Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.

Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.

A.10a + 15c = 20
a + c = 225

B.10a + 15c = 225
a + c = 20

C.15a + 10c = 225
a + c = 20

D.15a + 10c = 20
a + c = 225

Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.10 adults and 10 children
C.15 adults and 5 children
D.9 adults and 9 children

Answers

Answer 1

Answer:

Part A) C

Part B) A

Step-by-step explanation:

For part B I solved for a (adults) which then I got 5

I will attach an image of my work for part b

sorry for the poor quality picture

Mr. Ramirez Purchased 20 Concert Tickets For A Total Of $225. The Concert Tickets Cost $15 For Adults
Answer 2

The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let a represent the number of adult tickets and c represent the number of children's tickets.

The total number of tickets purchased is 20, so we have:

a + c = 20

The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:

15a + 10c = 225

Therefore, the system of equations that represents the given scenario is:

a + c = 20

15a + 10c = 225

Now let us solve a and c values by using substitution method.

a=20-c

Now substitute in equation 15a + 10c = 225

15(20-c)+ 10c = 225

300 - 15c + 10c = 225

-5c = -75

c = 15

Substituting c = 15 into the first equation, we get:

a + 15 = 20

a = 5

Therefore, the system of equations that represents the given scenario is

a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).

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Related Questions

Make a chart of real number system

Answers

Answer:

we can only answer your question

Step-by-step explanation:

If a tessellation is regular, how many sides can the tessellating regular
polygon have?
Check all that apply.
A. 3
B. 5
C. 4
D. 10
E. 9
F. 6

Answers

Answer: 3, 4, 6

Step-by-step explanation: equilateral triangle, square, regular hexagon

In a regular tessellation 3,4,6 sides can be tessellating regular

polygon.

What is regular polygon?

A normal tessellation is one made the use of only one regular polygon. A semi-normal tessellation uses or extra ordinary polygons. Triangles and squares, for example, shape ordinary tessellations and octagons and squares for a semi-normal tessellation.

First of all, there are handiest 3 normal tessellations which can be triangles, squares, and hexagons. To make a ordinary tessellation, the inner angle of the polygon has to be a diviser. that is due to the fact the angles need to be introduced as much as so it does now not leave any gaps.

A polygon having identical facets of identical lengths are known as everyday polygons. A ordinary polygon is a polygon that is equiangular i.e. all the angles are equal in measure and equilateral i.e. all facets have the equal length.

A line of symmetry is a line that can be attracted to divide a parent into same halves. A determine has line symmetry or reflection symmetry while it could be divided into identical halves that match. A discern has mirrored image symmetry if it could be meditated throughout a line and look exactly the same as it did earlier than the reflection.

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Both diagonal lengths of a kite are multiplied by 3. Which of the following describes the effect of this change on the area? PLZZ HELP!!! THE RED IS THE ONE I GOT WRONG

Answers

Answer:

The area is multiplied by 9

Step-by-step explanation:

Since the area of a kite is the two diagonals multiplied together and then divided by two (turn the kite into two triangles if you don't believe me), then the change in area would be from x*y/2 to 3x*3y/2, which is the same as 9x*y/2, i.e. nine times the original area.

Answer:

The correct answer:  The area is multiplied by 9.

Step-by-step explanation:

35.3 rounded to the nearest tenth

Answers

Answer:

35.5

Step-by-step explanation:

Your number is already rounded to the nearest tenth

You roll two dice while playing a game, hoping that you will either roll a 5 or a 12.
What is the probability that you will roll what you want?

Answers

Answer:

2/12

Step-by-step explanation:

The truth table represents statements p, q, and r.

p q r
A T T T
B T T F
C T F T
D T F F
E F T T
F F T F
G F F T
H F F F
Which statements are true for rows A and E? Select two options.

p ↔ q
q ↔ p
q ↔ r
r ↔ p
r ↔ q

Answers

Answer:

1 and 3

Step-by-step explanation:

yes

Convert 52×10‐¹⁰ into prefixes

Answers

Answer:

510

Step-by-step explanation:

0.0000000052
Since the it’s negative it will go backward.

Name the 3-D shape that the net represents.

Answers

Triangular prism Bc it is that’s exactly what it is

In Frank's piggy bank, there are only quarters
and dimes. He has 37 coins, and has a total of
$5.50. How many quarters does he have?

Answers

Answer:

12 quarters

Step-by-step explanation:

number of quarters ---------x

number of dimes ------------y

therefore, x + y = 37---------------times 10 both sides --------10x + 10y = 370-------equation 1

              0.25x + 0.1y = 5.5 -----times 100 both sides -------25x + 10y = 550 ------equation 2

equation 2 minus equation 1 is 25x + 10y - 10x - 10y = 550 - 370 ------ 15x = 180 -------x = 12

there are 12 quarters

HELP ME PLS

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

A) the slope of the line AB

B) The length of the line AB

Answers

Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .The length of line AB .

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

Plug in the respective values ,

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .

Suppose each license plate in a certain state has one digit, followed by four letters, followed by one digit. The letters F, O, S, and X and the digit 0 are not
used. So, there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using
this format?

Answers

Each digit can be 1 of 9 numbers.

Each letter can be 1 of 22 letters.

To find total combinations, Multiply each number of choices by each number of choices.

