A 900 car parking lot is divided into 3 sections. There are 330 spots in Section 1. Section 2 holds 160 more than the amount of cars in Section 3. How many spots does Section 3 have?
Section 3 have 205 spots, according to the given question.
What do you mean by section?
A section is a part or component that, when combined with the other components, forms the total. like the rhythm section of the band that is reviewed in the arts section of a newspaper.
According to the given question,
We have the given information:
A 900 car parking lot is divided into 3 sections. There are 330 spots in Section 1. Section 2 holds 160 more than the amount of cars in Section 3.
Firstly,
900 - 330 = 570 (spots in section 2 and 3)
Secondly,
There are x spots in section 3 and (x + 160) spots in section 2.
So we have :
x + x + 160 = 570
2x = 410
x = 205
Therefore, the section 3 have 205 spots.
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The point A(7, 1) is reflected over the point (4, 0) and its image is point B. What are the coordinates of point B?
The coordinates of point B is (1, -1)
Define Reflection on a Point
A reflection point occurs when a figure is constructed around a single point known as the point of reflection or centre of the figure. For every point in the figure, another point is found directly opposite to it on the other side.
Given,
Point A (7, 1) is reflected over the point (4, 0)
We know that,
The reflected point will be equidistant from the point over which it is reflected as the original point and in the same line as the original point and the reflected point.
Find the difference between the x and y values of the given points
For x value = 4 - 7 = -3
For y value = 0 - 1 = -1
Now, add the value to the reflection point.
x - axis : 4 +(-3) = 1
y - axis : 0 + (-1) = -1
Hence, the coordinates of point B is (1, -1)
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What sides of a square are congruent?
Answer:
Square! #N#The sides and angles of a square: The sides of a square are all congruent (the same length.) The angles of a square are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle.". So, a square has four right angles. Opposite angles of a square are congruent.
hope this helps
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Step-by-step explanation:
How do you calculate a translation?
Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.
A translation occurs whenever an object is transported from one place to another without altering its dimension, form, or orientation. We can draw the translation in the coordinate plane if we know which way and how far to move the figure.
The triangle can be translated in the following ways:
Step 1: Find the coordinates of each of the triangle's vertices in step one.
Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.
Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.
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Construct The Cumulative Frequency Distribution For The Given Data. Construct The Cumulative Frequency Distribution.
The cumulative frequency distribution is a type of statistical representation that shows the total number of data points in a sample that are less than or equal to a given value. It is often used to understand the distribution of data within a sample and to identify patterns or trends.
To construct a cumulative frequency distribution for given data, follow these steps:
Sort the data in numerical order from lowest to highest.Determine the number of data points in the sample. This is the total frequency for the distribution.Calculate the cumulative frequency for each data point by adding the frequency of that point to the cumulative frequencies of all previous points.Create a table or graph with the data points as the x-axis and the cumulative frequencies as the y-axis.For example, given the following data:
[tex]10, 15, 20, 25, 30, 35, 40, 45[/tex]The cumulative frequency distribution would be:
Data Point | Frequency | Cumulative Frequency
10 | 1 | 1
15 | 1 | 2
20 | 1 | 3
25 | 1 | 4
30 | 1 | 5
35 | 1 | 6
40 | 1 | 7
45 | 1 | 8
This distribution could be represented in a graph by plotting the data points on the x-axis and the cumulative frequencies on the y-axis and connecting the points with a line.
The answer is general since the data is not provided.
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Who created 3x 1 problem?
The titular conjecture was most likely put forth in the 1930s by Lothar Collatz.
Describe odd number.Odd numbers are those that cannot be evenly divided by two. It cannot be evenly split into two different integers. An odd number will leave a leftover when divided by two. 1, 3, 5, 7, and other odd numbers are instances. The idea of odd numbers is identical to that of even numbers. Odd numbers satisfy the congruence when divided by two, leaving a residue of 1. A number's parity indicates how odd it is; an odd number has parity 1, whereas an even number has parity 0.
Given
The titular conjecture was most likely put forth in the 1930s by Lothar Collatz.
The issue seems like a practical joke.
Pick any number you like. Add 1 and multiply it by 3 if it's an odd number.
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Consider the mathematical sentence 2 = 2.
Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make this true sentence false? Choose variables and constants to create new mathematical sentences to justify your conclusion.
Answer: There is no variable or constant that you can add, subtract, multiply, or divide between the two sides of the sentence to make the sentence false by adding, subtracting, multiplying, or dividing each side of the sentence by the variable x x x and the constant 3.
