Answer:
68.5% seats filled
76% points earned
Step-by-step explanation:
General outlineIdentify the whole and the partChange ratio into a percentageRatiosPercentages are formed when one finds a ratio of two related quantities, usually comparing the first partial quantity to the amount that "should" be there.
[tex]\text{ratio}=\dfrac {\text{the "part"}}{\text{the whole}}[/tex]
For instance, if you have a pie, and you eat half of the pie, you're in effect imagining the original pie (the whole pie) cut into two equal pieces, and you ate one of them (the "part" of a pie that you ate). To find the ratio of pie that you ate compared to the whole pie, we compare the part and the whole:
[tex]\text{ratio}=\dfrac {\text{the number of "parts" eaten}}{\text{the number of parts of the whole pie}}[/tex]
[tex]\text{ratio}=\dfrac {1}{2}[/tex]
If you had instead eaten three-quarters of the pie, you're in effect imagining the original pie cut into 4 equal pieces, and you ate 3 of them.
[tex]\text{ratio}=\dfrac {\text{the number of "parts" eaten}}{\text{the number of parts of the whole pie}}[/tex]
[tex]\text{ratio}=\dfrac {3}{4}[/tex]
There can be cases where the "part" is bigger than the whole. Suppose that you are baking pies and we want to find the ratio of the pies baked to the number that were needed, the number of pies you baked is the "part", and the number of pies needed is the whole. This could be thought of as the ratio of project completion.
If we need to bake 100 pies, and so far you have only baked 75, then our ratio is:
[tex]\text{ratio}=\dfrac {\text{the number of "parts" made}}{\text{the number of parts of the whole order}}[/tex]
[tex]\text{ratio}=\dfrac {75}{100}[/tex]
But, suppose you keep baking pies and later you have accidentally made more than the 100 total pies.... you've actually made 125 pies. Even though it's the bigger number, the number of pies you baked is still the "part" (even though it's bigger), and the number of pies needed is the whole.
[tex]\text{ratio}=\dfrac {\text{the number of "parts" made}}{\text{the number of parts of the whole order}}[/tex]
[tex]\text{ratio}=\dfrac {125}{100}[/tex]
PercentagesTo find a percentage from a ratio, there are two small steps:
Divide the two numbersMultiply that result by 100 to convert to a percentageGoing back to the pies:
When you ate half of the pie, your ratio of pie eaten was [tex]\frac{1}{2}[/tex]
Dividing the two numbers, the result is [tex]0.5[/tex]
Multiplying by 100 gives 50. So, the percentage of pie that you ate (if you ate half of the pie) is 50%
When you ate three-quarters of the pie, the ratio was [tex]\frac{3}{4}[/tex]
Dividing the two numbers, the result is 0.75
Multiplying by 100 gives 75. So, the percentage of pie that you ate (if you ate three-quarters of the pie) is 75%.
When you were making pies, and 100 pies were needed, but so far you'd only baked 75 pies, the ratio was [tex]\frac{75}{100}[/tex]
Dividing the two numbers, the result is 0.75
Multiplying by 100 gives 75. So, the percentage of the project that you've completed at that point is 75%.
Later, when you had made 125 pies, but only 100 pies were needed, the ratio was [tex]\frac{125}{100}[/tex]
Dividing the two numbers, the result is 1.25
Multiplying by 100 gives 125%. So, the percentage of pies you've made to complete the project at that point is 125%.... the number of pies that you've made is more than what you needed, so the baking project is more than 100% complete.
The questions1. 27400 spectators n a 40000 seat stadium percentage.
Here, it seems that the question is asking what percentage of the stadium is full, so the whole is the 40000 seats available, and the "part" is the 27400 spectators that have come to fill those seats.
[tex]\text{ratio}=\dfrac {\text{the number of spectators filling seats}}{\text{the total number of seats in the stadium}}[/tex]
[tex]\text{ratio}=\dfrac {27400}{40000}[/tex]
Dividing gives 0.685. Multiplying by 100 gives 68.5. So, 68.5% of the seats have been filled.
2. an archer scores 95 points out of a possible 125 points percentage
Here, it seems that the question is asking what percentage of the points possible were earned, so the whole is the 125 points possible, and the "part" is the 95 points that were earned.
[tex]\text{ratio}=\dfrac {\text{the number of points earned}}{\text{the total number of points possible}}[/tex]
[tex]\text{ratio}=\dfrac {95}{125}[/tex]
Dividing gives 0.76. Multiplying by 100 gives 76. So, 76% of points possible were earned.
