Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group
has 25 students and 4 adult chaperones.
The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations
below.
30s + 4a = 720
25s + 4a = 620
What is the cost for each student ticket?

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

Bir kırtasiyeci aldığı kalemlerin tanesini
2 liradan satarsa 40 lira kâr, 1,5 liradan
satarsa 20 lira zarar ediyor.
Bu kırtasiyeci kaç kalem alıp satmış-
tır?
A) 125 B) 120 C) 115 D) 110​

Answers

Answer: Option B: 120.

Step-by-step explanation:

I will answer in English

This problem can be translated to:

A man bought N pens, (at a cost C) if he sells each pen at 2 lira, he will have a profit of 40 lira.

If he sells each pen at 1.5 lira, he will loss a total of 20 lira.

We want to find N, the number of pens that he bought.

if he sells the N pens at 2 lira each, the revenue is:

N*2 lira

And the profit is the difference between the revenue and the cost, then the profit (40 lira in this case) is:

N*2 lira - C = 40 lira.

When he sells each pen at 1.5 lira the equation is:

N*(1.5 lira) - C = -20 lira.

Then we have two equations:

N*2 lira - C = 40 lira.

N*(1.5 lira) - C = -20 lira.

To solve this we need to isolate the variable C in one of the equations, i will isolate C in the second equation:

N*(1.5 lira) + 20 lira = C.

Now we can replace this in the first equation to get:

N*(2 lira) - (N*(1.5 lira) + 20 lira) = 40 lira.

We can solve this for N.

N*(2 lira) - N*(1.5 lira) - 20 lira = 40 lira

N*(2 lira - 1.5 lira) = 60 lira

N*(0.5 lira) = 60 lira

N = (60lira/0.5lira) = 120

N = 120

This means that he bought 120 pens.

The correct option is B.

14 masons can build 2 houses in 6 months. Find how many houses 21 masons can build in the same duration.

Answers

Answer:

3 houses

Step-by-step explanation:

2 houses = 14 masons

1 house = 14 ÷ 2 = 7

Find out what 21 ÷ 7 is, which is 3.

So 21 masons can build 3 houses in 6 months.

An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.

Answers

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x

Answers

Answer:

.8x

Step-by-step explanation:

Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of StartFraction 1 Over 36 EndFraction.
An equivalent expression is 65 · 6-7.

Answers

Answer:

4. The expression has a value of 1/36 . True

5. An equivalent expression is (6)^5. (6)^- 7  True

Step-by-step explanation: Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.

Any number having an exponent zero has a value equal to 1.

6 · (6)^0 · (6)^–3

= 6.1.1/216

= 1/36

= (6)^-2

2. The sum of exponents is 2.  

False ( the sum of exponents is -2)

3.Multiply the exponents to solve the expression .

False when the bases are the same the exponents are added or subtracted.

4. The expression has a value of 1/36 .

True

5. An equivalent expression is (6)^5. (6)^- 7

True

the correct answers are D and E. I just got this right. hope it helps

The NEC permits 20% of the cross sectional area in a wireway to be occupied by conductors.for an 8"×8"×6' long wireway the conductors can occupy. In squared?

Answers

Answer:

Step-by-step explanation:

Sjaoa

The required cross-sectional area in a wireway is 12.8 In squared.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given an 8"×8"×6' long wireway the conductors can occupy.

Since the NEC permits 20% of the cross-sectional area in a wireway to be occupied by conductors

So the required cross-sectional area in a wireway is

⇒ 20 % of ( 8"×8" )

⇒ 0.20 × (64 )

⇒ 12.8 In squared

Thus, the required cross-sectional area in a wireway is 12.8 In squared.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

What’s the closets fraction to 1/2

Answers

Answer:

1/2 2/4 3/6

Step-by-step explanation:

Answer:

7/13

Step-by-step explanation:

if 1/26 is closest to zero then 7/13 is closer to 1/2

0.4y − 0.2y + 10 = 11.8

Answers

Answer:

0.2y+10

Step-by-step explanation:

Answer:

We have this equation:

0.4y - 0.2y + 10 = 11.8

You can simplify

0.2y + 10 = 11.8

Then, you can substract 10 in both sides:

0.2y = 11.8 - 10

0.2y = 1.8

You can now divide right and left side by 0.2 and get y:

0.2y/0.2 = 1.8/0.2

y =  14

−3.64⋅|−5.3|−1.5^3

help pls

Answers

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

Rent it right rents compact cars for $38 per day plus $0.15 per mile. Lucia rented a car for 3 days and was charged $150. How many miles did she drive?

