To solve the problem, two equations were set up: 6A + 4S = 548 and S = A + 12. By substituting A + 12 for S in the first equation and solving, it was determined that 50 adult tickets and 62 student tickets were sold.
To solve the problem of finding the number of adult and student tickets sold, we can set up two equations based on the given information. Let A be the number of adult tickets and S be the number of student tickets sold.
Firstly, we know that the total amount collected for tickets was $548. Thus, the first equation is: 6A + 4S = 548.
Secondly, we are told that 12 more student tickets were sold than adult tickets, which gives us the second equation: S = A + 12.
Using the substitution method, we can replace S in the first equation with A + 12, leading us to: 6A + 4(A + 12) = 548. Simplifying the equation, we have 6A + 4A + 48 = 548, so 10A = 500 and A = 50.
Now that we have the number of adult tickets, we can solve for the number of student tickets by plugging the value of A into the second equation: S = 50 + 12 = 62.
Therefore, the number of adult tickets sold is 50 and the number of student tickets sold is 62.
A 5- digit number has digits 0,5,7,9, and 0. To the nearest thousand, it rounds to 80,00 What is the number?
What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3?
a 2.4 × 10^5
b 3.0 × 10^11
c 3.0 × 10^5
d 2.4 × 10^11
Answer:
Your answer would be 3.0 X 10^5
Step-by-step explanation:
3.6 X 10^8 over 1.2 X 10^3 would give you 300000 which we put in scientific notation which we move the decimal 5 places to the left. Then we get 3.0 X 10^5
Hope this helps! :-)
A researcher wished to gauge public opinion on gun-control. He randomly selected 1000 people from registered voters and asked them the following question: “ Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?” Identify the abuse of statistics and identify ways the researchers methods could be improved.
Answer:
Its a Loaded Question
Step-by-step explanation:
They need to re-word the question. For example, Do you believe gun control laws should eliminated?
Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
Answer:
b.) Angle L is a base angle and measures 72°.
Step-by-step explanation:
Number 123,456,789 what digit has the greatest value? what is it value
In the number 123,456,789, the digit with the greatest value is 1.
The explanation is as given:
Each digit contributes value based on its position in the number. The leftmost digit holds the highest place value.
In this case, the digit 1 is in the hundreds of millions place.
1 (in the hundreds of millions place) = 1 x 100,000,000 = 100,000,000
Although the digit 9 appears at the end, it's in the ones place, which has the lowest weight (9 x 1 = 9).
Therefore, the digit with the greatest value is 1, and its value is 100,000,000.
a garden hose faucet is able to fill a gallon container in 20 seconds. A homeowner accidentally left his hose on for a full day. How many gallons per day can a hose be release?
Answer:
The answer is 4320 gallons.
Step-by-step explanation:
A garden hose faucet is able to fill a gallon container in 20 seconds.
A homeowner accidentally left his hose on for a full day.
In 24 hours, there are = 86400 seconds
The number of gallons per day can a hose be release = [tex]\frac{86400}{20}=4320[/tex] gallons
Hence, the answer is 4320 gallons.
Find the amount of sales tax (T) paid on an item selling for a price (p) of $170 using the formula T=00.4p
How can you round 25.691 to the nearest place
the function s(v)=3√v describes the side length, in units, of a cube with a volume of V cubic units. jason wants to build a cube with a minimum of 64 cubic centimeters
what is a reasonable range for s, the side length, in centimeters, of Jason's cube?
a. s > 0
b. s >_4
c. s >_ 8
d. s>_ 16
Answer:
Step-by-step explanation:
alright lets get started.
The side of cube is given by the function
[tex]s(v)=\sqrt[3]{v}[/tex]
If, Jason wants to build a cube with the minimum volume 64 cubic centimeters.
Plugging the value of volume in above function
[tex]s=\sqrt[3]{64}[/tex]
Taking the cubic root of 64
[tex]s=4[/tex] :
So, side s should be atleast or more than 4 to have the volume as 64,
[tex]s\geq4[/tex] : answer option b
Hope it will help. :)
Combine 4c - c in like terms
Yolanda is buying supplies for school.She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each.what does each term in the expression 1.4n+1.2m represent? What does the entire expression represent
PLEASE HELP FAST!!!!!!!!!!!!!!!!!
Tomas asked 15 students whether summer break should be longer. He used his calculator ti divide the number of students who said yes by the total number if students. His calculator showed the result as 0.9333......
a. Write this number as a fraction.
b.How many students said that summer break should be longer
The number as a fraction will be 14 / 15. Then the number of students who said that summer break should be longer will be 14 out of 15.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Tomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the result as 0.9333......
