QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens

Answers

Answer 1

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99


Related Questions

What is another name for an ordered subset?
A. Probability
B. Combination
C. Permutation​

Answers

Answer: b

Step-by-step explanation:

PLEASE HELP ME WITH GEOMETRY 15 POINTS

Answers

X=15 because you divide 2 on both sides and get x and 15

A cylindrical glass has a radius of 4 centimetres and a height of 6 centimetres. A. large cylindrical jar full of water is a similar shape to the glass. The glass can be filled with water from the jar exactly 216 times. Work out the radius and height of the jar.

Please answer correctly with explanation :-)​

Answers

Step-by-step explanation:

follow the above attachment.

hope this helps you.

help me please.

Rounding questions.

Answers

Step-by-step explanation:

a) 6400

b) 4800

c) 32000

hope this answer helps you dear!

Solve the simultaneous equations
x-6y=5
xy - 2y2 = 6
-
Show clear algebraic working.

Answers

Answer:

(- 7, - 2 ) , (9.5, 0.75 )

Step-by-step explanation:

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

(- 7, - 2 ) and  (9.5, 0.75 ) are the solutions.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, we have,

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y =  = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

subtract (3x^3-2x+5)-(-4x^3+3x-6)

Answers

Answer:

7x^3-5x+11

Step-by-step explanation:

(3x^3-2x+5)-(-4x^3+3x-6)

Distribute

3x^3-2x+5+4x^3-3x+6

Simplify

7x^3-5x+11

3x³-2x+5-(-4x³+3x-6)3x³-2x+5+4x³-3x+63x³+4x³-2x-3x+5+67x³-5x+11

literally can no one help, i said id give brainliest and anything u need, i jst want all of it answered

Answers

A) She received the discount during January but not February.

B) $94.98

C) The equation is 394.94 = 59.99x + 34.99y, where x is the number of months she had membership and visited less than 12 times, and y it’s the number of months she had membership while going 12 or more times.

can somebody please just help me do not answer if you do not know

Answers

Answer:

it could be 34 , 34 and 82

or 34 , 73 and 37

Step-by-step explanation:

angles in a triangle add up to 180. in and isosceles triangle two angles are always the same so there will be 2 possible outcomes.

pls mark brainalist

pls help..........!!!!!!

Answers

Answer:

1) 1085 ÷ 7

7 )1085(155

- 7

38

- 35

× 35

- 35

0

1085 ÷ 7 = 155

2) 7104 ÷ 32

32 )7104(222

- 64

× 70

- 64

×64

- 64

××

7104 ÷ 32 = 222

3) 2244 ÷ 51

51)2244(44

- 204

×244

- 244

×××

2244 ÷ 51 = 33

4) 1584 ÷ 12

12)1584(132

- 12

×38

- 36

×24

- 24

××

1584 ÷ 12 = 132

5) 1467 ÷ 9

9)1467(163

- 9

56

- 54

27

- 27

××

1467 ÷ 9 = 163

6) 2830 ÷ 28

28)2830(101

- 28

××3

- 0

30

- 28

×2

2830 ÷ 28 = 101 with the remainder 2

7) 9090 ÷ 45

45)9090(202

- 90

××9

- 0

90

- 90

××

9090 ÷ 45 = 202

8) 7000 ÷ 62

62)7000(112

- 62

×80

- 62

180

- 125

×55

7000 ÷ 62 = 112 with the remainder 55

9) 1150 ÷ 15

15)1150(76

- 105

×100

- 90

10

1150 ÷ 15 = 76 with the remainder 10

Hope that my answer is right and helpful to you

I need answer immediately!!!!!!

Answers

Its division and fractions i advise calulater soup

writing carla has already written 10 pages of a novel she plans to write 15 additional pages per month until she is finished A.write an equation to find the total number of pages P written after any number of months MB. graph the equation on the grid at the rightC. find the total number of pages written after 5 months

Answers

Answer:

P = 5M + 10

Step-by-step explanation:

15 pages/month * M months + 10 pages = P pages

5 Months = 5*15 + 10 = 85 pages

Write the standard form of 7384000000​

Answers

Answer:To write a linear expression in standard form, rearrange the terms in alphabetical order.