Math Topic: Sum, Difference, and Product of two functions
Help with this!
The expression are; [tex](h - g) (x) = 3x^{3} -x^{2}[/tex], [tex](h + g) (x) = 3x^{3} +x^{2}[/tex] , [tex](h.g) (-1) = -3[/tex].
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given function;
g(x) = [tex]x^{2}[/tex]
h(x) = [tex]3x^{3}[/tex]
The expression;
[tex](h - g) (x) = 3x^{3} -x^{2}[/tex]
[tex](h + g) (x) = 3x^{3} +x^{2}[/tex]
[tex](h.g) (-1) = x^{2} .3x^{3} \\\\(h.g) (-1) = 3x^5\\\\(h.g) (-1) = 3(-1)^5\\\\(h.g) (-1) = -3[/tex]
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Simplify that a chemical is mxing two acid solutions one of 45% concentration and the other of 55% cencetration which of the following concentration could not be obtained
47 49 53 59
The concentration could not be 59.
What is concentration?
The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.
Given:
solutions one of 45% concentration
other of 55% concentration.
The concentration should lie between 45 % to 55 %.
This is because it is not possible to get a mixture concentration which is lower than the lower concentrated acid or higher than the higher concentration acid.
Hence, Mixture concentration must be between 45% and 55%.
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supposed an individual has a body fat percentage of 17.5% and weighs 164 lbs. how many pounds of his weight is made up of fat? round your answer to the nearest tenth.
The amount of pounds of his weight is made up of fat is 28.7lbs
Percentages and valuesGiven the following parameters
Total weight of body = 164lbs
Percentage fat = 17.5%
Determine the amount made up of fat
Fat amount = 17.5% of 164
Fat amount = 0.175 * 164
Fat amount = 28.7lbs
Hence the amount of pounds of his weight is made up of fat is 28.7lbs
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The inverse of the function f(x) = x + 10 is shown.
==
h(x) = 2x-0
What is the missing value?
01
05
O 10
O 20
Answer:
So, the answer is 20
Step-by-step explanation:
[tex]f(x) = \frac{1}{2} x + 10 = = = > \\ f(x) - 10 = \frac{1}{2} x = = = > \\ 2f(x) - 20 = x = = = > \\ {f}^{ - 1} (y) = 2y - 20 = = = > {f}^{ - 1} (x) = 2x - 20[/tex]
The missing value of the inverse function is 20.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inverse of a function, we usually replace f(x) with y, then solve for x in terms of y, and finally replace y with the inverse function notation h(x).
So let's do that with the given function:
f(x) = (1/2)x + 10
y = (1/2)x + 10
2y = x + 20 (multiply both sides by 2 to isolate x)
x = 2y - 20 (subtract 20 from both sides)
Now we can replace x with h(x) and y with x to get the inverse function:
h(x) = 2x - 20
Thus,
The missing value is 20.
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what are x and 8 in the linear equation? 8/x+5=50/25
A.One is variable and one is a coefficient
B.One is a constant and one is a coefficient?
C.Both are variables.
D.both are constants.
Graph the linear function whose equation is y-2=-(x+1) by following these steps:
y
X
y
4
Step 1: Identify the slope.
slope = =
Answer:
slope == -1
Step-by-step explanation:
y-2 = -(x+1)
; y-2 = -x-1 expanding the bracket
; y = -x-1+2
; y = 1-x
hence slope equals -1
1
Which equation is equivalent to 1/4 + x = -5/4? Select all that apply.
X= 6/4
X= -6/4
X=-1/4=-5/4
X=-3/2
X=-3/4
Answer:
1/4 + x = (-5)/4
x = -5/4 - 1/4
x = (-5)-1 /4
x = (-6)/4
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y <2/3x + 3
y > 3/2x + 3
y > 2/3x + 3
y < 3/2x + 3
Answer:
The correct linear inequality is y<2/3x+3
Step-by-step explanation:
Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols
In the graph, the grey region corresponds to the region non-allowed by inequality. We see that for x=0, y is allowed to be only less than 3: this means that the correct inequality must be in the form y<mx+3, so only the 1st option or the 4th option.
