A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.

Answers

Answer 1

Answer:

12a + 5c = 169

22a + 10c = 314

Step-by-step explanation:

if a = adult tickets and c = children's tickets

12 adult tickets and 5 children's tickets costs 169 dollars

12a + 5c = 169

Also, 22 adult tickets and 10 children's tickets cost 314 dollars

22a + 10c = 314

Answer 2

Answer:

Its D :)

Step-by-step explanation:

Have a good day.


Related Questions

-2.7 = a - 3.3

what’s the operation
is it an inverse or a reciprocal
what does A=

Help ASAP

Answers

Answer:

a= 0.6

Step-by-step explanation:

This is the answer...........

Answer:

It is reciprocal.

A = 0.6

Step-by-step explanation:

Reciprocal” means “equality,”

To find the A. Use APE or Additive Property of Equality

-2. 7 = a - 3.3

-2.7 + 3.3 =  a

0. 6 = a

8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?​

Answers

Step-by-step explanation:

He was 19 years old when you were 5

8 + 24 = 32

32 - 5 = 27

hi please help with this
have a great day​

Answers

Answer:

Can you explain what this is then I can help

Answer:

- 11

Step-by-step explanation:

Given a = -2.9

Simplify the fraction:

(a² + a - 12)/(9 - a²) =(a² + 4a - 3a - 12)/(3 - a)(3 + a) =(a - 3)(a + 4) / - (a - 3)(a + 3) =- (a + 4) / (a + 3)

Now substitute the value of a:

- (- 2.9 + 4) / (-2.9 + 3) =- 1.1 / 0.1 = - 11

What is the total weight of the steel gate

Answers

Answer:

Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...

since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.

now that total length is known, simply multiply by weight/m for total weight

**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.

Find the nth term of this quadratic sequence 4, 7, 12, 19, 28

Answers

Answer:

The answer is 84

Step-by-step explanation:

4,7,12,19,28,39,52,67,84

If i can get 2 bags of Doritos and its 2 for $7.00. How much is for 1 bag of Doritos?

Answers

Answer:

$3.50 for 1 bag

Step-by-step explanation:

To Find How much is for 1 bag of Doritos Divided $7.00 by 2

Which gives you 3.50

Therefore for 1 bag of Doritos = $3.50

1

Leo reads 11 pages in hour. What is the unit rate for pages per hour? For hours per page?

4

The unit rate is page(s) per hour.

Answers

Answer:

it is 11 pages per hour

Step-by-step explanation:

so if you have 11 in a hour it should be 11 pages per hour

Please answer quick !! (show work too) Thank you!

Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?

Answers

Here u go

Answer:

$374

Step-by-step explanation:

She makes $30 per hour, today she worked 5 hours =) 30.5=150 ($)

28% of $800 = 28/100 . 800 = 224 ($)

Total: 150+224 = 374 ($)

how many tires would a car factory need to make for 45 cars

Answers

Answer:

180

Step-by-step explanation:

(assuming each car has 4 tires)

45*4= 180

Hope this helps! :)


Which table shows the values that would result from using the function machine?

Answers

Answer:

A

Step-by-step explanation:

Evaluate f(2). This gives you 2^2 + 1, which is 5. That eliminates C and D.

f(3) = 3^2 + 1 = 10. This must mean that A is the answer.

Evaluate.

(2a - 3) ÷ (b / 4) when a = 12 and b = - 20

Answers

Answer:

-4.2

Step-by-step explanation:

First me put a and b in

2x12

24

(24 - 3) = 21

b: -20

-20 divided by 4 = -5

21 divided by -5

Answer= -4.2

Mr. Tanaka is loading his boat with many identical 45-pound boxes. Mr. Tanaka weighs 190 pounds. The boat can carry at most 1,000 pounds. If each box is fully-filled, how many boxes can he load on the boat?
Write an inequality that represents this situation.

Answers

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

Which expression is equivalent to -2( x-7 )?

Answers

Answer: -2x+14

Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14

Answer: -2x+14

and have a bless day

Elian, a dishwasher in a restaurant, stacks clean dishes on shelves that can hold up to 12 dishes. Each of these shelves holds 4 stacks of dishes each. How many dishes can he fit onto 6 shelves?

Answers

Answer:

i think seventy two......72

Hey, do you know what 1+1+*6*6*8*7*1 is?

Answers

Answer:

it should be 2017 1+1*6*6*8*7*1

What is the y-intercept in the equation y = 4x-3?​

Answers

Answer:

-3

Step-by-step explanation:

y = mx + b

b is the y-intercept

Answer:

(0,-3)

This the answer hope this help

why (0.0) (3.4) (6.8) (6,12) not a function

Answers

Answer:

Step-by-step explanation:

Look at the first elements of the four points:  {0, 3, 6, 6}.  The element 6 appears twice and is associated with two different second elements:  {8, 12}.  That tells us immediately that this is not a function.

