There were 225 tickets sold for the ballgame. Children's' tickets were $1 and adults' tickets were $2. If
the total amount of tickets sold was $400, how many of each type were sold?

Answers

Answer 1

Answer: 175 adult and 50 children

Step-by-step explanation:

1x+2y=400

x+y=225

subtract x

y=225-x

substitute for y in first set

1x+2(225-x)=400

1x+450-2x=400

450-x=400

-x=-50

x=50

substitute for second set

50+y=225

y=175


Related Questions

Enlarge triangle A by scale factor 1.5 with centre (0,2)

Answers

Scale factor 1.5

Let O (0,2)  as the centre of enlargement

A (0, 0)

B (-2, 0)

C (-2, 4)

Step 1:

First draw lines from point O through A, B and C, as shown in the image attached below

Step 2:

Measure the length O A and multiply it by 1.5 to get the distance from O of the image point A';

<=> O A' = 1.5 × O A.

<=> OA' = 1.5 * [tex]\sqrt{2^2}[/tex]

<=> OA' = 1.5*2

<=> OA' = 3

Mark the point A' on the diagram

Step 3:

The images B' and C' can then be marked in a similar way and the enlarged triangle A' B' C' can then be drawn.

OB' = 1.5OB

<=> OB' = 1.5 *[tex]\sqrt{( 2^2+2^2}[/tex]

<=>  OB' = 1.5*2[tex]\sqrt{2}[/tex]

<=> OB' = 3[tex]\sqrt{2[/tex]

OC' = 1.5*[tex]\sqrt{2^2+2^2}[/tex]

<=> OC' = 1.5*2[tex]\sqrt{2[/tex]

<=> OC' = 3[tex]\sqrt{2}[/tex]

learn more of triangle here https://brainly.com/question/16446634

#SPJ9

PLEASE ANSWER FAST

How many times larger is 7 x 10^5 than 2 x 10^3?

Answers

Answer:

698,000

Step-by-step explanation:

7×10^5=700000

2×10^3=2000

700,000-2000=698,000

The given 7 * [tex]10^5[/tex] is 3.5*10² times larger than 2 * 10³.

Given that,

To determine, how many times larger is 7 x 10^5 than 2 x 10^3.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
We have two values, here we have to determine the relationship between the two values.

[tex]ratio = 7*10^5 / 2 * 10^3\\Ratio = 3.5 * 10 ^2[/tex]
Implies,
[tex]7*10^5 = 3.5*10^2 (2 * 10^3)[/tex]

Thus, the given 7 * [tex]10^5[/tex] is 3.5*10² times larger than 2 * 10³.


Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

The circumference is 25 ft I have to find what X is for my radius
R= -4x-5

Answers

The value of x based on the information given about the circumference is 2.24.

How to illustrate the information?

It should be noted that the circumference is calculated as:

= 2πr

where

π = 3.142

r = radius = 4x - 5.

Circumference = 25

Therefore, circumference = 2πr.

(2 × 3.142)(4x - 5) = 25

6.284(4x - 5) = 25.

25.136x - 31.42 = 25

Collect like terms

25.136x = 25 + 31.42

25.136x = 56.42

x = 56.42 / 25.136

x = 2.24

Therefore, the value of x based on the information given about the circumference is 2.24.

Learn more about circumference on:

brainly.com/question/27447563

#SPJ1

Please Help I will give Brainlist !!! Its a Math Problem !! Given that the length of two sides of a triangle are 3 cm and 2 cm, which of the below is the only measure that could possibly be a length of the last unknown side?

Question options:

2 cm

5 cm

6 cm

9 cm

Answers

Answer:

2

Step-by-step explanation:

Triangle side theorem states the sum of the lengths of any two sides of a triangle must be greater than the remaining side

3 + 2 = 5     third side would have to be LESS than 5

            so the only answer is 2 cm

Best painters charges $100 to paint a room and $15 per can of paint used. Top Painters charges $75 to paint a room and $30 per can of paint used. Which equation could be used to find the number of cans of paint (p) for which the cost of the two companies is the same?
a) 45p = 175
b) p(100 + 15) = p(75 + 30)
c) 100p + 15 = 75p + 30
d) 15p + 100 = 30p + 75

Answers

d. 15p + 100 = 30p + 75

What is the equation of the line?
y=-12+1
Oy=2x-1
O y=-2z+1
Oy=-z-1

Answers

Answer:

y = -1/2 x + 1.

