Rounding up, we can say that there were approximately 111 people in the survey.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two expressions separated by an equals sign (=). The expression on the left side of the equals sign is known as the left-hand side (LHS) of the equation, while the expression on the right side is known as the right-hand side (RHS) of the equation. The values of the variables that make the equation true are known as solutions or roots of the equation. Equations can have one or more solutions, or they may have no solutions at all.
Here,
Let's say that the total number of people in the survey is "x". According to the problem, 27 percent of the people chose a meat dish and the remaining percentage (100% - 27% = 73%) chose salads. We can set up the following equation to represent this:
0.73x = 81
To solve for "x", we can divide both sides by 0.73:
x= 81 / 0.73
Using a calculator, we can find that:
x ≈ 110.96
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Today, Isaac needs to walk his dog, water the garden, and feed his fish. DDD is the number of minutes it takes to walk his dog, GGG is the number of minutes it takes to water the garden, and FFF is the number of minutes it takes to feed his fish.
The expression G+(D+F)G+(D+F)G, plus, left parenthesis, D, plus, F, right parenthesis describes the total number of minutes it takes Isaac to do all three tasks. We can also use the expression (G+D)+F(G+D)+Fleft parenthesis, G, plus, D, right parenthesis, plus, F to represent the same quantity.
Match each amount in the situation with the expression that represents it.
For reference:
The dog is an animal, and he needs to go outside to walk.
The garden is a bunch of plants (not an animal), and it is outside.
The fish is an animal, and she lives in a water tank inside.
The correct matching of each amount in the situation with the expression that represents it is:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)Explanations of the expressionsGiven that:
D = number of minutes it takes to walk his dogG = number of minutes it takes to water the garden; andF = number of minutes it takes to feed his fishWe have the situations and expressions that need to be matched such that:
D+FG+DGFTherefore, considering the situation,
The total Minutes of the Inside tasks.The total Minutes of the Outside tasks.The total Minutes of the tasks involving animals.The total Minutes of the tasks not involving animals.The correct matching is given as:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)Read more about mathematical expressions here:
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rut gon cac phan so sau36\63 30\25 24\32 15\30
please please help!!!! this is my last question! thank you!!!
Answer:
B) 5
Step-by-step explanation:
Divide the volume by the formula and you get that 1000=r^3. r is 10, but every second it gains 2 cm, so divide 10 by 2 to get 5
What is the simplest form of \(\sqrt) 3025\)
Answer:
55
Step-by-step explanation:
\(\sqrt{3025} =55^2\\\sqrt{55^2}\\\sqrt{55^2}=55\\=55\)
Hope this helps.
how to determine if a binomial is a factor of a polynomial
A binomial is a factor of a polynomial has been determined by using the
polynomial division method.
To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:
Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.
Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.
Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.
Repeat the division process with the new polynomial obtained from the subtraction step.
Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.
If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.
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11. Write an equation for the parabola with vertex (-3, -7) and point (-2,-5).
Answer:
f(x) = 2(x + 3)² - 7Step-by-step explanation:
f(x) = a(x - h)² + k - an equation for the parabola with vertex (h, k)
f(x) = a(x - (-3))² + (-7) - an equation for the parabola with vertex (-3, -7)
f(x) = a(x + 3)² - 7
The parabola going through point (-2,-5) so if x = -2 then f(x) = -5
- 5 = a(-2 + 3)² - 7
- 5 + 7 = a(1)² - 7 + 7
2 = 1a
a = 2
So an equation for the parabola with vertex (-3, -7) and point (-2,-5)
f(x) = 2(x + 3)² - 7
on what issues did the reformer ignatius of loyola focus
Ignatius of Loyola, the Spanish priest and theologian who founded the Society of Jesus (Jesuits) in the 16th century, focused on several key issues during the period of the Counter-Reformation.
These issues can be broadly categorized into spiritual, educational, and institutional reforms.
Spiritual Reforms: Ignatius emphasized the importance of personal piety and spiritual discipline. He promoted the practice of spiritual exercises, including meditation, prayer, and self-examination, to cultivate a deep and intimate relationship with God. Ignatius encouraged individuals to reflect on their sins and seek forgiveness through confession and penance.
Educational Reforms: Ignatius recognized the power of education in shaping individuals and society. He established schools and universities to provide a comprehensive education that combined intellectual rigor with spiritual formation. The Jesuits placed great emphasis on academic excellence, encouraging critical thinking, the pursuit of knowledge, and the integration of faith and reason.
