The seats available to a baseball game come in four types: bleacher, box, club, and grandstand. There are 12,600 box seats and 5,400 club seats available. According to the graph, what is the total number of seats available?
Answers
Using equations, we can find that there are a total of 45,000 seats available at the baseball game.
What are equations?An equation is a mathematical statement that has two expressions with equal values, each separated by the symbol "equal to."
Let x be the total number of seats available.
According to the problem, 18% of the seats are bleachers, and 42% of the seats are grandstands.
That means the remaining 40% of the seats are box and club seats combined since 100% - 18% - 42% = 40%.
The problem states that there are 12,600 box seats and 5,400 club seats available, which makes a total of
12,600 + 5,400 = 18,000 box and club seats.
Now, we can set up an equation to find the total number of seats:
0.40x = 18,000
To solve for x, divide both sides of the equation by 0.40:
x = 18,000 ÷ 0.40
x = 45,000
There are a total of 45,000 seats available at the baseball game.
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Related Questions
Assignment: Waves Math Exploration
What is the wave speed of a wave that has a frequency of 500 Hz and a wavelength of 0.40 m?
Please answer immediately if able to!
Answers
200 m/s is the wave speed of a wave that has a frequency .
What do you name a wave?
There are two different types of waves: longitudinal and transverse. Longitudinal waves are similar to those of sound in that they alternate between compressions and rarefactions in a medium, much like transverse waves in that the surface of the medium rises and falls.
The pattern of disruption brought about by the movement of energy through a medium (such as air, water, or any other liquid or solid matter) as it spreads away from the source of the sound is known as a sound wave.
The wave speed (v) of a wave can be calculated by multiplying its frequency (f) by its wavelength (λ). Mathematically, we can express this as
v = f x λ
Substituting the given values of frequency and wavelength into this formula, we get:
v = 500 Hz x 0.40 m
Multiplying these values, we get:
v = 200 m/s
Therefore, the wave speed of a wave that has a frequency of 500 Hz and a wavelength of 0.40 m is 200 m/s.
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19. A piece of wire 44 cm long is cut into two parts.
Each part is bent to form a square. Given that
the total area of the two squares is 65 cm², find the
perimeter of each square.
Answers
4x + 4y = 44 cm
This is a system of equations where you can solve for one variable and then substitute to find the other.
4x = 44 - 4y
X= 11-y
Then, substitute.
(11-y)^2 + y^2 = 65
121-22y+2y^2=65
2y^2-22y+56= 0
Now factor and solve for y.
Y^2-11y+28=0
(Y-4) (y-7) =0
Y= 4 or 7
The perimeter is 4(x) + 4(y), so the perimeters of the squares would be 28 cm and 16 cm respectively.
Answer:28 and 16 cams
Step-by-step explanation: let the two parts be x cms and 44 -x cms.
So side of squares will be x/4 and (44-x)/4 resp
Area will be (x/4)^2 and ((44-x)/4)^2 resp
Equation is(x/4)^2 + ((44-x)/4)^2 = 65
(X-28)(x-16) = 0
X =28 or x = 16 cms
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 6
Green 12
Yellow 19
Purple 19
Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.
Answers
Explanation
Add up the frequencies:
7+6+12+19+19 = 63
Out of those 63 total spins, 6 of them landed on blue.
The empirical (aka experimental) probability of landing on blue is therefore 6/63 = 2/21
Find the sum of (8a +2b - 4 ) and ( 3b - 5)
Answers
The sum of (8a + 2b - 4) and (3b - 5) is (8a + 5b - 9). We can find it in the following manner.
To find the sum of (8a + 2b - 4) and (3b - 5), we can simply add the corresponding coefficients of the variables a and b, as well as any constant terms.
So we have:
(8a + 2b - 4) + (3b - 5)
= 8a + 2b + 3b - 4 - 5 (grouping like terms)
= 8a + 5b - 9
Therefore, the sum of (8a + 2b - 4) and (3b - 5) is (8a + 5b - 9).
We can also explain this process by using the distributive property of addition over subtraction. This property states that the sum of two numbers with the same sign (positive or negative) can be found by adding their absolute values and keeping the common sign.