Then the result can be written in the form of fractions that will be
0.9333...... = 14 / 15
Then the number of students who said that summer break should be longer will be 14 out of 15.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ6
PLEASE HELP!!!! I don't understand!
1. -1/2 + 1/3
A. -1/6
B. -1/3
C. 2/3
D. 1/6
2. -3 1/5 + (-6 1/2)
A. -3 2/7
B. - 3 7/10
C. -9 2/7
D. -9 7/10
3. 5/8 - (-2/8)
A. -3/8
B. -7/8
C. 3/8
D. 7/8
4. -9/10 - 2/5
A. -1 3/10
B. -1 1/10
C. -7/10
D. -5/10
5. 6 3/5 - (-2 1/5)
A. -8 2/5
B. -4 2/5
C. 4 2/5
D. 8 4/5
How is twelve divided by fifteen equal to eight.
Does anyone get this question plz anybthat does help me idk what to do thank you
In the United States 13 out of every 20 cans are recycled what percent of cans are recycled show work
The first step is to divide 13 by 20. You will come out to 0.65. It will be 65%.
Please help: Which conversion factors are used to multiply to 12 m/s to get kilometers per minute? Select each correct answer. 60 s/1 min 1min/60 s 1 km/1000 m 1000/m1 km
Took the test and it's correct: km/1000m and 60second/ 1 minute
what is the radius for 439.6 circumference
You are ordering concert tickets. You pay a processing fee of $5, plus $18 per ticket. How many tickets can you buy for $100?
After accounting for the $5 processing fee, you can purchase approximately 5 concert tickets with $100, as each ticket cost $18.
To determine how many concert tickets you can buy for $100, we need to account for both the fixed processing fee and the variable cost per ticket. The processing fee is a one-time payment, and the cost per ticket is multiplied by the number of tickets you want to purchase. We can set up the following equation where T represents the number of tickets:
$5 + $18T = $100
First, we subtract the processing fee from the total amount of money available:
$100 - $5 = $95
Now we divide the remaining amount by the cost per ticket:
$95 / $18 = 5.28
Since you cannot buy a fraction of a ticket, you would be able to purchase 5 tickets with $100, with a remaining balance of $5 (since 5 tickets cost $90, plus the $5 processing fee).
What's the answer to this question ? I've been really confused for the past 20 minutes
sqrt(570025)= 755 feet
one side is 755 feet
the hint told you how to solve it
Solve for p.
3p − 4 = 11
p = 7
p = -5
p = −3
p = 5
write each as a numerical expression. subtract the product of 5 and 8 from 50
what is 8 divided by 6/7
Which expression complestes this equation? 36/4-2x3=
The mass of Earth is approximately 5.9 x 1024 kg and the mass of Venus is approximately 4.9 x 1025 kg. What is their total combined mass expressed in scientific notation? Show your work. DID I GET THE ANSWER RIGHT? IF NOT EXPLAIN HOW TO FIND THE ANSWER!! AND THE WORK!!
WORK:
5.9 x 4.9 = 28.91
25-24= 1
ANSWER:
28.91 x 10^1
write an expression of the product of 6 and Q
Melissa bought 42 pine seedlings and 30 juniper seedlings
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
n=129
p=0.79
The mean is ______
. (Round to the nearest tenth as needed.)
The variance,
σ^2 is ______
(Round to the nearest tenth as needed.)
The standard deviation, ______
In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad ones in the bag is 36, how many oranges are there altogether?
5x - good ones
4x - bad ones
[tex] 4x=36\\ x=9\\\\ 5x=5\cdot9=45\\\\ 45+36=81 [/tex]
81
Shaquira is baking cookies to put in packages for a fundraiser. Shaquille has made 86 chocolate chip cookies and 42 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all the cookies. What is the greatest number of identical packages Shaquira can make?
Answer:
The greatest number of identical packages Shaquira can make is 21.
Explanation:
To find the greatest number of identical packages Shaquira can make, we need to determine the greatest common divisor (GCD) of the number of chocolate chip cookies and the number of sugar cookies. The GCD represents the largest number of identical packages that can be made.
Given:
- Chocolate chip cookies: 86
- Sugar cookies: 42
We can find the GCD using the Euclidean algorithm or by listing the factors of each number and identifying the largest common factor.
By listing the factors:
- Factors of 86: 1, 2, 43, 86
- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
The common factors are 1 and 2. The greatest common factor (GCD) is 2.
So, Shaquira can make the greatest number of identical packages by dividing both the number of chocolate chip cookies and the number of sugar cookies by the GCD:
[tex]\( \frac{86}{2} = 43 \)[/tex] packages from chocolate chip cookies
[tex]\( \frac{42}{2} = 21 \)[/tex] packages from sugar cookies