Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?
Answers
Answer:
The number of tickets sold at the gate is \( G = 211.25\)
The number of tickets sold in advance is \( A = 311.25 \)
Step-by-step explanation:
From the question we are told that
The cost of a tickets at the gate is \(a = \$ 5\)
The cost of a ticket in advance is \(b = \$ 3\)
Let the number of ticket sold in the gate be G
Let the number of ticket sold in advance be A
From the question we are told that
One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as
\(G + 100 = A\)
From the question we are told that
The total revenue from ticket sales was $1990 and this can be mathematically represented as
\(5 G + 3A = 1990\)
substituting for A in the equation above
\(5 G + 3[G + 100]= 1990\)
\(5 G + 3G + 300= 1990\)
\( 8G + 300= 1990\)
\( 8G = 1690\)
=> \( G = 211.25\)
Substituting this for G in the above equation
\(5 [211.25] + 3A = 1990\)
=> \( 3A = 1990 - 1056.25\)
=> \( A = 311.25 \)
Related Questions
which of the following correctly relates the measures of the diameter (d) and radius (r) of a circle
Answers
The equation which correctly relates the measure of diameter and radius of a circle is (c) r = d/2.
The Diameter (d) of a circle is defined as the distance across the circle through its center. The radius (r) of a circle is defined as the distance from the center of the circle to any point on the circle.
We know that the radius of the circle is half of diameter, because it extends from the center to the edge of the circle, while the diameter extends all the way across the circle.
So, we can express the relationship between d and r as:
⇒ d = 2r
To solve for r, we can divide both sides by 2:
We get,
⇒ r = d/2
Therefore, The correct equation is Option (c) r = d/2.
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The given question is incomplete, the complete question is
Which of the following correctly relates the measures of the diameter (d) and radius (r) of a circle?
(a) d = r/2
(b) r = 2d
(c) r = d/2
(d) d = 2/r
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
Answers
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
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Explain the meaning of probability. What does it mean if an event has a probability of 0? Give an example. What does it mean if an event has a probability of 1? Give an example. What does it mean if an event has a probability of 1/2? Give an example. (LONG ANSWERS ONLY)
Answers
Answer:
If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.
Step-by-step explanation:
Hope this helps!
Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.
Probability can be calculated using the following expression:
\( \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} \)
When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.
When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.
An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.
A group of people were asked if they had run a red light in the last year. 363 responded "yes", and 138
responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Answers
Answer:
363/501
Step-by-step explanation:
363+138=501.........
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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Find the slope of a parallel line x+5=y
Answers
Answer:
THE SLOPE IS 1
Step-by-step explanation:
the slope of a line is always the x and x = 1. For example, y = 2x -9, 2 is the slope.
How would you eliminate the
denominators of the equation:
2
1
2+4= Ta
3
4
Multiply each term by 4 only
Multiply each term by 3 only
multiply each term by the LCM of 3 and 4
which is 6
multiply each term by the LCM of 3 and 4
which is 12
Answers
Answer:
Multiply each term by LCM of 3 and 4 which is 12
Step-by-step explanation:
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answers
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
WILL MARK BRAINLIEST
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the
variables represent?
A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is
the price per pound of chocolate.
B) The correct equation is 5x + y = 24, where x is the combined price per pound of
coffee and chocolate, and y is the total number of pounds purchased.
C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of
coffee and chocolate, and y is the total number of pounds purchased.
D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and
y is the price per pound of coffee.
Answers
Answer:
AAAAAAAAAAAA answer is A
Step-by-step explanation:
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet?
Group of answer choices
439.6 feet
3846.5 feet
109.9 feet
1758.4 feet
Answers
The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.
The formula to calculate the length of an arc is given by:
Length of arc = (θ/360) * 2πr
Where:
θ is the central angle of the arc (in degrees)
r is the radius of the circle
In this case, since the handler is creating a full circle, the central angle is 360 degrees.
Length of arc = (360/360) * 2π * 70
Length of arc = (1) * 2π * 70
Length of arc = 2π * 70
Length of arc = 140π
To find the approximate value in feet, we can use the approximation π ≈ 3.14159.
Length of arc ≈ 140 * 3.14159
Length of arc ≈ 439.8204 feet
Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
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On a number line, 7.05 would be located Choose all answers that make a true statement.
7.05
A. between 8 and 9
B. to the right of 7.02
C. to the left of 7.08
D. between 8.0 and 8.1
Answers
On a number line, 7.05 would be located
B. to the right of 7.02C. to the left of 7.08How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Number = 7.05
The analysis of its position s as follows:
A. between 8 and 9: False. 7.05 is to the left of 8 and is not between 8 and 9.B. to the right of 7.02: True. 7.05 is greater than 7.02, so it is to the right of 7.02 on the number line.C. to the left of 7.08: True. 7.05 is less than 7.08, so it is to the left of 7.08 on the number line.D. between 8.0 and 8.1: False. 7.05 is not between 8.0 and 8.1.So, the true statements are B and C.
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Can someone help find the surface area, then round the answer to the nearest whole number please?
