The highlights listed above indicate that: 35 - 5D reflects the quantity of postcards sold.
What are expressions?
The highlights listed above indicate that: 35 - 5D reflects the quantity of postcards sold.
The examples include:
D indicates the cost of each postcard.
35 - 5D is the number of postcards that were sold.
D(35 - 5D) denotes the revenue resulting from the sales.
Describe phrases.
Mathematical assertions called expressions include all of the followings.
Mathematical operator variables for numbers
The phrase is given as follows:
The query leads us to believe that:
D indicates the cost of each postcard
D(35 - 5D) denotes the revenue resulting from the sales.
The highlights listed above indicate that: 35 - 5D reflects the quantity of postcards sold.
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Circle O shown below has a radius of 3 inches. To the nearest tenth of an inch,
determine the length of the arc, x, subtended by an angle of 118°.
3 inches
O 0=118°
Answer: 6.2
Step-by-step explanation:
Using the arc length formula,
[tex]x=\frac{118}{360}(2)(3)(\pi) \approx 6.2[/tex]
g assume a quarterback completes 44% of his passes. what is the probability that the quarterback completes his first pass on his 4th attempt?
The probability that the quarterback completes his first pass on his 4th attempt is 0.44
The term probability in math is defined as the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes
Here we have given that assume a quarterback completes 44% of his passes.
Here we have to convert the percentage into decimal form, then we get,
=> 44/100
When we divide it, then we get the probability that the quarterback completes his first pass on his 4th attempt is written as,
=> 0.44
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please help i don't know this.
Answer:
it is you just find the total of the 29 mgs
A restaurant uses square tables with sides of length 1.3 m and round tablecloths with diameter 2 m determine the percentage of each tablecloth which overhangs its Table
Answer:
The tablecloth overhang is the amount of tablecloth that hangs over the edges of the table.
The area of the square table is 1.3m * 1.3m = 1.69m^2.
The area of the round tablecloth is pi * (diameter/2)^2 = pi * (2/2)^2 = pi * 1^2 = pi * 1 = pi m^2.
The overhang is the difference between the area of the round tablecloth and the square table.
Overhang = pi m^2 - 1.69m^2 = pi - 1.69
To find the percentage of the tablecloth that overhangs the table, we can divide the overhang by the area of the tablecloth and multiply by 100.
Overhang % = (pi - 1.69) / pi * 100 = (pi - 1.69) / pi * 100 = (3.14 - 1.69) / 3.14 * 100 = 1.45 / 3.14 * 100 = 46.14%.
So, the percentage of the tablecloth that overhangs the table is 46.14%.
(a−2b)3 when a=−3 and b=−12
help plsss
(the three is an exponent)
Answer:
9261
Step-by-step explanation:
[tex](-3-2(-12))^3=(-3+24)^3=21^3=441(21)=9261[/tex]
How many minutes are in 3.5 days?
Answer:
5,040 minutes
Step-by-step explanation:
[tex]\frac{3.5 days}{1}[/tex] x [tex]\frac{24 hours}{1 day}[/tex] x [tex]\frac{60min}{1hour}[/tex]
[tex]\frac{3.5days x 24 hours x 60 minutes}{1day x 1 hour}[/tex] Cross cancels the words days and hours
[tex]\frac{3.5 x 24 x60min}{1x1}[/tex]
[tex]\frac{5040minutes}{1}[/tex] = 5040 minutes
while traveling to europe, phelan exchanged 250 us dollars for euros. he spent 150 euros on his trip. after returning to the united states he converts his money back to us dollars. how much of the original 250 us dollars does phelan now have? round to the nearest cent. 1 european euro
Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.
First, we need to find out how many euros Phelan has left after spending 150 euros on his trip.
We are taking the exchange rate of 1 euro = 1.08 USD
He started with 250 US dollars, which he exchanged for 250 / 1.08 = 231.48 euros.
After spending 150 euros, he has 231.48 - 150 = 81.48 euros left.
To convert the euros back to US dollars, we need to multiply the number of euros by the exchange rate (1 US dollar = 1.08 euros)
So, Phelan now has 81.48 x 1.08 = 87.79 US dollars, which is 87.79 dollars of the original 250 dollars.
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Esmeralda draws a scale drawing of a rectangular community garden she helps manage. The scale factor from the drawing to the garden is 20. Based on the measurements of Esmeralda's drawing, what is the perimeter of the community garden
The perimeter of the rectangular community garden, after the size has been altered by a factor of 20, is 130 feet.