Step-by-step explanation:

The slope is -1/2.

The y intercept is at y = 1

So, it's

y = -1/2 x + 1.

Please answer the 2 question in photo [ Brainliest + easy points ]

Answers

1.) The angle in the first picture is a right angle. Right angles are 90° angles, so think of them as 90° right turns (this will help you remember them).

2.) The angle in the second picture is 180.° This is by the definition of a straight line. Think of this like a circle cut into 1/2; a circle is 360,° so 360/2 = 180.

Prove the following inequality.

Answers

The proof of the inequality → (a + b)²/2 ≥ 2ab, is given below -

We have the following inequality -

(a + b)²/2 ≥ 2ab

We have to prove it.

What is inequality ?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

According to the question, we have -

Inequality -

(a + b)²/2 ≥ 2ab

Proof -

Starting from the inequality - (a - b)² ≥ 0

(a - b)² ≥ 0

a² + b² - 2ab ≥ 0

a² + b² - 2ab + 2ab ≥ 2ab

a² + b² ≥ 2ab

Add - 2ab on both sides, we get -

a² + b² + 2ab ≥ 4ab

(a + b)² ≥ 4ab

Divide both sides by 2, we get -

(a + b)²/2 ≥ 2ab

Hence Proved.

To solve more questions on Proving inequalities, visit the link below-

https://brainly.com/question/13260153

#SPJ1

The price of a watch was increased by 20% to £162.
What was the price before the increase?

Answers

Answer:

120% = 162

10% = 13.5

100% = 135

so it's £135

hope this works :)

which two cards show reflection, rotation, or translation?

Answers

Answer:

1 & 4

Step-by-step explanation:

because 3 & 5 is a reflection, 2 & 6 is a translation.

A parallelogram has an AREA of 7 square units. If the height that corresponds to a base is 14 units, what is the base?

Answers

Answer:

b = 0.5

Step-by-step explanation:

a = b x h

7 = 14b  Divide both sides by 14

0.5 = b

find the indicated value for the given function. f(4) =|2x-7|

Answers

Answer: 1

I did this problem a couple times and got 1 every time

write an equation of the line . through (1,-2);parallel to 2x=3y+4

Answers

Answer:

y = 2/3x - 8/3

or 2x = 3y + 8

Step-by-step explanation:

2x = 3y + 4

3y = 2x - 4

y = 2/3x - 4/3

If two lines are parallel, their slopes are equal

if m = 2/3, y = -2, x = 1

y = mx + b

-2 = 2/3(1) + b

-2 = 2/3 + b

b = -2 - 2/3 = -8/3

y = 2/3x - 8/3

or 3y = 2x - 8

or 2x = 3y + 8

russell runs 9/10 miles in 5 minutes. at this rate how many miles can he run in one minute

Answers

Answer:

I´m pretty sure it is 1.8 miles

Step-by-step explanation:

The measure of an angle is 56.3°. What is the measure of its complementary angle?

Answers

Answer:

33.7

Step-by-step explanation:

Complementary angles are angles that when added, sum up to 90*

First, make the equation, x being the missing angle
90*= x + 56.3

Rewrite the equation to find the missing angle
90 - 56.3 = x

x= 33.7

Answer:33.7°

Step-by-step explanation:

To find the complement of an angle, subtract that angle's measurement from 90 degrees. The result will be the complement

90° - 56.3°

=33.7°

find f(-2)
i need help

Answers

Answer:

f(-2) = -1

Step-by-step explanation:

wwwwwwwwwwww

Answer: f(-2) = 5

Step-by-step explanation: In this piecewise function, when x is less than -1, the equation is -3x-1. -2 is less than -1 so we use the first equation. -3(-2)-1= 6-1 = 5.

Which graph shows the function f(x) = x with an input of f ?

A coordinate plane with a line passing through (negative 4, negative 1), (negative 3, 0), and (0, 3).

A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).

A coordinate plane with a line passing through (negative 1, negative 3), (0, 0), and (1, 3).

