Mr. Ramirez purchased 50 concert tickets for a total of $575. The concert tickets cost $15 for adults and $10 for children under the age of 12.

Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children.

Answers

Answer 1
Answer: He purchased 15 adult tickets and 35 child tickets.

Explanation:
a = adult tickets
c = child tickets

a + c = 50
15a + 10c = 575

The first equation can be rearranged and substituted into the second equation.

a = 50 - c
15(50 - c) + 10c = 575
750 - 15c + 10c = 575
750 - 5c = 575
-5c = -175
c = 35

The value of c can be substituted into either one of the original equations to find a.

a + c = 50
a + 35 = 50
a = 15

Check:
a + c = 50
15 + 35 = 50
50 = 50

15a + 10c = 575
15*15 + 10*35 = 575
225 + 350 = 575
575 = 575

Related Questions

Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?

Answers

Answer:

The parking lot is actually 49 meters.

Which of the following equations are models for the ordered pairs shown in the table?


A. Y=4X+1
B. Y=1/4 X+1
C. Y=-4X+1
D. Y=-1/4 X+1

Answers

Answer is C
I hop this helpssss :):):)

express -121 in simplest form

Answers

Answer:

An expression is in simplest form when no terms can be combined. To express 3 + (2 × 5) in simplest form: First: perform the operation within parantheses. Next: perform the addition. thank me later

Which of the following relations is not a function?
{(0,0),(1,0),(2,0)}
{(1,2),(3,-5),(-1,7)}
{(7,-1),(3,-2),(5,-2)}
{(-1,3)(4,2),(-1,5)}

Answers

Answer:

the last one

Step-by-step explanation:

because you have two (-1) and that means it is not a function.

Which of the following equations listed below has a radius of 3?

O A) x^2 + y^2 + 12x - 20y+ 132 = 0
-
O B) x^2 + y^2 + 12x - 20y + 55 = 0
-
O C) x^2 + y^2 - 12x+ 20y + 127 = 0
-
O D) x^2 + y^2 – 20x – 16y + 155 = 0

Answers

Answer:

C.

Step-by-step explanation:

WE need to convert the given equations  into the standard form

(x - a)^2 + (y - b)^2 = r^2 where r = the radius.

x^2 + y^2 + 12x - 20y+ 132 = 0

(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132

(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4

giving a radius of 2

x^2 + y^2 + 12x - 20y + 55 = 0

will give a right hand side of -55 + 36 + 100 = 81  giving radius 9.

x^2 + y^2 - 12x+ 20y + 127 = 0

- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.

Answer:

The answer is C I hope this helps

Help me with problem plz

Answers

Answer:

It is SAS (side - angle - side)

Step-by-step explanation:

Both BCA and DCE cross from side then the angle and lastly side.

Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Bentley drives xx miles, and let BB represent the amount Company B would charge if Bentley drives xx miles. Graph each function and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.


Company A is cheaper than Company B when x ___ _ ___

Answers

Answer:

after 41 miles A is cheaper than B

Step-by-step explanation:

not sure if this is what the question is asking for

guys pls help me!!!!!!

Answers

Answer: 100

Step-by-step explanation:

A line equals 180 so subtract 180-80 to get your answer.

Can someone please tell me the answer

Answers

Answer:

36 since they are similer triangles

Longer process:

24/24 = 36/x

solve this and you get 36

In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?

Answers

Given :

In a neutral atom that has an atomic mass of 22 and atomic number of 12.

To Find :-

The number of neutrons .

Solution :-

As we know that,

n(neutrons) + n(protons) = A n(neutrons) + 12 = 2 2n(neutrons) = 22-12n(neutrons) = 10

Hence the required answer is 10.

Answer:

10 neutrons

Step-by-step explanation:

no.of neutrons = atomic mass - Atomic number

no.of neutrons= 22-12

=10

Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?

Answers

Answer:

im think its  24

Step-by-step explanation:

18+6

Answer: The larger angle is about 156.84 degrees.

Explanation:
x = smaller angle
6x + 18 = larger angle

Supplementary angles add up to 180 degrees.

x + 6x + 18 = 180
7x + 18 = 180
7x = 162
x = 23.1429
x = 23.14 degrees

X can be substituted into the other expression to find the larger angle.

6(23.14) + 18
138.84 + 18
156.84 degrees

To check, add the two angles to make sure the sum is 180 degrees.

23.14 + 156.84 = 180
179.98 = 180
^^^ the numbers don’t exactly match because of the rounding I did. the solutions are correct

HELP PLEASE!!!! I REALLY NEED HELP

Answers

Answer:

CDW stocks a broad selection of office furniture, supplies, and accessories from computer stands to cleaning wipes, paper shredders and monitor stands.

Step-by-step explanation:

The sixth-grade classes have 28, 20, 30, and 25 students. What is the mean number of students in a class?

Answers

Answer:

25.75

Step-by-step explanation:

mean=sum of all numbers/number of numbers given

we have 4 numbers given 28,20,30 and 25

mean=28+20+30+25/4

mean=103/4

mean=25.75 :)

classify each pair of angles as alternate interior alternate exterior or corresponding

Answers

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

1) < 5 and < 1 are corresponding angles that lie on the same side of the transversal.

