A stadium has 20,000 reserved seats and 25,000 general admission seats. if reserved seats are $17.50 and general admission seats are $10.75. The total money taken is $618750
a stadium has 20,000 reserved seats
cost of reserved seats are $17.50
total cost of reserved seats are 20000 x $17.50
total cost of reserved seats = $350,000
the stadium has 25,000 general admission seats
cost of general admission seats are $10.75
total cost of general admission seats is 25000 x $10.75
total cost of general admission seats = $268,750
total money taken if tickets of all seats are sold is summation of cost of reserved seats and general seats
= $ 350000 + $268750 = $618750
Therefore the total money taken is $618750
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Divide.
3 15/16 ÷ 2 1/4
pls i will give 25 points
Step-by-step explanation:
here is your answer and marking me as brainlist
thank you
Answer 53/36
Step-by-step explanation:
If you want it in exact form it's 53/36
If you want it in mixed number form it's 1 17/36
If you want it in decimal form it's 1.472
How do we derive the of laws of radicals?
Add 12 to me. Then add another 12. If you subtract 9 and then add 7, you get 24. What number am I?
Answer:
2
Step-by-step explanation:
x+12+12-9+7 = 24
x+22 = 24
x = 2
PLSS I NEED HELP I NEED HELP SOMEONE SAVE ME
Answer:
sorry but are you dyin why do u need help why do you need someone to save you just say i need answers to this equation pls
Please help me!
If you wanted to find the difference of 6/25 - 4/5, what common denominator should you choose? Why?
Answer:
Choose 1/25 as the common denominator
Step-by-step explanation:
1/25 is the lowest number that both existing denominators can be factored into.
6/25 would remain the same.... 6/25
4/5 would become 20/25..... multiply the top and bottom by 5
So 6/25 - 20/25 = - 14/25
The sum of two times a number and 5 is greater or equal to 9
Answer:
greater than 9 is the answer
Step-by-step explanation:
2x+5=11
If f varies jointly as q^2 and h, and f=96 when q=4 and h=3, find k
The value of k in the joint variation equation is 2.
To solve this problem, we need to determine the constant of variation, denoted as k, in the joint variation equation.
The joint variation equation is expressed as f = k * q^2 * h, where f is the dependent variable, q is one of the independent variables, h is another independent variable, and k is the constant of variation.
Given that f = 96 when q = 4 and h = 3, we can substitute these values into the equation to find the value of k.
96 = k * 4^2 * 3
96 = 16k * 3
96 = 48k
k = 96 / 48
k = 2
Therefore, the value of k is 2. This means that f varies jointly as q^2 and h with a constant of variation equal to 2.
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A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.
a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)
b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)
c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..
How to solveA vending machine automatically pours soft drinks into cups.
The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.
Examine figure 7.- and answer the following questions.
a) estimate the probability that the machine will overflow an 8oz cup.
Procedure:
Determine the z-score for 8
z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1
P(x>8) = P(z>1) = 0.1587..
-----------------------
b) Estimate the probability that the machine will not overflow an 8oz cup.
P(z<1) = 1 - 0.1587 = 0.8413..
-----------------
c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..; Rounded down you get 134 cups
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3 mi 1,622 yd − 3 mi 1,038 yd =
mi
yd
Answer: 584 yds
Step-by-step explanation:
3mi-3mi=0
1622-1038=584yds
Find a number, twice of which decreased by 7 gives 65.
Answer:
Number = 36
Step-by-step explanation:
Given that,
A number twice of which decreased by 7 gives 65.
Let the number be x.
Twice of the number is 2x.
ATQ,
2x - 7 = 65
We can solve the above equation.
Adding 7 both sides.
2x-7+7 = 65 +7
2x = 72
x = 36
So, the required number is 36.
