Z in terms of good X is 1Z =_________
X.
The relative price of good X in terms of good Y is 4Y
The relative price of good Y in terms of good Z is 2.5Z
The relative price of good Z in terms of good X is 0.1X
What are the relative prices?The relative price of a good is the price of a good in terms of the price of another good. The relative price of a good is the ratio of the price of two goods or services.
The relative price of good X in terms of good Y = Price of good Y / price of good X
$72 / 18 = 4Y
The relative price of good Y in terms of good Z = price of good Z / price of good Y
$180 / $72 = 2.5Z
The relative price of good Z in terms of good X = price of good X / price of good Z
$18 / $180 = 0.1X
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Arthur has completed four times as many jigsaw puzzles as Conan. Doyle has completed three times as many jigsaw puzzles as Conan. Doyle has completed 12 fewer jigsaw puzzles than Arthur has. How many jigsaw puzzles has Conan completed?
Canon has 12 jigsaw puzzles in total.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Let us say puzzles solved by :
Arthur be x
Conan be y
Doyle be z
also,
Here, it is given that :
Arthur has completed four times as many jigsaw puzzles as Conan which means :
x = 4y.......(1)
Doyle has completed three times as many jigsaw puzzles as Conan which means :
z = 3y.....(2)
Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :
z = x-12....(3)
now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :
3y = x-12
3y = 4y-12
4y-3y = 12
y = 12
Therefore, Canon has 12 jigsaw puzzles in total.
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Explain how you used a mathematical model
to represent the situation. How did the model help you answer the
Main Question?
In mathematical modelling, we take a real-world problem and write it as an equivalent mathematical problem.
We then solve the mathematical problem, and interpret its solution in terms of the real-world problem.
After this we see to what extent the solution is valid in the context of the real-world problem.
Mathematical modeling is one of the bases of mathematics education. Mathematical modeling is described as conversion activity of a real problem in a mathematical form. Modeling involves to formulate the real-life situations or to convert the problems in mathematical explanations to a real or believable situation.
It's extremely precise, since it's math-based, which allows you to develop accurate ideas and assumptions. It's concise, with clear and established rules. It gives you direction when trying to solve a problem.
characters of modeling;
In mathematical models parameters are most often represented by variables. Changes in the numbers assigned to the variables change the model. 3) Simplification/Idealization.It should necessarily be incomplete.It may be changed or manipulated with relative ease.
It is simplification/Idealization. Mathematical modeling has many benefits related to real-world problems, but the main disadvantages are process simplification, specific rules of the model, and lack of information or data monitoring.
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write ____ as a single power of 6
Answer:
[tex]6^{7/2}[/tex]
Step-by-step explanation:
[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]
Answer:
This question was previously solved by an expert
When a female asks me why am i dry does she mean why am i dry at texting?
Answer asap
Answer:
if u might be giving replies in short like hmm... gn and all she meant that only ig
hope it helps.....
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
I need help I don’t understand at all it’s due 30 mins?
Answer:
First box: 15
Second box: 8
Third box: 3
Fourth box: 5
Fifth box: (x+3)(x+5)
Step-by-step explanation:
Factor the trinomial so that it will multiply nicely. 3 and 5 add up to 8 while they multiply to 15
If we draw one individual at random, what is the probability that the respondent has excellent health or doesn't have health coverage?
Based on the number of respondents with excellent health and those don't have health coverage, the probability that the respondent has excellent health or doesn't have health coverage is 33.61%
How to find the probability?Out of 20,000 respondents, 2,524 people did not have health coverage. Out of those same 20,000 people, 4,198 respondents had excellent health coverage.
The probability that the respondent has excellent health or doesn't have health coverage is therefore:
= Probability that random person does not have health coverage + Probability that a respondent has excellent health coverage
= (2,524 + 4,198) / 20,000
= 33.61%
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help pleaseeeeeeeeeeeeeeee
Answer:
c is the answer
Step-by-step explanation:
hint is the direction of movement
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 21 ft, what percentage of the total capacity is being used?