In this case, we can think of the expression (8a + 2b - 4) as the sum of three terms: 8a, 2b, and -4. Similarly, we can think of the expression (3b - 5) as the sum of two terms: 3b and -5.
Using the distributive property, we can add the terms with the same variable together:
(8a + 2b - 4) + (3b - 5)
= 8a + (2b + 3b) - (4 + 5)
= 8a + 5b - 9
Thus, we obtain the same result.
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Shen drove 603 miles in 9 hours. At the same rate, how long would it take him to drive 335 miles?
Answers
Answer:
5 hours
Step-by-step explanation:
Since Shen drove at the same rate for both distances, we can use a proportion to solve for the time it would take him to drive 335 miles:
[tex]\frac{d_{1} }{t_{1} }=\frac{d_{2} }{t_{2} }[/tex]
where d1 is 603 miles, t1 is 9 hours, d2 is 335, and t2 is the unknown value.
Thus, we can simply plug in everything to the equation and solve for t2:
[tex]\frac{603}{9}=\frac{335}{t_{2} }\\ 67=\frac{335}{t_{2} }\\ 67t_{2}=335\\ t_{2}=5[/tex]
(*Note that 9 divides evenly into 603 and becomes 67, which is why I didn't cross-multiply first with he 603 and t2 and the 335 and 9, although you'd still get the same result for t2)
Thus, it would take Shen 5 hours to drive 335 miles.
You can check by finding the rate for both equations since we know that distance is equal to the product of rate and time (d = rt):
First equation: 603 miles = 9 hours * r mph
67 mph = r
603 = 67 * 9
Second equation: 335 miles = 5 hr * r mph
67 mph = r
335 = 67 * 5
Using identities evaluate :78x82
Answers
Answer:
6436
Step-by-step explanation:
78 x 82
= (80-2) * (80+2)
= (80^2 - 2^2)
= 6436
PLEASE HELP!!!
1.) Circle A has been transformed to Circle B. What is the translation rule for these circles?
A.) (x-2),(y+3)
B.) (x+2),(y+3)
C.) (x-1),(y+4)
D.) (x+4),(y+3)
*Please Show All Work***
2.) Circle A has been transformed to Circle B. What is the scale factor of Circle A to Circle B?
Answers
The translation of circle A to circle B is achieved using the translation rule
B.) (x + 2),(y + 3)The scale factor of Circle A to Circle B is 2
What is translation in geometry?In geometry, translation refers to a transformation that moves an object in a straight line without changing its size, shape, or orientation.
This movement is done by sliding the object along a line, which is called the axis of the translation.
The scale factor is solved by comparing the diameter
Circle A has diameter of 2 units
Circle B has diameter of 4 units
let the scale factor be k
diameter of circle A * k = diameter of circle B
2 * k = 4
k = 4 / 2
k = 2
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This time, make a simple coaster that "bumps" the axis at x = 500. remember to make sure that the track rises before it falls! y = ax(x – 1000 )
Answers
The coaster starts at a height of 250, then drops down to 0 at x=500, and then rises back up to a height of 250. The bump is located at x=500 and is the highest point on the coaster.
y = -0.0005(x-500)² + 250
The coaster starts at the highest point (y=250) when x=0 and then drops down to x=500 by following the equation y=ax(x-1000). To create the bump, we need to make the coaster rise before it falls, so we use a quadratic equation that has a vertex at x=500 and y=250 (the initial height).
The equation y = -0.0005(x-500)² + 250 is a downward-facing quadratic equation with a maximum value of y=250 at x=500. This means that as the coaster approaches x=500, it starts to rise, and then falls down again. The coefficient -0.0005 controls the steepness of the coaster's drop and the height of the bump.
Here's a graph of the coaster:
^
260| *
| *
| *
| *
| *
height | *
| *
| *
0 +--------------->
0 500 1000 x-axis
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Harry buys a TV priced at £1200 plus 20% VAT. He pays £300 deposit and the balance in ten equal monthly payments. Calculate each monthly payment.