Please help !! If you help i’ll give 5 stars
Answer:
Imaginary
Step-by-step explanation:
How do I get the answer 45 from the numbers 3, 7, 12, 2
(3×7)+(12×2) is the expression using the given numbers, where the result is equal to 45.
The given numbers are 3, 7, 12, and 2.
We need to form an expression using the given numbers, where the result is equal to 45.
What is the numerical expression?A numerical expression is a mathematical statement involving only numbers and one or more operation symbols.
Now, (3×7)+(12×2)=21+24=45.
Therefore, (3×7)+(12×2) is the expression using the given numbers, where the result is equal to 45.
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sketch the graph of the function \(y = - 5 + \sqrt{x} \)
Refer to the model Q (t) = boe
-0.0001211
used for radiocarbon dating.
At an archeological site, scientists uncovered human remains. A sample from a human bone taken from the site showed that 21.2
% of the carbon-14 still remained. How old is the sample? Round to the nearest year. Do not round intermediate calculations.
The sample from the human remains is approximately
years old.
The sample from the human remains is approximately
12,820 years old
Given the model used for radiocarbon dating after a particular period of time "t" expressed according to the formula;
\(Q(t)=b_0e^{-0.0001211t}\)
If a sample from a human bone taken from the site showed that 21.2
% of the carbon-14 still remained, then Q(t) = 21.2
Substitute the given parameters into the formula:
\(Q(t)=b_0e^{-0.0001211t}\\0.212b_0=b_0e^{-0.0001211t}\\0.212 = e^{-0.0001211t}\\ln0.212=lne^{-0.0001211t}\\-1.55117=-0.0001211t\\t=\frac{1.55117}{0.000121}\\t= 12,819.56 years\)
Hence the sample from the human remains is approximately
12,820 years old
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Avery is renting a car and needs to compare the prices of the two car rental companies. Hertz charges $42 per day and an additional $32 in service charges. Enterprise charges $46 per day and an additional $24 in service changes.
Part A: Write an equations for EACH company that represents the total charges for renting a car for a certain number of days. For both questions (one for Hertz and one for Enterprise), define the variable used.
Part B: Use the equations you made in Part A. Which company charges more for renting a car for 6 days? Show your work and justify your answer.
Part C: If Avery decides to rent the car for only 4 days, which company is less expensive? How much money will Avery save? Show your work and explain your reasoning.
The total cost functions are:
total charges for Hertz=32+42x
total charges for Enterprise=24+46x
What does the total rental cost of each company entails?
The total rental cost of each company consists the fixed service charges and the daily charge which can be multiplied by the total of number of days of rental to determine total charges overall.
Hertz:
total charges=32+42x
when x=6 days
total charges=32+(42*6)
total charges=$284
Enterprise:
total charges=24+46x
when x=6 days
total charges=24+(46*6)
total charges=$300
Renting for 4 days:
total charges(Hertz)=32+(42*4)
total charges(Hertz)=$200
total charges(Enterprise)=24+(46*4)
total charges(Enterprise)=$208
savings=$208-$200
savings=$8
The company that charges less when Avery decides to rent car for only 4 days is Hertz and Avery can $8 as result of choosing Hertz
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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Heracio used the computer 4 more hours to do homework than shop online.
How to solve the proportionTo find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.
Let's start by calculating the number of hours Heracio spent on each activity:
Shopping: 10% of 40 hours = 4 hours
Videos: 15% of 40 hours = 6 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 4 hours (shopping) = 4 hours
Therefore, Heracio used the computer 4 more hours to do homework than shop online.
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Enter the correct answer in the box.
