Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children and how many adults went to the play?

Answers

Answer 1

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the  number  of children be represented as  x

and the number of adults in the group  be represented as  as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+  22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+  22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3  and then subtract from equation 2

15x+  22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play,  Number of children = 2 and number of adults = 9


Related Questions

HELP PLEASE PLEASE PLEASE

Answers

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

(y - 0) = -1/2 * (x - -6)

y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

         x + 2y = - 6

Step-by-step explanation:

X-intercept:  (-6, 0)

Y-intercept:  (0, -3)    ⇒   b = -3

Slope:   [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{0+3}{-6+0}=-\dfrac12[/tex]

Slope-intercept form  y = mx + b

[tex]y=-\frac12x-3[/tex]        {multiply both sides by 2}

2y = - x - 6          {add x to both sides}

x + 2y = - 6

Which statement is true about the slope of the graphed line?
A. The slope is negative
B. The slope is positive
C. The slope is zero
D. The slope is undefined

Answers

Answer:

The answer is B, the slope is positive.

Answer: B, the slope is positive.

Step-by-step explanation:

The slope is positive because it is going upwards from left to right.

The county fair charges $.50 per ride and $10 to get
in. If you have $32, write an equation to find the
number of rides (r) you can go on.

Answers

Answer:

r=44 rides

Step-by-step explanation:

(32-10) ÷ 0.50 = r

r=44

Answer:

44 rides

Step-by-step explanation:

r=32-10/.50

r=44


6x = -24 Solve for x. *Please click on "show your work" to set up the problem and show your work. Then,
enter your answer in the box to the right. You must complete both of these steps.

Answers

Answer: x=-4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

You would begin by dividing 6 from each side to get x alone so it'll look like this:

x = [tex]\frac{-24}{6}[/tex]

When you divide, you get -4 because a negative divided by a positive is still negative.

Hope that helps!

please help asap!!!!

Answers

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

PLEASE HELP ILL MARK BRAILIEST!!!


P.S please show how you figured it out

Answers

Answer:

I think that the answer is either B or C

Step-by-step explanation:

I concluded to this answer simply by looking at where the lines were placed.

Remember that if a line is not touching, but next to another line, they are parallel to each other? Well, that doesn't change here. since, {m angle 1} and {m angle 2} added together equal 180, I would believe that the answer is C, but I may be wrong.

Well, I hope that helps :)

pls help if you know it


during a high school basketball game the home team scored 51 points and the opponent's score 62 points what is the point differential for (the difference between the number of points scored by a team and its opponent) for the home team?
-11
11
-10
10​

Answers

Answer:

11

Step-by-step explanation:

just do 62-51=11 which gets you the difference between points

Solve for x: please help

Answers

Answer:

45 because an acute angle is 45 degrees

Answer:

22.5

Step-by-step explanation:

22.5 + 22.5 x 3 =

22.5 + 67.5 =

90

Hope that helps!

y=-1/2-16K+10 in vertex form

Answers

Step-by-step explanation:

Let's solve for k.

y=

−1

2

−16k+10

Step 1: Flip the equation.

−16k+

19

2

=y

Step 2: Add (-19)/2 to both sides.

−16k+

19

2

+

−19

2

=y+

−19

2

−16k=y+

−19

2

Step 3: Divide both sides by -16.

−16k

−16

=

y+

−19

2

−16

k=

−1

16

y+

19

32

Answer:

k=

−1

16

y+

19

32

plzz answer fasttttt​

Answers

Answer:

45 square centimeters.

Step-by-step explanation:

Length(L) = 9 cm

breadth (b) = 5 cm

Area of the rectangle

= L * b

= 9 * 5

= 45 cm²

Hope it will help :)

Answer: 45 square centimeters

Step-by-step explanation: 9cm x 5cm = 45cm

You conduct a simulation regarding students scores on a physics test. Your null hypothesis is
that the mean score on the test is less than or equal to 80 points. Your alternative hypothesis is
that the mean score is greater than 80 points.
You determine that the results of your simulation have a p-value of 0.06. What does this mean?

Answers

Under the tested hypothesis, the outcome of the simulation has a probability of 6%. With a significance level of 5%, you should FAIL to reject the null hypothesis.

The p-value is the probability of getting true null hypothesis.

What is Null Hypothesis and Alternative Hypothesis?

Null hypothesis is a hypothesis of a test which assumes that there is no statistical relationship between two variables. This is the hypothesis which is being testes.

Alternative hypothesis assumes that there is a relationship between two variables.

Given that,

You conduct a simulation regarding students scores on a physics test.

Null hypothesis is that the mean score on the test is less than or equal to 80 points.

Alternative hypothesis is that the mean score is greater than 80 points.

p value = 0.06 = 6%

This means that there is only a 6% that the null hypothesis of yours is true.

So the p value tells you the probability of getting a true null hypothesis.

Hence the p value is the probability of getting true null hypothesis.

Learn more about Hypothesis here :

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Is 30% of 70 is the same as 3/7 of 70?

Answers

Answer:

No

Step-by-step explanation:

30% is the same as 3/10

3/7 is about the same as 43%  

There is a difference among the percentage so no it's not correct

Yes, the value 30% of 70 is the same as 3/7 of 70.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

To show this mathematically, we can start by calculating 30% of 70:

30% of 70 = (30/100) x 70

= 0.3 x 70

= 21

Now, let's calculate 3/7 of 70:

3/7 of 70 = (3/7) x 70

= 30/100 x 70

= 0.3 x 70

= 21

As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.