Answers
Answer:
Step-by-step explanation:
Step 1: Find the TV price:
£1200×(100%+20%)= £1440
Step 2: Find the final price Harry have to pay:
since he deposited £300 so the ammout he have to pay is:
£1440 - £300 = £1140
Step 3: Find the monthly payment
in this case he pays equally every month so we take the ammount he has to pay devided by 10 months
£1140÷10=£114
Conclusion: He has to pay £114 every month
40.7 x 19.3 whats the product and explain how
Answers
Answer:
Step-by-step explanation:
the answer is 785.51
A car travels at a constant speed
It travels a distance of 146.2m, correct to 1 decimal place. This takes 7 seconds,correct to the nearest second
Answers
Consider a scenario in which Romeo responds positively to Juliet's feelings, and Juliet responds equally to her own feelings, but responds negatively to Romeo's feelings. The corresponding system is: R = 1 j = -R+J (a) Use the (A,T) chart to classify the behavior of the system. (b) Calculate the eigenvalues and eigenvectors of the system. Sketch the behavior of the system in the phase plane. (c) Sketch in particular the solution curb that starts at R(0) = 1, J0) = 1. (d) Predict what will happen to the couple in the long term, if starting at this initial point.
Answers
The solution curve represents a spiral that converges towards the origin.
(a) To classify the behavior of the system, we can use the (A,T) chart. Here, A is the sum of the elements in each row of the system matrix and T is the sum of the absolute values of the off-diagonal elements.
The system matrix for this scenario is:
[ 0 1 ]
[-1 1 ]
So, A = 1 for both rows, and T = 1 (absolute value of the off-diagonal element).
Using the (A,T) chart, we can see that the system is a focus.
(b) To find the eigenvalues and eigenvectors of the system, we need to solve the characteristic equation:
| 0-lambda 1 | |u| |0|
| -1 1-lambda| [tex]\times[/tex] |v| = |0|
Expanding the determinant, we get:[tex]\lambda^2[/tex] -[tex]\lambda[/tex] + 1 = 0
Solving for lambda using the quadratic formula, we get:[tex]\lambda[/tex] = (1 +/- sqrt(3)i) / 2
So, the eigenvalues are complex conjugates with a real part of 1/2. The eigenvectors can be found by solving the system of linear equations:(0 - lambda)u + v = 0
(-1)u + (1 - lambda)v = 0
For lambda = (1 + sqrt(3)i) / 2, we get:u = [1, -1 + sqrt(3)i]
For lambda = (1 - sqrt(3)i) / 2, we get:u = [1, -1 - sqrt(3)i]
(c) To sketch the solution curve that starts at R(0) = 1, J(0) = 1, we can use the eigenvectors and eigenvalues. The general solution for the system can be written as:[x(t), y(t)] = [tex]c_1 \times u_1 \times e^(l \ambda1 \times t) + c2 \times u2 \times e^(\lambda2 \times t)[/tex]
where c1 and c2 are constants determined by the initial conditions, u1 and u2 are the eigenvectors, and lambda1 and lambda2 are the eigenvalues.
Plugging in the values, we get:
[tex][x(t), y(t)] = c_1 \times [1, -1 +\ sqrt(3)i] \times e^{((1 + \sqrt(3)i)t} / 2) + c_2\times [1, -1 - \sqrt(3)i] \times e^{((1 - \sqrt(3)i)t} / 2)[/tex]
Using the initial condition R(0) = 1, J(0) = 1, we get:
[tex]c_1 + c_2 = 1[/tex]
(-1 + sqrt(3)i)c1 + (-1 - sqrt(3)i)c2 = 1
Solving for [tex]c_1[/tex] and [tex]c_2[/tex], we get:
[tex]c_1[/tex] = (1 + sqrt(3)i) / (2[tex]\times[/tex] sqrt(3)i)
[tex]c_2[/tex]= (1 - sqrt(3)i) / (2 [tex]\times[/tex] sqrt(3)i)
Plugging in these values, we get:
[x(t), y(t)] = [1, 0] [tex]\times[/tex] e^((1 + sqrt(3)i)t / 2) + [0, 1] [tex]\times[/tex] e^((1 - sqrt(3)i)t / 2)
This solution curve represents a spiral that converges towards the origin.