Answer: No. Adding, subtracting, multiplying, and dividing both sides by the variable x x x and the constant 3 gives a true statement for each operation so there is no variable or constant that you can add, subtract, multiply, or divide to both sides to make the sentence false.
Step-by-step explanation:
Find The Slope Of The Given Points -> (-4,5) And (9,8)
Answer:
m = 3/13
Step-by-step explanation:
The Slope is rise/run or (y2 - y1) / (x2 - x1)
We see the y increase by 3 and the x increase by 13, so the slope is
m = 3/13
Answer:
Step-by-step explanation:
To find the slope of the line that passes through the points (-4,5) and (9,8), we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
= (8 - 5) / (9 - (-4))
= 3 / 13
= 0.231
Therefore, the slope of the line that passes through the points (-4,5) and (9,8) is 0.231.
What does translation of a triangle mean?
A translation occurs whenever an object is transported from one place to another without altering its dimension, form, or orientation.
A translation occurs whenever an object is transported from one place to another without altering its dimension, form, or orientation. We can draw the translation in the coordinate plane if we know which way and how far to move the figure.
The triangle can be translated in the following ways:
Step 1: In the first step, determine the coordinates of each vertex of the triangle.
Step 2: To translate each point, add the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. Add a negative number if either the vertical or horizontal translation for these translations is downhill or to the left.
Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.
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Which expression is equivalent to 2x² 4 3x² 2x 7?
The equivalent expression to 2x² + 4 + 3x² + 2x + 7 is 8x² + 2x + 11.
What is equivalent equation?An equivalent equation is an equation that has the same solution set as another equation. It is a mathematical expression that is equal in value to another expression. The two equations can often be solved using the same methods and yield the same result. Equivalent equations are useful in solving complex mathematical problems by breaking them down into simpler equations.
This is obtained by combining the like terms such as 2x² and 3x², which results in 5x², and 4 and 7 resulting in 11. The expression can be written as 5x² + 2x + 11. The final result can be obtained by multiplying 5x² with 2, which results in 8x². Hence, the equivalent expression is 8x² + 2x + 11.
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if keene company issues 9,000 shares of $5 par value common stock for $160,000, the account
Answer: $115,000
Step-by-step explanation:
The common stock is 9000 times 5 = $45000
To Paid-in Capital in Excess of Par = 160,000 - 45,000 = $115,000
How do you find the potential roots of a function?
We apply the rational root theorem to identify potential rational roots.
Given,
How do you identify a possible logical root?
We can utilize the following parameters in our calculation based on the question:
We have to calculate the potential rational root of a function;
Here,
The following procedures are used to apply the rational root theorem to the possible rational root.
Learn the constant term's components (p)Discover the factors that make up the leading coefficient (q)Discover each potential p/q value.Subtract duplicates from the aforementioned list of rational zeros.Learn more about potential roots here;
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4. Which graph best represents the equation that has the roots x
Answer:
B
Step-by-step explanation:
this just means that the graph has to have x-intercepts (y = 0) at these x-values.
so, which graph intersects the x-axis at x = -7/3 and x = 1/2 ?
only B does that.
the others have other x-intercept points.
The grade point average6of 20 college enior elected at random from a graduating cla are a
The mean of grade-point averages of 20 college seniors selected at random from a graduating class is 2.50.
What is Mean?Mean is the average of all numbers in the data set. The average can be found by dividing the sum of all numbers in the observed data by the number of data observations. This helps researchers, statisticians, etc. to find mean values in datasets. The formula for calculating the
average is:
mean = sum of values / number of values
It is denoted by X-bar.
We have the grade-point averages of 20 college seniors. The the random sample of graduating class as :
2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3
The Sum of grade point averages of 20 college seniors is calculated as follows,
∑ x = 2.2 + 1.6 + 2.7 + 2.2 + 2.4 + 2.6+ 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.3 + 3.3 + 2.8 + 2.0 + 3.2 + 2.1 + 2.0 + 2.9 + 1.3
∑x = 50
Total number of colleges , n = 20
Mean of distribution is calculated as follows,
X- bar = ∑x / n
where n is number of observations
X- bar = 50/20
=> X-bar = 2.5
Hence, required mean is 2.5 ..
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Complete question:
The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3 Calculate the mean?
Can anyone help me with this question?
Given that X = [3, 5) and Y = (4, 9). Find A ∪ B
Answer:
A ∪ B = [3, 9)
Step-by-step explanation:
Set X is 3, and all number greater than 3 up, but not including, 5.
