At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?

Answers

Answer 1

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]

From equation 1

[tex]a = 133-c[/tex]

Putting this in equation 2

[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]

Putting c = 78 in equation 1

[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]

Hence,

55 adult tickets were sold on Friday.


Related Questions

I’m so confused. I need help :C

Answers

Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4   .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

I have to find the difference I need help tho

Answers

(10x^4 - 4x^3 - 7x^2 + 5x + 9) - (2x^4 - 5x^3 - 4x^2 + 9x + 3)
first, rearrange the terms :
(10x^4 - 2x^4 - 4x^3 + 5x^3 - 7x^2 + 4x^2 + 5x - 9x + 9 - 3)

keep in mind that only x-terms with the same power can have an effect on each other hence the difference will be :
8x^4 - x^3 - 3x^2 - 4x + 6

77 is 56% of what number

Answers

Answer:

137.50

Step-by-step explanation:

please give branliest

Answer:

137.5 I think I might be wrong..

If in the 1980's about 60 million families had Tv's in their homes and in 2015 there was almost 100 million families that had Tv's in their home how many more Tv's were there in 2015?

Answers

Answer: 40 million

Step-by-step explanation:

Number of families that had TVs in their home in 1980s = 60 million

Number of families that had TVs in their home in 2015 = 100 million

To calculate the increase in TVs that were there in 2015, we subtract the number of families that had TVs in their home in 1980s which was 60 million from the number of families that had TVs in their home in 2015 which was 100 million. This can be expressed as:

= 100 million - 60 million

= 40 million

Answer:

it would be 1950 and 45 million

Step-by-step explanation:

Every ride at the country fair costs the same amount. The cost of one ride is $2.25. The fair entry fee is $6.50. Lupe paid the entrance fee and rode 7 rides. How much did Lupe pay in all?

Answers

Answer:

$22.25

Step-by-step explanation:

Step one:

given data

we are told that the cost of  one ride is $2.25

the entry fee= $6.5

the linear function for the situation is represented by the equation of line

y=mx+c

Step two:

let x be the number of ride

given that x=7

substituting we have

y=2.25(7)+6.5

y=15.75+6.5

y=22.25

In all Lupe we have to pay $22.25

The diagram below shows the side view of a ramp used to help load and unload a moving van.
Ramp
3 ft
9 ft
Which measurement is closest to the length of the ramp in feet?
9.5 ft
13.5 ft
8.5 ft
10.5 ft

If u get it right I will mark Brainliest!!

Answers

Answer: 9.5

Step-by-step explanation: I got it right in my test :)

Answer:

9.5 ft would be the closest to the length of the ramp in feet.

Step-by-step explanation:

I had the exact same question on my test, I got it correct :)

x2+ x -12x-pWhat value should be substituted for p for the expression to reduce to (x + 4) ?

Answers

Handball the Theo thaow d skskozoaow.

Which equation represents a line that is perpendicular to y=x?

A.

y=2x

B.

y=−x+6

C.

y=−2x

D.

y=x+1

Answers

Answer:

B

Step-by-step explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer

place the following numbers in order from least to greatest



-8.2, 0.4, NEGATIVE 2 AND 1/2, and 2.4

Answers

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

-6x+9-4x=14 The value for x

Answers

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[tex] - 6x + 9 - 4x = 14[/tex]

[tex] - 6x - 4x + 9 = 14[/tex]

Collect like terms

[tex]( - 6 - 4)x + 9 = 14[/tex]

[tex] - 10x + 9 = 14[/tex]

Subtract sides 9

[tex] - 10x + 9 - 9 = 14 - 9[/tex]

[tex] - 10x = 14 - 4 - 5[/tex]

[tex] - 10x = 10 - 5[/tex]

[tex] - 10x = 5[/tex]

Divide sides by - 10

[tex] \frac{ - 10x}{ - 10} = \frac{5}{ - 10} \\ [/tex]

[tex]x = - \frac{5}{10} \\ [/tex]

[tex]x = - \frac{5}{5 \times 2} \\ [/tex]

[tex]x = - \frac{1}{2} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Help please ASAP Thank you

Answers

Answer:

uh is  it 2 and o.6 i think

Step-by-step explanation:

Solve: negative 1 over 2 x + 1 = −x + 8 (5 points)

a
7

b
1 over 2

c
14

d
18

Answers

it is 14 because if you have -1/2x + 1 = -x + 8 you would combine the multiplied terms into a single fraction then subtract the one from both sides simplify till you get -x/2 = -x + 7 then you will add like terms so the x’s then you multiply all terms by two like 2(-x/2)= 2•7 then you can get 14.
(Sorry if you didn’t need the whole explanation)

Answer:

14

Step-by-step explanation:

PLEASE HELP ME :(
evaluate each expression
7-9

Answers

Answer:

7. 64

8. -100000

9. 729

Step-by-step explanation:

I did it on a calculator.

Fill in the blank.