Pastoral Reforms: Ignatius focused on improving the quality of pastoral care and religious instruction. He trained his followers to be skilled preachers and spiritual directors, equipping them to guide and support individuals in their spiritual journey. Ignatius also emphasized the importance of catechesis, ensuring that people received proper religious education and understood the teachings of the Catholic Church.
Missionary Work: Ignatius and the Jesuits had a strong missionary zeal. They undertook extensive missionary endeavors, particularly in newly discovered territories during the Age of Exploration. They sought to bring Christianity to non-Christian lands and convert indigenous populations to Catholicism. The Jesuits established missions, schools, and hospitals in various parts of the world, playing a significant role in spreading Catholicism.
Overall, Ignatius of Loyola's reforms aimed to strengthen and revitalize the Catholic Church in response to the challenges posed by the Protestant Reformation. His focus on personal spirituality, education, pastoral care, and missionary work contributed to the renewal and expansion of the Catholic Church during the Counter-Reformation.
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a square courtyard has sides that are 10 ft long what is the courtyard area
Answer:
A=100 sq ft
Step-by-step explanation:
it is a square, so w=l=10 ft
A=w*l=10*10=100 sq ft
If $300 is invested at a rate of 5% per year and is compounded quarterly, how much will the investment be worth in 20 years?
Use the compound interest formula A equals P times the quantity 1 plus r divided by n end quantity raised to the power of n times t..
$810.45
$515.28
$384.61
$109.67
Answer:
(a) $810.45
Step-by-step explanation:
You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.
Compound interestThe compound interest formula tells you the value is ...
A = P(1 +r/n)^(nt)
where P = 300, r = 0.05, n = 4, t = 20.
Using the given parameters in the given equation, you find the account value to be ...
A = $300(1 +0.05/4)^(4·20) ≈ $810.45
__
Additional comment
The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.
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M∠4=(3x+7)°, and m∠5=(9x-43)°, find m∠UPS
To find the measure of ∠UPS, we need to determine the values of ∠4 and ∠5. Once we have those values, we can add them together.
Given:
∠4 = (3x + 7)°
∠5 = (9x - 43)°
To find the values of ∠4 and ∠5, we need more information or equations. Without additional information or equations, we cannot solve for the measures of ∠4 and ∠5, and therefore we cannot find the measure of ∠UPS.
If you have any additional information or equations related to ∠4, ∠5, or ∠UPS, please provide them so we can further assist you in finding the measure of ∠UPS.
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-4( x + 2) = 16 rwiogin24giu3rg0i43ng034
Answer:
x = -6
Explanation:
-4(x + 2) = 16
-4x - 8 = 16
-4x = 16 + 8
-4x = 24
x = 24 / -4
x = -6
Answer:
-4( x + 2) = 16
First use the Distributive Property
-4x + ( -8) = 16
which can also be changed to -4x - 8 = 16
Then add 8 on both side to the equation ( add 8 to -8 and 16)
The equation becomes:
-4x = 24
Divide -4 on both sides and you get -6
relative frequency distributions are generally more useful than frequency distributions when
Relative frequency distributions are generally more useful than frequency distributions when comparing data sets of different sizes.
Frequency distributions can show the actual number of observations falling in each range or the percentage of observations. In the latter sample, the distribution is called a relative frequency distribution.
Frequency distribution tables can be utilised for both categorical and numeric variables. Continuous variables should only be used with class intervals, which will be described shortly.
A relative frequency distribution displays the proportion of the total number of observations associated with each value or class of values and is related to a probability distribution, which is extensively used in statistics.
--This question is incomplete; the complete question is
"Relative frequency distributions are generally more useful than frequency distributions when _____."--
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What is the value of this expression when c= -4 and d= 10
1/4 (c^3 + d^2)
А. 2
B. 9
C. 21
D. 41
Answer:
9
Step-by-step explanation:
\( \frac{1}{4} ( {c}^{3} + {d}^{2} ) \: when \: c = - 4 \: and \: d = 10 \\ = \frac{1}{4}[ {( - 4)}^{3} + ( {10}^{2} )] \\ = \frac{1}{4}( - 64 + 100) \\ = \frac{1}{4} \times 36 \\ = \frac{36}{4} \\ = 9\)
which represents a function?
it is B because the x value does not repeat twice
Answer:
the one in the middle
Step-by-step explanation:
why because if you see the x axis when you go over it the one that has a funtion dosent have two of the same number but the one that dosent haves two of the same numbers
a friend comes up to you and offers you a free ticket to a dodgers game that night, and you decide to attend the game. the game takes five hours and costs you $25 for transportation. if you had not attended the game, you would have worked at your part-time job for $12 an hour. what is the cost to you of attending the game?