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Find the value of the discriminant for the quadratic:
x²- 7 + 6 = 0
Value of the discriminant?
How many zeros?
What type?
Answers
(a) The discriminant is positive (25)
(b) The quadratic equation has two zeros.
(c) The type of the zeros is real and distinct.
What is the discriminant of the quadratic equation?The given quadratic equation is: x² - 7x + 6 = 0
To find the discriminant, we use the formula:
Discriminant = b² - 4ac
Here, a = 1, b = -7, and c = 6.
So, the discriminant is:
b² - 4ac = (-7)² - 4(1)(6) = 49 - 24 = 25
Therefore, the discriminant is 25.
To determine the number of zeros, we use the discriminant as follows:
If the discriminant is positive (greater than zero), then the quadratic equation has two real and distinct roots.If the discriminant is zero, then the quadratic equation has one real and repeated root.If the discriminant is negative (less than zero), then the quadratic equation has two complex conjugate roots.Here, the discriminant is positive (25), so the quadratic equation has two real and distinct roots.
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in an experiment, once the independent and dependent variables are determined, we have a choice to make about the other variables. if we hold everything else constant, we are reducing what kinds of variables? a. intervening b. confounding c. random d. control
Answers
The correct option - d. control. After identifying the variables that are independent and dependent in an experiment, we can decide what to do with the remaining variables. We are diminishing "control" if we keep everything else constant.
Explain about the control variables?Something kept constant or constrained in a research study is referred to as a control variable. Although not being relevant to the study's goals, this variable is controlled since it could have an impact on the results.
Variables can be controlled either directly by maintaining their value throughout a study (for example, by maintaining a constant room temperature in such an experiment) or indirectly by using techniques like randomization as well as statistical control . Research biases including omitted variable bias can be avoided by including control variables in your analysis.Thus, after identifying the variables that are independent and dependent in an experiment, we can decide what to do with the remaining variables. We are diminishing "control" if we keep everything else constant.
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a distribution of values is normal with a mean of 93.2 and a standard deviation of 87.4. find p81, which is the score separating the bottom 81% from the top 19%.
Answers
If the distribution of values is normal with a mean of 93.2 and a standard deviation of 87.4. the score separating the bottom 81% from the top 19% is 168.24.
The value of p81, which is the score separating the bottom 81% from the top 19%, can be calculated as follows:
The given, Mean = μ = 93.2
Standard deviation = σ = 87.4
We are supposed to find the score separating the bottom 81% from the top 19% which is nothing but the 81st percentile.
Let X be a random variable with a normal distribution, then the z-score of the 81st percentile is calculated as follows:
z = InvNorm(0.81)
z ≈ 0.8 (by standard normal distribution tables)
The 81st percentile in terms of X is given by:
p81 = μ + zσp81
= 93.2 + 0.8(87.4)p81
p81 = 168.24
Thus, the score separating the bottom 81% from the top 19% is 168.24.
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PLS HELP IT IS DUE TODAY
Answers
Therefore, the equation in slope-intercept form that has a y-intercept at (0, -3) and also contains the point (4, 5) is y = 2x - 3.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. An equation is usually written with an equal sign (=) between the two expressions. Equations are used to represent mathematical relationships between quantities, to solve problems, and to model real-world situations. They can be used to find unknown values, to predict outcomes, and to test hypotheses. There are many types of equations, including linear equations, quadratic equations, polynomial equations, trigonometric equations, and differential equations. Each type of equation has its own rules and methods for solving it.
Here,
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We are given that the y-intercept is (0, -3), so b = -3. To find the slope, we can use the two given points (0, -3) and (4, 5).
slope = (y2 - y1)/(x2 - x1)
= (5 - (-3))/(4 - 0)
= 8/4
= 2
Now that we know the slope and the y-intercept, we can write the equation in slope-intercept form:
y = 2x - 3
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what is the area of an equilateral triangle whose side length is 8 cm? leave your answer in simplest radical form.
