Resuelve usando el método de sustitución o el de eliminación. Para un juego de baloncesto se vendieron 1,850 boletos. Se recaudo un total de $ 8,800. Si los boletos de niños cuestan $ 4 y los de adultos cuestan $ 6. ¿Cuántos boletos de cada clase se vendieron?

Answers

Answer 1

Answer:

Se vendieron 700 boletos para adultos y 1,150 boletos para niños.

Step-by-step explanation:

Primero tenemos que definir dos variables:

x = número de boletos de niños vendidos

y = número de boletos de adultos vendidos.

Entonces podemos escribir la recaudación total como:

x*$4 + y*$6

Y sabemos que la recaudación total fue $8,800, entonces:

x*$4 + y*$6 = $8,800

También sabemos que se vendieron 1,850 boletos, entonces:

x + y = 1,850

Entonces tenemos el sistema de ecuaciones:

x*$4 + y*$6 = $8,800

x + y = 1,850

En este caso podemos utilizar el método de sustitución, para ello primero debemos aislar una de las variables en una de las ecuaciones.

Si aislamos x en la segunda ecuación tenemos:

x = 1,850 - y

Ahora podemos sustituir esto en la otra ecuación para obtener:

(1,850 - y)*$4 + y*$6 = $8,800

Ahora podemos resolver esto para y.

$7,400 - y*$4 + y*$6 = $8,800

y*$2 = $8,800 - $7,400 = $1,400

y = $1,400/$2 = 700

Entonces se vendieron 700 boletos para adultos.

Ahora podemos usar la ecuación x = 1,850 - y para obtener el valor de x.

x = 1,850 - y

x = 1,850 - 700 = 1,150

Se vendieron 1,150 boletos para niños.


Related Questions

Evaluate the exponential expression. 14^2​

Answers

Answer:196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

Brad says 24 ÷ 3 is the same as 3 ÷ 24 because the commutative property works for multiplication, and multiplication and division are related. Cheryl says the order does matter, so 24 ÷ 3 is not the same as 3 ÷ 24. Who do you agree with? Justify your reasoning.

Answers

Answer:

I agree with Cheryl.

24 ÷ 3 = 8

3 ÷ 24 = [tex]\frac{1}{8}[/tex]

Commutative property works for multiplication because when you multiply two numbers, you have repeated addition. No matter which way you add up the numbers, you will get the same result. When you divide, you are breaking up a certain number by a certain number. If they are not the same number, you will get a different result.

Charley's grade in the three quarters are 85, 88, and 92. If she targets to have an average
grade of greater than 90 in the four quarters this school year, what is the least grade she
should have for the fourth quarter?

Answers

Step-by-step explanation:

We can set up an average equation in the form, where x is the last score in the fourth quarter:

[tex]\frac{85 + 88 + 92 + x}{4} = 90[/tex]

[tex]85 + 88+92 + x =360\\\\x = 95[/tex]

She needs at least a 95 on the last quarter to average 90 in all four quarters.

It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

Answers

Answer:

[tex]k=\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]

So, the constant of variation is [tex]\dfrac{5}{4}[/tex].

Which number line represents the solutions to 1-2x1 = 4?
+
4
-10-8-6-4-20
2
6
8
10
f
+ +
-10 -8 -6 -4 -2 0
+
6
+
8
2
4
10
+
O Att
-10-8-6-4-20
+
6
2
4
8
10
+
-10 -8 -6 -4 -2
+
2
+
4
O
6
8.
10

Answers

Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

To learn more on number line click:

brainly.com/question/29162579

#SPJ7

can someone help on Part A and Part B please thanks
(5th grade math)

Answers

Answer: 18 quarts for Part a

9 gallons for part b

Step-by-step explanation:

Answer:

Part A: 18

Part B: 4 1/2

Step-by-step explanation:

Part A:

He needs to triple his recipe by 3, so 12 x 3. So you get 36. The question was how many quarts does he need. So 36 divided by 2 is 18. So 18 quarts is needed!

Part B: We need to find out how many gallons he needs, we already know that he has 18 quart. There are 4 quarts in a gallon. So 18 divided by 4 is 4 1/2.

Good Luck And Hope this helps!

Yours Truely, TheAnimeCatUwU

What is the y-intercept of the graph of y = 2.5*?

Answers

I’m so sorry if I get this wrong but if the equation is y=2.5, than the y intercept is just 0 because it would be mentioned in the equation. For example, if the equation was y=2.5+5, then the answer would be 5


So once again the answer I believe is 0

PLEASE HELP ME ITS MY LAST QUESTION!!

Write three very large numbers and three very small numbers. Now write them using scientific notation. Then
perform one calculation with the numbers.

Answers

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10

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HELP I NEED HELP ASAP

Answers

Answer:

the answer would be A because that makes a straight line.

What is the y-intercept of the line?

A: -2
B: 0
C: 1
D: 1/2

Answers

Answer:

C: 1

this answer is c because the line is one the Y intercept of 1

Erin has $52 to spend at the florist. She wants to buy a vase for $11.75 and several roses for $3.50 each. What are the possible numbers of roses Erin can buy?
____+____ r__52
r __ ____
Erin can buy up to ___ Roses
What properties did you use to solve the inequality?

