The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 2,900 people entered the park, and the
admission fees that were collected totaled $6,100. How many children and how many adults were admitted?

Answers

Answer 1

Step-by-step explanation:

x= children

y= adult

First equation: x+y= 2900

Second equation: 1.50x + 4y= 6100

From first equation: x+y= 2900

x= 2900-y, becomes the third equation

Second equation: 1.50(2900-y) + 4y= 6100

4350-1.50y+ 4y= 6100

2.5y = 1750

y= 700

700 adults

Thrid equation: x= 2900-700

= 2200

2200 children

So total have 700 adults and 2200 children

Hope this help you!


Related Questions

The difference between Lily's age and twice Kenny's age is 6 years. Lily is older than Kenny. Let x represent Lily's age and y represent Kenny's age.

What is the equation?​

Answers

6+6=12that is the equation

If x represents Lily's age and y represents Kenny's age. The equation representing the given condition is x-2y=6.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given that, there are 6 years between Lily and Kenny, who are twice her age. Kenny is younger than Lily. Let x and y stand in for Lily's and Kenny's ages, respectively.

Let x represent Lily's age and y represent Kenny's age.

If the difference between Lily's age and twice Kenny's age is 6 years.

x-2y=6

If Lily is older than Kenny.

x>y

Thus, if x represents Lily's age and y represent Kenny's age. The equation representing the given condition is x-2y=6.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Which is larger, 3/10 or 0.25?

A.3/10

B.0.25

C.They are equal.​

Answers

Answer:

A. 3/10

Step-by-step explanation:

0.25 = 2.5/10

2.5/10 < 3/10

Answer:

It is 3/10 because it doesn't need approximation to give 0.3

HURRY I NEED HELP
I JUST NEED TO KNOW HOW TO DO THIS PLEASE
ILL GIVE 5 STARS AND STUFF PLS

Answers

Answer:

On the left, it would be + 1 for each blank, and on the right it would also be +1 for each blank.

Step-by-step explanation:

They are asking for the intervals between each number.

Hope this helps!

Which of the following correctly indicates whether a triangle can have sides with lengths 3.5, 5.3, and 16.5, and also provides the correct explanation?


A) Yes; 16.5 + 5.3 is greater than 3.5.
B) No; 3.5 + 16.5 is greater than 5.3.
C) Yes; 3.5 + 5.3 is greater than 16.5.
D) No; 3.5 + 5.3 is less than 16.5.

Answers

Answer:

D) No; 3.5 + 5.3 is less than 16.5.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

How do you explain a diameter of 0.00085 inches using scientific notation

Answers

Answer:

8.5 [tex]E^{-4}[/tex] inches

Step-by-step explanation:

        Scientific scientific notation  is where the super small / super large number is multiplied by a 10 (E) to the power of a number. Here, the number is smaller than 8.5 so our power must be negative. As we are making it four "places" bigger, we use the exponent of -4.

Hope this helps, have a nice day! :D

Line QS is a perpendicular bisector to triangle PQR as pictured below.

What is the length of the value of x?

I need an answer ASAP​

Answers

Answer:

3

Step-by-step explanation:

Side QP is equal to side QR so 4x-2=10, then just solve for x and you get 3

Answer:

x=3

Step-by-step explanation:

the trangal is isosoles so both sides need to equal 10 so the equation would be 4x-2=10.

frist you would add both sides by 2

4x-2=10

    +2 +2

4x=12

then you would divide both sides by 4

4x/4=12/4

so your anser should be x=3

Which of the following is the domain of the graph below?

Answers

Answer:

That answer is correct

Step-by-step explanation:

all of the other ones have errors in them, the domain is every dot above below or on the x-axis.

Find the values of a,b, and c for...

Answers

Answer:

a = 1

b = 6

c = 9

Step-by-step explanation:

The formula for a quadratic equation is y = ax^2 + bx + c

Using this, we can plug in the letter values into the given equation and find the values for a, b, and c.

