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

Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line​

Answers

Answer:

-5+4= -1

Step-by-step explanation:

On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.

Write the expression 83⋅83⋅83⋅83⋅83⋅83 as a power.Enter your answer by filling in the boxes.$$

Answers

Answer:

It's (8/3) 6  I took the test and that was the answer. Your Welcome!!!!!!!!!!!!!

Answer:

Its 83 the power of 6. Also Please choose my anwer as brainliest

Selena and Demi run a gift delivery business. Selena charges a delivery fee that is $18, and she also charges $6 per gift delivered. Demi charges $16, and she also charges $8 per gift delivered. How many gifts have to be delivered before they charge the same amount?

Answers

Answer:

1 gift

Step-by-step explanation:

Cost per gift + delivered cost

Selena       $6x + $18        

Demi           $8x + $16

$8x + $16 = $6x + $18

 $2x - $16 = $18

  $2x = $18 - $16

   $2x = $2

      x = 1

Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?

Answers

Answer:

Betty is 15.

Mike is 5.

Step-by-step explanation:

We can let Betty's age be b and Mike's age be m.

Since Betty's age is 3 times of Mike, then

[tex]b=3m[/tex]

In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.

Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].

We know that [tex]b=3m[/tex], so we can substitute that:

[tex]3m+5=2(m+5)[/tex]

Expand:

[tex]3m+5=2m+10[/tex]

Subtract 5 from both sides:

[tex]3m+5-5=2m+10-5[/tex]

[tex]3m=2m+5[/tex]

Subtract 2m from both sides:

[tex]3m-2m=2m+5-2m[/tex]

[tex]m=5[/tex].

Mike is 5 years old.

Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]

The ratio of dogs to cats is 25:75. How many cats are there if there are 75 dogs?​

Answers

Answer:

225

Step-by-step explanation:

25:75=75:?

25*3 is 75, so 75*3 is ?

75*3 is 225

Hope this helps!

Let me know if it does

Answer: 225 cats

Step-by-step explanation:

25 dogs x 3: 75 cats x 3

75 dogs: 225 cats

HELP PLS!!!!!!
How many oranges can you make by just using 3 straight cuts? (a) 3 (b) 6 (c) 7 (d) 8

Answers

Answer:

D will be the answer

Step-by-step explanation:

You could cut the orange into four pieces by using 2 straight cuts/making an x on the orange. Then you could flip the orange onto the side/middle and cut again to make 8 pieces.

Hope this works for you!

6 you can make 6 orange slices

Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.

Answers

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct

Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.​

Answers

Because all sides will be equal to 60 degrees equilateral triangle are all congruent (and therefore they all measure 60° ) however also you can see the other triangles theta and degree and angle which all triangles always add up to 180 degree. So if you got one degree on a triangle 90 then the next one 60 then with out a shadow of doubt the last one will be 30 degrees

A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?

Answers

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

9. Using a twenty sided number cube, what is the probability that you will roll an even number or
an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
(1 point)

Answers

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

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

Order the following fractions from least to greatest

Answers

Answer:

1/8, 2/9, 3/7, 5/8, 4/5

Step-by-step explanation:

mark brainlist

Answer: he is right I don't want to still his win

Step-by-step explanation:

mark him brainiest

Alr guys I need a refreser on long division because my little sister needs help with it (Help :') )

Answers

Answer:

116 remainder 1

116 1/3

116.333

Step-by-step explanation:

Answer:

116 with a remainder of 1

Step-by-step explanation:

Picture below shows step by step work

Hopefully this helps!

Brainliest please?

can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

a tv was sold at 9% profit with cost price rs 18000 calculate the sale price of tv

Answers

Answer:

the sale price of tv is 1620

Step-by-step explanation:

9/100 because full percentage is from 100%

9/100 x 18000

cut 00 from 18000

we will cut it because 100 also have two 0 and 18000 we will cut two 0

next it will be = 9/1 x 180 one is nothing no so it will be

9 x180 answer = 620

plz mark me as brainliest

2x+5+2x+3x in One sloution, and no solution.