A coordinate plane with a line passing through (negative 3, negative 2), (0, 0), and (3, 1).

Answers

Using translation concepts, the graph that shows that function f(x) = x with an input of f(x - 3) is given by:

A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).

What is the missing information?

The input of the function, of f(x - 3), is missing.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the function is:

f(x) = x.

The translation is in the input, f(x - 3), meaning that the function is shifted 3 units right and defined by:

f(x - 3) = x - 3.

Hence three points on the graph are:

x = -2, f(x) = -5.x = 0, f(x) = -3.x = 3, f(x) = 0.

Hence the correct description is:

A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

D

Step-by-step explanation:

if angle 2 equals (2x+5)degrees and angle 3 equals 85degrees, what is the value of x

Answers

Based on the information given, the value of x is 40 degrees

What are corresponding angles?

Corresponding angles are defined as any pair of angles which on the same side of one or two lines, there is a  cut through by a transversal.

It is also important to note that when a transversal intersects two parallel lines, the corresponding angles of the lines would be equal.

Given the angles;

Angle 2 equals (2x+5) degrees Angle 3 equals 85 degrees

We have that;

Angle 2 = Angle 3

Substitute the values

2x + 5 = 85

collect like terms

2x = 85 - 5

2x = 80

Make 'x' the subject by dividing both sides by 2

2x/ 2 = 80/ 2

x = 40 degrees

Thus, the value of x is 40 degrees

Learn more about corresponding angles here:

https://brainly.com/question/2009183

#SPJ1

10. Two of the greatest rainfalls ever recorded were on, July 4, 1956.
In Unionville, Maryland it rained 1.23 in. in 1 min. In Curtea-de-
Arges, Romania on July 7, 1889 it rained 8.1 in. in 20 min. If it
had rained for 20 min in Unionville at its same record pace, what
would be the difference between the two rainfall amounts?

Answers

Answer:

The difference would be Unionville would have had 24.6 in. of rain and Arges only had 8.1 in

Step-by-step explanation:

Find the measure of ∠ b ?

Answers

Answer:

38 degrees

Step-by-step explanation:

Angle 38 and b are the same.

tim has 74 socks, that are white or black. he has 1 more pair of white socks than black socks. how many individual socks of each color does he have?

Answers

Tim owns 74 socks, the colours of which are unknown.

He does, however, have an additional pair that is white rather than black.

Therefore, it suggests that we are working with the two hues white and black.

The result of dividing the total number of socks by two is:

= 74/2

= 37 socks, two pairs each for black and white.

But let's not forget that Tim has a pair of white socks in addition to his black pair.

The total number of white socks is equal to= 37+1= 38 socks.

Total black sock pairs= 37-1=36 socks.

Last but not least, the question asks us to count the number of single socks rather than pairs.

For white then:

There will be = (38x 2) socks per pair.

= 76 socks

For Black

The individual socks will be = (36 × 2)socks

= 72 socks

We can then deduce that there are 76 individual socks for white and 72 individual socks for black.

How many pairs of socks must you take to find a matching pair?

The solution would have to be four. Despite the large number of socks in the drawer, there are only three different colours, so if you take four socks, you will undoubtedly find at least one pair that matches.

To learn more about pair of socks visit:

https://brainly.com/question/15162655

#SPJ4

Find the reciprocal of -1 1/17

Answers

Answer:

17/-11

Step-by-step explanation:

why,because reciprocal in mathematics means changing the numerator to the denominator and denominator to numerator.

HOPE THIS HELPS

solve the inequality |x +4|-4>0

Answers

The inequality form of the given expression is:

x < -8 or x > 0

The interval notation is : (−∞,−8)∪(0,∞)

Given, the expression is |x + 4| - 4 > 0

An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.

Isolate the variable by dividing each side by factors that don't contain the variable.

⇒  |x + 4| - 4 > 0

⇒  |x + 4|  > -4

Remove mod.

⇒ x + 4 > -4 or  x - 4 > -4

⇒ x > -4 -4 or x > -4 +4

⇒ x <-8 or x > 0

Hence the internal notation is :

(−∞,−8)∪(0,∞)

The required graph is plotted.