Answers

Answer:

240

Step-by-step explanation:

first 38 times 3 = 114

second 150-114= 36

third 36/0.15= 240

answer is 240

Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation changed most of them to agree with the numbers on the mile markers along the highway. a. What level of measurement were data on the consecutive exit numbers

Answers

Answer:

The appropriate response will be "Ordinal".

Step-by-step explanation:

Consecutive exit figures would be quantified on either the 'ordinary' magnitude because they were represented progressively again from the southwestern boundary including its nation. There would seem to be a clear structure to also be accompanied whilst also numbering, as well as that there were no wide variation exit figures.

What is the total area? Use 3 for Pi.
Answer fast pls!! xx

Answers

Answer:

1318.8

Step-by-step explanation:

i got this

28 x 15=420

420 x 3.14= 1318.8

Answer:

243.37 in^2

Step-by-step explanation:

large rectangle=28x15=420  (now we need to deduct the circular areas)

circular area =7.5^2(3.14)=176.63  (radius^2xPi)   (this is for a full circle which accounts for the two semi circles)

420-176.63=243.37

A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1000 klgram Sha bebe

And so many things I have to do whit a person do and every thing

Thank you

Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?​

Answers

the maximum amount he can make is 4 liters because 2x4 is 8 and that’s the most it can go without going past 9. hope this helped!

On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.

Answers

Answer:

a) The percentage that the student does not read any paper is  10%  

b) The percentage that the student reads the local paper is 40%

c) the percentage that the student reads exactly two papers is 23%

d) the percentage that the student reads at least two papers is 25%

Step-by-step explanation:

Given the data in the question;

as illustrated in the Venn diagram below,

a)The student does not read any paper;

The percentage that the student does not read any paper will be;

100% - 90% = 10%

Therefore, The percentage that the student does not read any paper is  10%  

 

b) The percentage that the student reads the local paper;

from the Venn diagram below;

⇒ ( 20 + 15 + 3 + 2 )%    

= 40%

Therefore, The percentage that the student reads the local paper is 40%

c) The percentage that the student reads exactly two papers

⇒ ( 15 + 5 + 3 )%

= 23%

Therefore, the percentage that the student reads exactly two papers is 23%

d) The percentage that the student reads at least two papers;

⇒( 15 + 5 + 3 + 2 )%      

= 25%

Therefore, the percentage that the student reads at least two papers is 25%

4 1/6 + 2 3/4 too many answer not sure which is correct

Answers

Answer:

6.91666666667

Step-by-step explanation:

4 1/6 turn it into an improper fraction so it will become 10/6
2 3/4 turn it into an improper fraction so it will become 10/4

4 1/6 = 10/6
2 3/4 = 10/4 now add them both up

10/6 +10/4 = 30/12 + 20/12
The answer will be 40/12 simplifying it to 3 and 1/3

I had $13.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt, My Uncle and grandma gave me $100.00. I had another $7.00. How much did I have? ​

Answers

Answer:

Step-by-step explanation:

u had $13. ur mom gave u $10. ur dad gave u $30. ur aunt, uncle, and grandma gives u $100. u had another $7. u have a total of $160.

100 + 30 = 130 + 10 = 140 + 13 = 153 + 7 = $160

Answer:

$360

Step-by-step explanation:

Start off with 13, add 10 makes it 23

23 + 30 = 53

Aunt, Uncle, and grandma each give you 100

100 x 3 = 300

300 + 53 = 353 + 7 = $360

In conclusion, your family spoils you

please help me im in deep need

Answers

Answer:

Its C

Step-by-step explanation:

because N and O would have been numerators but they are denominators

The account title are:

No journal entry required, cash, accounts receivable, office supplies, prepaid rent, prepaid insurance, office equipment, accumulated depreciation - office equipment, accounts payable, notes payable, unearned revenue, common stock, dividends, services revenue, utilities expense.

Please help me solve this

Answers

Answer:

Cash                                                 107000

Office equipment                              30500

    Common stock                                                     137500

Select all tables thaf represent A proportional relationship between x and y.

A: X: 0, 1, 2, 3
Y: 3, 6, 9, 12

B: X: 2, 3, 4, 5
Y: 12, 18, 24, 30

C: X: 2, 4, 6, 9
Y: 0, 2, 4, 6

D: X: 0, 1, 2, 3
Y: 0, 2, 5, 9

Answers

A is the answer babygirl.