The percentage of the total capacity being used is mathematically given as 98.4 %
What percentage of the total capacity is being used?Generally, the equation for the Lateral area is mathematically given as
Lateral area =[tex]\frac{\theta}{2} \gamma^2-(\gamma-h) \sqrt{h(2-h)}\\[/tex]
Where
[tex]\theta=2 \cos ^{-1}\left(1-\frac{h}{\gamma}\right)=2 \cos ^{-1}\left(1-\frac{1}{11}\right)\\\\\&\Rightarrow F=\frac{\theta}{2}(11)^2-(11-1) \sqrt{1(2-1)}\\\\&\Rightarrow F=\frac{2\left(\cos ^{-1}(10 \% 11)\right.}{2}(11)^2-(10) \sqrt{1}\\\\&\Rightarrow F=6.167 \mathrm{ft}^2[/tex]
Hence Volume of the whole cylinder is
V=\pi 11^2 l
V=121 \pi l
Generally, the equation for Total capacity is mathematically given as
[tex]V_1=\pi(11)^2 L[/tex]
[tex]=121 \pi 2ft^2[/tex]
Area of cross-section:-
[tex]\begin{aligned}A &=\int_{-11}^{10}\left[\sqrt{1^2-y^2}-\left(-\sqrt{u^2-y^2}\right)\right] d y \\&=2 \int_{-71}^{10} \sqrt{1^2-y^2} d y . \\A & \cong 373.96 \mathrm{ft}^2\end{aligned}[/tex]
In conclusion, the Percentage of total capacity
[tex]\% TC=\frac{121 \pi l-6.167 l}{121 \pi l} \times 100 \\[/tex]
[tex]\% TC =\frac{373.77}{3799+100}=98.37 \%[/tex]
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PLEASE HELP ITS A QUIZ GRADE
Parallel lines I and m are cut by transversals s and t to form the diagram below
What is the value of x
1. 58
2. 64
3. 96
4. 116
Answer:
3. 96
Step-by-step explanation:
x= 180°-84°
x=96°
so number 3 is the right answer.
3x+4=5x-6 solve for x
whats the answer ?????? simplify 5x5squared
Answer:
[tex]25 \times 25[/tex]
Step-by-step explanation:
[tex]5 ^{2} \times 5 ^{2} [/tex]165Choose two of the points that represent the overall pattern of the data. Type the points in below. Imagine a line connecting the points on the graph above, extending the all the way to the ends of the graph. Determine the equation of the line and give the function below. Round your slope and y-intercept to the nearest whole number.
The linear function that connects the points with coordinates (0,3) and (1,8) is given by:
y = 3 + 5x.
What is the missing information?The points on the graph are missing, and the problem couldn't be found on a search engine, hence we are going to suppose that the points are (0,3) and (1,8).
What is a linear function?A linear function is modeled according to the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.Considering points (0,3) and (1,8), we have that:
When x = 0, y = 3, hence the y-intercept is of b = 3.When x increases by 1, from 0 to 1, y increases by 5, from 3 to 8, hence the slope is of m = 3.Hence the linear function that connects the points with coordinates (0,3) and (1,8) is given by:
y = 3 + 5x.
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A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 5,11,13,4, and 1 respectively. Using percentages, what are the relative frequencies of the five classes?
The relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.
Given, we have the frequency table grades A,B,C,D,F with frequencies of 5,11,13,4, and 1 respectively.
According to the question the relative frequency, the specific frequency is divided by the total frequency.
The sum of all the frequencies is called relative frequency.
= 5 + 11 +13 +4 +1 = 34
The relative frequency of the
first
class is,
A 5/34 = 0.14 = 14%
The relative frequency of the
second
class is,
B 11/34 = 0.32 = 32%
The relative frequency of the
third
class is,
C 13/34 = 0.38 = 38%
The relative frequency of the
fourth
class is,
D 4/34 = 0.11 = 11%
The relative frequency of the
fifth
class is,
F 1/34 = 0.029 = 2.9%
Hence, the relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.
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Does anyone know the answer to this.
The correct statement that is missing in the proof is m<5 + m<2 = 180 degrees
Supplementary anglesSupplementary angles are angles that sums up to 180 degrees. From the third proof, we can see that the measure of m<1 is equivalent to m<5.
Also from the 4th statement <1 and m<2 are supplementary meaning that the sum of <1 and <2 is equivalent to 180 degrees.
Since m<1 = m<5, we can replace m<1 as m<5 in the equation m<1 + m<2 = 180 from statement 4 to have m<5 + m<2 = 180 degrees by the substitution property.
Hence the correct statement that is missing in the proof is m<5 + m<2 = 180 degrees.
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2(4a+b)+2(3a+b) remove the brackets
Answer: 14a + 4b
Step-by-step explanation: 2(4a+b) part equals 8a + 2b because it is distributive property and then 2(3a+b) equals 6a+2b then put the a's. 8a + 6a = 14a then the b's. 2b+2b= 4 b. Put them together and it gives you 14a + 4b.
