Answers
80+39x =4,500
Take away 80 from both sides
39x=4,420
Divide by 39
X= 113.333…..
So by rounding
113 people can be invited at most
Related Questions
A polynomial ppp is graphed. What could be the equation of ppp?
Choose 1 answer:
Answers
A function’s roots are determined when y=0 such that an equation for x input will generate y=0 output. In other words, the roots are where the function crosses the x-axis. Remember, when a function touches the x-axis, that root has multiplicity. When a function intercepts the x-axis at a point, there is multiplicity of 1. Therefore roots -3 and 2 touch the x-axis, so there is multiplicity of 2. The root -1 intercepts the x-axis, so it has multiplicity 1.
A linear function h models a relashinship in which the dependent variable decreases 2 units for every 5 units the independent variable increase. Graph h when h(0)=4
Answers
By using slope intercept form of equation of line, the graph of
h(x) = [tex]-\frac{2}{5}x + 4[/tex] has been shown
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Let the independent variable be x and dependent variable be h(x)
The dependent variable decreases 2 units for every 5 units the independent variable increase.
Slope = [tex]-\frac{2}{5}[/tex]
So,
h(x) = [tex]-\frac{2}{5}x + c[/tex]
Now,
h(0) = 4
So, c = 4
h(x) = [tex]-\frac{2}{5}x + 4[/tex]
The graph has been attached here-
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Assume that a sample is used to estimate a population mean
μ
. Find the 90% confidence interval for a sample of size 52 with a mean of 85.5 and a standard deviation of 12.3. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.
Answers
Confidence interval for given data is (82.156,88.843)
What is confidence interval?The confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.
The alpha value determines the confidence level, which is the proportion of times you anticipate being able to recreate an estimate between the top and lower boundaries of the confidence interval.
general form of a confidence interval is:
point estimate + Z SE (point estimate)
Formula for confidence interval is given by
[tex]X[/tex] ± [tex]Z\frac{s}{\sqrt{n} }[/tex]
Where:
X is the mean
Z is the chosen Z-value from the table above
s is the standard deviation
n is the number of observations
In given ques
X = 85.5, Z=1.960, s =+ 12.3, n= 52
confidence interval = 85.5± (1.960×12.3/√52)
(82.156,88.843)
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A solid object is made with the combination of a cylinder and a cone having same radii. The height of the cylinder and the slant height of the cone are 30 cm and 26 cm respectively. If the total cost of painting the total surface of the solid object at the rate of Rs 210 per 100 sq. cm is Rs 6336, find the height of the cone.
Answers
The total surface area of the solid object is the sum of the surface area of the cylinder and the surface area of the cone.
The surface area of the cylinder is 2πr(r+h), where r is the radius of the cylinder and h is its height.
The surface area of the cone is πr(l+r), where r is the radius of the cone and l is its slant height.
Since the cylinder and the cone have the same radius, we can call this radius r.
The total surface area of the solid object is therefore 2πr(r+h) + πr(l+r).
We are told that this total surface area is equal to 6336/210 = 30 sq. cm.
Thus, we can set up the equation: 2πr(r+h) + πr(l+r) = 30.
We are trying to find the value of l, which is the slant height of the cone. We are given the value of h, which is the height of the cylinder. We can substitute this value into the equation to get:
2πr(r+30) + πr(l+r) = 30.
This equation can be rearranged and solved for l to find the slant height of the cone.
l = sqrt(900 - 60r).
Since we are given that the slant height of the cone is 26 cm, we can substitute this value into the equation to solve for the radius of the cone:
26 = sqrt(900 - 60r)
Solving for r, we find that the radius of the cone is 15 cm.
Substituting this value back into the equation for the slant height of the cone, we find that the height of the cone is:
l = sqrt(900 - 60(15)) = sqrt(300) = 17.67 cm.
Thus, the height of the cone is approximately 17.67 cm.
sam ran 63756 feet in 70 minutes whats samns rate in mph
Answers
Answer:
10.35 miles/hour
Step-by-step explanation:
Hence, Sam ran at the rate of 10.35 miles/hour .