Use rounding to estimate the product.8 × 9.82

Answers

Answer:

8 * 9.82 ≈ 8 * 10 = 80

Step-by-step explanation:

9.82 ≈ 10

8 * 10 = 80

y = 8x + 10

y = 2

whats the substitution ?

Answers

Answer:

Look at the explanation.

I'll be online so let me know if you still need help.

Step-by-step explanation.

A system of equations is basically two or more equations that rely on each other. If a solution for a variable is 2, it has to work for the other equation.

The substitution is basically plugging in the y value to y = 8x + 10

If y = 2

and also y = 8x + 10

What do you think the substitution is?

What is the general form of the equation of the line shown?
y
2 x-y+ 3 = 0
2 X-Y-3 = 0
ox-2y-3=0

Answers

Answer:

Sorry for late response, but I believe it may be 2x - y - 3 = 0.

Step-by-step explanation:

The general form of the equation of the line shown is,

⇒ y = - x + 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 1) and (0, 3).

Now,

Since, The equation of line passes through the points (2, 1) and (0, 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 1)) / (0 - 2)

m = 2 / - 2

m = - 1

Thus, The equation of line with slope - 1  is,

⇒ y - 1 = - 1 (x - 2)

⇒ y - 1 = - x + 2

⇒ y = - x + 2 + 1

⇒ y = - x + 3

Therefore, The general form of the equation of the line shown is,

⇒ y = - x + 3

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Helpppppppppppppppppppp

Answers

Answer:  1/3

Step-by-step explanation: From what I can see, when y is 1, x is 3. slope is y2-y1/x2-x1

The pairs are (0,0) and (3,1). 1-0 is 1 and 3-0 is 3. Therefore the slope is 1/3

To make a certain shade of blue-green paint, 3 parts of blue paint must be used for every 1 part of yellow paint. How many quarts of blue paint need to be added to 3 quarts of yellow paint to make the paint this shade of blue-green?

Answers

Answer:

9

Step-by-step explanation:

3 x 3 = 9

Cells Are Us charges $5 per month and $1.50 per minute on their prepaid plan. The total cost for a cell bill can be represented by the equation C = 1.5m + 5, where m represents the number of minutes and C represents the cost, in dollars. Call Time charges $15 per month and $0.50 per minute on their prepaid plan. The total cost for a cell bill can be represented by the equation C = 0.5m + 15, where m represents the number of minutes and C represents the cost, in dollars. 1 At how many minutes do the two companies charge the same amount?

Answers

Answer:

10 minutes

Step-by-step explanation:

You set the two equations to be equal. You will get an equation in the unknown m that gives the time needed

[tex]1.5m+5 = 0.5m+15 \rightarrow 1.0m = 10 m=10[/tex].

Takes 10 minutes for the two companies to be as expensive.

Ashton had $60 to take shopping with her. She bought a dress for $16.50, a pair of shoes for $12.25, and 3 head bands for $2.25 each. She paid a 6% sales tax on all of the items she bought. How much money did Ashton have left?

Answers

Answer:

$22.37

Step-by-step explanation:

[Total Cost] 16.5 + 12.25 + (3)2.25 = $35.50

[Sales Tax] 6% -> 0.06

                  35.5 * 0.06 = 2.13

                  35.5 + 2.13 = $37.63

[Money Left] 60 - 37.63 = $22.37

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

24

Step-by-step explanation:

u di

Rosa can run 4 miles in 56 minutes. How many kilometers does Rosa run if she runs for 42 minutes?

Answers

Answer:

First, let’s use what we know to determine how many miles Rosa can run in a minute.

We do so by dividing 4 by 56 (4/56), which equals .071, after rounding.

So, Rosa runs .071 miles in a minute. Now we multiply this by 42 to get our final answer.

42 x .071 = 2.98. Using rounding, we know that Rosa can run 3 miles in 42 minutes.