IF x≠0, what is the sum of 4 v^3 x^10 + 5x^3 ^3
Answer: \(14*\sqrt[3]{x^{10}}\)
Step-by-step explanation:
First, let's remember the rules:
\(x^{1/n} = \sqrt[n]{x}\)
such that:
\(\sqrt[n]{x^m} = x^{m/n}\)
\((x^a)^b = x^{a*b}\)
\(x^a*x^b = x^{a + b}\)
Now we have the equation:
\(4*\sqrt[3]{x^{10}} + 5*x^3*\sqrt[3]{8*x}\)
First, let's rewrite the roots as we saw above:
\(4*x^{10/3} + 5*x^3*\sqrt[3]{8}*x^{1/3} = 4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3}\)
We also know that: \(\sqrt[3]{8} = 2\)
and that: \(3 + 1/3 = 9/3 + 1/3 = 10/3\)
Replacing those two things in our equation, we get:
\(4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3} = 4*x^{10/3} + 5*2*x^{10/3} = (4 + 5*2)*x^{10/3}\)
\((4 + 10)*x^{10/3} = 14*\sqrt[3]{x^{10}}\)
Where in the final step, I returned to the cubic root form.
Answer:
Step-by-step explanation: \(14x^{3} \sqrt[3]{x}\)
A line is parallel to the line y = x and passes
through the parabola y = x² - 3 at
(4, 13). What is the other point at which the two
functions intersect?
Answer:
Step-by-step explanation:
hello here is an solution
you are given a rectangular matrix m. your goal is to write a program that, if an element of m is equal to 0, sets that element's entire row and column to 0.
The program for a given rectangular matrix m, if an element of m is equal to 0, sets that element's entire row and column to 0
def zeroify_matrix(m):
rows = len(m)
cols = len(m[0])
rows_to_zeroify = []
cols_to_zeroify = []
for i in range(rows):
for j in range(cols):
if m[i][j] == 0:
rows_to_zeroify.append(i)
cols_to_zeroify.append(j)
for i in range(rows):
for j in range(cols):
if i in rows_to_zeroify or j in cols_to_zeroify:
m[i][j] = 0
return m
It is coded in python for the given problem of recreating a rectangular matrix, for a single element to be 0, the whole row nad column will contain zero elements.
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Triangle ABC and triangle DEF are shown on the coordinate plane. Which statement correctly names the congruent triangles and justifies the reason for congruence
The correct names for the congruent triangles are Δ ABC ≅ Δ FED
What are congruent triangles?Congruent triangles have both the same shape and the same size.
Given are two congruent triangles, ABC and DEF,
We have,
AC = DF
∠ A = ∠ F
Therefore,
∠ B = ∠ E
Hence, the correct names for the congruent triangles are Δ ABC ≅ Δ FED
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Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.
PLEASE PLEASE HELP ME
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)
--what is the value of 1/2÷6=
Answer:
0.833...
(3's are infinite)
Answer:
0.08333333333
.Step-by-step explanation:
0.5 divided by 6=0.08333333333
rounded: 0.083repeating
Simplify the ratio.
49 to 77
Answer:
7/11 as a fraction if your talking about a fraction
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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if x and y vary directly and y is 33 when x is 11, find y when x is 12
Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.
If x and y vary directly, it means that they have a constant ratio between them. We can express this relationship as:
y = kx,
where k is the constant of variation.
To find the value of k, we can use the given information that when x is 11, y is 33. Substituting these values into the equation, we have:
33 = k * 11.
Dividing both sides by 11, we find:
k = 3.
Now that we have determined the constant of variation, we can find y when x is 12 by substituting this value into the equation:
y = 3 * 12.
Evaluating this expression, we get:
y = 36.
Therefore, when x is 12, y will be 36.
Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.
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Answer this fraction based Question. I will make you brainliest and provide you 50 points.
6/7 of people are not having a disease, the whole is 1 so the difference is:
1 - 6/7 = 7/7 - 6/7 = 1/7 of the totalPart ii2/3 of those having a disease is:
1/7*2/3 = 2/21 of the totalPart iii15 people are the 1/7 fraction of total people referred to quarantine.