7384000000

Step-by-step explanation:

Answer:

738400000.0

Step-by-step explanation:

738400000.0*10^10

PLEASE HELP WILL MARK BRAINLIEST NO RANDOM ANSWERS

Answers

-6y + 4 + 6y -4 + 2
=2

Hello salvadorbea340!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] - (6y - 4) + (6y - 4) - ( - 2)[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]-(6y-4)+(6y-4)-(-2)[/tex]

Firstly, let's open the brackets of the 1st term, i.e. - (6y - 4).

[tex] -( 6y - 4) \\ = \underline{\underline{- 6y + 4}}[/tex]

Now, the 2nd term [ (6y - 4) ].

[tex] + ( 6y - 4) \\ = \underline{\underline{ + 6y - 4}}[/tex]

Now, the 3rd term ⇨ - (- 2)

[tex] -( - 2) \\ = \underline{\underline{ + 2}}[/tex]

Now, let's bring the equation together.

[tex]- (6y - 4) + (6y - 4) - ( - 2) \\ = - 6y + 4 + 6y - 4 + 2[/tex]

Now, let's solve the equation.

Firstly, bring the like terms together.

[tex]- 6y + 4 + 6y - 4 + 2 \\ = - 6y + 6y + 4 - 4 + 2[/tex]

Now cancel out -6y & +6y and 4 & -4 as they make 0.

[tex]- 6y + 6y + 4 - 4 + 2 \\ = \bcancel{- 6y }+ \bcancel{6y} + \bcancel{ \: \: 4 } \: \: - \bcancel{ \: 4 }+ 2 \\ = 0 + 2 \\ = 2[/tex]

And, the only number left is 2. So our answer is 2.

[tex] = \large\boxed{\boxed{ 2}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

These are two similar triangles
What is the measure of x?
24
12
X
4
x = [?]
=

Answers

I believe the answer should be 18. Try

Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?

Answers

Answer:

1) 5.28 x 10^4 g

2)2.556 x 10^2 m

3)4.109 × 10^-2cm

Have a nice day!!!!!

Answer:

52,800 in scientific notation is [tex]5.28[/tex] × [tex]10^4[/tex].

255.6 in scientific notation is [tex]2.556[/tex] × [tex]10^2[/tex].

0.04109 in scientific notation is [tex]4.109[/tex] × [tex]10^{-2}[/tex].

Yash can buy three pencils and have 49c change, or he can buy five pencils and
have 15c change.
(1) Write this information as an equation for x the cost in cents of one pencil.
(ii) How much money did Yash have to start with?

Answers

Answer:

(ii) 1 dollar

Step-by-step explanation:

each pencil costs 17 cents

- thus 3 pencils x 17c is 51c

1.00 dollars minus 0.51 is 49

- 5 pencils x 17c is equal to 85

1.00 dollars minus 0.85 is 15 c

950.3 divided by 37 were doing partial product divison

Answers

I think it’s 25.6 or not

The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land
area was 1,020 square miles. The population increased by 9.7% in 2015.
Part 1: To the nearest whole number, find the population density, in people per
square mile, for Hillsborough County in 2010.
Part 2: To the nearest whole number, how much did the population density, in people
per square mile, increase from 2010 to 2015?

Answers

Answer:

About 1205.12352941 people per square mile in 2010

About 1329.36306853 people per square mile in 2015

Explanation:

take population and divide by land area

for 2015 pop do total pop divided by 9.7 plus total pop

What is the value of h(3)?

–2
–1
1
2

Answers

Answer:

C) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.

Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per square foot. How much would it cost in total to replace the felt on the pool table?

Answers

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

The slope and y intercept

Answers

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

If x=√7/5 and 5/x=p√7 find p
Plz tell fast
I will mark as branliest

Thank you

Answers

Replace x with √7/5

5/√7/5 = p √7

Divide both sides by √7

P = 5/√7/5 /√7

P = 25/7

Answer: p = 25/7

can someone check these for me? lmk if they are wrong and how to correct them please

Answers

Answer:

the 1. is y = (5/4)x + 6 and 2 . is y = 20x+10, so you are right, both of them correct

can someone help please? u dont have to show work so dont mind that

Answers

Answer:

Factor the numerator and denominator and cancel the common factors.

x/4+3/2 or 32/4  or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First, you substitute.

x + 6 / 4

26 + 6 / 4

Then, you add.