Answers
The area of the equilateral triangle with a side length of 8 cm is 16√(3) cm².
To find the altitude of an equilateral triangle with a side length of 8 cm, we can use the Pythagorean theorem.
The Pythagorean theorem is states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In these triangles, the side opposite the 60-degree angle is half the length of the hypotenuse, which is 8 cm. Using the Pythagorean theorem, we can find that the length of the altitude is:
Altitude = √(8² - (4²)) = √(48) = 4√(3)
Now that we know the altitude, we can plug it into the formula for the area of a triangle:
Area = (base x height) / 2 = (8 x 4√(3)) / 2 = 16√(3) cm²
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Use regrouping to solve. Make sure your answer is not an
improper fraction.
10-1-1-6-²-2--
69
Noitoont insloviups no son datin
Answers
-1
To use regrouping to solve, we need to add and subtract the numbers in the expression, taking care to keep track of any negative signs.
10 - 1 - 1 - 6 - ² - 2
= 10 - (1 + 1) - 6 - ² - 2 [Group the first two numbers together and add them]
= 10 - 2 - 6 - ² - 2 [Simplify the first three terms]
= (10 - 2) - 6 - ² - 2 [Group the first two terms together and subtract them]
= 8 - 6 - ² - 2 [Simplify the first two terms]
= 2 - ² - 2 [Simplify the first two terms]
= -1 [Simplify the expression by subtracting ² and 2 from -1]
Therefore, the final answer is -1.
WILL GIVE BRAINLIEST, NEED HELP ASAP.
A fisherman on the atchafalaya basin drops a line that lands in the water 1225 ft below, the equation [tex]\frac{d}{25} =t^{2}[/tex] represents the distand in feet, d, the object falls in t seconds. How long does it take to reach the bottom?
Answers
Answer:
7 seconds
Step-by-step explanation:
d is 1225, and we need to find t.
plug in 1225 for d:
1225/25 = t^2
49 = t^2
t = 7
What is 1. 2 x 10 ^5 in standard form?
Answers
Answer: 0.000012
Step-by-step explanation: The exponent is -5, making it 10 to the power of negative 5. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 5 times
1.2 -> 0.000012
Estimate the length of the hypotenuse. y C. 5.7 7 8.1 410
Answers
The hypotenuse's length could therefore be between 9.03 and 10.70 units based on these estimates.
Define a right-angled triangle.The term "right triangle" refers to a triangle with an internal angle of 90 degrees. The hypotenuse, the side that faces the right angle and is also the side with the longest side in a right triangle, and the height and base are the two limbs of the right angle.
Based on the information provided, it is reasonable to infer that we have a right-angled triangle with two sides that are y and 7, and we need to determine the length of the hypotenuse.
The hypotenuse's square length is equal to the total of the squares of the lengths of the other two sides, according to the Pythagorean theorem.
The result is:
y² + 7² = hypotenuse²
hypotenuse² = y² + 49
we can determine the length of the hypotenuse by assuming that y is somewhere between 5.7 and 8.1.
If y is 5.7, then:
hypotenuse² = 5.7² + 49
hypotenuse² = 81.49
hypotenuse ≈ 9.03
If y is 8.1, then:
hypotenuse² = 8.1² + 49
hypotenuse² = 114.61
hypotenuse ≈ 10.70
So, based on these estimations, the length of the hypotenuse could be around 9.03 or 10.70 units.
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Complete question
Estimate the length of the hypotenuse, If the length of the two sides is y and 7 respectively
1) If y= 5.7
2) If y= 8.1
Given ab and be are diameter of circle P. Diameter whether the arc is a minor arc, a major arc or a semi-circle of circle P. The find the measure of the arc. A. CD b. AE c. BC d. AC e. ADC f.AED g.CE H. BAD
Answers
Answer:
a. m(arc) CD = 65°
b. m(arc) AE = 120°
c. m(arc) BC = 55°
d. m(arc) AC = 115°
e. m(arc) ADC = 245°
f. m(arc) AED = 180°
g. m(arc) CE = 125°
h. m(arc) BAD = 240°
Step-by-step explanation:
a.