9 x 22 x 22 x 22 x 22 x 9 = 18,974,736 total combinations

ill give brainliest help

Answers

Answer:

9 cm

Step-by-step explanation:

Length = 72 / (4 x 2)

Length = 72 / 8

Length = 9 cm

Hope that helps! :)

-Aphrodite

Answer:

9 cm

Step-by-step explanation:

4 * 2 = 8

72/8=9

Albert's rectangular garden is 6ft by 3ft. He wants to lengthen both dimensions by the same number of feet so that the new area will be 40 square feet. What will be the new dimensions?

Answers

Answer:

8 and 5

Step-by-step explanation:

Let the number of feet added = x

(x + 6) ( x + 3) = 40               Remove the brackets

x^2 + 6x + 3x + 18 = 40        Combine like terms on the left

x^2 + 9x + 18 = 40                Subtract 18 from both sides

               -18    -18

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x^2 + 9x - 22 = 0

This quadratic factors

(x + 11)(x - 2)

x + 11 = 0

x = - 11 which makes not sense.

x - 2 = 0

x = 2

The answer is x = 2

Check

6+2 = 8

3+2 = 5

8 * 5 = 4- just as it should.

HELPPP PLZZZZ ASAP IS PLEASEEE DONT SEND A FILE AT ALL

Answers

Answer:

I am telling I am new to this

Please help. I don't have much time.

Answers

Answer:

D I think

Step-by-step explanation:

Hope this helps.

Answer:

Option C would be correct!

Step-by-step explanation:

Since,

For Option A 8(2r) would be 16r not 10r

For Option B 6r + 3 would be 6r + 3 not 9r

For Option C 9(3r - 4) would be 27r - 36, and that indeed is the answer

For Option D r + r + r + r + r would be 5r not r⁵

Hope this helps!

Type the correct answer in each box. Tyler visited five friends at their respective houses. He started from his house at A and walked to his friend’s houses at B, C, D, E, and F in that order, before returning home to A. If each unit on the coordinate plane represents 1 block, the total distance that Tyler traveled is blocks. The area of the route he covered is square blocks.

Answers

the answer is 5

explenation

Tyler visited five friends at their respective houses. He started from his house at A and walked to his friend’s houses at B, C, D, E, and F in that order, before returning home to A.

If each unit on the coordinate plane represents 1 block, the total distance that Tyler traveled is  

16

blocks. The area of the route he covered is  

16

square blocks.

simple explenation: i took the test

Tyler visited five friends at their respective houses. The area of the route he covered is 16 square blocks.

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

Tyler visited five friends at their respective houses.

He started from his house at A and walked to his friend’s houses at B, C, D, E, and F in that order, before returning home to A.

If each unit on the coordinate plane represents 1 block,

Then, the total distance that Tyler traveled is blocks.

Then, The area of the route he covered is 16 square blocks.

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What percent is 12 of 32 need help quick

Answers

37.5% I believe12 ÷ 32 = 0.3750.375 = 37.5%Please let me know if I am wrong.

Answer:

37.5%

Step-by-step explanation:

got this question correct

7 and 8 I’ll give 20

Answers

Answer:

2 and 3 i guess hope this helps

Answer:

for seven no questions and is 12 and for 8 no question is 5

During snack time at preschool,the teacher divided 3/4 of a gallon of milk evenly among 6 students. How much milk did each student get?

Answers

United States Gallon or Imperial?

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

x=48
explanation: all triangles have 180 degrees.
90+42=132
180-132=48

Answer:

48

Step-by-step explanation:

180=x+90+42 (sum of angles of triangle)

180=x+132

180-132=x

48=x

If 10% is deducted from a bill, $58.50 remains to be paid. How much is the bill?

Answers

Answer:

got u

Step-by-step explanation:

$64.35

58.50 plus 10% equals 64.3t

What is 3 raised to the power of 1?

Answers

Answer:

Three to the power of one is still 3

Step-by-step explanation:

Anything to the power of itself is the original number. :D

Please help me I’m really stuck

Answers

Answer:

/ 3=/ 5 { alternate anglea}

/ 5+/6 =180° {straight angle}

/ 6=180-26

/ 6=154°

hope it helps

stay safe healthy and happy.

Brainliest goes to whoever answers correctly plzz help

Answers

Answer:

all are functions except  the graph because if u use a ruler it touches the lines more than once at one time

Step-by-step explanation:

mrk me brainliest plz

Brainlest (if correct) and 30 points!
A scientist measures the heights of sunflower plants. The histogram shows the results. Which statement is correct?​

Answers

Answer:

C. The data are skewed to the left, so the median height is greater than the mean height.

Step-by-step explanation:

The answer is C because the mean is typically less than the median when the data is skewed left.

511 ÷ 7 pls show how you got it

Answers

Answer:

Step-by-step explanation:511÷7

Answer is 73

Hope it's helps you

A savings account starts with $250. It earns $30 in 2 years. Find the
rate of interest

Answers

Answer:

The annual interest rate is 6%

Step-by-step explanation:

Use the formula for simple interest:  i = prt.

Set i = prt equal to $30:  $30 = prt

Solve this for r:

         $30

r = -------------- = ($30) / ($500)  = 0.06

      $250(2)

The annual interest rate is 6%

what is the LCM of the numbers 9, 21 using prime factorizations

Answers

What is the Least Common Multiple of 9 and 21? Least common multiple (LCM) of 9 and 21 is 63.
Give them Brainliest!

A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provided.
input 1 2 3 4 n
output -7 -10 - 13 -16

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Answer:

i saw someone else ask  this question i'm trying to remember the answer

Step-by-step explanation:

What is the volume of this cone?

Answers

Answer:

50π or 157.07963267949 plus whatever it is in (inches, feet)

Step-by-step explanation:

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