Set Y is all numbers from 4 to 9, but not including 4 or 9.
The union of the sets is all numbers from 3 up to 9, including 3 but not including 9.
A ∪ B = [3, 9)
The probability that it rains in London on any particular day is 0.5.
If it rains then the probability of it raining the following day decreases to 0.15.
Consider the next two days. What is the probability it rains on both days?
The probability it rains on both days is 0.175
How to determine the probability it rains on both days?From the question, we have the following parameters that can be used in our computation:
P(Rain) = 0.5
P(Rain next day) = P(Rain) - 0.15
The probability it rains on both days is then calculated as
P(Rain both days) = P(Rain next day) * P(Rain)
Substitute the known values in the above equation, so, we have the following representation
P(Rain both days) = 0.5 * (0.5 - 0.15)
Evaluate
P(Rain both days) = 0.175
Hence, the probability is 0.175
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Please help me !!!!!!!!
Answer:
The Eastern Continental Trail is 5,376 miles and the Erie Canalway Trail is 384 miles
Step-by-step explanation:
I took 5,760 divided it by 15 and got 384, I then subtracted 5,760 by 384 and got 5,376
A company that makes chow mix and use 138 lb of peanuts for every 2/3 lb of reasons they make 245 lb of trail mix using only peanuts and raisins. How many pounds of peanuts do they use?
The number of pounds of peanuts the company uses is 6 pounds peanuts/1 pound raisins * 33 pounds raisins = 198 pounds peanuts.
To solve this problem, you can set up a system of equations to represent the given information. The first equation represents the fact that the company uses 138 pounds of peanuts for every 2/3 pound of raisins:
138 pounds peanuts / 2/3 pound raisins = x pounds peanuts
The second equation represents the fact that the company makes 245 pounds of trail mix using only peanuts and raisins:
x pounds peanuts + y pounds raisins = 245 pounds trail mix
To solve for the number of pounds of peanuts used, you can substitute the first equation into the second equation:
(138 pounds peanuts / 2/3 pound raisins) + y pounds raisins = 245 pounds trail mix
Multiplying both sides of the equation by 2/3 to eliminate the fraction, we get:
138 pounds peanuts + (2/3)y pounds raisins = (2/3)(245 pounds trail mix)
Combining like terms, we get:
138 pounds peanuts + (2/3)y pounds raisins = (2/3)(245 pounds)
Simplifying the right side of the equation, we get:
138 pounds peanuts + (2/3)y pounds raisins = 160 pounds
Subtracting 138 pounds from both sides of the equation, we get:
(2/3)y pounds raisins = 160 pounds - 138 pounds
Simplifying the right side of the equation, we get:
(2/3)y pounds raisins = 22 pounds
Dividing both sides of the equation by 2/3, we get:
y pounds raisins = (3/2)(22 pounds)
Simplifying the right side of the equation, we get:
y pounds raisins = 33 pounds
Substituting this value into the first equation, we get:
138 pounds peanuts / 2/3 pound raisins = 33 pounds raisins
Multiplying both sides of the equation by 2/3, we get:
138 pounds peanuts / (2/3)(33 pounds raisins) = 33 pounds raisins
Simplifying the right side of the equation, we get:
138 pounds peanuts / 22 pounds raisins = 33 pounds raisins
Dividing both sides of the equation by 22 pounds raisins, we get:
138 pounds peanuts / 22 pounds raisins / 33 pounds raisins = 33 pounds raisins / 22 pounds raisins
Simplifying the equation, we get:
6 pounds peanuts / 1 pound raisins = 33 pounds raisins / 22 pounds raisins
This equation shows that for every 1 pound of raisins the company uses, they use 6 pounds of peanuts.
Therefore, the number of pounds of peanuts the company uses is 6 pounds peanuts/1 pound raisins * 33 pounds raisins = 198 pounds peanuts.
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138 pounds peanuts / 2/3 pound raisins = x pounds peanuts
The second equation represents the fact that the company makes 245 pounds of trail mix using only peanuts and raisins:
x pounds peanuts + y pounds raisins = 245 pounds trail mix
(138 pounds peanuts / 2/3 pound raisins) + y pounds raisins = 245 pounds trail mix
138 pounds peanuts + (2/3)y pounds raisins = (2/3)(245 pounds trail mix)
138 pounds peanuts + (2/3)y pounds raisins = (2/3)(245 pounds)
138 pounds peanuts + (2/3)y pounds raisins = 160 pounds
(2/3)y pounds raisins = 160 pounds - 138 pounds
(2/3)y pounds raisins = 22 pounds
y pounds raisins = (3/2)(22 pounds)
y pounds raisins = 33 pounds
138 pounds peanuts / 2/3 pound raisins = 33 pounds raisins
138 pounds peanuts / (2/3)(33 pounds raisins) = 33 pounds raisins
138 pounds peanuts / 22 pounds raisins = 33 pounds raisins
138 pounds peanuts / 22 pounds raisins / 33 pounds raisins = 33 pounds raisins / 22 pounds raisins
6 pounds peanuts / 1 pound raisins = 33 pounds raisins / 22 pounds raisins
This equation shows that for every 1 pound of raisins the company uses, they use 6 pounds of peanuts.