In two-dimensional shapes, a perimeter is defined to be a closed path that surrounds or outlines a shape. The perimeter of a circle or an ellipse though is called the circumference.
The perimeter P of a rectangle is equal to two times the length l plus two times the width w [P = 2(l + w)]. The length and the width of the rectangular community garden are consecutively 2,25 and 1 feet, and the scale factor is 20.
Therefore, the perimeter of the community garden is
P = 2(l + w) · 20
P = 2(2,25 + 1) · 20
P = 6.5 · 20
P = 130 feet.
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Answer:
130 feet
Step-by-step explanation:
dora is painting a house. i f she works by herself, it takes her 40 hours. if khoi helps, her it takes them 28 hours to complete the job. how long will it take khoi working by herself. express the answers in hours and minutes.
On solving the provided question, we can say that by unitary method she work rate = 24 hours x 3/120 = 72/120
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
she painter work rate i=1/40= 3/120 40 hours to complete
her assistant work rate= 1/60 = 2/120 60 hours to complete.
Combined work = 5/120
house could be painted in 24 hours each with both of them working together.
she work rate = 24 hours x 3/120 = 72/120
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For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that of U.S. employers were likely to require higher employee contributions for health care coverage in 2009. Suppose the survey was based on a sample of companies.
Therefore, 0.4854 to 0.5546 is the 95% confidence range for the percentage of businesses that are anticipated to need greater employee payments for health insurance coverage in 2009.
A. Computation the margin of error
First step is to calculate the Confidence level using this formula
Confidence level= 1 -α
Where,
α=0.95
Let's enter the formula.
Level of confidence = 1-0.95
Level of confidence = 0.05
The following step is to use this formula to get Z.
Zα/2
Let's enter the formula.
Z= 0.05/2
Z=0.025
Finding the Z score of Z=0.025 is the third stage.
Zα/2=1.96
Let's now use this approach to calculating the margin of error.
Margin of error=Zα/2√p(1-p)/n
Where,
Zα/2=1.96
p=0.52
n=800
Let plug in the formula
Margin of error=1.96√0.52(1-0.52)/800
Margin of error=1.96√0.52(0.48)/800
Margin of error=1.96√0.2496/800
Margin of error=1.96√0.000312
Margin of error=0.0346
Therefore Margin of error will be 0.0346
B. Calculating the proportion of businesses anticipated to demand greater employee payments for health insurance coverage in 2009 with a 95% confidence interval
computation for the confidence interval's outer limits
p- Zα/2√p(1-p)/n
Where,
Zα/2=1.96
p=0.52
n=800
Let plug in the formula
Confidence interval=0.52-1.96√0.52(1-0.52)/800
Confidence interval=0.52-1.96√0.52(0.48)/800
Confidence interval=0.52-1.96√0.2496/800
Confidence interval=-0.52-1.96√0.000312
Confidence interval=0.4854
Computation for the boundaries of confidence interval
Using this formula
p+ Zα/2√p(1-p)/n
Where,
Zα/2=1.96
p=0.52
n=800
Let plug in the formula
Confidence interval=0.52+1.96√0.52(1-0.52)/800
Confidence interval=0.52+1.96√0.52(0.48)/800
Confidence interval=0.52+1.96√0.2496/800
Confidence interval=-0.52+1.96√0.000312
Confidence interval=0.5546
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You work as the IT administrator for a small startup company. Lily's computer has two internal hard drives and runs Windows 10. She is concerned that she may accidently delete a file or that her primary hard disk may fail at some future time. She has come to you for suggestions about how to protect her files. Due to the size and revenue of this startup company, resources are somewhat limited.
On solving the provided question, we can say that Due to the size and revenue of this startup company, resources are somewhat limited.
What is size?In mathematics, "Size is an abstraction from the comparison and measurement of long and short items." Comparing or measuring objects allows us to determine their sizes. The amount's size will be decided by this. B. Mass or length with relation to measurement units. The total area of space occupied by a person or object; the size of someone or something. [Count] Box is 5 inches tall, 6 inches broad, and 12 inches long. The mistake was roughly the size of a dime. The size of twins is the same.
People make mistakes, but there is a potential that she can unintentionally destroy a personal file if she is removing something.
Due to the size and revenue of this startup company, resources are somewhat limited.
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is 7/11 a rational number that is not an integer?
Answer:
yes a rational number
Step-by-step explanation:
a rational number has the form
[tex]\frac{a}{b}[/tex] with a and b integers
[tex]\frac{7}{11}[/tex] is in this form and is therefore a rational number
two fair dice are thrown together. what is the probability that the difference between the two outcomes is 3
The probability of getting a difference of 3 when two fair dice are thrown together is 1/9.