To know more about an expression follow

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B. 13 (x - 10) = -4

Answer: x =
Its a neg #

Answers

X=9.69
you have to distribute the 13 to x and -10 which gives you 13x-130=-4 then you add 130 to -4 because your going over the equal sign and it gives you 126 next you divide 126 by 13 which gives you 9.69

If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?

Answers

Answer:

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11


Please help I will give brainlist ❤️

Answers

I need more context sorry

If Jiraya had 16 cupcakes and naruto took away 5 cupcakes how many cupcakes does Jiraya have?​

Answers

Answer:

11

Step-by-step explanation: 16 - 5 = 11

Answer:

Jiraya has 11 cupcakes.

Step-by-step explanation:

lol hope this helps you and have a nice day :D

Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?




pa help po please kailangan na po kase e ​

Answers

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

How much would a house cost today if it cost $100,000 2 years ago before a 4% increase each year in housing prices?

Answers

Answer:

100000 × 1.04 × 1.04

Step-by-step explanation:

108160

How many more people like to swim than hike?
Show how you added or subtracted to find the answer

Answers

2 more people like to swim than hike because 4 (the people who swim) minus 2 (the people who hike) is 2 people

The number of people who likes to swim than hike is given by the equation A = 2 people

What is an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It demonstrates that the expressions on the left and right sides are connected in the same way.

An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of people who likes to swim be s= 4 people

Let the number of people who likes to hike be h = 2 people

Let the number of people who likes to bike be b = 3 people

Now , the equation will be

The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike

The number of people who likes to swim than hike A = s - h

The number of people who likes to swim than hike A = 4 - 2

The number of people who likes to swim than hike A = 2 people

Hence , the number of people who likes to swim than hike is A = 2 people

To learn more about equations click :

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Please please help :(((

Answers

her total loss was £8.50 was the last one i gave u wrong?

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.

Answers

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23

Answers

Answer:

84 x is your answer right answer right

Find the quotient

1. 22−9−2 ÷−5=
2. 3+ 27 ÷ +3=

Answers

[tex]1 \times 22 - 9 - 2 - 5 \\ 22[/tex]

Barry wants to make a drawing that is 1/2 the size of the original. If a tree in the original drawing is 11 inches tall and 5 inches wide,

Answers

Answer:

Barry's drawing is  5.5 in  tall and 2.5 in wide.

Step-by-step explanation:

We are given that

Height of tree, h=11 in

Width of tree, b=5 in

We have to find the size of the original.

Size of drawing is 1/2 size of the original

Therefore,

Height of drawing, h'=[tex]\frac{1}{2}\times 11[/tex]in

Height of drawing, h'=5.5 in

Width of drawing tree=[tex]\frac{1}{2}\times 5[/tex]

Width of drawing tree=[tex]2.5in[/tex]

Hence, Barry's drawing is  5.5 in  tall and 2.5 in wide.

Which decimal is equivalent to 2/9 ?
A) 2.2 repeating
B) 2.9
C) 22222
D) 0.2 repeating

Answers

Answer:

D) 0.2 repeating

Step-by-step explanation:

2÷9=0.2 repeating

Answer:

D

Step-by-step explanation:

Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!

Answers

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

How many solutions does this system of equations have?

Answers

Answer:

One solution.

A system of linear equations has one solution when the graphs intersect at a point.

I hope it's helpful!

Need help in rush...someone pls help me! And pls show work

Answers

Answer:

7.2 or 7.20 my work is explained below!

first divide $3.00 by 5. our answer would be .6 (check: .6x5=3)

so now we know .6 is the cost of 1 ticket. so next, we would multiply .6 by 12 to get our answer. our answer would be 7.2 or 7.20.

I hope this helped, have a good day / night! :)

Answer:

[tex]\frac{5}{3}=1.66666666667 \\1.66666666667 * 6 = 10\\10 * 2 = 20[/tex]

Step-by-step explanation:

Yoko's fish tank has 18 liters of water in it. She plans to add 5 liters per minute until the tank has more than 48 liters. What are the possible numbers of minutes Yoko could add water?

Answers

Answer:

7 minutes, 8 minutes, 9 minutes, or more

Really any minute more than 6 should do.

Step-by-step explanation:

48 - 18 = 30

30 ÷ 5 = 6

It says the tank should have more than 48 liters, so the answer should be more than 6 minutes.

If using the method of completing the square to solve the quadratic equation x^2-20x+33=0x
2
−20x+33=0, which number would have to be added to "complete the square"?

Answers

Answer:

The complete square of the given quadratic equation

( x - 10)² = 67

The solution of the quadratic equation

  x = 18.2     and x = 1.8

Step-by-step explanation:

Step(i):-

Given that the quadratic equation

         x² - 20 x +33 =0

         x² - 2(10) x +(10)²-(10)²+ 33 =0

By using (a-b)² = a² -2ab + b²

       ( x - 10)² -100 +33 =0

         ( x - 10)² - 67 =0

        ( x - 10)² = 67

Step(ii):-

The complete square   (x - 10)² = 67

                                     x -10  = ±√67

                                    x -10 = ± 8.1853

                      x -10 = 8.2   and x -10 = -8.2

                      x = 10+8.2   and x = 10 -8.2

                      x = 18.2     and x = 1.8

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