A hose fills a hot tub at a rate of 3.49 gallons per minute. How many hours will it take to fill a 343-gallon hot tub? Question content area bottom Part 1 It will take enter your response here hours to fill the hot tub. How many hours does it take to fill the hot tube?
Answers
If hose fills a hot tub at a rate of 3.49 gallons per minute. Then 1.64 hours will it take to fill a 343-gallon hot tub
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A hose fills a hot tub at a rate of 3.49 gallons per minute.
We need to find how many hours will it take to fill a 343-gallon hot tub
3.49/1=343/x
Apply cross multiplication
x=343/3.49
x=98.28 minutes
1 hr=60 minutes
So divide 98.28/60
1.64
Hence, it takes 1.64 hours to fill the hot tub.
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which of the following is the best approximation of the volume of this cylinder
Radius=8
Height=3
Answers
Answer:
..........................
Using the following year-end information for Calvin's Clothing, calculate the current ratio and acid-test ratio for the business:
Cash$52,000
Short-term investments 12,000
Accounts receivable 54,000
Inventory 325,000
Prepaid expenses 17,500
Accounts payable 106,500
Other current payables 25,000
Answers
The current ratio and acid-test ratio for the business is 3.50 and 0.90.
What is Working Capital?
Working capital is a gauge of a company's liquidity. This is crucial because it aids the business in making decisions about its current assets and liabilities.
Current ratio = Current Assets / Current Liabilities
Current ratio = 460,500 / 131,500
Current ratio = 3.5 times
Quick ratio
Quick ratio = Quick Assets \ Current Liabilities
Quick ratio = 118,000 / 131,500
Quick ratio = 0.90
Cash 52,000
Short-term investments 12,000
Accounts receivable 54,000
Inventory 325,000
Prepaid expenses 17,500
Total Current Assets 460,500
Total Quick assets 118,000
Accounts payable 106,500
Other current payables 25,000
Total Current Liabilities 131,500
Quick assets include Cash, Short term investments and accounts receivables
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A box is filled with 5yellow cards, 8blue cards, and 7green cards. A card is chosen at random from the box. What is the probability that the card is not blue?
Answers
Probability that a card is chosen is not blue is 3/5
What is Probability?Probability means possibility.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty.topic. One is the probability of every event in a sample space.
According to the probability formula, the likelihood that an event will occur is equal to the proportion of favorable outcomes to all outcomes.
probability that an event will occur P(E) = Number of favorable outcomes/Total Number of outcomes
Total number of cards in the box is 5+8+7=20 cards
Number of cards that are not not blue = 5 + 7 = 12 cards
Probability that a card is chosen is not blue = Number of favorable outcomes/Total Number of outcomes = 12/20 = 3/5
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Probability that a card is chosen is not blue is 3/5
What is Probability?
Probability means possibility. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. topic. One is the probability of every event in a sample space.
According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.
probability that an event will occur P(E) = Number of favorable outcomes/Total Number of outcomes
Total number of cards in the box is 5+8+7=20 cards
Number of cards that are not not blue = 5 + 7 = 12 cards
Probability that a card is chosen is not blue = Number of favorable outcomes/Total Number of outcomes = 12/20 = 3/5
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Please help me with this problem
Answers
a) The null hypothesis is: [tex]H_0: p \leq 0[/tex]
b) The alternative hypothesis is: [tex]H_1: p > 0[/tex]
c) The test statistic is: z = 9.71.
d) The correct option is of: A. Yes.
e) The confidence interval is of: 0.0819 < p < 0.1336.
What are the hypothesis tested?
At the null hypothesis, it is tested if there is not enough evidence that the proportion for men is greater, that is, the subtraction is not greater than 0:
[tex]H_0: p \leq 0[/tex]
At the alternative hypothesis, it is tested if there is evidence that the proportion for men is greater, that is, if the subtraction is greater than 0, hence:
[tex]H_1: p > 0[/tex]
We have a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01, hence the critical value is of:
z = 2.327.