The cost to you of attending the game instead of going to work is 85$
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Transportation cost = 25$Hours paid for work = 12$ per hourTime of the game = 5 hCalculating how much will cost attending the game:
Total cost = (time of the game*Hours paid for work) + Transportation cost
Total cost = (12*5) + 25
Total cost = 85$
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Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Answer: It is not possible to determine whether rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin just by looking at the statement provided.
A dilation is a transformation that changes the size of a shape but not its shape or orientation. In a dilation, the center of dilation is a fixed point and all other points move away from or towards it by a scale factor.
The statement provided does not include any information about the scale factor, the coordinates or measurements of the rectangle's vertices or any other information that would allow to determine if EFGH is the result of a dilation of ABCD. The statement only indicates that the center of dilation is at the origin.
In order to determine if rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin, we would need additional information such as the scale factor, the coordinates or measurements of the rectangle's vertices, and the direction of dilation (enlargement or reduction)
It's worth noting that a dilation with center of dilation at origin can be performed only if the shape is symmetric.
Step-by-step explanation:
write the equation of the line perpendicular to the given line y= -2/3 x + 1
since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)
using the formula y=mx+c
y=2/3x +1
m1=2/3
m2= -1/2/3
m2= -3/2
the slope of the second line is -3/2 and it passes through the point(3,-2)
using the formula y-y1 = m(x-x1)
y-(-2)= -3/2(x-3)
y+2= -3/2(x-3)
multiply both sides by 2
2(y+2) = -3(x-3)
2y+4 = -3x+9
2y = -3x+5
y= -3/2x + 5/2
Combine the like terms to create an equivalent expression.
-y+6y
Answer:
Step-by-step explanation:
6y - y = y(6 - 1) = y * 5
The answer is 5y.
Determine the values of X, Y and Z on the following number line:
HH
X -11 Y 9 Z
RIGHT ANSWER GETS BRAINLIEST!!!!!
Answer:
B and C
Step-by-step explanation:
Tahnks for the brainlt
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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what does a z-score tell us about an individual observation in a data set? it is the number of standard deviations an observation is away from the mean. the midpoint of the sorted sample data set the sum of all data values divided by the number of data items. the average. the most frequently occurring data value in the set. none of the above
A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.
A z-score is the value of an observation expressed in standard deviation units. The sign of the score indicates whether it is above (positive) or below (negative) the mean, and the value quantifies how many standard deviations the score is from the mean.
The purpose of z-scores is to identify and describe the exact location of each score in a distribution & to standardize an entire distribution to understand & compare scores from different tests.
Z-scores or Z-statistics represent a statistical technique of measuring the deviation of data from the mean. There are different formula used for Z-score or Z-statistics depending upon what is measured. Z-statistics is generally used with Z-test which is a hypothesis testing statistical technique.
Therefore,
A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.
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what does the symmetric bell shape of the normal curve imply about the distribution of individuals in a normal population?
Answer:
Answer and Explanation: The symmetric bell shape of the normal curve implies that the skewness of the distribution of the data is 0, and most of the observation is located at the middle of the distribution. The shape of the normal distribution is not positive and negative skewed, the shape seems to be bell-shaped.
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a church offering last sunday was $6,500.one year ago it was $4,800.last sunday's offering is what percent of the one a year ago?round to the nereast percent
Answer:
135%
Step-by-step explanation:
To find the percentage of last Sunday's offering compared to the offering from a year ago, we can use the following formula:
percentage = (last Sunday's offering / offering from a year ago) x 100%
Plugging in the given values, we get:
percentage = (6,500 / 4,800) x 100%
percentage = 1.35416666667 x 100%
percentage = 135.42%
Rounding to the nearest percent, we get:
percentage = 135%
Therefore, last Sunday's offering was 135% of the offering from a year ago.
Answer:62.5%
I think this is the answer it might not be, if not i am so sorry.
Find the volume of the figure
Answer:
15 yards³
Step-by-step explanation:
Volume = 1/3 × [Base Area] × Height
1/3×[3×3]×5 yards³
1/3×9×5 "
3×5 "
15 "
Answer:
15yd³
Step-by-step explanation:
volume = L x W x H
3
= 3 x 3 x 5
3
= 45
3
= 15yd ³
1. Use the clues to identify the location of the post office, hospital, mall, nail salon, park, pet store, library, and gas station. (7 points)
- The hospital is at letter c and makes alternate interior angles with the mall.