In order to choose the correct option, we should find the value of m, the slope of the line in the graph. This slope can be found by calculating the variation of y divided by the variation of x:
m=dy/dx
Choosing for example the points x=0 (which corresponds to y=3) and x=3 , we find
So, the equation of the line is y=2/3x+3
and so the correct inequality is
y<2/3x+3
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urgent help algebra 2
Answer:
y = - 1/4 x + 1
Step-by-step explanation:
Find two convenient integer coordinates like -4,2 and 4, 0
use these points to calculate the slope to be -1/4
intercept is b = 1
y = -1/4 x + 1
For the data set 7, 5, 10, 11, 12, the mean, X, is 9. What is the standard
deviation?
Answer:
The standard deviation is about 2.915
Step-by-step explanation:
Answer:
= 2.9154759474227
Step-by-step explanation:
On the average, five smokers pass acertain street corners every ten minutes, what is the probability that during a given 10 minutes the number of smokers passing will be A. 6 or fewer B. 7 or more C. Exactly 8
Answer:
The answer will be A. 6 or fewer.
The probability that during a given 10 minutes the number of smokers passing will be 6 or fewer.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Example
Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
Terminology of Probability TheoryThe following terms in probability help in a better understanding of the concepts of probability.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
There are 5 smokers who passes by in every 10 minutes.
So, the probability that during a given 10 minutes the number of smokers passing will be approx 5 or less.
i.e., 6 or fewer.
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complete the pattern 2, 6, 21, 88, ...
Answer:
445
Step-by-step explanation:
I think it is 445 because each term is +1 and time is the number of terms you want to find.
So
(2+1) time 2 = 6
(6+1) time 3 = 7
(88+1) time 5 = 445
Show me 2 line up and down are they parallelside by side on a graph
Two (2) lines are considered to be parallel if their slopes are the same (equal) and they do not intersect.
The condition for two parallel lines.In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts.
This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
In conclusion, two (2) parallel lines are shown in the image attached below for more understanding,
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Suppose that the total cost of flatiron TVs is given by the function TC(Q) = 500Q + 300 dollars, where Q is the number of TVs produced. Find TC(10).
The value of TC(10) is 5300 Dollars
Given function is TC(Q) = 500Q +300 dollars
We need to calculate the value for TC (10)
As we know that the equation given is TC(Q) = 500Q + 300 dollars
Q is the number of TVs produced
Therefore, The value of Q is 10 for TC(10)
Substituting the value of Q
in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,
TC(10) = 500(10)+300 dollars
∴ TC (10) = 5000+300 dollars
∴ TC (10) = 5300 dollars
Hence the value of TC(10) is 5300 Dollars
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Please help
Follow the steps to find the area of the shaded region.
First use the formula below to find the area of the whole sector.
Sector Area= ( angle of sector/360). R2
Sector Area = ? Cm^2
Round to four decimal places.
14 cm
46°
14 cm
The area of the sector, to 4 decimal places, is: 78.6794 cm².
How to Find the Area of a Sector of a Circle?Area of sector = ∅/360 × πr².
Given the following:
∅ = 46°Radius (r) = 14 cmArea of sector = 46/360 × π(14²)
Area of sector ≈ 78.6794 cm²
The area of the sector is approximately 78.6794 cm².
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Juliette buys a rosemary plant that is 12 cm and grows 1 cm per week (w). Kimberly starts one from seed but the package says it will grow 2 cm per week. How many weeks will it take for Kimberly’s plant to equal the height of Juliette’s?
\frac{7}{4x}+\frac{5}{4x^2}
4x
7
+
4x
2
5
The expression given can be written as [tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]
What is Expression ?Expression is a mathematical statement consisting of variables , constants and mathematical operators .
It is given in the question to solve the expression
[tex]\rm \dfrac{4x}{7} + \dfrac{5}{4x^2}[/tex]
Taking LCM , LCM = 28x²
[tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]
Therefore the expression given can be written as [tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]
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PLEASE HELP ME!!!!!!!!!
Answer:
option 4 and option 3 are the answers respectively
Answer:
[tex] \sqrt{ {2}^{3} } \\ \sqrt{3} \\ .............[/tex]
Simplify the root below
\frac{a}{b} \sqrt[]{ \frac{405}{324} }
Answer:
(√5)/2
Step-by-step explanation:
To simplify the root, we remove perfect squares.
__
Factors that are the same in numerator and denominator cancel. A square under the radical can have its root brought out of the radical.