The total number is:
15 : 1/7 = 15 * 7 = 105 peoplePart iv3/5 of 105 people are male, that is:
3/5*105 = 63 peopleNumber of female is:
105 - 63 = 42 peopleAnswer:
\(\sf (i) \quad \dfrac{1}{7}\)
\(\sf (ii) \quad \dfrac{2}{21}\)
\(\sf (iii) \quad 315\:people\)
\(\sf (iv) \quad 126\: females\)
Step-by-step explanation:
Part (i)If 6/7 of people who are quarantined do not have the disease then the fraction of people that do have the disease is:
\(\begin{aligned} \implies 1-\dfrac{6}{7} & =\dfrac{7}{7}-\dfrac{6}{7}\\\\ & =\dfrac{7-6}{7}\\\\ & =\dfrac{1}{7}\end{aligned}\)
Therefore, 1/7 of people in quarantine have the disease.
Part (ii)We are told that 2/3 of the people who have the disease come from abroad. Therefore, the fraction of diseased people coming from abroad is 2/3rds of the diseased people:
\(\begin{aligned} \implies \dfrac{2}{3} \textsf{ of }\dfrac{1}{7} & = \dfrac{2}{3} \times \dfrac{1}{7}\\\\ & = \dfrac{2 \times 1}{3 \times 7}\\\\ & = \dfrac{2}{21}\end{aligned}\)
Therefore, the fraction of diseased people who have come from abroad is 2/21.
Part (iii)We are told that 15 people who have the disease do not come from abroad. So if 2/3 of the people who have the disease come from abroad, then 1/3 of the people who have the disease do not come from abroad. Remember that 1/7 of the total people have the disease.
\(\begin{aligned} \implies \dfrac{1}{3} \textsf{ of }\dfrac{1}{7} & = \dfrac{1}{3} \times \dfrac{1}{7}\\\\ & = \dfrac{1 \times 1}{3 \times 7}\\\\ & = \dfrac{1}{21}\end{aligned}\)
Therefore, 1/21 of the total number of people have the disease and do not come from abroad.
Therefore, 15 people are equal to 1/21 of the total number of people:
\(\implies \sf Total\:number\:of\:people=15 \times 21 = 315\)
Therefore, the total number of people in quarantine is 315.
Part (iv)If 3/5 of the total are male, then 2/5 must be female.
\(\begin{aligned} \implies \dfrac{2}{5} \textsf{ of }315 & = \dfrac{2}{5} \times 315\\\\ & = \dfrac{2 \times 315}{5}\\\\ & = \dfrac{630}{5}\\\\& = 126 \end{aligned}\)
Therefore, 126 females are in quarantine.
use the graph of f(x)=x^2 to write an equation for the function represented by each graph
The image of the function f(x) = x² is equal to g(x) = x² - 1.
How to derive the equation of a graph based on a parent function
In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:
f(x) → f(x) + k, k > 0 for an upward translation.
If we know that f(x) = x² and k = - 1, then the equation for the image is:
g(x) = x² - 1
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Carlos has 8 dollars and 48 cents. Alissa has 4 dollars and 14 cents. How much money does Carlos need
To give Alissa so that each of them has the same amount of money?
Answer:
.2 dollars and 17 cents
Step-by-step explanation:
Carlos has 8dollars and 48 cents --->8+0.48=8.48
Alissa has 4dollars and 14 cents--->4+0.14=4.14 let
x--->amount of money that Carlos needs to give Alissa
The linear equation that represents this situation is 8.48-x=4.14+x
solve for x2x=8.48-4.14
2x=4.34
x=2.17
therefore,the amount of money is 2 dollars and 17 cents.
thank you
by Angel osei
If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2
Answer:
y²z²-x²
3*3*4*4-2*2
3*16-4
48-4
44
Step-by-step explanation:
* means multiply
Answer:
\(here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you\)
what is the sum -6-13
Answer:
-19
Step-by-step explanation:
Let's assume we are owing two people 6 dollars and the other person 13 dollars u have no gain