Thus the decision rule regarding the test statistic is given as follows:
z < 2.327 -> not enough evidence of difference -> do not reject the null hypothesis.z > 2.327 -> enough evidence of difference -> reject the null hypothesis.What are the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given as follows:
Men: [tex]p_m = \frac{88}{800} = 0.11, s_m = \sqrt{\frac{0.11(0.89)}{800}} = 0.0111[/tex]Women: [tex]p_w = \frac{6}{2750} = 0.0022, s_w = \sqrt{\frac{0.0022(0.9978)}{2750}} = 0.0009[/tex]Hence, for the distribution of differences, the mean and the standard error are given as follows:
Mean: p = 0.11 - 0.0022 = 0.1078.Standard error: s = sqrt(0.0111² + 0.0009²) = 0.0111.What are the test statistic and the conclusion:The test statistic is given by the division of the mean by the standard error of the sampling distribution of the difference of sample proportions, hence:
z = 0.1078/0.0111 = 9.71.
z > 2.327 -> enough evidence that the proportion is greater.
What is the confidence interval?The confidence interval is obtained as the mean plus/minus the multiplication of the standard error and of the critical value.
Then the bounds of the interval are:
Lower bound: 0.1078 - 2.327 x 0.0111 = 0.0819.Upper bound: 0.1078 + 2.327 x 0.0111 = 0.1336.More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
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The plane is perpendicular to the axis but does not go through the vertex.
The plane intersects the double cone at only the vertex.
The plane is not intersecting the vertex, not parallel to the axis, not perpendicular to the axis, not parallel to the side of the cone, and it intersects only one cone.
The plane is tangent to both of the cones.
answers:
line
point
circle
elipse
match these
Answers
The plane is perpendicular to the axis but does not go through the vertex. The plane intersects the double cone at only the vertex is ellipse.
How to identify the properties of an ellipse?A planar curve that has two focal points is normally called an ellipse on the condition that at every point on the curve, it will be seen that the sum of the two distances from the focal points is constant. This generalizes the shape of a circle, which is a unique variety of an ellipse whereby the two focus points coincide.
The plane is said to not be intersecting with the vertex, not parallel to the axis nor perpendicular to the axis, then not parallel to the side of the cone, but it intersects only one cone is called a circle.
A circle is defined as a closed, two-dimensional object whereby every point in the plane is seen to be equally spaced from a central point. The line of reflection symmetry is seen to be formed by all lines that transverse the circle. Additionally, every angle has rotational symmetry around the center.
Thus, the conclusion is that the first two options are properties of an ellipse.
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Help i dont know how to do this problems.
Answers
The value of x = 9 (back)
The value of x = 12 (orange)
The value of x = 8 (purple)
The value of x = 12.75 (green).
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
10 and 2x - 8 are parallel lines.
10 = 2x - 8
10 + 8 = 2x
18 = 2x
x = 9 (black)
7 and -17 + 2x are the two parts of a line separated by a midpoint.
7 = -17 + 2x
7 + 17 = 2x
2x = 24
x = 12 (orange)
7 and x + 15 are two parts of a line separated by a midpoint.
7 = x + 15
7 - 15 = x
x = 8 (purple)
m∠2 = 4x + 8
one angle = 45°
Other angle = 180 - 104 = 76°
The sum of the triangles is 180.
45 + 4x + 8 + 76 = 180
4x = 180 - 129
4x = 52
x = 12.75 (green)
Thus,
The value of x = 9 (back)
The value of x = 12 (orange)
The value of x = 8 (purple)
The value of x = 12.75 (green).
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Help!
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Slope = -8, passing through (-4,-9)
Answers
Answer:
-12,-17
Step-by-step explanation:
What is equivalent to 2
Answers
Answer:
4 6 8 10
Are the ans
Step-by-step explanation:
Plus 2 each time
Which of the following is an equivalent form of the compound inequality -33> -3x - 6 ≥
-36?
Answers
The equivalent form of the compound inequality is -9>-x≥-10.
What is a compound inequality?A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. It is when the solution sets for the various statements cross over or intersect. The conjunction "or" means that the entire compound sentence is true as long as either of the two statements is true. It consists of the union or combination of the solution sets for the various statements. A conjunction is a compound inequality that contains the word "and." Even though "and" and "or" are considered to be conjunctions of speech, their meanings in mathematics are distinct from their grammatical counterparts. The conjunction (part of speech) "or"—when used to demonstrate this point—is whenever used in a compound inequality, it creates a disjunction, as the name suggests. Simply keep in mind that "con" stands for "with another" and "dis" for "one OR the other."