Therefore, the number of pounds of peanuts the company uses is 6 pounds peanuts/1 pound raisins * 33 pounds raisins = 198 pounds peanuts.
Please help ASAP. I don’t understand the question.
Answer:
Senior citizen ticket: $9
Child ticket: $13
Step-by-step explanation:
This can be solved by creating a system of equations:
[tex]f(x)=7x+5y=128[/tex]
and
[tex]g(x)=8x+10y=202[/tex]
where x is the cost of a senior citizen ticket and y is the cost of a child ticket.
Solve equation 2 for 5y:
[tex]8x+10y=202\\10y=202-8x\\\frac{10y}{x}=\frac{202-8x}{2}\\5y=101-4x[/tex]
Substitute (101-4x) for 5y in equation 1:
[tex]7x+(101-4x)=128\\3x+101=128\\(3x+101)-101=(128)-101\\3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]
Substitute 9 for x in equation 2:
[tex]8(9)+10y=202\\72+10y=202\\(72+10y)-72=(202)-72\\10y=130\\\frac{10y}{10}=\frac{130}{10}\\y=13[/tex]
A senior citizen ticket costs $9 and a child's ticket costs $13.
To check these values, insert them into the equations:
[tex]128=7(9)+5(13)\\128=63+65\\128=128[/tex]
and
[tex]202=8(9)+10(13)\\202=72+130\\202=202[/tex]
A triangle has sides with lengths of 65 kilometers, 72 kilometers, and 97 kilometers. Is it a
right triangle?
Answer:
no
Step-by-step explanation:
Graph the inequality. 3x+4y≥20
see below pictures
Answer:
A.
Step-by-step explanation:
Just put the equation 3x+4y≥20 into y=mx+b form. Subtract 3x from both sides so you get 4y ≥ -3x+20
then divide everything by 4 to isolate the y.
You would get y ≥ -3/4+ 5. Then just use the slope and y-intercept to graph.
If ≥ symbol is used, shade above the line.
which expression is equivalent to 179x44?
[tex]179\times44[/tex]
[tex]=\fbox{7876}[/tex]
__________________________________________________________
The following expressions are equivalent to [tex]179\times44[/tex]:
[tex](179 \times 40) + (179 \times 4) = 179 \times(40 + 4)[/tex]
[tex]4000 + 2800 + 360 + 280 +36[/tex]
[tex](100 \times44) + (70\times44) + (9\times44) = 44 \times (100 + 70 +9) = 44 \times 179[/tex]
Darnell rents some tables for $362 and some chairs for $3 each for a party. He spends a total of $500.
Answer: 46 chairs
Step-by-step explanation:
First, we have to find the amount of money Darnell spent to rent the chairs by taking
500 - 362 = $138
Then take $138 divided by $3 = 46 chairs
So he rent 1 table and 46 chairs
Answer:
let x - chairs
Darnell rents some tables for $362 and some chairs for $3 each for a party. He spends a total of $500.
500 = 362 + 3x
500 - 362 = 3x
138 = 3x
x = 46
46 chairsCHECKING:500 = 362 + 3(46)
500 = 362 + 138
500 = 500
Therefore, Darnell rents 46 chairs.
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Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Which equation most likely describes the relation in the following table?
2 3 4 5
y 4 5 6 7
KA
X
O y = 2x
Oy--2-x
Oy=x+2
0y=x-2
Answer:
y = x + 2
Step-by-step explanation:
Each y value is 2 greater than the x value
What is the formula for the complex?
An equation of the form z= a+ib, where a and b are real numbers, is defined to be a complex number. The real part is denoted by Re z = a and the imaginary part is denoted by Im z = ib.
Now, According to the question:
Let's know:
What are Complex Numbers?
A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z). Also, ib is called an imaginary number.
Representation of the Complex Numbers:
z = a + ib
'a' represent the Real part
'ib' represent imaginary number and imaginary part.
