Need help with the table for this problem. already solved for x and y just not sure how to place info on the table ( I solved using the elimination method )
Answers
Answer:
At the carnival, 400 adult tickets were sold and 300 child tickets were sold.
Step-by-step explanation:
Define VariablesLet x be the number of adult ticketsLet y be the number of child ticketsCreate SystemA total of 700 tickets were sold:
[tex]\implies x+y=700[/tex]
Given an adult ticket cost $10 and a child's ticket cost $5, and the total amount of tickets sold is $5,500:
[tex]\implies 10x+5y=5500[/tex]
Therefore, the system of equations that models the given problem is:
[tex]\begin{cases}x+y=700\\10x+5y=5500\end{cases}[/tex]
Solve the SystemRearrange the first equation to isolate y:
[tex]\implies y=700-x[/tex]
Substitute the found expression for y into the second equation to eliminate y:
[tex]\implies 10x+5(700-x)=5500[/tex]
Solve the equation for x:
[tex]\implies 10x+3500-5x=5500[/tex]
[tex]\implies 5x+3500=5500[/tex]
[tex]\implies 5x=2000[/tex]
[tex]\implies x = 400[/tex]
Therefore, 400 adult tickets were sold.
Substitute the found value of x into the equation for y and solve for y:
[tex]\implies y=700-400[/tex]
[tex]\implies y=300[/tex]
Therefore, 300 child tickets were sold.
Check your AnswerSubstitute the found values of x and y into the two equations:
[tex]\begin{aligned}x+y&=700\\ \implies 400+300&=700\\700&=700 \leftarrow \sf correct\end{aligned}[/tex]
[tex]\begin{aligned}10x+5y&=5500\\ \implies 10(400)+5(300)&=5500\\4000+1500&=5500\\5500&=5500 \leftarrow \sf correct\end{aligned}[/tex]
Write an Answer StatementAt the carnival, 400 adult tickets were sold and 300 child tickets were sold.
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Related Questions
what is it?
find n
60/66 = n/22
Answers
Step-by-step explanation:
n = 20
solve =
60 / 66 = n/22
n =( 60 / 66 ) × 22:
n = 20
help please, and give me tips as well
Answers
A relation is the relationship between two or more set of values.
Write an equation to represent "33 is 15 less than k."
Answers
Answer:33-15=k
Step-by-step explanation:
because 33 is 15 less which is 33-15 than k which is 33-15=k
brainliest to whoever answers it correctly!!1!1!1
Answers
2)
Solve for x
1/2x - 2 = 3
A. x= 14
B. x= 10
C. x= 2
D. x=7
Answers
1/2x - 2 = 3
1/2x = 5
x = 10
A shop sells 80 gift vouchers valued at £5, £10, £20, £50 or £100.
The tables shows the number of each sold one weekend.
Price of gift voucher Number of vouchers sold
£5 34
£10 26
£20 9
£50 7
£100 4
The shopkeeper states "on average, people spend at least £15 on a gift voucher"
Calculate all three averages (mode, median, mean) of the data above.
Answers
Answer:
Step-by-step explanation:
Mean = [tex]\frac{Highest- Lowest}{2}[/tex]
= [tex]\frac{100-5}{2} = 47.5[/tex]
Median = 20 currency
I have read for 1 3/5 hours and I am 4/9 of the way through my book. How long will it take me to finish the book? _ hours
Answers
1. divide 9 by 4 which = 2.25
2. multiple that by 1.6 (1 3/5 hours in decimal form)
3. you get 3.6 hours which is how long it takes you to read the book
4. subtract from 1.6 because you’ve already read that
Reggie works at Bright Bouquets flower shop.
Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment,
12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.
Which equation can you use to find how many roses, x, Reggie normally uses in a centerpiece?:?????????? HELP
Answers
Answer:
He normally uses 12 roses in a centerpiece
Step-by-step explanation:
The equation he can use will be,
4x - 12 = 36
4x = 48
x = 12
X= 12
48dividedby4=x
Need help ASAP
Will give BRAINLIEST
Answers
Step-by-step explanation: Surface area of triangular prism = 2A + PH.