m<CPD = 180 - 55 - 60 = 65
m(arc) CD = 65°
b.
m<APB = 60°
m<APE = 180° - 60° = 120°
m(arc) AE = 120°
c.
m(arc) BC = 55°
d.
m(arc) AC = 60° + 55° = 115°
e.
m(arc) ADC = 120° + 60° + 65 = 245°
f.
m(arc) AED = 180°
g.
m(arc) CE = 60° + 65° = 125°
h.
m(arc) BAD = 60° + 120° + 60° = 240°
In a right-angled triangle, what is the side opposite the right angle called?
Answers
Answer:
The hypotenuse.
Step-by-step explanation:
The attorney does not accept legal cases involving litigation that would result in less than a $45,000 fee. The attorney has the opportunity to represent a client who will pay him $175 per hour plus 25% of the settlement. What is the minimum acceptable settlement on a case on which the attorney spent 110 hours?
Answers
Therefore, the minimum acceptable settlement on the case is $103,000.
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, 50% means 50 out of 100 or 50/100, which is equivalent to the fraction 1/2 or the decimal 0.5.
Percentages are commonly used to express proportions, rates, or changes. They are used in many different fields, such as finance, statistics, science, and everyday life. For instance, we might use percentages to describe the rate of interest on a loan, the percentage of people who have received a vaccine, or the percentage increase or decrease in the stock market.
by the question.
First, we need to calculate the total fee the attorney will earn based on the hourly rate and the percentage of the settlement.
The attorney's fee is the sum of the hourly fee and the percentage of the settlement:
hourly fee = 110 hours x $175 per hour = $19,250
percentage of the settlement = 25% of the settlement
total fee = hourly fee + percentage of the settlement
We know that the total fee must be greater than or equal to $45,000, so we can set up an equation to solve for the minimum acceptable settlement:
$19,250 + 0.25S ≥ $45,000
where S is the settlement amount.
Subtracting $19,250 from both sides, we get:
0.25S ≥ $25,750
Dividing both sides by 0.25, we get:
S ≥ $103,000
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A circle with center � ( 5 , 2 ) O(5,2) contains the point � ( 11 , 10 ) A(11,10)
Answers
The point (11,10) lies on the circle with center (5,2).
The equation of the circle with center (5,2) and point (11,10) is given by [tex](x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2.[/tex]
Substitute the coordinates of the center and point in the equation and simplify, we get
[tex](x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2= (x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2= x^2 - 10x + 25 + y^2 - 4y + 4 = x^2 - 22x + 121 + y^2 - 20y + 100= -10x + 25 - 4y + 4 = -22x + 121 - 20y + 100= -10x - 22x = 121 - 25 - 20y + 4y=-32x = 96= x = 3[/tex]
Substitute this value of x in [tex](x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2[/tex] and simplify, we get
[tex](3-5)^2 + (y-2)^2 = (3-11)^2 + (y-10)^2= (-2)^2 + (y-2)^2 = (-8)^2 + (y-10)^2= 4 + y^2 - 4y + 4 = 64 + y^2 - 20y + 100= -4y + 8 = -20y + 96= 16 = 16[/tex]
Hence, the point (11,10) lies on the circle with center (5,2).
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complete question
Explain with formula and calculation how a circle with center (5,2) contains the point (11,10).
A concrete pillar has the shape of a cylinder. It has a diameter of 4 meters and a height of 5 meters. If concrete costs $107 per cubic meter, how much did the concrete cost for the pillar?
For your calculations, do not round any intermediate steps, and use the pi button on a calculator. Round your answer to the nearest cent.
Answers
The cost of the concrete used to make the cylinder was approximately $6,776.89.
The problem is asking us to find the cost of the concrete used to make a cylindrical pillar, given its dimensions and the cost per cubic meter of concrete. We first need to calculate the volume of the cylinder using the formula for the volume of a cylinder:
[tex]V=pir^2h[/tex]
where V is the volume, r is the radius, h is the height, and π is the constant pi (approximately 3.14159).