Answers

[tex]2x + 5 + 2x + 3x \\ = 7x + 5[/tex]

- BRAINLIEST answerer

Using the formula find the slope of a line with these two points (2,10) and (5,15).

Answers

Answer:

1.66667

Step-by-step explanation:

using online slope calculater

IM FAILLING PLZ HELPPPPP MEEEE

Answers

Answer: (x+ 13, y+13)

Step-by-step explanation:

DUE BY 11:59 PM!!

HELP GREATLY APPRECIATED!!​

Answers

Answer:

Step-by-step explanation:

1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.

2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.

3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.

4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.

Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)

To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls

Answers

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

13.065
-0.07
_________

Answers

Answer:

12.995

Step-by-step explanation:

if a temperature is 2 celcious and falls by 7 celcious what is your new temperature

Answers

-5°C or negative 5 degrees Celsius

Answer:

-5°C

Step-by-step explanation:

if you want to subtract a smaller number from a bigger number you can consider the number line attached below. I have marked 2 and -5 with blue ink.

When you use a number line, firstly see where your first number lies on the number line, in this case 2 is your first number. If you have to subtract a number, you have to move left and if you have to add a number you have to move right on the number line.

As you have to subtract 7 from 2, move 7 spaces to the left counting zero as a number. If you count 7 spaces to the left, it will end at -5.

So your answer is -5°C.

Hope this helps!!

Can anyone help me? asap if possible

Answers

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

which temperature values would an interpolation be limited to? less than 3 between 3 and 60 between 20 and 80 greater than 55

Answers

Answer:

B. between 3 and 60

Step-by-step explanation:

Answer: B.

Step-by-step explanation: On Edge! :)

Find the area! Explain all thinking!! Thank you! <3

Answers

Answer:

80

Step-by-step explanation:

you can divide the shape into a square and a rectangle, the square being the 7 by 10 area. by that logic, you can find the area of that portion to be 70. now you have the cut off rectangle to find, and you know one side is 2. to find the other side, you have to subtract 7 from 12 because by doing that you get the value of just that portion of the side. by doing that you get 5. going from there, you can multiply 2 by 5 to get 10 for the area of the rectangle. now you have to add 70 and 10, and you get 80!

hope this helped :D

the answer is 80 because of the rule of congruent shapes pls make me brainliest as i need one more to move up hope this helps and have a great day :)

can someone PLEASE tell me the answer to this?

Show your work and explain please :D

Answers

Answer:

6ft: 25.667ft   /   7ft: 22ft

Step-by-step explanation:

Since the question shows 7ft but the diagram shows 6ft I will show how to do both

FOR 6FT

Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft

Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x

6/28 = 5.5/x

6x = 154

x = 25.667ft

FOR 7FT

Same process as before, replace 6 with 7

7/28 = 5.5/x

7x = 154

x = 22ft

What is the equation in slope intercept form of the line that passes through the points (2,7) and (4,10)?

Answers

Answer:

y = 3/2x + 4

Step-by-step explanation:

First, you find the slope(y1 - y2/x1 - x2) which you can subsitute to 10 - 7/4-2, which will get you 3/2 and you put that in the place of the slope (m). So now our equation is y=3/2x+ y-int, to find the y intercept, there is a method which you can use to find it is to time the x point in a set by the slope, and minus it using the y to find the y intercept. In this case, you time the 2 by 3/2, which will get you 3, and minus it by the y that is 7, and you will get 4

The temperature at 6 am was −3°C. By lunch time the temperature had risen by 5°C. What was the temperature at lunch time?

Answers

Answer:

2°C

Step-by-step explanation:

just add 5 to -3

-3+5=2  

so ur answer is 2

A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place, how many times greater would the value of the 2 be?

The value of the 2 would be ____ times greater

Answers

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

What is place value?

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

For more references on place value, click;

https://brainly.com/question/27734142

#SPJ2

7x + 2y = -7
11x + 5y = 2

Answers

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

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

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

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

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

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