Lateral surface of a triangular prism = Length × (a + b + c)
i hope it helps u :-)
Answer:
225 and 243.4
Step-by-step explanation:
Area of triangle = bh/2
A = 4*4.6/2
A = 9.2 cm sq
A of 2 triangles = 9.2*2 = 18.4 cm sq
Now, Area of 1 rectangle = lb --> 15*5 = 75 cm sq
A of 3 rectangles = 75*3 = 225 cm sq
Now, LSA = 225 cm sq. (excluding the triangles)
TSA = A of tr. + A of rec. = 18.4 + 225 = 243.4 cm sq
Hope it helped. Pls mark me the BRAINLIEST! Don't fool pls
Help... 1[tex]\frac{2}{5}[/tex] + 1[tex]\frac{1}{2}[/tex] = ?
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I think it’s right sorry if I got it wrong
help me please and thanks!
Answers
Answer: 51
Step-by-step explanation:
A of rectangle 2x3 = 6 yd sq
A of rectangle 9x5 = 45 yd sq
Total Area = 45+6 = 51 yd sq
∴ Hope it helped. Pls mark me the BRAINLIEST!
Step-by-step explanation:
A of rectangle 2×3 = 6 yd sq
A of rectangle 9×5 = 45 yd sq
Total Area = 45÷6 = 51 yd sq
.: Hope it helped. Pls mark me the BRAINLIEST!
He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.
Question 1
Part A
What is the slope of the line that models the function?
Enter the correct answer in the box.
Answers
Answer: 208.00
Step-by-step explanation:If Cassidy sells all of the popcorn, his profit would be equal to $208.00.
What is the slope-intercept form?
Mathematically, the slope-intercept form of a line can be modeled by using this linear function:
y = mx + b
Where:
m represents the slope.
x and y are the points.
b represents the y-intercept.
How to determine Cassidy’s profit?
In order to determine Cassidy’s profit, we would have to calculate the cost of the containers of popcorn by using this mathematical expression:
Note: the price tag for a container of popcorn is one dollar and fifty cents.
Cost of containers = revenue - total profit
Cost of containers = 1.50(15) - 5.50
Cost of containers = 22.5 - 5.50
Cost of containers = $17.00
Therefore, the linear function which models Cassidy’s profit is given by:
y = 1.50x - 17
If Cassidy sells all of the popcorn, his profit is given by:
Cassidy’s profit, y = 1.50x - 17
Cassidy’s profit, y = 1.50(150) - 17
Cassidy’s profit, y = 225 - 17
Cassidy’s profit, y = $208.00
Read more on popcorn and profit here: brainly.com/question/25937729
#SPJ1
Complete Question:
Cassidy is selling popcorn for a fundraiser sale at the price shown.
A photo of a container of popcorn is shown. The price tag reads one dollar and fifty cents.
He purchases a total of 150 containers of popcorn to sell. After he sells 15 containers, he will make a total profit, after his upfront costs, of $5.50. Cassidy’s profit, after upfront costs, can be modeled by a linear function in the form y=mx+b.
What is Cassidy’s profit if he sells all of the popcorn?
HInt: Substitute 150 for x to find the profit if all the popcorn is sold.
Which simplified ratio correctly compares 12 yards to 20 feet? 1 yard = 3 feet
please help
Answers
Answer:
3/5
Step-by-step explanation:
Given ratio 12 yard to 20 feet,
To simplify the ratio, we first need to find the common multiples of 12 and 20,
to find the common multiples of 12 and 20, we need to factorize 12 and 20.
On factorization, we get 12= 2*2*3 and 20=2*2*5.
Common multiples of 12 and 20 are that is 4.
And now simplifying the given ratio, 12 yard to 20 feet , that is 12/20=3/5
Answer: 3/5
Step-by-step explanation: To simplify the ratio, we first need to find the common multiples of 12 and 20 then once you find the common form there you should have your answer.
help me pls, thanks! :)
Answers
Answer:
Step-by-step explanation:
first you take a dog then you throw it then you do other things HEHEHHEHEHHEEHEHEHEHEHHHEEHEHEHEHEHEHEHEHEHEHE
help plss, ill give brainliest<33.
which expression is not equivalent to the other three?
a) 2x + 2+ 2x + 3x – 8
b) 4 + 7x – 2
c) –2 + 5x + 2x – 4
d) 8x – x – 6
Answers
4+7x-2
========================================================
Explanation:
Combine the like terms in choice A to find that:
2x+2x+3x = 7x2-8 = -6Therefore, choice A simplifies to 7x-6.