What is probability?Probability is the measure of how likely it is that a certain event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. Probability can also be expressed as a percentage or fraction. Probability is used to describe the likelihood of an event occurring, and its calculation is based on the number of possible outcomes of the event.
This is due to the fact that there are 6 possible outcomes for each dice, and 36 possible outcomes when both dice are thrown. The only way to get a difference of 3 is for the first dice to show a 4 (1/6 probability) and the second dice to show a 1 (also 1/6 probability). This gives a combined probability of 1/6 x 1/6 = 1/36, which is 1/9.
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a bus traveled at 25 miles per hour (mi/h) for 10 miles in town, then 45 miles per hour for 17 miles on a rural highway, then 80 miles per hour for 95 miles on and interstate freeway, and, finally, a slow 12 miles per hour for 4 miles in a crowded city before coming to the bus stop. what was the average speed of the bus?
The average speed of the bus is 54.78 mph.
To find the average speed of the bus, we need to find the total distance traveled and the total time taken for the entire trip.
Distance traveled = 10 miles + 17 miles + 95 miles + 4 miles = 126 miles
To find the total time taken, we need to calculate the time taken for each segment of the trip and add them up.
Time taken for 10 miles at 25 mi/h = 10 miles / 25 mi/h = 0.4 hours
Time taken for 17 miles at 45 mi/h = 17 miles / 45 mi/h = 0.378 hours
Time taken for 95 miles at 80 mi/h = 95 miles / 80 mi/h = 1.1875 hours
Time taken for 4 miles at 12 mi/h = 4 miles / 12 mi/h = 0.333 hours
Total time taken = 0.4 hours + 0.378 hours + 1.1875 hours + 0.333 hours = 2.3 hours
Average speed = total distance / total time = 126 miles / 2.3 hours = 54.78 mph
So, the average speed of the bus is 54.78 mph.
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An aquarium holds 8. 6 cubic feet of water. The aquarium is filled up further to hold 9. 2 cubic feet of water. What is the percent of change for the volume of water inside the aquarium?
The per cent of change for the volume of water inside the aquarium is 93.5.
An aquarium carries 8.6 cubic feet of water.
The aquarium is loaded up further to hold 9.2 cubic feet of water.
We have to find the per cent of change for the volume of water inside the aquarium.
A ratio or value that may be stated as a fraction of 100 is a percentage. If we calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The per cent of change for the volume of water inside the aquarium = Water holds by aquarium/Further filled water × 100
The per cent of change for the volume of water inside the aquarium = (8.6/9.2) × 100
The per cent of change for the volume of water inside the aquarium = 93.5%.
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Please help me long division step by step !!!
Answer:
0.850
Step-by-step explanation:
The first step is to write the number in standard form. Then, you place the decimal point in the quotient above the decimal point of the dividend. Then, divide and bring down the other digits such as hundredths, thousandth, and ect.
Is multiplying by .5 the same as dividing by 2?
Answer:
yes because it's like multiplying my 1/2.
when you multiply a number with a fraction its the same as dividing.
Step-by-step explanation:
Example: 6/1 × 1/2 = 3
PLEASE ANSWERRRRRRRRRRRR
Which of the following is a like radical to :
The like radical to [tex]3\sqrt[4]{5x}[/tex] is given as follows:
[tex]7\sqrt[4]{5x}[/tex]
What are like radicals?Like radicals are two radical expressions that have the same indices and radicand.
The concepts of the index and of the radicand of a radical are given as follows:
Radicand: Variable inside the root.Index: The root, if it is square, cube, and so on...In the context of this problem, the radical expression is presented as follows:
[tex]3\sqrt[4]{5x}[/tex]
Hence the index and the radicand are given as follows:
Index: 4.Radicand: 5x.Applying the concept of like radicals, any expression in this format is a like radical to 4 √ 5x.
n(4 √ 5x).
That is, any multiple of the term.
This means that the correct option is given by the first option, with n = 4.
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A taxi charges a base fee of $3. 00 and $0. 15 for every mile of the ride. What would be the cost of a 3. 4 mile ride?
Someone please help me on this…
The cost of a 3.4 mile ride when a taxi charges a base fee of $3.00 and $0.15 for every mile of the ride is $3.51.
Therefore the answer is $3.51
The cost of a 3.4 mile ride can be calculated by multiplying the distance of the ride by the cost per mile and adding the base fee. Here base fee is the fixed charge and $0.15 is the variable charge that depend on distance covered.