[tex]\sqrt{\dfrac{405}{324}}=\sqrt{\dfrac{9^2\cdot5}{9^2\cdot2^2}}=\boxed{\dfrac{\sqrt{5}}{2}}[/tex]
Which of the following is the conjugate of the expression below when x>-2?
6+√x+2
OA. 6+√x+2
B. 6-√x-2
C. 6-√√x+2
D. 6+√x-2
A count of patients needing a blood transfusion in the emergency room at a city hospital would best be modelled by what
distribution?
A. geometric
B. continuous
C. normal
D. Poisson
The count of patients needing a blood transfusion can be modelled as a continuous distribution.
What is a continuous distribution?
A continuous distribution is a distribution that can take on an infinite number of possible values. A continuous distribution is not defined at specific values. The number of patients can be 1 or 10 or 50 or even 0.
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28.6% of city employees ride the bus to work.Last year,29.7% of city employees rode the bus to work.What is the relative change from last year to this year
The number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
28.6% of city employees ride the bus to work. Last year,29.7% of city employees rode the bus to work.
The relative change will be calculated as follows:-
Relative change = Present year data - Last year's data
Relative change = 28.6 - 29.7
Relative change = -1.1%
Therefore the number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.
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PLEASE HELP
Write a rational function that meets the following criteria. Leave your answer in factored form.
• Vertical asymptote at x = -2
• Horizontal asymptote at y = 3 and a hole at x = -3
Answer:
Step-by-step explanation:
A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width of the bedroom
Answer: Length = 13 ft. , Width = 9 ft.
Step-by-step explanation:
Rectangle area = Length x width
Area = 117 ft.
Length = x + 4
Width = x
To solve
(x)(x + 4) = 117
x^2 + 4x = 117
x^2 + 4x - 117 = 0
(x - 9)(x + 13)
x = 9, -13
x = 9 (measurement cannot be negative)
Length
x + 4
9 + 4 = 13
Steps for solving 5(2x-8)= 20 are shown.
5(2x-8)= 20
10x-40-20
10x-40+40-20 + 40
10x = 60
10x 60
10
10
X-6
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property
The one which is not part of the solution is option D. Using the commutative property.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
5(2x-8)= 20
By Using the distributive property
10x-40-20 = 0
Combining like terms
10x-40+40-20 + 40 = 0
Dividing both sides by 10 to isolate the variable
10x = 60
x = 6
Thus, we can see that all the options are included except option D.
So, the one which is not part of the solution is option D. Using the commutative property.
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Solve for the values of x and y.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \:\: units[/tex]
[tex]{\qquad \tt \rightarrow \: y = 20° } [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Two sides and their opposite angles of a Triangle are given equal.
[tex]\large \textsf{ For x :} [/tex]
[tex]\qquad \tt \rightarrow \: 2x - 1 = x + 5[/tex]
[tex]\qquad \tt \rightarrow \: 2x - x = 5 + 1[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \: \: units[/tex]
[tex] \large\textsf{For y :} [/tex]
[tex]\qquad \tt \rightarrow \: 3y - 10 = y + 30 [/tex]
[tex]\qquad \tt \rightarrow \: 3y - y = 30 + 10[/tex]
[tex]\qquad \tt \rightarrow \: 2y = 40[/tex]
[tex]\qquad \tt \rightarrow \: y = 20 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Which of the following is the number if sides a polygon can have to form a regular tessallation?
A. 5
B. 9
C. 3
D. 7
None of the options is true.
Three Different, Regular tessellation is formed 1. if we join regular polygons of side 3, called equilateral triangle,2. Regular polygon of side 4, called Square, and 3. Regular polygon of side,6 called hexagon,
to form a pattern.
What is the polygon?A polygon is said to be regular if all interior angles and all sides are equal.
The regular polygon of side 3, when joined together can be named: 3.3.3.
The regular polygon of side 4, when joined together can be named 4.4.4.
The regular polygon of side 6, when joined together can be named 6.6.6.
So, a regular tessellation is formed, from a regular polygon having,3,4, and 6 Sides.
None of the sides of the polygon, which is given in the option, can be used to form a regular tessellation.
None of the options is true.
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sub to oiVJDF NvlC Nvlkjxdv Nlkj;zsdn
Which is the graph of f(c)=1/4(4)^x?
Answer: The graph shown
Step-by-step explanation:
Another graph of the function is attached in this answer.
which choices are equivalent to the expression 3 square root of 5
Answer:
6.708.
Step-by-step explanation:
hope this helps