Calculation:Given -33>-3x-6≥-36.
Dividing everything by 3 we get -11>-x-2≥-12.
Now adding to every side we get compound inequality as -9>-x≥-10.
The equivalent form of the compound inequality is -9>-x≥-10.
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Learning geometry is tricky but test your knowledge for sure. Please help me. Thank you!!!
Answers
The area of the paper that remains is 375.04cm².
What is an area?
The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Here,
We take it that the semicircles cover the full width of the paper.
So the radius is 16/2 = 8 cm
Since there are two of them, the area is full circle.
First, we find the area of the rectangle before the cuts were made.
Area = L * W
L = 36
W = 16
Area = 36×16 = 576 cm²
Now, we find the area of the circle cutouts.
r = 8
Area = pi * r²
Area = 3.14 * 8²
Area = 3.14 * 64
Area = 200.96cm²
Now, we find the total area left
Total Area Left = rectangle - circle
Total Area Left = 576 - 200.96
Total Area left = 375.04cm².
Hence, the area of the paper that remains is 375.04cm².
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What operation do you use when you distribute the number that is outside the
parenthesis to all of the numbers that are
inside the parenthesis?
Answers
Answer:
multiplication
Step-by-step explanation:
you multiply. I know this because I am in pre algebra right now and we learned about this again. If you are doing division then it’s the opposite same for subtraction as well as addition.
Answer to this required:
Answers
120=(p*3*5)/100
120*100=p*15
12000/15=p
Principal amount is 800
Amount received at end=800+ 120
920
Write this set of rational numbers from lest to greatest -11 3/4, 7, -7, 13, -13
Answers
Write this set of rational numbers from least to greatest -11 3/4, 7, -7, 13, -13:
Answer:
-13 , -11 , -7 , 3/4 , 7 , 13
a. What is the equation of the line that is perpendicular to the graph and intercepts the y-axis at (0,-6)
b. What is the equation of the line that is perpendicular to the graph and intercepts the y-axis at (2,-2)
Answers
a. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (0,-6) is y = -1/m * x - 6
b. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (2,-2) is y = -1/m * x - 2
what is intercepts?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
a. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (0, -6) can be written as:
y = mx + b
where m is the slope and b is the y-intercept.
Since the line is perpendicular to the graph, the slope of the line is the negative reciprocal of the slope of the graph. The y-intercept is (-6).
Therefore, the equation of the line is y = -1/m * x - 6
b. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (2, -2) can be written as:
y = mx + b
where m is the slope and b is the y-intercept.
Since the line is perpendicular to the graph, the slope of the line is the negative reciprocal of the slope of the graph. The y-intercept is (-2).
Therefore, the equation of the line is y = -1/m * x - 2
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5) A woman wants to borrow $12,000 to buy a car. She wants to repay the loan by monthly installments
for 4 years. If the interest in the loan is 10.5% per year, compounded monthly, what is the amount of
each payment?
Answers
Answer:
to much money to buy a car I try to work it down to 10k
Δ PQR, P=(4 x+11)°, m∠Q=(2 x+1)°, and m∠R=(7 x-14)°. Find m∠P.
Answers
Answer:
67°
Step-by-step explanation:
Th sum of the interior angles of a triangle is 180. Set the measurements of the three sides to 180 and solve for x. Then substitute in the value for x in 4x +11
4x + 11 + 2x + 1 + 7x -14 = 180 Combine like terms
13x - 2 = 180 Add 2 to both sides
13x = 182 Divide both sides by 13
x = 14
Plug this in for x
4x + 11
4(14) + 11
56 + 11
67
the chart shows the number of points different players scored during a game. what is the ratio of marcus's points to scott's points? responses
Answers
The ratio of Marcus's point to Scott's point will be = 1 : 2
According to the table given attached below,
We can find the ratio of the squares,
First, let us know about the definition of Ratio and Proportion.