Learn more about Inequality here:

brainly.com/question/25275758

#SPJ9

Let g(x) = {2x + 4 if x < −1, x + 4 if x ≥ −1.
Find the value of g^-1(-1)

Answers

The inverse of a function when x = -1 is g^-1(-1) = -5/2

Inverse of a function

Linear functions are function that has a leading degree of 1. Given the expression below;

g(x) = 2x + 4

Determine the inverse

y = 2x + 4

Replace y with x

x = 2y + 4

Make y the subject of the formula

2y = x - 4

y = (x-4)/2

g^-1(x) = (x-4)/2

Substitute x = -1 into the equation

g^-1(x) = (-1-4)/2

g^-1(-1) = -5/2

Hence the inverse of a function when x = -1 is g^-1(-1) = -5/2

Learn more on inverse of a function here: https://brainly.com/question/3831584

#SPJ1

How many significant digits are in the given measurement:

6040.0050 m

7

0

8

4

Answers

Answer:

8 significant digits

Step-by-step explanation:

Let's count

6040.0050

⬇ ⬇⬇⬇.⬇ ⬇⬇ ⬇

1 234 567 8

therefore it's 8 significant figures

which expression shows the prime factorization of 36? 2 × 2 × 3 2 × 2 × 3 2 × 3 × 3 2 × 3 × 3 2 × 2 × 2 × 3 × 3 2 × 2 × 2 × 3 × 3 2 × 2 × 3 × 3

Answers

Answer:

36 = 2 x 2 x 3 x 3

Answer:

2 2/3 * 2 2/3 = 64/9 = 7 1/9 ≅ 7.1111111

Step-by-step explanation:

The result:

2 2/3 * 2 2/3 = 64/

9

= 7 1/

9

≅ 7.1111111

Spelled result in words is sixty-four ninths (or seven and one ninth).

How do we solve fractions step by step?

Conversion a mixed number 2 2/

3

to a improper fraction: 2 2/3 = 2 2/

3

= 2 · 3 + 2/

3

= 6 + 2/

3

= 8/

3

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Multiple: 8/

3

* 8/

3

= 8 · 8/

3 · 3

= 64/

9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(64, 9) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight thirds multiplied by eight thirds is sixty-four ninths.

HOPE THIS HELPS!

I Did It On Another Website And Had To Re-Write It So If You Don't Understand It LMK!

[Thanks] Are Appreciated!

[High Rates] Are Also Really Appriciated

Have A Nice Day!

Given negative four and one sixth times negative three and fifteen hundredths, determine the product.

Answers

The resulting product of the expression is 13 1/8

Product of fractions

Fractions are written as a ratio of two integers

Given the following expression

-4 1/6 * -3 15/100

Convert to improper fraction to have:

-25/6 * -315/100

-1/6 * -315/4

315/24

13 1/8

Hence the resulting product of the expression is 13 1/8

Learn more on product of expression here: https://brainly.com/question/4344214

#SPJ1

Please answer this math equation.

Answers

The table that represents the linear function is table (B)

How to determine the linear function?

As a general rule, a linear function is any function that has a constant rate of change

This means that as the function independent value changes by a constant, the function dependent value changes by a constant

In other words, as the function x value changes by a constant, the function y value changes by a constant

Using the above as a guide, we can see the table B represents a linear function

This is so because, as x increases by 3, the y value decrease by -2

Hence, the table that represents the linear function is table (B)

Read more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

during math class, you find the length of a right triangle's hypotenuse with a theorem created long ago. who do you have to thank for that theorem?

Answers

The length of a right triangle's hypotenuse with a theorem created long ago is c² = a² + b², where 'c' = the hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

We need to find the length of a right triangle's hypotenuse with a theorem created long ago.

What is a Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

The Pythagoras theorem equation is expressed as, c² = a² + b², where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Therefore, the length of a right triangle's hypotenuse with a theorem created long ago is c² = a² + b², where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

To learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682.

#SPJ4

if i drop a watermelon from the top of a water tower, and it takes 3.34 seconds to hit the ground, calculate how tall the tower is in meters.

Answers

The height of the water tower is found to be 54.66 meters.

What is acceleration due to gravity?

A free-falling object is one that is falling solely due to gravity.