Choice B on the other hand simplifies to 7x+2 since 4-2 = 2.
The expressions 7x-6 and 7x+2 don't match up, which means the answer is either choice A or choice B.
--------------
Let's simplify choice C.
5x+2x = 7x-2-4 = -6Choice C simplifies to 7x-6 which matches with choice A. In other words, choices A and C are equivalent expressions. We can rule out choice A and go with choice B as the final answer.
For the sake of completeness, let's simplify choice D
8x-x-6 = 7x-6
This shows choice D matches with A and C.
--------------
Summary:
Choice A simplifies to 7x-6Choice B simplifies to 7x+2Choice C simplifies to 7x-6Choice D simplifies to 7x-6Answer:
B
Step-by-step explanation:
i did the math bc im smart :)
a salesperson at a store earns 8% commission each week. last week, heidi sold $540 worth of jewerly. how much did she make in commission? how much did the jewerly store make from her sales
Answers
$43.20
explanation:
540 x 0.08= 43.2
nvm free brainliest ig
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.
A. 1/5 = 8/x
B. 1/x = 5/80
C. 1/5 = 80/x
D. 1/x = 8/5
Answers
1cm= 5km
8cm= Xkm
8•5=x x=40km
Write two equivalent fractions to describe the portion of the eggs that are dark gray
Answers
Bowler World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game
Answers
Answer:
Part A:
Bowler World: c=$1.10g+$5.00
Lucky Spares: c=$1.50g+$3.00
Part B: Cost would be equal after 5 games at $10.50
Find the area of the square. 4 9cm
Answers
Answer:
2401 cm
Step-by-step explanation:
Area of square = a^2
a = side of square
a = 49cm
Hence, area of square = 49^2
= 2401cm
Which expression is equal to 3(2x + 8) – 4x?
Group of answer choices
10x + 24
2x + 24
2x + 20
10x + 20
Thanks!
Answers
Answer: 2x+24
Step-by-step explanation:
expand brackets: 6x+24-4x
collect like terms: 2x+24
the graph displays the population of bacteria in a petri dish. describe the change in population over time.
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Help
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers?
Answers
Answer: 16/225
Step-by-step explanation:
i did the math
3 red + 5 blue + 3 yellow + 4 black
= 15 markers
And there’s 4 black markers so it would be a 4 (number of items) over the total amount (15)
which expression is represented by the model?
Answers
Write an expression to represent "a number k increased by 6."
Answers
Answer:
k+6
Step-by-step explanation:
Determine whether the sample may be biased. Explain.
A reporter wants to know if the majority of the people in a city want a new football stadium to be built using tax funds, so he gets the opinion of 50 random people at a local college baseball game.
A, B, or C?
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Answer:
The sample may be biased. The reporter is only getting the opinion of 50 random people at a local college baseball game, which does not represent the opinion of the entire population of the city. Therefore, the results of the survey cannot be used to make a general statement about how all people in the city feel about the new football stadium.
Step-by-step explanation:
Write an expression to represent "subtract 45 from a number c." (use / for division)
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Imagine that you are plotting points on a coordinate plane. Each axis is labeled with integers from -5 to 5 explain how you would plot a point at the location (-2 1/2, -4).
Write three to four sentences.
Answers
the answer is in the above picture
What is the value of:
32,538 ÷ 10 to the power of 3
Group of answer choices
3.2538
3253.8
325.38
32.538
Thanks!
Answers
Answer: 32.538
Step-by-step explanation:
10³ is the same as 1000
32,538÷10³ is the same as moving the decimal at the end 3 times to the left
Answer:
B, or 3,253.8
Step-by-step explanation:
Linear Function Context Questions
Answers
Answer:
Step-by-step explanation:
Pick 2 numbers to subtract the C over the M
Subtract these 2 numbers
then divide.
EX: 69.25 - 7= 62.25
61.00 - 4= 57
divide 62.25/57= whatever number u get