3
The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
A $6
B $7
C$10
D $4

Answers

Answer 1

Answer: A $6

Step-by-step explanation:

Let x = price per child ticket, y= price per senior ticket.

As per given, we have

5x+12y=102  (i)

12x+14y=156  (ii)

From (i), we have

[tex]x=\dfrac{102-12y}{5}[/tex]   (iii)

Put value of x in (ii), we get

[tex]12(\dfrac{102-12y}{5})+14y=156\\\\\\ \dfrac{1224-74y}{5}=156\\\\\\1224-74y=5\times156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=\dfrac{444}{74}\\\\\\ y=6[/tex]

Hence, the price of senior ticket = $6

Thus the correct option is A.


Related Questions

Measurement questions please help

Answers

Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

what is 3x² - 6x over x-2 simplified?

Answers

Answer:

3x

Step-by-step explanation:

3x^2 - 6x / x - 2

3x(x - 2) / x-2

cancels out

3x


3x^2-6x/x-2
3x(x-2)/x-2

=3x

Solve the inequality.
3x + 6 <21

Answers

Answer:

3x + 6 < 21

subtract 6 on both sides

3x < 15

reduce by dividing with 3

x < 5

remember to handle inequalities just like equations

Write an algebraic expression for the phrase. 4 times the sum of q and p

Answers

4(q+p)
4 times the sum of q and p

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar

An account pays 9% per year simple interest. In year 1, the amount in the
account is $750. How much is in the account in year 6?

Answers

Answer:

$405

Step-by-step explanation:

SI=PTR/100

=9*1*750/100

=$ 67.50

In 6 yrs= 67.50*6

=$405

Answer:

The answer is $1087.50

I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)

Multiply the binomials: (8a - 3b) (3a - 8b)

Answers

Answer:

24a²-73ab+24b²

Step-by-step explanation:

(8a - 3b) (3a - 8b) =

24a²-64ab-9ab+24b²

= 24a²-73ab+24b²

ssignment-make sure I can open it.
Factor
6
2) Using SYNTHETIC Division, is “X = 2” a
solution of the polynomial 2x² + 3x2 - 11X – 6
*Show all work just below

Answers

2(2)2= 8 + 3(2)2=12 - 11(2)= 22 - 6 and 8 + 12 - 22- 6 = -8

In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?

A.
27°
B.
66°
C.
87°
D.
93°

Answers

Answer:

66°{B}

Step-by-step explanation:

30°+57°+27°+x=180°

114°+x=180

x=180°-144°

66°

Answer:

I hope this helps

Step-by-step explanation:

What is point b on the coordinate plane?

Answers

Answer:

its (1,-3) if you got it wrong just let me know :3

can someone please help

Answers

Answer:

I think its Your Values, but try and a get a second opinion

can someone help me.

Answers

Hello there! I think that answer is $303
yea i’m pretty sure the answer is $303

pls tell plssssssssssssssssssssssssssss
:(

Answers

Answer:

x = 6 and y = 0

Step-by-step explanation:

x + 2y = 6

x = 6 - 2y                          equation(i)

substitute the value of x

x + 2y = 6

6 - 2y - 2y = 6

-4y = 6 - 6

y = 0/-4

y = 0

substitute the value of x in equation (i)

x = 6 - 2y

x = 6 - 2*0

x = 6-0

x = 6

Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the school to Cherry Street. Round your answer to the nearest tenth.

Answers

Answer:

[tex]11.2[/tex]

Step-by-step explanation:

We can use the distance formula to solve this problem.

This distance formula states that the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to [tex]\sqrt{(\Delta x)^2+(\Delta y)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

School is at coordinate point (9,6) and the closest point to school on Cherry St. is (4,-4).

Thus, the distance between school and Cherry Street is [tex]\sqrt{(9-4)^2+(6-(-4))^2}=\sqrt{5^2+10^2}=\sqrt{125}=5\sqrt{5}\approx \boxed{11.2}[/tex]

7th grade girl!

*(urgent, please help! )*

Answers

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

Which is the graph of f(x) = 4[1/2]x ?

Answers

Step-by-step explanation:

answer is in picture see

hope it helpful

PLEASE HELP ME PLEASSEEE!!

Answers

Answer:

Step-by-step explanation:

The balloon was released at 10 yards, and it landed at 16 yards. The maximum  height the balloon reached was 27 yards. To find how high the balloon is per yard we do 27 ÷ 3 = 9

so on the table we do:

x-axis      y-axis

10        |     0

11         |     9

12        |     18

13        |     27

14        |     18

15        |     9

16        |     0

Please help what’s the answer ??

Answers

Answer:

x = 8

In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.