To calculate the cost of the ride:
= (3.4 miles * $0.15 per mile) + $3.00 base fee
= $0.51 + $3.00
= $3.51
So, a 3.4 mile ride would cost $3.51.
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Help with geometry similar triangles
The value of x in the similar triangles is 40.
What are similar triangles?Those triangles that looks the same but different in sizes.
And in the similar triangle,
the corresponding sides in proportion to each other and corresponding angles are equal to each other.
Given:
Triangles are similar.
That means,
the corresponding sides are in the proportion to each other.
That means,
(x + 8)/x = 12/10
10x + 80 = 12x
2x = 80
x = 40
Therefore, the value of x is 40.
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What's the percentage of 6 by 5 ?
Answer:
0.3
Step-by-step explanation:
Were you asking for 5% of 6? Because then you would just multiply 6 by 0.05 (because percents are always out of 100%, so converted to decimal it is out of 1) and then get 0.3
Answer: The percentage of 6 by 5 (i.e. 6:5) is 120
Step-by-step explanation:
Given: 6 by 5 i.e. 6/5
Solution: (value/ total value)* 100
hence, (6/5)*100
=1.2*100
=120.
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Question
What equation is graphed in this figure?
Responses
y−4=−23(x+2)
y minus 4 equals negative fraction 2 over 3 end fraction left parenthesis x plus 2 right parenthesis
y+2=−32(x−2)
y plus 4 equals negative fraction 3 over 2 end fraction left parenthesis x minus 2 right parenthesis
y−3=32(x+1)
y minus 3 equals fraction 3 over 2 end fraction left parenthesis x plus 1 right parenthesis
y+1=−23(x−3)
y plus 1 equals negative fraction 2 over 3 end fraction left parenthesis x minus 3 right parenthesis
Number graph that ranges from negative five to five on the x and y axes. A line passes through begin ordered point zero comma one end ordered pair and begin ordered pair two comma negative two end ordered pair
The equation which is graphed in this figure (see attachment) is: C. y + 2 = −3/2(x − 2)
"y plus 4 equals negative fraction 3 over 2 end fraction left parenthesis x minus 2 right parenthesis."
How to determine the number of solutions?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.From the information provided about this graph, we have the following data points on its line:
Points on the x-axis = (0, 2).
Points on the y-axis = (1, -2).
At data point (0, 3), a linear equation of the first line can be calculated in slope-intercept form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-2) = (-2 - 1)/(2 - 0)(x - 2)
y + 2 = -3/2(x - 2)
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Select the correct answer. Y Probability 10 0. 10 20 0. 25 30 0. 05 40 0. 30 50 0. 20 60 0. 10 The probability distribution of y, a discrete random variable, is given in the table. What is the expected value of y? A. 25. 0 B. 26. 5 C. 35. 0 D. 35. 5
The expected value of y is (D.) 35.5.
The expected value of a discrete random variable is found by multiplying each value of the variable by its corresponding probability and then summing these products. In this case, the probability distribution of y is given in the table.
To find the expected value of y, we need to calculate the sum of the products of each value of y and its corresponding probability.
y * probability = y * P(y)
The expected value of y is E(y) = 100.10 + 200.25 + 300.05 + 400.30 + 500.20 + 600.10
= 2 + 5 + 1.5 + 12 + 10 + 6 = 37.
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Aiden measured a line to be 4.1 inches long. If the actual length of the line is 5.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
22.6%.
Step-by-step explanation:
To calculate the percent error of a measurement, you can use the following formula:
Percent Error = (|measured value - actual value| / actual value) x 100%
Plugging in the values from the problem:
Percent Error = (|4.1 inches - 5.3 inches| / 5.3 inches) x 100% = (1.2 inches / 5.3 inches) x 100% = 0.226 x 100% = 22.6%
To the nearest tenth of a percent, the percent error is 22.6%.
Find all vectors u that satisfy the equation (1,1,1) x u = (7, -4, -3). Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. a. The unique solution is u = b. There are infinitely many solutions of the form u = (z), where z is any real number. c. There is no solution.
There is no solution that satisfy the equation (1,1,1) x u = (7, -4, -3).
The term "vector" in mathematics and physics is used informally to refer to some values that cannot be stated by a single integer (a scalar) or to certain members of vector spaces. Though the components of an algebra are frequently not referred to as vectors, any algebra over a field is a vector space. They are sometimes referred to as vectors, mostly for historical reasons.
A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number.
There is no value, not even 0, that would satisfy the equation, which is referred to as "no solution."