Answers

Answer:

she can get 11.5 but you have to round down so 11 roses and the vase

Step-by-step explanation:

A health club manager wants to determine whether the members would prefer a new sauna or a new steam room. The club surveys 50 of its 600 members. What is the population of this study? The population is all 50 members of the health club. The population is all 600 and 50 members of the health club. The population is all 600 members of the health club. The population is all 30,000 members of the health club.

Answers

Answer:

The population is all 600 members of the health club

Explanation:

50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.

a. The ratio of pages read by Liam to
pages read by Amir is 1:5. If Liam read
12 pages, how many pages did Amir
read? Explain your reasoning.
ANSWER QUiCK PLZZ NO WEBSITE

Answers

Step-by-step explanation:

For every page that Liam reads, Amir reads five, so if Liam read 12 pages, then Amir read 12 * 5 = 60 pages

If x=1/2 and y=6x, what is the value of 8x/2y

Answers

Answer:

x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3

Step-by-step explanation:

3x

Use substitution
8 (1/2)
———-
2 (6x)

= 4
——-
12x

=1/3x

Someone please help! ​

Answers

Given:

[tex](\sin x)^2+(\cos x)^2=1[/tex]

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We have,

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

Putting this value in the Pythagorean identity, we get

[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]

[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]

[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]

[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]

[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]

Taking square root on both sides, we get

[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]

[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]

The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

would n-3/n+3 cancel out?

Answers

Answer:

Let's work this out.

n - 3 / n + 3

n / n + 6

In order to avoid it cancelling out, we only cancelled out one side.

2n = 6

n = 3

They wouldn’t cancel out you can cancel out the n so there for n= 3

3/4 years equal how many months

Answers

Answer:

9

Step-by-step explanation:

Help brainliest question!!!

Answers

Answer:

The second option

Step-by-step explanation:

Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.

If I have the coordinats (4, 3) and (2, 2) what is distance do we get

Answers

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

can u help me find the surface area for my work

Answers

Answer:

258

Step-by-step explanation:

There is a triangle and a parallelogram.

The triangle's area: 1/2 bh is 30

The parallelogram bh is 12*19

add them up and it is 258.

Can you follow me on Brainly?

Thanks!

Answer:

744; 1,206

Step-by-step explanation:

Prism 1:

2(19*13) + 5*12 + 2(5*19)

Multiply all the sides.

494 + 60 + 190 = 744

Prism 2:

2(20*9) + 2(18*20) + 9*14

360 + 720 + 126 = 1,206

Hope this helps (:

Find the height of a triangle with a base of 6.4 meters and an area of 22.4 square meters

Answers

Answer:

Its height would be 7 meters.

What's the slop and y intercept of 4y = 2x - 12

Answers

Answer:

slope:  [tex]\frac{1}{2}[/tex]

y-intercept: (0,-3)  

Step-by-step explanation:

First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:

[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]

Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].

In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).  

Which of the following lengths can be the sides of a triangle?

A 127 cm, 90 cm, and 32 cm
B 83 cm, 50 cm, and 33 cm
C 44 cm, 30 cm, and 16 cm
D 50 cm, 30 cm, and 19 cm

Answers

Answer:

C. 44 cm, 30cm, and 16 cm

Step-by-step explanation:

Sana nakatulong

Help asap for brianlist

Answers

Answer:

⅔ (option two)

Explanation:

on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.

i hope this helps! :D

PLSSSSS HELP PLS QUICKLY PLS

Answers

Answer:

-64

Step-by-step explanation:

we should put -2 for j and -1 for k,

Answer:

the answer is 64

Help me with these ASAP!!!!!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

4) volume =288

5) 4=r

Step-by-step explanation:

Question 4

volume=length*width*height

volume= 3*8*12

volume=288

question 5

V=pie r^2*h

144pie=pie r^2 *9

144/9=r^2

16=r^2

4=r

Find the circumference of each circle.

Answers

Answer:

AREA = 4π m²÷4 = 12.56 m²

12.56 m² is the circumference

of the circle

9514 1404 393

Answer:

  4π m

Step-by-step explanation:

The area is given by ...

  A = πr²

Then the radius is ...

  r = √(A/π) = √(4π/π) = 2 . . . . meters

The circumference is ...

  C = 2πr

  C = 2π(2 m) = 4π m

The circumference of the circle is 4π meters.

I will mark you brainiest if you can answer this

Answers

Answer:

9 buses

12 cars

(Step-by-step explanation:

x=bus x+y=21 --> y=-x+21

30x+4y=318 --> y= -30x/4 + 318/4

y=car

x= 9

y=12

:) hope this help

The base of a rectangular prism has an area of 18.25 inches² and the height of the prism is 4.5 inches. What is the volume of the prism?​

Answers

Answer:

1498.78125 i used calculator

Step-by-step explanation:

plss help i’ll give brainliest thank you!

Answers

Answer:

D

Step-by-step explanation:

As,

-10 is always greater than -13

Hence, -13 < -10

the last one. with negatives, the lowest is always a larger number because it’s closest to zero.
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