2) < 4 and < 6 are alternate interior angles that do not have a common vertex on alternate sides of the transversal.

3) < 2 and < 7 are (non-adjacent) supplementary angles whose measures add up to 180 degrees.

4) < 3 and < 6 are interior angles that lie on the same side of the transversal.

What is the sum of the 3rd
prime number and the 2nd
square number?

Answers

Step-by-step explanation:

First 3 Prime Numbers are

2 , 3 , 5

Therefore, Sum of the square of these numbers will be

2^2 + 3^2 + 5^2

= 4 + 9 + 25

= 38

Hence the answer is 38

Hello there!

The third prime number is

[tex]5.[/tex]

The second square number is 4. Add them together and get 9 as your answer.

Now, what is a prime number? It's a number that has only 2 factors (1 and itself)

If you multiply a number times itself, you get a square number.

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]Silent Nature[/tex]

PLEASE ANSWER THIS FAST!!!!!!!!!

If you paint all the walls in a room, how many square feet do you need to cover.
The east wall is 3 yds long
The South wall is 10 ft long but has a window that is a 5x3
The west wall is 3 yds long but has a door, 7x3
The north wall has a closet 6.5 ft wide and a small was that is 0.5 feet wide and extends 2 feet into the room.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

1. 300 square feet

LAM 1 Mod 6 Question 4b-s2.

Answers

Answer:

there is one line of symmetry if you look closely at the shape

The Wilsons have triplets and another child who is ten years old. The sum of the ages of their children is 37. How old are the triplets

Answers

Hope this helps have a nice day!!!!

9 years old because u do 37-10= 27 and 27/3= 9

! ! ! Angles ! ! !
(worth ten points)
~
Which of these statements are true?
A.) ΔA is similar to ΔB.
B.) ΔB is similar to ΔC.
C.) ΔA is similar to ΔC.
D.) All three triangles are similar.

Answers

Answer:

A.)

Step-by-step explanation:

a & b are the closest to each other.

Solve the inequality. Graph the solution

Answers

Answer:

1.  y > -3/5 and y < 7/5        Direction to  graph 1 below.

2. r > 1 and r < 13/3              Direction to  graph 2 below

Step-by-step explanation:

|5y - 2| + 5 > 0

Case 1    Positive ||                                 Case 2  Negative ||

5y - 2 + 5 > 0                                       -(5y - 2) + 5 > 0

5y +3 > 0                                             -5y + 2 +5 > 0

5y > -3                                                  -5y + 7 > 0

y .> -3/5                                               -5y > -7

                                                             -y > -7/5

                                                             y < 7/5   y value negative, change sign

The graph 1: open circle at -3/5;  close circle at 7/5; shade between these two numbers.  

2.    |8-3r|< 5

       Case I                                           Case II

8 - 3r < 5                                                   -(8-3r) < 5

-3r < 5 - 8                                                   -8 + 3r < 5

-3r < -3                                                         3r < 5 + 8  

-r < -3/3                                                        3r <  13

r >1       r is negative, change                        r < 13/3

            the direction of the sign

Graph 2: Open circle at 1; open circle at 13/3;  shade between the two numbers.                    

   

(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)

Answers

Answer:

[tex]7.15*10^{-4}[/tex]

Step-by-step explanation:

[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]

If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.

Answers

Answer:

a. <1 and <3

Step-by-step explanation:

Leala can write a 500- word essay in an hour. If she writes an essay in 10 minutes, approximately how many words do you think the essay contains?

Answers

Answer:

about 83

Step-by-step explanation:

describe rule for pattern 10, 30, 90, …

Answers

Answer:

it go by 20 then 30

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Each term is 3 times the previous term, that is

30 = 10 × 3 = 30

90 = 30 × 3 = 90

There is a common ratio between consecutive terms meaning the sequence is geometric.

10 pls pls pls help meeee!

Answers

Answer:

SAS

I THINK CORRECT ME IF IM WRONG

I WILL REPORT LINKS!!!
Please show the steps.
[tex]\left(x^{\frac{1}{6}}y^{\frac{1\:}{3\:}}\right)^{-18}[/tex]

Answers

Answer:

what?

Step-by-step explanation:

Solve for a. -16-7a=5

Answers

Answer:

A = -3

Step-by-step explanation:

-16-7(-3)=5

Use the graph below to find the x- and y - intercepts .

x-intercept : - 6; y - in ; intercept : 9

x-intercept: 1.5 ; y-intercept: 9

x-intercept : 9; y-intercept : - 6

x-intercept: -6; y-intercept: 3

Answers

x-intercept is -6 and the y-intercept is 9

solve for f. f-(-4)=-1

Answers

Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:

WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

Given:

x = 70y = 106

Find: Z to two decimal places

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {z}^{2} = {y}^{2} \\ {70}^{2} + {z}^{2} = {106}^{2} \\ 4900 + {z}^{2} = 11236 \\ {z}^{2} = 11236 - 4900 = 6336 \\ z = \sqrt{6336} = 79.60[/tex]

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