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a spherical ball 8 inches in diameter is coated with a layer of ice of uniform thickness. if the ice melts at a rate of 10 cubic inches per min, how fast is the thickness of the ice decreasing when it is 2 inches thick? at the same rate of melting, how fast is the outer surface area of the ice changing?
The surface area of the ice is 16π square inches. At a rate of 10 cubic inches per min, the outer surface area of the ice is changing at 10/16π square inches per min.
To calculate this we have given:
The diameter of the spherical ball is 8 inches, so the radius of the ball is 8/2 = 4 inches.
The volume of a sphere is given by the formula (4/3)πr³, where r is the radius of the sphere.
The volume of the spherical ball with 2 inches of ice is (4/3)π(4³) = (4/3)π64 cubic inches.
The volume of the ice is the volume of the spherical ball with 2 inches of ice minus the volume of the spherical ball without the ice, which is (4/3)π(4³) - (4/3)π(4³ - (2³)) = (4/3)π64 - (4/3)π32 = 32π cubic inches
At a rate of 10 cubic inches per min, the thickness of the ice is decreasing at:
10 cubic inches / 32π cubic inches = 10/32π inches per min
To find the rate at which the outer surface area of the ice is changing, we can use the formula for the surface area of a sphere which is 4πr².
The surface area of the ice is 4π(4-2)³ = 4π4 = 16π square inches.
At a rate of 10 cubic inches per min, the outer surface area of the ice is changing at:
10 cubic inches / 16π square inches = 10/16π square inches per min
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We'll now obtain an estimate of the area of this region with a Riemann Sum, i.e. a collection of rectangles whose combined area approximates the area under the region. On your graph, slice the area up into 4 pieces by drawing 3 evenly spaced vertical lines from the x-axis up to the curve. Then using the left side of each slice as the height, sketch in 4 rectangles on your graph; these four rectangles should overlay the region under 1/x between 1 and 2. What are the x-coordinates of the left edges of the rectangles
The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.
The area of this region with a Riemann Sum is 0.7595.
What does Riemann sum mean?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
Given function is f(x) = 1/x on the interval [1,2] is shown.
The four rectangles of width 1/4 are present.
From the figure we can see that the x coordinate of the left edges of the rectangle are:
1,5/4,6/4,7/4
Now we plug these values in the function to find the height of rectangles.
For x=1 ,f(x) = 1
For x=5/4 ,f(x) = 4/5
For x=6/4 ,f(x) = 4/6
For x=7/4 ,f(x) = 4/7
Now, Area = length*width, and width of each rectangle is 1/4
Area of rectangle 1 = 1*1/4 = 1/4
Area of rectangle 2 = 4/5*1/4 = 1/5
Area of rectangle 3 = 4/6*1/4 = 1/6
Area of rectangle 4 = 4/7*1/4 = 1/7
Total Area is = 1/4+1/5+1/6+1/7 = 0.7595
This is an overestimation of ln(2).
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A charitable organization in Wildgrove is hosting a black tie benefit. Yesterday, the organization sold 22 regular tickets and 74 VIP tickets, raising $10,274. Today, 48 regular tickets and 61 VIP tickets were sold, bringing in a total of $10,261. How much do the different ticket types cost?
The system of equations to describe the condition is,
22x + 74y = 10274
48x + 61y = 10261
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
Yesterday, the organization sold 22 regular tickets and 74 VIP tickets, raising $10,274
Today, 48 regular tickets and 61 VIP tickets were sold, bringing in a total of $10,261
Cost of regular ticket = ?
Cost of VIP ticket = ?
Suppose,
Cost of regular and VIP ticket are respectively, x & y
22x + 74y = 10274
48x + 61y = 10261
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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?A. y = x + 1B. y = x + 5C. y = 5x + 1D.y = 5x + 5
The right option is Option C: y = 5x + 1
The given line passes through the points (5,0) and (0,1).
The slope of the line is found by:
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
This implies that,
[tex]m = \frac{1-0}{0-5} \\m = \frac{-1}{5}[/tex]
The product of the slope of the two perpendicular lines should be negative one.
Thus,
[tex]m_{1} * m_{2} = -1[/tex]
This implies that,
[tex]\frac{-1}{5} * m_{2} = -1[/tex]
Giving us, m2 = 5
We can use the slope intercept formula,
y = mx + b
where b = 1 is the y-value of the y-intercept.
The equation thus becomes,
y = 5x + 1
Therefore, the right option is Option C: y = 5x + 1
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99.99, 99.09, 99.091 leash to greatest