Step-by-step explanation:
2(4a+b)+2(3a+b) remove the brackets
2(4a+b)+2(3a+b) =
8a + 2b + 6a +2b = (no brackets)
14a + 4b (solution)
You are building a house. The scale factor of the blueprint is 0.75 in = 2 ft. If the dimensions of the blueprint bedroom are 6 in by 9 in, how much carpeting will you actually require for the floor?
How many times does 0.75 divide into 6?
6.0/0.75 = 8
8 x 2 = 16 ft
How many times does 0.75 divide into 9?
9.0/0.75 = 12
12 x 2 = 24
ANS 16ft x 24ft = 384 sq ft Answer:
Step-by-step explanation:
Alex owns 18 more books in his sister scout it together they own 66 books how many books does Alex own
By answering the above question, we may state that by equation A = S + 18 = 24 + 18 = 42 and Alex thus owns 42 books.
What is equation?Using the equals notation (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of three mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are inscribed on opposite sides of a letter. Most of the time, the symbol and the particular software match. e.g., 2x - 4 = 2 is an example.
Let's designate the quantity of books Alex has as "A" and the quantity of books his sister Scout owns as "S."
We learn the following from the issue:
A = S + 18 (Alex possesses 18 more books than his sister) (Alex owns 18 more books than his sister)
A + S = 66 (combined, they possess 66 books) (together, they own 66 books)
These two equations can be used to determine A:
The first equation is substituted into the second equation to yield:
(S + 18) + S = 66
2S + 18 = 66
2S = 48
S = 24
Scout has 24 books, thus we can apply the first equation to determine how many books Alex has:
A = S + 18 = 24 + 18 = 42
Alex thus owns 42 books.
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if x=2u²+1 and y=5u³+1, find dy/dx
Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{15}{4}[/tex] u
Step-by-step explanation:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]
differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , and [tex]\frac{d}{dx}[/tex] (constant) = 0
given
x = 2u² + 1
[tex]\frac{dx}{du}[/tex] = 4u , then
[tex]\frac{du}{dx}[/tex] = [tex]\frac{1}{4u}[/tex]
y = 5u³ + 1
[tex]\frac{dy}{du}[/tex] = 15u²
then
[tex]\frac{dy}{dx}[/tex] = 15u² × [tex]\frac{1}{4u}[/tex] = [tex]\frac{15}{4}[/tex] u
jelo on sll of tjede
Answer:
Step-by-step explanation:
go to school
I need help answering some math questions,
Answer:lake a:7 lake b:9 lake c 21
Step-by-step explanation:
In a particular parking lot with 24 cars in it, 18 are blue. What fraction of the cars in the parking lot are blue?
Answer:3/4
Step-by-step explanation:
18/24 divide by 2 9/12 divide by 3 3/4
CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN!!
Answer:
he walks 4.5 feet every second
Step-by-step explanation:
PLEASE HELP ME I GIVE GOOD POINTS THERE ARE 2 IMAGES
Answer:
Function maximum of 7 at x = - 3Function minimum of - 1 at x = 5The function is increasing on the intervals:Step-by-step explanation:
Function maximum
ill give 10 points and brainly
Answer:
600 feet
Step-by-step explanation:
If you moved Both Samantha and Ryu two units to the left, you would see that the distance would be equal from 0 to -600. Distance cannot be negative so the distance between the two would be 600 feet.
Write the ratio as a fraction in lowest terms.
46 minutes to 3 hours
The ratio as a fraction in lowest terms is 23 : 90
Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.
So,
46 minutes : 3 hours
= [tex]\frac{46 \ minutes}{ 3 \ hours}[/tex]
We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,
= [tex]\frac{46 \ minutes}{ 180\ minutes}[/tex]
= [tex]\frac{46 }{ 180}[/tex]
= [tex]\frac{23}{ 90}[/tex]
=23:90
Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.
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The ratio as a fraction in lowest terms is 23 : 90
Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.
So, 46 minutes : 3 hours
[tex]=\frac{46 \ minutes}{3 \ hours}[/tex]
We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,
[tex]=\frac{46 \ minutes}{180 \ minutes}\\[/tex]
= [tex]\frac{46 }{180}[/tex]
= [tex]=\frac{23}{90}[/tex]
=23:90
Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.
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Team a has 1,627 points team b has 1,816 points which team has the most points
Answer:
B
Step-by-step explanation:
if x=-2/3 and y=0.6 what would 1/4xy equal in simplest form
Answer:
0.625
Step-by-step explanation:
x=2/3, y=0.6
then 1/4xy = 1/(4×2/3×0.6)
= 0.625