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

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
The amount of calories in a cheeseburger increases by 121 for every one gram of fat. The calorie amount estimated by this model is 1.42 if there are zero grams of fat.
The amount of fat in a cheeseburger increases by 121 grams for every one calorie.
The fat amount estimated by this model is 1.42 grams if there are zero calories.
The amount of fat in a cheeseburger increases by 1.42 grams for every one calorie.
The fat amount estimated by this model is 121 grams if there are zero calories.
The amount of calories in a cheeseburger increases by 1.42 when there are zero grams of fat.
The calorie amount estimated by this model is 121 if there is one gram of fat.

Answers

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.The response variable calories is the output.

The equation is:

[tex]y = 121 + 1.42x[/tex]

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at https://brainly.com/question/16302622

find the value of x using the triangle

Answers

X=13 is the awnser for this

Answer:

x=13

Step-by-step explanation:

See attached image. If you have any questions, let me know!

ABE is a triangle. Can you use the SSS Postulate or the SAS Postulate to prove ABC = AED

both apply

neither apply

by SSS only

by SAS only

Answers

Answer:

by SAS only

Step-by-step explanation:

46.6 is what percent of 67?

Answers

Answer:

46.6 is 69.5522% of 67

Step-by-step explanation:

brainliest plz

Evaluate the expression x-7, if x= 12. 19 6 05. (please help :( )​

Answers

Answer:

the answer is 5...............

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]\sf x-7[/tex]

[tex]\sf x=12[/tex]

→ [tex]\sf (12)-7[/tex]

→ [tex]\sf 5[/tex]

I HAVE MORE PLS HELP IT’S DUE TOMORROW

Answers

Answer 1:

[tex]y = \frac{9}{5} - \frac{6x}{5}[/tex]

Answer 2:

[tex]y = 3 - \frac{8(x+7)}{7}[/tex]

Note:

User stated an explanation was not needed.

Write a quadratic function [tex]f[/tex] whose only zero is 12.

Answers

Answer:

f(x) = (x - 12)²

Step-by-step explanation:

If a quadratic function has only one zero, then it has multiplicity of two as it is a second degree polynomial and should have two roots. Since one root is a real number, the second root is also a real number being same as the first number.

The function could be:

f(x) = (x - 12)²

We know the rule for single zero of quadratic equations

[tex]\\ \sf\longmapsto g(x)=(x-n)^2[/tex]

[tex]\\ \sf\longmapsto g(x)=(x-12)^2[/tex]

Done

What expression is equivalent to 4 to the power of 4 times 4 to the power of -9

Answers

4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)

The square root of the sum of 69 and 31 is an/a_____?
A.Rational Number
B.Irrational Number
C.Both rational and irrational
D.Neither rational nor irrational​

Answers

Answer:

A. Rational number

Step-by-step explanation:

If you add both 69 and 31 it will give you 100. The square root of 100 is 10 and therefore it is a rational number

7) The sum of the angle measures of a
quadrilateral is 360°. Find the value of x.
24
2

Answers

Answer:

x=120°

Step-by-step explanation:

X+X+1/2X+1/2X=360

combine all like variables

X+X=2X

1/2X+1/2X=X

2X+X=3X

3X=360

isolate x by dividing both sides by 3

360÷3=120

X=120

solve please i need this fast

Answers

Answer:

Step-by-step explanation:

b)

Find the value of X. Round the length to the nearest tenth.
A. 9.0 yd
B. 31.2 yd
C. 10.4 yd
D. 15.6 yd

Answers

Answer:

C. 10.4 yd

Cause why not?

Which of these is NOT discrete data:
A. toppings on a pizza
B. boys in a family
C. temperature outside
D. planks in a deck

Answers

Answer:

C. temperature outside

Step-by-step explanation:

Discrete data is information that can only take certain values. ... This type of data is often represented using tally charts, bar charts or pie charts. Continuous data is data that can take any value. Height, weight, *TEMPERATURE* and length are all examples of CONTINUOUS data. = not discrete data

I believe, hope it is correct

Choose the ordered pair for point L.

Please help!! If you can, thanks so much :))

Answers

Answer:

The answer to the question is (2,-3).

pleases help me! with my math hw!!! please do 2-26 evens only!!!! thx!! will give brainliest and extra points!!

Answers

I can’t read some of the questions but I got some.
4. 8*12=96 eggs
5. D
6. 190mm
7. 1/6 of a circle is shaded so 16.67%
8. 290
9. 500+2=502
10. 4700=(4*10^3)+(7*10^3)
23. 1240+186=1426
25. time would be 11:59 pm

. Given g(x) = -x2 + 10x - 3, find the following. explain it pls pls​

Answers

Answer:

The value of g(x) at x=-3 is -42

That is g(-3)=-42

Step-by-step explanation:

Given that the function g is defined by

To find the value of g(-3) :

That is to find the value of g(x) at x=-3 :

Put x=-3 in the above function we get

Therefore g(-3)=-42

The value of g(x) at x=-3 is -42

That is g(-3)=-42

Please tell me the answer by process​

Answers

Answer:

1680/10= 168

168/2= 84

84 is the answer

Step-by-step explanation:

1680/10 bc u have to get rid of the volume height and that leaves two bases

168/2 bc u only need one side NOT two bc of the book covers one base not two

Can you pls help me??