(45)×(512) = ___ / 5×12

Answers

Answer:

x=1382400

this should be right

Answer:

1382400

Step-by-step explanation:

Well, we can first find that 5x12 is 60 so if you substitute it, it would be:

45x512 = ___ / 60

We can also substitute ___ as x:

45x512 = x/60

45x512 is 23040 so, 23040 = x/60.

Bring sixty to the other side and multiply

x= 23040 x 60 = 1382400

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​

Answers

Answer:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Or, in standard form:

[tex]f(x)=-4x^2-20x+56[/tex]

Step-by-step explanation:

We can use the factored form of a quadratic equation:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

[tex]f(x)=a(x-2)(x+7)[/tex]

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

[tex]32=a(1-2)(1+7)[/tex]

We can now solve for a. First, compute:

[tex]32=a(-1)(8)[/tex]

Multiply:

[tex]32=-8a[/tex]

Divide both sides by -8:

[tex]a=-4[/tex]

So, the value of a is -4.

Therefore, our entire equation is:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Notes:

We can expand this into standard form:

[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]

The selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360. Find the markup from cost to sale price.

Answers

Answer:

72

Step-by-step explanation:

i just know it

If the selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360.Then 72 is the markup from cost to sale price

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The selling price of an item is ​$480

It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360

We need to find 10% of 480

10/100=0.1

0.1×480=48

48 is the 10% of 480

Now subtract 48 from 480

480-48

432

Now subtract 360 from 432

432-360

72

Hence 72 is markup from cost to sale price

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?

Answers

Answer:

V = 160 cm³ when P = 40 kg/cm²

Step-by-step explanation:

V = k / P

Where,

V = volume

P = pressure

k = constant of proportionality

The volume of a gas is 200 cm3 under pressure of 32 kg/cm2

V = k / P

200 = k / 32

Cross product

200 × 32 = k

6,400 = k

k = 6,400

What will be its volume under pressure of 40 kg/cm2?

V = k / P

= 6,400 / 40

= 160

V = 160 cm³

Can someone help me with problems in the image?

Answers

Answer:

13.m<9=110  14.m<4=115    15.m<10=70   16.m<11=70   17.m<8=65    18.m<5=65  19.m<3=65      20.m<14=110

Step-by-step explanation:

Help me with my ixl please, I don’t get this

Answers

Answer:

sas

Step-by-step explanation:

answer this question

Answers

Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

a is the coefficient of x²

b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

a = pq

∵ bx = (ps + qr)x ⇒ Divide both sides by x

b = ps + qr

c = rs

a = p * q

b = p * s + q * r

c = r * s

5. Multiply: -1/5(5/8)

Answers

Answer:

- [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{5}[/tex] × [tex]\frac{5}{8}[/tex] ( cancel the 5 on numerator/ denominator )

= - 1 × [tex]\frac{1}{8}[/tex]

= - [tex]\frac{1}{8}[/tex]

Plis answer me this question is do tomorrow

Answers

Answer:

133? i just did 400 divided by 3 lol

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

first, make sure that is the entire graph because if not this answer is wrong

20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60

diffrentiate between save and save as​

Answers

Step-by-step explanation:

The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help

Answer:

difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.

2. Lillie's grandmother is making potato salad for a family reunion. She uses three
potatoes for each person attending the dinner. If she expects 24 people to
attend the reunion, which proportion can be used to solve for p, the number of
potatoes?

Answers

Answer:

3/4*24=p or 0.25*24 *******excluding Lily's grandmother and her.

Step-by-step explanation:

Hope this helps.

Y=??? Answer pls I will try to answer one of urs if u do

Answers

Answer:

y=85

Step-by-step explanation:

What is the solution to the equation?
(x - 2)^1/2 + 4 = x
A. -3 and -6
B. 3 and 6
C. -3
D. 6

Answers

Answer: D
1/2x-1+4=x
1/2x-x=-3
-1/2x=-3
x=6

Answer:

(D). 6

Step-by-step explanation:

[tex]\sqrt{x-2}[/tex] + 4 = x and x ≥ 2

Let analyze the answer's choices

(A). Does not satisfy domain

(B). [tex]\sqrt{3-2}[/tex] + 4 ≠ 3

(C). Does not satisfy domain

(D). √(6 - 2) + 4 = 6 ⇒ x = 6 is the answer.

Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?

Answers

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

what is the smallest number you can make using 4 5 3 6

Answers

Answer:

3456

Step-by-step explanation:

What are all the factors of 54?

Answers

Answer:

The factors are: 1,2,3,6,9,18,27,54.

Hope this helped!

Answer: the answer is D 1, 2, 3, 6, 9, 18, 27, 54. :)

Using a Table to Multiply Multivariable Polynomials What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2 – 8xy + 12x + y2 – 2y 8x2 + 4xy + 4x + y2 – 2y 12x2 + 8xy + 4x + y2 + 2y

Answers

Answer: B.

[tex]12x^{2}[/tex] [tex]-8xy + 12x + y^2 - 2y[/tex]

Step-by-step explanation:

i just took the assignment

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