What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)

- 1/3
- -1/3
- 3
- -3

Answers

-3 because 4- -5 is 9 and -1 -2 is -3 and if you put 9/-3 you get -3/1 and -3/1 simplified is -3
Hey, so you use y= y2-y1/ x2-x1
y= 4-(-5)/-1-2
y= 9/-3
y= -3

Therefore, the slope of the line is y=-3

make your own dish pantry package potluck portfolio

Answers

Answer:

huh??

Step-by-step explanation:

Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=

Answers

Answer:

f(g(x)) = 12x² - 36x + 28

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x) )

= f(2x - 3)

= 3(2x - 3)² + 1 ← expand factor using FOIL

= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3

= 12x² - 36x + 27 + 1 ← collect like terms

= 12x² - 36x + 28

Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]

Answers

The required expression in terms of logarithm of prim numbers are;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Prime numbers are numbers that can only be divisible by 1 and itself.

From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers

405 = 3 * 3 * 3 * 3 * 5

405 = 3^4 * 5

8= 2* 2 * 2

8 = 2^3

81 = 3 * 3 * 3 * 3

81 = 3^4

The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

Similarly;

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Learn more here: https://brainly.com/question/23004769

please help. file is uploaded.

Answers

Answer:

9 + 4 = $13, Ms. Brown has 10 dollars which is not enough to pay for both Cranberry and Granola.

Step-by-step explanation:

Alright, so Cranberry is 3.25 per pound, and Granola is 2.19 per pound.

(2.9 and 1.75 is how many pounds of both Cranberry and Granola she wants.)

2.9 × 3.25 = 9.4

1.75 × 2.19 = 3.8

So when rounding,  9.4 would be rounded to 9. Then 3.8 would be rounded to 4. So no, Ms. Brown doesn't have enough to pay for both. 9 + 4 = $13

Have a good day friend! :D

Answer:

Let us use the variable "x" to represent the cost per Ib for each mix.

Cranberry: x = 2.9

Granola: x = 1.75

Ms.Brown buys 1.75 pounds of granola and 2.9 pounds of cranberry. Since the cost per pounds represent x, we can write the follow:

[tex]2.19(1.75)+3.25(2.9)[/tex]

[tex]3.83 + 9.42 = 13. 25[/tex]

Round to nearest cent,

Total Cost= $13

Since it is given that Ms.Brown has a $10 budget, she won't have enough for the purchase. She'll need $3 more.

help................................................

Answers

Answer:

C. 16ft by 4ft

Step-by-step explanation:

HELP I WILL GIVE BRAINLEST

Answers

Answer:

the answer is A

Step-by-step explanation:

Sin is for a and in this picture a is y

The equation y=0.2x models a proportional relationship. Complete the table and graph the data.

Answers

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

(x,y)=(0,0)

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

(x,y)=(5,1)

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

(x,y)=(10,2)

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

(x,y)=(15,3)

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

(x,y)=(20,4)

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.


1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.

Answers

The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.

Area of the potato field = length * width

Length = x^2 + 7x + 12

Width = x + 6

Substitute into the formula to get the required polynomial

Area of the potato field = (x^2 + 7x + 12)(x+6)

Area of the potato field = x^3+6x^2+7x^2+42x+12x+72

Area of the potato field = x^3 + 13x^2 + 54x + 72

Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

Learn more on polynomial expression here: https://brainly.com/question/21534285

What is the greatest perfect square that is a factor of 4725

Answers

Answer:

225 is a greatest perfect square that is a factor of 4725 .54 views

THE FIRST ONE TO GET IT CORRECT GETS 100 POINTS PLEASE

Answers

Answer:

B should be correct

Step-by-step explanation:

hope this helped

mark me brainliest

plus... this aint no 100 points... just such a scam...

i just did it cause i help ppl. i dont look at points...

Answer:

Your answer would have to be the last one ( [tex]a^{-7}[/tex]).

Step-by-step explanation:

Hope this helps!

what kind of cup that doesn't hold water​

Answers

Step-by-step explanation:

cupcake that doesn't hold the water.

If I’m not mistaken it’s hiccup

A baker baked some loaves of bread. 240 loaves were sold by the end of the day. The baker was left with 9/25 of the number of loaves that were baked. How many loaves of bread did the baker bake on that day?

Please do this in a easy way and explain no algebra

Answers

Answer:

The baker baked 375 loaves of bread that day.

Step-by-step explanation:

The baker baked a total of x loaves of bread.

240 loaves were sold by the end of the day.

The baker was then left with 9/25 of the number of loaves that were baked.

We get the equation:

x-240 = 9x/25

When you solve the equation, you will see that x=375.

Therefore, the baker baked 375 loaves of bread that day.

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