Answer:
997 admission tickets were sold and 361 reserved seats were sold.
Step-by-step explanation:
There is a couple of ways to calculate this.
Multiply the cost of an admission ticket by the total paid admissions:
\(4 \times 1358 = 5432\)
Subtract this from the total cost:
\(5973.5 - 5432 = 541.5\)
Divide the above value by the difference between the cost of the two tickets:
\(5.5 - 4 = 1.5\)
\(541.5 \div 1.5 = 361\)
Now we know the number of general admission tickets, we can subtract the cost of this from the total cost:
\(361 \times 5.5 = 1985.5\\5973.50 - 1985.5 = 3988\)
Divide this by the cost of general admission:
\(3988 \div 4 = 997\\\)
So there were 997 admission tickets sold and 361 reserved seats sold.
Hope this helps!
please help 30 points!
Answer:
its A=4,20, B=8,40
Step-by-step explanation:
you are supposed to do the Y first then the X
Answer:
B. every 4 miles you run it will have been 20 min
C. put 4 over 20 like a fraction then next to that put a 1 over x then cross multiply and divide giving you the answer wich is " for every mile you run you spend 5 min
D. 1/5 for every mile you spend 5 minutes
E. same thing as above
Step-by-step explanation:
Missing numbers
, 9.8 , 9.1
Answer:
10.5
Step-by-step explanation:
Missing number, 9.8, 9.1
We see that each time it subtracts 0.7
We take
9.8 + 0.7 = 10.5
So, the missing number is 10.5
Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pinesol, and just water. For each cleaner, he put 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel.
Answer:
whichever paper towel observer's the most juice is the best brand
If a space of 18 inches is allowed for each person, how many persons can be seated in a row of bleacher seats 90 feet long?
Answer:
31 people
Step-by-step explanation:
think of it like a line,
first person at zero then add 3 feet per person so...
1 + 90/3 = 31 people
kinda funny that the problem isnt accounting for the size of the people
The area of a rectangle is 125 square yards. If the perimeter is 60 yards, find the length and width of the rectangle.
Answer:
25 yards long, 5 yards wide
Step-by-step explanation:
The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.
SetupThe length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:
A = LW ⇒ 125 = xy
P = 2(L+W) ⇒ 60 = 2(x +y)
Using the second equation to write an expression for y, we have ...
y = 30 -x
Substituting into the first equation gives ...
125 = x(30 -x)
SolutionThis suggests we can find x by looking for factors of 125 that total 30.
125 = 1(125) = 5(25)
Factor totals are 126 and 30. This means we have ...
x = 5, y = 30-5 = 25
or
x = 25, y = 30 -25 = 5
The rectangle dimensions are 5 yards by 25 yards.
__
Additional comment
The two equations can also be solved graphically, as in the attachment.
The rectangle will be 25 yards long, and 5 yards wide.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.
The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:
A = LW ⇒ 125 = xy
P = 2(L+W) ⇒ 60 = 2(x +y)
Using the second equation to write an expression for y, we have ...
y = 30 -x
Substituting into the first equation gives ...
125 = x(30 -x)
This suggests we can find x by looking for factors of 125 that total 30.
125 = 1(125) = 5(25)
Factor totals are 126 and 30. This means we have.
x = 5, y = 30-5 = 25
x = 25, y = 30 -25 = 5
Therefore, the rectangle will be 25 yards long, and 5 yards wide.
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What is the original price if there is a 25% discount and the sale price is $76.50?
Answer:
102
Step-by-step explanation:
102 discount off would be 25%
of 76.50 = 102 dollars
One hundred samples of five data points were randomly selected from each of four populations. The medians of each population's samples were plotted as shown below. Another random sample was then taken from one of the populations and recorded as follows: {1, 20, 5, 0, 5} From which population was this sample MOST likely selected? A. Population A B. Population B C. Population C D. Population D
From the dot plot, it can be seen that the median of the sample {1, 20, 5, 0, 5} is 5. This value falls in the range of the medians of samples from Population C. Therefore, it is most likely that this sample was selected from Population C.
What is median?The median is a measure of central tendency in a dataset, it is the middle value when a data set is ordered from least to greatest. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values. The median is a useful measure of central tendency when the data set contains outliers or extreme values, which can skew the mean.
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what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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Find the area of the circle.
Step- by - Step Explanation:
Area of a circle=πr²
=3.14...×6²
=113.0973355292325
Approximately ≈113.1cm²
Please mark BRAINLIEST if I'm right.
if a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the waves will converge at the location of the other focus. if the pond has a major axis of 68 feet and a minor axis of 32 feet, how far apart are the foci?
30 feet
36 feet
54 feet
60 feet
The distances between the foci of the ellipse is given as follows:
60 feet.
How to obtain the distances between the foci of the ellipse?The pond has a major axis of 68 feet, hence the coefficient a can be obtained as follows:
2a = 68
a = 34.
The pond has a minor axis of 32 feet, hence the coefficient b can be obtained as follows:
2b = 32
b = 16.
Then the coefficient c can be obtained according to the equation presented as follows:
c² = a² - b²
Hence:
c² = 34² - 16²
c = square root (34² - 16²)
c = 30.
The distance between the foci of the ellipse is given as follows:
2c
Considering that c = 30, the distance is given as follows:
2 x 30 = 60 feet.