6 + 6 + 6 = 18

Kaj and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $4.75 and a drink for $3.75. How much would it cost if they bought 6
bags of popcorn and 3 drinks? How much would it cost if they bought p bags of
popcorn and d drinks?
Total cost, 6 bags of popcorn and 3 drinks:
Total cost, p bags of popcorn and d drinks:

Answers

Answer:

Total cost of 6 bags of popcorn and 3 drinks: [tex]\$39.75[/tex]

Total cost of [tex]p[/tex] bags of popcorn and [tex]d[/tex] drinks: [tex]4.75p+3.75d[/tex]

Step-by-step explanation:

Information given:

One bag of popcorn is $4.75One drink is $3.75

Therefore, the total cost of 6 bags of popcorn and 3 drinks must be [tex]6\cdot 4.75+3\cdot 3.75=\boxed{\$39.75}[/tex]

The cost of [tex]p[/tex] bags of popcorn and [tex]d[/tex] drinks is then [tex]\boxed{4.75p+3.75d}[/tex]

Find F(-5) if f(x)=6

Answers

Answer:

on seconded I will come back and edit my answer

Total area of composite figure

Answers

Answer:

Hello! answer: 99 units2

Step-by-step explanation:

9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45

54 + 45 = 99 therefore the area is 99 units2 hope that helps!

Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?

Answers

Answer:

i think it will be chose 3 times

Step-by-step explanation:

im not sure thats my pridiction

Answer:

0.4

Step-by-step explanation:

prove that 9^3/2 -3 *5^0 -(1/81)^-1/2 = 15


Pls help, correct answer, I’ll mark as brainliest

Answers

Answer:

[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]

Step-by-step explanation:

The given expression is :

[tex]9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}=15[/tex]

We need to prove that LHS is equal to RHS.

Taking LHS,

[tex]=9^{3/2}-3\times 5^0-(\dfrac{1}{81})^{-1/2}[/tex]

[tex]=(3)^{2\times\dfrac{3}{2}}-3-(\dfrac{1}{9})^{2\times \dfrac{-1}{2}}\\\\=27-3-9\\\\=15\\\\=RHS[/tex]

Hence, LHS = RHS.

12.
Find the value of x. If necessary, round to the nearest tenth.


A. 7.0 in.

B. 9.9 in.

C. 14.0 in.

D. 11.9 in.

Answers

Answer:

9.9 inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the length of the height

49 = 1/2 x*x

Multiply each side by 2

2*49 = x^2

98 = x^2

Take the square root of each side

sqrt(98) = sqrt(x^2)

9.899494937 =x

Rounding to the nearest tenth

9.9 =x

Complete the equation for the relationship between the weight and number of months

Answers

Y=5.5x because I know

Help plz..And No links!! I repeat No links!!

Answers

Step-by-step explanation:

Apply foil method.

First,

[tex]4z \times z = 4 {z}^{2} [/tex]

Outer,

[tex]z \times - 1 = - z[/tex]

Inner,

[tex]4z \times 1 = 4z[/tex]

Last,

[tex]1 \times - 1 = - 1[/tex]

Add terms.

[tex]4 {z }^{2} + 3z - 1[/tex]

On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840

Answers

Answer: 0.0033

Step-by-step explanation:

Let x be a random variable that denotes the weights of cows.

Given: [tex]\mu = 483,\ \sigma=70[/tex]

maximum weight can be hold= 2840 pounds.

Mean weight = [tex]\frac{2840}{5}[/tex] = 568 pounds

The probability their total weight will be over the maximum allowed of 2840

= [tex]P(X>2840)[/tex]

[tex]P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{568-483}{\dfrac{70}{\sqrt{5}}})\\\\=P(z>2.715)\\\\=1-P(z<2.715)\\\\=1-0.9967=0.0033[/tex]

Hence, the required probability = 0.0033

Please help me find all the answers.

Answers

Answer:

g = 10

Step-by-step explanation:

First, let's find the missing value of the 'C'

180 - 110 = 70 degrees

Now that we have the answer for one side, we can make an equation:

2g + 9g + 70 = 180 (area of a triangle is 180 degrees)

11g + 70 = 180

11g = 180 - 70

11g = 110

g = 110 / 11

g = 10

The value of g is 10 so we can now add them to the expression:

2g = 2(10) = 20

9g = 9(10) = 90

To make sure that you have the correct answer, add the values so that you get an answer as 180:

70 + 20 + 90 = 180

hope this helps....

From the given figure, We can notice that :

∠BCA + 110° = 180°      (Because they make a Linear Pair)

⇒  ∠BCA = 180° - 110°

⇒  ∠BCA = 70°

We know that : Sum of the Angles in a Triangle should be equal to 180°

⇒  2g° + 9g° + ∠BCA = 180°

⇒  11g° + 70° = 180°

⇒  11g° = 180° - 70°

⇒  11g° = 110°

⇒  g° = 10°

⇒  9g° = (9 × 10) = 90°

⇒  2g° = (2 × 10) = 20°

which set of values could be the side lengths of a 30-60-90 triangle

Answers

Answer:

D. 6, 6[tex]\sqrt{3}[/tex], 12

Step-by-step explanation:

the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]

so,

[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]

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