Need help with this please having a hard time with it

Answers

Answer:

6.28 m^2  

Step-by-step explanation:

4^2 x Pi=area of full circle

45 degree segment =1/8 of a full circle

16x3.14159=50.27 m^2                  area of full circle

50.27/8=6.28 m^2             area of 1/8 circle

Answer:

90 square meters

Step-by-step explanation:

Formula for sector area--- SECTOR AREA=r^2 a/2

*Multiply the central angle by the radius squared- 45×4=180squred meter

*then, Divide by 2- 180÷2=90

14). Deconstruct to find the area of the figure below 10 ft. 14 ft.​

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real
ostate agency and the commission rate for the agent is 25% of the amount the real estate agency
goto How much did the agency make on the hous? How much did the agent cam in commission?

Answers

9514 1404 393

Answer:

agency: $14,306agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

__

The agency made $14,306; the agent earned $3,576.50.

Mhanifa please help!! I will mark brainliest. Random answers will be reported

Answers

Answer:

[tex]\sqrt{h^2 + k^2}[/tex]

Step-by-step explanation:

Point O has coordinates (0, 0) B has coordinates (h, k)C has coordinates (h, 0)

Use the distance formula to find the length of OB:

OB = [tex]\sqrt{(h-0)^2 + (k-0)^2}[/tex] = [tex]\sqrt{h^2 + k^2}[/tex]

A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 64 bottles and finds the average amount of liquid held by the bottles is 9.9145 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0436. State the proper conclusion. choose from below and explain why.
A) At α = 0.05, reject the null hypothesis.
B) At α = 0.10, fail to reject the null hypothesis.
C) At α = 0.025, reject the null hypothesis.
D) At α = 0.05, accept the null hypothesis.

Answers

Answer:

A) At α = 0.05, reject the null hypothesis.

Step-by-step explanation:

Given a p-test value of 0.0436 ;

P-value = 0.0436

Recall :

Decision region :

Reject Null if p value < α

Testing the options :

A) At α = 0.05,

0.0436 < 0.05 (true)

Since p value < α ; Reject the null hypothesis.

B) At α = 0.10,

0.0436 < 0.1

True conclusion is to reject the Null Hypothesis

Hence, option B is incorrect.

C) At α = 0.025, reject the null hypothesis.

0.0436 > 0.025

True conclusion is ; Fail to reject the Null ;

Hence, option C is incorrect

D) At α = 0.05, accept the null hypothesis.

0.0436 < 0.05

True conclusion is ; reject the Null

Hence, option D is incorrect

Chloe has $15 to spend on pencils. Each box of pencils costs $2. How many
boxes of pencils can Chloe have buy? How much money will she have left
after she buys the pencils?

Answers

Chloe can buy 7 pencil boxes and have 1 dollar left

Janet uses 6.5 pins of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint,and the rest is blue paint.How many pints of blue paint did she use to paint her bedroom walls?

Answers

She used 3.36 pints of white paint. if you were to convert the fraction to 60% then you would just have to find 40% of 8.4 and thats 3.36.

Answer:

3.9 pints

Step-by-step explanation:

Given:

Caroline uses 6.5 pints of blue paint and white paint to paint her bedroom walls.

2/5 of this amount is blue paint, and the rest is white paint.

To find :

How many pints of white paint did she use to paint her bedroom walls?

Solution:

Caroline uses pints of blue paint and white paint = 6.5                                                  

Amount of blue paint = 6.5 - 2.6 = 3.9 pints

Therefore, 3.9 pints of white paint she used to paint her bedroom walls.

A Data Scientist of a Fortune 500 banking firm is looking at the relationships between various age groups of adults and types of investments portfolios. He is looking at a Chi Square distribution in his statistical software. What is the probability that x is larger than 12 when df = 19?

Answers

Answer:

The probability that x is larger than 12 when df = 19 = 0.100

Step-by-step explanation:

We are supposed to find the probability value at x>12 at degree of freedom equals to 19.

P(x>12)

By looking at the chi square table we can see, at df = 19 and x>12, P(x>12) is equal to 0.100

because at df = 19, the least x values is 27.2036 for which (Px=27.2036) or (Px>12) = 0.100

300 – 7[4(3 +5)] + 33

Answers

Answer:

105

Step-by-step explanation:

your answer is 105.

The point P (5, -1) is rotated 270° counterclockwise around the origin.

What are the coordinates of the resulting point P prime?​

Answers

Answer:

(-1,-5) Hopes this helps you :)

Step-by-step explanation:

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