(replacing c = 30 into the equation).
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In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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6. A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
19 of each
Step-by-step explanation:
A 640-ounce bag of dog food contains 75 equal-sized portions. How big will each portion be? Use compatible numbers to solve. A. Between 7 and 8 ounces B. Between 8 and 9 ounces C. Between 9 and 10 ounces D. Between 10 and 11 ounces
Answer:
B
Step-by-step explanation:
If you do 640/75 that equals 8.5333 etc. That is between 8 and 9!
Hope that helps!
2x - 5 > -9
solve inequality
Answer:
x>-2
Step-by-step explanation:
first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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Set W consists of the even whole numbers from 2 to 20, inclusive. If a number is selected at random from set W, then what is the probability that the number is a
multiple of 4 and also a multiple of 6?
Answer:
1/19
Step-by-step explanation:
The number in the set that are a multiple of both 4 and 6 is 12.
This is one number out of the 19 numbers in the set, so the probability is 1/19.
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answer:
no is 100 fluid ounces.
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points \(\((x_1, y_1)\)\) and \(\((x_2, y_2)\)\), we will use the distance formula:
Distance = \(\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)\)
In this case, \(\((x_1, y_1) = (12, 5)\)\) and \(\((x_2, y_2) = (3, 4)\)\).
Substituting these values:
Distance = \(\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)\)
Distance = \(\(\sqrt{(-9)^2 + (-1)^2}\)\)
Distance = \(\(\sqrt{81 + 1}\)\)
Distance = \(\(\sqrt{82}\)\)
Now, approximate value of \(\(\sqrt{82}\)\) to 1 decimal place:
\(\(\sqrt{82} \approx 9.1\)\)
So, the correct response is 9.1.
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Assume the average nightly payroll for a city’s downtown restaurants on the weekend is $2200 with a standard deviation of $300. The distribution has a bell-shaped curve. A manager wants to be 99% sure he has this cost covered for the next four weeks and puts away $10,000. Will he have enough? Use your z-score formula result to justify your answer. Please respond with the dollar amount and round to the nearest dollar.
Hint: Round your z-value to the hundredths place and direction of the graph will matter.
Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.
To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.
The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:
Weekly Payroll = Nightly Payroll * Number of Nights in a Week
= $2200 * 7
= $15,400
To calculate the total cost for four weeks, we multiply the weekly payroll by four:
Total Cost for Four Weeks = Weekly Payroll * Number of Weeks
= $15,400 * 4
= $61,600
Now, let's calculate the z-score using the formula:
z = (X - μ) / σ
Where:
X = Total Cost for Four Weeks
μ = Mean of the distribution
σ = Standard deviation of the distribution
z = ($61,600 - $2200) / $300
z = $59,400 / $300
z ≈ 198
To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.
For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.
Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.
Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.
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help please!!!!!!!!will give brainliest
Step-by-step explanation:
The first answer is correct
Answer:
The answer is option A = 5 11/36
Working :
3 8/9 as an improper fraction = 35/9
1 5/12 as an improper fraction =17/12
35/9 + 17/12 = 191/36
=5 11/36
Please mark me brainliest.
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.
Rotate the triangle through 180' about the origin.
y
51
4
3
2
11
ܘܝ ܚ ܚ ܬ
-5 -4 -3 -2 -10
-1
-2
-4
L
1
2 3 4 5
X
The coordinates of the vertex points of the triangle rotated through 180° about the origin, are (-1, -2), (-4, -2), and (-4, -4)
The drawing of the image of the triangle rotated through 180°, created using MS Excel is attached
What is a rotation transformation?A rotation transformation is one in which points on the figure to be rotated are turned about a center of rotation, following a circular path.
The coordinates of the vertices of the triangle are; (1, 2), (4, 2), and (4, 4)
The coordinates of the image following rotation of a point (x, y) 180°, about the origin is the point (-x, -y)
Therefore, the coordinates of the image of the triangle following the rotation are;
Rotation of the point (1, 2) 180° ⇒ (-1, -2)
Rotation of the point (4, 2) 180° ⇒ (-4, -2)
Rotation of the point (4, 4) 180° ⇒ (-4, -4)
Please find attached the graph of the image of the triangle with the vertex points (-1, -2), (-4, -2), and (-4, -4) following the rotation through 180° about the origin, created with MS Excel
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Write a ratio in two ways to describe the relationship of the number of forks to the number of spoons.
The ratio that describes the relationship of the number of forms to the number of spoons is …….. to …….. or ………. ………
Answer:
Here is a example they gave these numbers 6.9 and they say find 2 ways to describe it you will have this 6.9 or 6 to9
Gabriel will randomly choose one can of soup then
Answer:
Is the question fully attached?
Step-by-step explanation:
I dont see any numbers do you have a picture of the question?
Please help me solve this, it’s the last question.
The value of the double integration is 7776 after solving and integration. the answer is 7776.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
Double integration (x + y) dA
y = x²
y² = 216x
y = √216 √x
∫∫(√216 √x + x²)
After solving:
\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)
=7776
Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Last question pls help me
Answer:
Step-by-step explanation:
684 dollars
When you simplify (-2)^-3
Fraction Form: -1/8
Decimal Form: -0.125