Answers
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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4x^2 times what equals -5x^2
Answers
Answer:
-1.25
Step-by-step explanation:
-5/4=
-1.25
check answer
4*-1.25= -5
Suppose f(x) =8^3x and g(x) =8^4x which of these function operations are correct select all that apply
Answers
Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:
A. (f + g)(x) = \(8^{3x} + 8^{4x}\)
B. (f × g)(x) = \(8^{7x}\)
C. (f - g)(x) = \(8^{3x} - 8^{4x}\)
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:
(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)
(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)
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Suppose that Andrea told you that “Blake and I started out with the same number of marbles, but I gave him one of mine. Now Blake has one more marble than me.” Is Andrea’s reasoning incorrect? If so, how can you help Andrea identify her misunderstanding?
Answers
I can explain it best by suggesting both Andrea and Blake start with 10 marbles.
If Andrea gave one (1) marble to Blake, Andrea now has 9 and Blake has 11.
Suppose that a poll taken 10 years ago found that 55% of parents spank their children. Suppose a recent poll of 500 adults with children finds that 242 indicated that they spank their children. Complete parts (a) and (b) below. (a) Assuming parents' attitude toward spanking has not changed since the original poll, how many of the 500 parents surveyed would be expected to spank their children?
Answers
Answer:
Of the 500 parents surveyed 275 would be expected to spank their children.
Step-by-step explanation:
Let the random variable X represent the number of parents who spank their children.
It is provided that, from previous studies, p = 55% of parents spank their children.
A random sample of n = 500 adults were selected.
The event whether a parent spank their children is independent of other parents.
The random variable X thus follows a Binomial distribution with parameters n = 500 and p = 0.55.
The expected value of a Binomial random variable is:
\(E(X)=np\)
\(=500\times 0.55\\=275\)
Thus, of the 500 parents surveyed 275 would be expected to spank their children.
From the 500 parents surveyed, the number of parents that will be expected to spank their children is 275 parents.
Number of parents surveyed = 500
Percentage of parents that spank their children = 55%
Therefore, from the 500 parents surveyed, the number of parents that will be expected to spank their children will be:
= 55% × 500
= 0.55 × 500
= 275
Therefore, the number of parents will be 275 parents.
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Pls help me with this question
Answers
The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.
When two lines intersect, then their opposite angles are equal. Then the equation is given as,
m° + 66° + m° = 120°
Simplify the equation for m, then the value of 'm' is calculated as,
m° + 66° + m° = 120°
2m° = 120° - 66°
2m° = 54°
m° = 27°
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Select the expression that has a quotient greater than 1. Explain your reasoning PLEASE ANSWER THIS
1. 4 2/3 ÷ 5 1/4
2. 3 1/8 ÷ 2 2/5
3. 1 6/7 ÷ 2 1/3
4. 5 3/4 ÷ 7 3/8
Answers
How is 7/8 expressed as a percent
Answers
Answer:
Therefore, 7/8 is equal to 87.5 percentage
Step-by-step explanation: brainliest?
HELP ME ASAP, DUE TODAY!!!!!!
WILL MARK BRAINIEST
Answers
Answer:
Q' = ( 1, 3 )
R' = ( 3, -3)
S' = ( 0, -2)
T' = ( -2, 1 )
Please answer soon 15 points try to include explanation
Answers
Answer:
36 units
Step-by-step explanation:
The segment joining the midpoints of two sides of a triangle is half the length of the third side, then
AC = 2 × 7 = 14
BC = 2 × 5 = 10
AB = 2 × 6 = 12
perimeter of Δ ABC = 14 + 10 + 12 = 36
-5p = -40 solve for t
Answers
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
A television has a normal price of £670. In a sale the price is reduced by 30%. Work out the price of the television in the sale.
Answers
hope this helped, please mark as brainliest:)
Please help me with this!
Answers
Answer:
Step-by-step explanation:
Its going to be a negative
negative, if wrong so sorry
What the answer please help me i need it now I’ll mark brainleist.
If u dont know dont answer
Answers
Answer:
Step-by-step explanation:
slope is -7
Answer:
The slope is -7
Step-by-step explanation:
7x + y=28
-7x -7x
y=-7x+28
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?
Answers
Answer:
213 crates
Step-by-step explanation:
There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.
Find the volume of the following.
(Round to the nearest tenth if necessary)
Answers
= B = L x W
= V = 1/3 (L x W) H
= V = 1/3 ( 7 x 3 ) 8
= V = 1/3 (21) 8
= V = 1/3 (168 )
= V = 168/3
= V = 56in
Volume = 56!
Find the area of a rectange with a base of 3/7 feet and a height of 9/10 feet
Answers
The area of the rectangle is 27/70 square feet.
Area of a rectangleThe area of a rectangle is given by the formula:
Area = base x height
Plugging in the given values, we get:
Area = (3/7) x (9/10)
Simplifying, we get:
Area = (27/70) square feet
Therefore, the area of the rectangle is 27/70 square feet.
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Please help me solve this fast!
Answers
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8