In the problem, the diameter of the cylinder is given as 4 meters, which means the radius is half of that, or 2 meters. The height of the cylinder is given as 5 meters.
Substituting these values into the formula, we get:
[tex]V = \pi r^2h = \pi (2)^2(5) = 20\pi cubic meters[/tex]
Next, we need to find the cost of the concrete used to make the cylinder, given that the cost per cubic meter of concrete is $107. We can do this by multiplying the volume of the cylinder by the cost per cubic meter of concrete:
20π × $107 = $6,776.89
Rounding to the nearest cent, we get that the cost of the concrete used to make the cylinder was approximately $6,776.89.
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Ms. Ibrahim travelled a total of 150 miles for work in 5 days. She traveled the same distance for work each day. Which 3 points lie on the line that represents the total distance in miles y, she traveled for work in x days. Circle three correct points.
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Three pοints οn the line are: (0,0), (1,30), and (2,60)
what is slοpe-intercept fοrm?When yοu knοw the slοpe οf the line tο be investigated and the given pοint is alsο the y intercept, yοu can utilise the slοpe intercept fοrmula, y = mx + b. (0, b). The y value οf the y intercept pοint is denοted by the symbοl b in the fοrmula.
Tο sοlve the prοblem, we can start by using the fοrmula fοr the equatiοn οf a line in slοpe-intercept fοrm:
y = mx + b
We can use the given infοrmatiοn tο find the slοpe:
m = tοtal distance / number οf days = 150 miles / 5 days = 30 miles/day
b = 0 miles
Therefοre, the equatiοn οf the line representing the tοtal distance Ms. Ibrahim travels fοr wοrk in x days is:
y = 30x
When x = 0 (i.e., when Ms. Ibrahim dοes nοt wοrk), y = 0.
When x = 1 (i.e., οn the first day), y = 30 miles.
When x = 2 (i.e., οn the secοnd day), y = 60 miles.
Sο, three pοints οn the line are: (0,0), (1,30), and (2,60)
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There are 1600 students in school. 47. 5% are male. How many are female
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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}[/tex]
In winter, the price of apples suddenly went up by $0. 75 per pound. Sam bought 3 pounds of apples at the new price for a total of of $5. 88. Write an equation to determine the original price per pound
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The equation to determine the original price per pound is 3(x + 0.75) = 5.88, where x is original price per pound. so, the original price is $1.21.
Let x be the original price per pound of apples.
When the price increased, the new price became x + 0.75.
Sam bought 3 pounds of apples at the new price for a total of $5.88. This can be expressed as:
3(x + 0.75) = 5.88
Expanding the left side of the equation, we get:
3x + 2.25 = 5.88
Subtracting 2.25 from both sides, we get:
3x = 3.63
Dividing by 3, we get:
x = 1.21
Therefore, the original price per pound of apples was $1.21.
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A rectangular pool 24 feet long, 8 feet wide, and 4 feet deep is filled with water. Water is leaking from the pool at the rate of 0. 40 cubic foot per minute. At this rate how many hours will it take for the water level to drop 2 feet?
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It will take 32 hours for the water level to drop 2 feet.The rate of leaking is 0.40 cubic feet per minute.
To calculate how many hours it will take for the water level to drop 2 feet, we can use the following formula:Time (in hours) = Volume of water (in cubic feet) ÷ Rate of leaking (in cubic feet per minute)In this case, the volume of water is equal to the volume of the pool, which can be calculated using the formula V = l × w × h, where l is the length of the pool, w is the width of the pool, and h is the height of the pool. In this case, l = 24, w = 8, and h = 4, so the volume of the pool is V = (24)(8)(4) = 768 cubic feet.The rate of leaking is 0.40 cubic feet per minute.Therefore, the time (in hours) it will take for the water level to drop 2 feet is equal toTime (in hours) = 768 cubic feet ÷ 0.40 cubic feet per minute Time (in hours) = 1920 minutes Time (in hours) = 32 hoursTherefore, it will take 32 hours for the water level to drop 2 feet.
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