- The post office and hospital make same side interior angles.
- The mall makes a corresponding angle with the nail salon.
- The pet store and the gas station form alternate exterior angles.
- The pet store forms a vertical angle with the park.
Letter
_____ Gas station
__C__ Hospital
_____ Library
_____ Mall
_____ Nail salon
_____ Park
_____ Pet store
_____ Post Office
Answer:
h Gas station
C Hospital
g Library
f Mall
b Nail salon
d Park
a Pet store
e Post Office
Step-by-step explanation:
The given parameters are;
The hospital at "c" makes an alternate interior with the mall
Therefore, the mall is at location "f"
The post office and the mall make side by side interior angles
Therefore, the post office is at location "e"
The mall makes a corresponding angle with the nail salon
Therefore, the nail salon is at location "b"
The pet store ang the gas station form alternate exterior angles
The pet store and the gas station is at location "a" and "h"
The pet store forms vertical angle with the park
The park is at "d"
Therefore, we have;
h Gas station
C Hospital
g Library
f Mall
b Nail salon
d Park
a Pet store
e Post Office
PLEASE SOMEBODY HELP. I NEED ANSWERS . HOMEWORK IS DUE TODAY!!!!
Step-by-step explanation:
hint: anthing with a 0 on top is always equal to 1
example: 3⁰ = 1, 4⁰ = 1
1 16⁰ = 1
2. 4^-2 = 8
3. 3⁻³= -3 x -3 x -3 = -27
4. 8⁻⁴ = -8 x -8 x -8 x -8 = 4,096
5. 1/ 2³ = 2³ = 8
6. 4/ ⁻³ = 2²/2⁻⁶ = 2⁸
7. 3 x 8⁰ = 3 x 1 = 3
8. 2 x 2⁻² = 2⁻¹ = 1/2 or 0.5 0r 2⁻¹
9. (-7)⁻² = 1/49
10. 9⁰ = 1
11. 2/2⁻¹ = 4
12. 8⁻²/ 80 = 2⁻⁶ or 1/64
13. 5 x 6⁰ = 5 because 6⁰ = 1 and 5 x 1 = 5
14. (-4.9)⁰ = 1
15. 7⁻²/7⁻¹ = 1/7 or 7⁻¹
16. x⁻⁸ = 1/ x⁸
17. xy⁻³ = X/y³
18. a⁻⁸b = b/a⁸
19. m²n⁻⁹ = m²/ n⁹
20. 1/x⁻⁷ = x⁷
21. 3/ a⁻⁴ = 3a⁴
22. 5/d⁻³ = 5d³
23. 6/ r-8s⁻¹ = 6s/ rs-8
24. 8a⁻³b²c⁻² = 8b²/a³c²
If M = 5(x + 1) and N = (6x - 3) and M- N = 10, determine the values of M and N.
The value of M and N from the given expression is -10 and -21 respectively
Sum of functionsSum of functions is the addition of expression. Given the expression below;
M = 5(x + 1) and;
N = (6x - 3)
Take the difference of the expressions
M - N = 10
Substitute
5(x+1) - (6x-2) = 10
Expand the expression to have:
5x + 5 -6x + 2 = 10
5x - 6x + 5 + 2 = 10
-x + 7 = 10
-x = 10 - 7
-x = 3
x = -3
Determine the value of M
M = 5x + 5
M = 5(-3) + 5
M = -15 + 5
M = -10
Determine the value of N
N = 6x - 3
N = 6(-3) - 3
N = -18 - 3
N = -21
Hence the value of M and N from the given expression is -10 and -21 respectively
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Tyler spent a relaxing afternoon watching movies. He watched movies for 2 1/2 hours. His brother watched the movies for 3/4 of the amount of time that Tyler did. What equation can be used to find out how much time Tyler’s brother spent watching movies?
Answer:
1 3/4
Step-by-step explanation:
Frist he turned the proper fraction into an inproper which came to be 5/2. Then he subtracted 5/2 out of 3/4 Then after that you get 7/4 but then you make it a proper fraction you will get 1 3/4
Answer:
3/4 X 2 1/2
Step-by-step explanation:
Is this circumference or Area ?
Plz help me plz I beg u no links olz
Answer:
This would be area because you are trying to find the total area that the sprinkler water touched and not the perimeter(circumference) of it
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