Some key features regarding the acceleration due to gravity are-

A free-falling component has a downward acceleration of 9.8 m/s/s (on Earth). This magnitude for the acceleration of a free-falling object is so significant that it has its own name. The acceleration of gravity is the acceleration of any object moving solely under the influence of gravity. In fact, the acceleration of gravity is so important quantity that scientists have a special symbol to represent it - the symbol g. The most precise numerical value for gravity's acceleration is 9.8 m/s/s.

Now, according to the question;

It takes a watermelon 3.34 sec to reach the ground.

Use the equation of motion in straight line.

D  =  (1/2) x (gravity) x (time)²

D is the height of the water tower.

    =  (1/2) x (9.8 m/s²) x (3.34 sec)²

   =   (4.9 m/s²)  x  (11.16 sec²)

D = 54.66 meters.

Thus, the height of the water tower is estimated as 54.66 meters.

To know more about acceleration due to gravity, here

https://brainly.com/question/88039

#SPJ4

Other Questions
68=3(6r-1)-7(1-3r) please help i need directions how not just an answer accomplishments that prepare a graduate student for an advanced nursing role (minimum of three items): como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes what is the best conclusion based on this data? the hypothesis was not supported because the data indicated that fertilizing plants does not improve plant growth. the hypothesis was supported; to get the best growth, use 5 milliliters of fertilizer per plant. the hypothesis was not supported; the data indicated that too much fertilizer can inhibit plant growth. the hypothesis was supported; to get the best growth, use 15 milliliters of fertilizer per plant. The function f(x)=x^2 times the graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)? agatha helped her client rufus complete the form that documents rufuss purchase offer to the seller for the property he'd like to buy. what is this form? 14 points :) please explain thank you so much! Find the distance between the two points shown on the graph below, located at (1, 2) and (3, 1). PLEASE ANSWERING THIS QUESTION QUICKLY!When f(x)=9x^2-x-2, evaluate f(-3)f(-3)= (blank)Explain your answer!Show your work!Do not spam answers!No nonsense answers!No incorrect answers!Thanks! How do I write -2=y into slope intercept form? melissa drew a scale drawing of a city. a neighborhood park is 36 inches wide in the drawing. the actual park is 60 yards wide. what is the scale of the drawing? find values for x so that the perimeter of the figure is less than 100 meters Express 60 as the product of its prime factorsWrite the factors in as ascending order and give your answer in index form A scientist monitors the reaction between two gases in a closed container. What would happen to the rate of the reaction if the scientist increases the temperature in the container? The rate would increase because higher temperature would increase the number of collisions.The rate would decrease because the particles are unable to achieve the correct orientation.The rate would decrease because the space available for the reactions would decrease.The rate would increase because the average speed of the reactant particles would decrease. `y=2x^{2}+12x+20` find the vertex Question 2Which of the following would be the best type of chart is used to focus attention on any variation in a process andhelps to determine whether the variation is normal or a result of special circumstances?O Pie chartrun chartO histogramO Pareto chartQuestion 32 pts42 pts Which hook effectively introduces an essay with this general information and thesis statement?General information: Despite not being known as rescue animals and usually without formal training, birds have been known to vocally intervene when critical medical help is needed.Thesis: Domestic birds can help their owners in life-threatening situations. If you had to choose, would you say that you like birds, cats, or dogs more? A pet bird can have over 2,000 words in its vocabulary, and sometimes those words save lives. In this essay I will tell you about pet birds that have proven to be big helpers. Joe Goodwing, a bird expert, says that birds are unlikely heroes. FIRST PERSON GETS BRAINLIESTA triangle on a coordinate plane is translated according to the rule T8, 4(x, y). Which is another way to write this rule?(x, y) (x + 4, y 8)(x, y) (x 4, y 8)(x, y) (x 8, y + 4)(x, y) (x + 8, y 4) PLEASE HELP ILL MARK YOU BRAINLIST Figure 2 shows 4 strips of paper formed from cutting ABCD. Figure 1 below shows a piece of rectangular paper ABCD where AB= (3x - 1) cm and BC= The total perimeter of the 4 strips is 170 cm. D C (b) Hence show that ABCD is a square. 2x+5 B 3x-1 Figure 1 (a) Form an algebraic equation in x and solve it. D 2x 326-1 Figure 2 C 2x75 = (2x + 5) cm. B