Some of the examples of complex numbers are :
2 + 3i , -3 - 4i , 1/2 + 1/3i etc.
Power of i
The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers. We have the value of [tex]i^2[/tex] = -1, and this is used to find the value of √-4 = √[tex]i^2[/tex]4 = ±2i The value of [tex]i^2[/tex] = -1 is the fundamental aspect of a complex number. Let us try and understand more about the increasing powers of i.
i = √-1[tex]i^2[/tex] = -1[tex]i^3[/tex] = i.[tex]i^2[/tex] = i(-1) = -i[tex]i^4[/tex] = [tex](i^2)^2[/tex] = [tex](-1)^2[/tex] = 1[tex]i^4^n[/tex] = 1[tex]i^4^n^+^1[/tex] = i[tex]i^4^n^+^2[/tex] = -1[tex]i^4^n^+^3[/tex] = -iLearn more about Complex numbers at:
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A study indicated that residents of Hillsdale wasted 8,127 gallons of water this year. That is 10% less than they wasted last year. How many gallons of water did the city's residents waste last year?
The number of gallons of water the city's residents waste last year are 7388.181 by percentage concept.
What is meant by percentage?A quantity or ratio that is expressed as a fraction of 100 is known as a "a%" in mathematics (from the Latin per centum, "by a hundred"). A% is a dimensionless (pure) number without any measuring units. The Latin word "percentum," which means "hundred" or "by the hundred," is the source of the English term "percent." Over time, the Italian term per cento, which originally meant "for a hundred," shrank to become the symbol for "percent." Per was frequently abbreviated to "p" and finally disappeared altogether.
No. of gallons of water wasted by Hillsdale are 8127 gallons.
110% -----> 8127
100% ----->?
x=(100×8127)/110
x= 7388.181
Therefore, the number of gallons of water the city's residents waste last year are 7388.181.
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Determine the exact surface area of the cylinder in terms of π.
The exact surface area of the cylinder in terms of π is = 10 π
What is the answer for surface area?
As a refresher, the surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions. It is calculated in square units.
Where can I find the surface area?
A three-dimensional shape's surface area is the total area on its surface. Add the areas of each of the six rectangular sides of a cuboid to determine its surface area. The cuboid's length, width, and height can also be labeled, and the surface area (SA) can be calculated using the formula SA=2lw+2lh+2hw.
Given that :
Radius = 1 1/4 cm
Height = 2 3/4 cm
Surface area is 2π r h + 2π r² = 2π ( 1 1/4 cm*2 3/4 cm) + 2π (1 1/4)²
= 2π (55/16) + 2π (25/16)
= 160/16 π
= 10 π
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What is the coefficient of x in the expression 5x³ 7x²?
The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. This means that in the expression 5x³ 7x², 5 will be multiplied by x three times and seven will be multiplied by x twice.
The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. To calculate the coefficient of x, we need to first expand the expression. The expanded form of the expression 5x³ 7x² is 5x³ + 7x². Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5. This can be understood by considering the following example:
Let's say we have the expression 5x³ 7x² = 5x³ + 7x².
Here, 5 is multiplied by x three times and seven is multiplied by x twice. This means that the coefficient of x is 5. This can be written as 5x³ + 7x² = 5x³ + 7x x 1 = 5x(x² + x). Hence, the coefficient of x in the expression 5x³ 7x² is 5.The coefficient of x in the expression 5x³ 7x² can be calculated using the following steps:
Expand the expression 5x³ 7x².
The expanded form of the expression is 5x³ + 7x².
Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5.
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Can two triangles like SSS?
The two triangles are similar under SSS conditions if all three sides of one triangle are in proportion to the three sides of another triangle.
What is the SSS condition?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
They are in alignment with one another when moved.
According to the SSS test for triangle similarity, two triangles are considered similar if their third sides are proportionate to one another.
Therefore, the two triangles are similar under SSS conditions if all three sides of one triangle are in proportion to the three sides of another triangle.
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How will you describe the graph of polynomial function if the degree is odd number and the leading coefficient is positive?
We say cubic polynomial if the degree of polynomial is odd number, and the graph is said cubic polynomial graph.
What is the degree of polynomial function?The equation which has only positive integer exponent are called polynomial function. Such as 6x³+4x²+2x+1=0 where the power 3,2, 1 are the degree of polynomial.
What is cubic polynomial?The polynomial function whose first degree is odd number is called cubic polynomial.
hence, the graph is cubic polynomial.
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