The ratio is defined as the comparison between the two similar quantities
The fraction can also be represented as a ratio using the ' : ' sign
For example, let us consider two numbers a and b
In fraction, we could write it as = [tex]\frac{a}{b}[/tex]
Writing it as a ratio = a : b
According to the table given below,
Marcus's points = 7
Scott's points = 14
The ratio of Marcus's points to Scott's points = [tex]\frac{Marcus}{Scott}[/tex]
14 / 7
2 / 1
2 : 1
Therefore, The ratio of Marcus's point to Scott's point will be = 1 : 2
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Which box-and-whisker plot represents this data: ?
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from 18 to between 24 and 26 with no median value.
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 and between 26 and 28 with a median of 22.
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 8 and 10 to 28 with a median between 20 and 22.
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 to between 26 and 28 with a median between 20 and 22.
Answers
A box-and-whisker plot which represents the given data is: B. A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 and between 26 and 28 with a median of 22.
What is a box-and-whisker plot?In Mathematics, a boxplot is also referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:
Minimum = 6.First quartile = 13.Median = 22.Third quartile = 27.5.Maximum = 30.By critically observing the box-and-whisker plots (see attachment), we can logically deduce that boxplot A correctly represents the given data set.
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Complete Question:
Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?
a dining hall had a total of 20 tables— some long rectangular tables and some round ones. Long tables can seat 10 people. Round tables can seat 8 people. on a busy evening, all 182 seats at the tables are occupied. a write a system of equations to represent this scenario
Answers
The solution of linear equations in two variables gives the following results.
The number of long tables = 11The number of round tables = 9 What are linear equations in two variables?A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Given:
Total number of tables in dining hall = 20 people
The number of people who can seat at long table = 10 people
The number of people who can seat at the round table = 10 people
According to the question, let’s assume a linear equation in two variables
number of long tables = x
number of round tables = y
⇒ x +y=20 ………… (1)
⇒10 x + 8 y=182 ………...(2)
Multiply equation (1) by 8 and subtract it from equation 2.
⇒ 10x+8y=182 ………… (2)
⇒ 8x+8 y=160 ………....(1)
⇒2x=22
⇒x=11
now put the value of x in equation (1) we get,
⇒11+y=20
⇒y=20-11
⇒y=9
Therefore, the number of long tables = 11
The number of round tables = 9
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35/17 as rounded decimal tenths place
Answers
What is the inverse of 12/(x-1)
100 points please I really want to figure this out
Answers
The inverse of the expression represented as 12/(x-1) is (12/x) + 1
How to determine the inverse of the expression?From the question, we have the following parameters that can be used in our computation:
12/(x - 1)
The given parameter is an expression
Also, we can see that the above expression is a quotient expression
So, we start by expressing it as an equation
This is represented as
y = 12/(x - 1)
Swap/Switch the positions of the variables x and y
So, we have the following representation
x = 12(y - 1)
This gives
y - 1 = 12/x
Make y the subject
y = (12/x) + 1
Hence, the inverse is (12/x) + 1
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six pounds of potatoes cost 12.90 how much would 3.5 pounds cost
HELP
Answers
Answer:x=$7.31
Step-by-step explanation:6lbs
$12.90 x
6lbs x=($12.90 )(3.4 lbs)
6lbs x=43.86$lbs
6lbs x/6lbs=43.86$lbs/6lbs
What is the probability of getting a ten or a jack from a deck of pocker cards
Answers
The probability of getting a 10 or a jack from a deck of poker cards (52 cards) is 15.38%.
What is probability?Probability is concerning about numerical description
Is how likely is an event is occur or how likely it is true.
As per the given sequence -
there are four 10 cards and four jack cards respectively
4+4=8
If you want to get one from the 52 cards, so it's 8 out of 52. 8/52
To calculate the percentage, you must multiply 8 by 100, then divide by 52.
Thus,
8*100/52=15.38
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A train travels for 3.75 hours at 80 miles an hour. Use the formula d = r. t, where
d = distance, r = rate, and t = time, to find the distance the train traveled.
The distance traveled is
miles.
The solution is
Answers
The distance traveled by train would be 300 miles.
What is the relation between speed, distance, and time?
You can use the equivalent formula d = rt which means distance equals rate times time. To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
A train travels for 3.75 hours at 80 miles per hour.
The distance traveled = speed * time
= 3.75 * 80
= 300 miles.
Hence, the distance traveled by train would be 300 miles.
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