26 + 6 = 32

Finally, you divide.

32 / 4 = 8

Answer: 8

HELPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: 155

2: 222

3: 44

4: 132

5: 163

6: i dont know

7: 202

8:?

9: ?

hope this helped!

Step-by-step explanation:

answer:

1.)155

2.)222

3.)44

4.)132

5.)163

6.)93.92857142857142

7.)202

8.)112.9032258064516

9.)76.66666666666666

Step-by-step explanation:

Sana po makatulong( ˘ ³˘)♥︎

Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C​

Answers

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $2.40 and the cost of a large greeting card is $3.70. How much would it cost to get 2 small greeting cards and 3 large greeting cards? How much would it cost to get x small greeting cards and y large greeting cards?

Answers

Answer:

1)15.9

depends on what x and y are but put 15.9 ig

Step-by-step explanation:

Answer:

cost of smalls + cost of larges so the answer is 2.40+3.70

Step-by-step explanation:

Evaluate -(2")(2º).
A.1/8
B. -8
C. 8
D.-1/8

Answers

Answer:

= -8

(hope this helps) :)

helppppppppppppppppppppppppppppppppppppppppppp sorry for that

Answers

Answer:

a)2 * 2 = 4

b)2 * 3/2 = 3

c) 20 * 3/2 = 30

d) 100 * 8/5 = 160

e)473*1/100=4.73

f)111*1/100=1.11

Answer:

answers are written

Step-by-step explanation:

2xx671.0

Twenty students scored the following marks in a history test: 5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3. What is the mode of distribution. What is the median and mean

Answers

Answers:

Mode = 2Median = 2Mean = 2.8

===================================================

Work Shown:

Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}

Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}

Do not toss out the duplicates.

The most occurring or most frequent value is 2, so this is the mode.

---------------------------

To find the median, we divide the n = 20 item set into two parts

n/2 = 10

So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.

The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2

The median is 2.

----------------------------

To find the mean, we need to first add up all the data values.

1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56

Then divide this over n = 20 to get 56/20 = 2.8

The mean is 2.8

The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.

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Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, theres only one way to split this money, we both get $7.50. Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.(Please help!) what conflict triggered the war between russia and japan Q.1. Which of the following statements is false? a) The particles in a solid are packed tightly together and can only vibrate in place. b) Liquid particles are moving more slowly than gas particles. c) Particles in the gas are much farther apart than particles in liquid or solid. d) The particles in a solid have more energy than the particles in a liquid. 1. Convection current causes the lithospheric plate toA. move slowly but constantlyB. move fasterC. move in any directionD. create another plate what is the equation of the line that is perpendicular to y = 2x + 5 through the point (-4, -5) They were slaves who lived in their debtors house and were entirely dependenton him for food and shelter during pre-colonial period. Help please!! Geometry Applying angle pair relationships 2x+10=12so x=??[tex]\huge \dag \sf{Help \: me}[/tex] The table below shows views about government.Separation of powers protects the peopleThe national government has too much powerA bill of rights is not neededA bill of rights is neededNo branch controls anotherCongress has too much powerWhat title completes the table? A.Articles of Confederation and the ConstitutionB.Patriots and LoyalistsC.New Jersey Plan and Virginia PlanD.Federalists and Anti-Federalists A review of the height and weight of children around the world concluded that there are A cube has a volume of 73 cubic centimeters. What is its surface area insquare centimeters?Just type the number of the answer. Which country riches What is the sum of the atomic numbers of each element present in the reactants of the given formula?2 NH3 + H2SO4 (NH4)2SO4 state the statement true or false if false correct the statement(1) - People living in India's forest region called Gondwana are known as Gond tribe.(2)Tides - ebbs occurs in the sea due to the gravitational force of the sun the earth.(3) The wall like land form formed by the erosion of sea waves is called Delta. Choose the best answer. I'll let you be the Brainliest what force is represented by the vector What color uniform do cadets wear? Why did they choose this color? . The temperature fell 13c on each of the first 2 days of the week. It rose 7c on each ofthe next 3 days and fell 9c on each of the last 2 days. If the temperature was originally34% what was the final temperature? guys pls help me!!!!!! How do you think Balboas discovery might have changed the worlds maps at the time?