Answers

Answer:

[tex] \sqrt{10} [/tex]

Step-by-step explanation:

use

a^2 +b^2=c^2

c² = a² + b²

c² = 3² + 1²

c² = 9 + 1

c² = 10

c = √10

easy one - giving brainly if correct!​

Answers

Answer:

option 4 is the right answer

Answer:

The last option is right

Express the inequality using interval notation. PLEASE HELP DUE TONIGHT WILL GIVE BRAINLIEST

Answers

Answer:

Convert the inequality to interval notation.

(-∞, 0) ∪ (7, ∞)

1. How much simple interest is earned on $3,000 in 9 years at an interest rate of
4.5%?


Can anyone help please? This is due tomorrow and I don’t understand this

Answers

Answer:

I = $1,215

Step-by-step explanation:

Principal (P ) = $3,000

interest rate (R ) = 4.5% or 0.045

time (in years) ( t )= 9

Use the simple interest formula:

I = P × r × t

I = $3,000 × 0.045 × 9

I = $1,215  

Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.

Determine the equation of the line.

Answers

Answer:

y = 5x -10

Step-by-step explanation:

The y-intercept is -10, as in, the line on the y-axis is at -10

The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:

y = 5/1x - 10

The sum of a number and seven more than the number is 43. What is the number?

Answers

Answer:

18 is the number good luck

Step-by-step explanation:

18+25=43

Answer:

18,25

Step-by-step explanation:

What is the equation of the line that passes through the point (-8,-7) and has a slope of 1?

Answers

Answer:

y = x + 1

Step-by-step explanation:

May I please receive help?

Answers

Answer:

The answer is in the included image

which expression is equivalent to the given expression after using the distributive property? 9 + 5 + 7x² + 3x²y + 2x²​

Answers

Answer:

9 and 5 I guess enjoy.

.

Step-by-step explanation:

and yeah no explanation

what is the sum of 3/4 and 4/5?​

Answers

Answer:

your answer is 1.5

Step-by-step explanation:

3/4 simpified is 0.75 + 4/5 simplied is 0.8

0.75+0.8=1.5

What is the LCD of - and -? 15 x 8 n 15 nx 75 x

Answers

Answer:

Answer 1

Step-by-step explanation:

Since 5 goes into 15x then 15x is the LCD, answer 1.

Find h. h - 6 = 5
(A) 5
(B) -1
(C)11 (D)6

Answers

Answer: C

h-6=5
first add 6 to both sides and you’ll get h=11

Answer:

C

Step-by-step explanation:

Which measurement is equal to 24 kilograms

Answers

Answer:

24000 grams

Hard to explain. Hope this helped! Please give brainliest.

Answer:

yep

Step-by-step explanation:

Other Questions
What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?PLS SHOW WORK what makes american law enforcement differ from law enforcement agencies around the world Prime numbers have, less than two factors, more than two factors, exactly two factors, less than or equal to two factors. Why 3 different names for tropical storms? solve the inequality 2x + 3 < 7A. x < 2B. x > -2C. x < -2D. x > 2 Arrange in the correct order of occurrence. Write 1 5 for each statement.___ Magma cools and sinks.___ Rocks are heated and melt.___ Magma expands and rises at divergent boundaries.___ Some magma move sideways in opposite directions.___ Subduction in convergent boundaries make plates to reach the mantle Cadona rota Gary SotoVocabulario esancial1. Escribe en los espacios en blanco el personaje que mejor corresponde a cada unade las descripciones.Personajes: Alfonso, Ernesto, Sandra, la madre de Alfonso, el padre de Alfonso1. Admira al guerrero azteca en el calendario que est colgadoen La Plaza.2. Alfonso le pregunta si pueden ponerle frenos y esta personale dice que no.3. Cuando vio a Alfonso con el pelo mochado, pens que algole haba pasado.4. Lleva una cola de caballo y tiene los dientes derechos.COLECCIN 2 L5. Le quit la cadena a la bici para limpiarla del aceite terroso.6. Es un egosta por no prestarle su bici. simplify (3 ^-2)^4This would help so much, i have to finish this 200 point exam by tonight. THANK YOU IF YOU HELP Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?A) 20B) 12C) 14D) 15 ~ Who has the power to run the plantations? 9. The repair order is a legal document becausePeople say its either B or C, Im not sure.Give me the correct answer and youll get brainliest!!! submarine titan descended 93 meters into the ocean to look for fish. Submarine Odyssey descended 3 times as deep. What is Odyssey's depth below sea level in meters? identify two ways lean production might be achieved which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure? 900 1000000 Plsssssss helpppppppp Las frases publicitarias emplean logotipos e imgenes para que how to do estimate 81=25+8x Antonia is using the calculator shown to find the value of 1,035 6. What key on the calculator should she press after clearing the calculator?1+/C/