Step-by-step explanation:

Got this from the internet.

help please and thanks

Answers

Answer:

NUMBER $450

Step-by-step explanation:

HOPE IT'S HELP

I JUST NEED THE PERIMETER PLEASE HELP ITS DUE IN 10 MINUTES

Answers

18x is the perimeter

Answer:

18x

Step-by-step explanation:

Collect like terms.

2((5x+4x)+(4-4))

Simplify (5x+4x)+(4−4) to 9x.

2×9x

Simplify.

18x

what are TWO equivalent fractions for 2/3 ?

Answers

Answer:

2/3, 4/6, 6/9

Step-by-step explanation:

Just multiply the denominator and the numerator by any number and it will be equivalent.

Hoped this helped.

Answer:

4/6 and 6/9 are two equivalent fractions for 2/3

Write an equation for the line described in standard form. through (0,3) slope = 3

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

y = 3x + b

3 = 3(0) + b

3 = 0 + b

3 = b

What is the slope?
Graphing

Answers

Answer:

i chose two points on the line and i got 5/1 (by using the rise over run method) which is simplified to 5 so the slope is going to be m= 5

Step-by-step explanation:

7. Write an equation for the line in slope-
intercept form.

Answers

Answer:y=-1/2x-3

Step-by-step explanation:

write an equation in slope-intercept form of the line shown (1,-9) , (-3,-9)

Answers

Answer:

y = -9

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-9) / -3 - 1

0 / -4

y = 0 + b

-9 = b

Answer:

[tex]\boxed{\sf{y=-9}}[/tex]

Step-by-step explanation:

The slope-intercept form is the only way to solve this problem.

Slope-intercept form:

[tex]\rightarrow \sf{y=mx+b}[/tex]

The m represents the slope.The b represents the y-intercept.

Using the slope is another way to solve.

(1,-9) and (-3,-9)

Use a slope formula.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

y2= (-9)

y1= (-9)

x2= (-3)

x1= (1)

Rewrite the problem.

[tex]\sf{\dfrac{(-9)-(-9)}{(-3)-1}=\dfrac{0}{-4}=\boxed{\sf{0} }[/tex]

Therefore, the slope is 0.

We're not done yet.

y-intercept= (-9).

The m represents is 0.

The b represents is (-9).

So, the correct answer is y=-9.

I hope this helps you! Let me know if my answer is wrong or not.

Can you please right out all the steps I need to do!!!! I WILL GIVE BRAINLIST I NEED HELP ASAP(ALSO GIVING 35 POINTS)
(don't just press answer for the points and not give an answer please I really need help and I wouldn't do that to any of yall)

Answers

Answer:

ADE = 63°

Step-by-step explanation:

One thing at a time. We can start telling that triangle ADE is isosceles, of baseAD. Means the two angles EAD e ADE are congruent, and each measures  [tex]\frac {180-54}2 = 63°[/tex].

Now look at angles EDA and ECB. They are corresponding angles relative to the parallels DA and CB, so they are congruent. Measure of angle C is the same of measure of angle ADE = 63°

Edit: I've been asked for the rest of the measures. Purple ones are the one you find during the exercize. Red ones are the remaining. External ADC is supplementary to ADC (it's an external angle) angle BAD is alternate to ADE respect to the two parallels AB and CE, so they are congruent. Angle ABC is supplementary to angle BCD since they're internal conjugate relative to the same two parallels.

The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.
The answer will be less than $300 because 100 is less than 480.
The answer will be greater than $300 because 480 is greater than 100.
(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.
480 + 300 is the amount of money that the carnival raised on Saturday.
The carnival raised $780 on Saturday.
The carnival raised $1,440 on Saturday. its mulaple choice

Answers

Answer:

the second option, the third option, and the last option

Step-by-step explanation:

Answer: a,c,d

Step-by-step explanation: just took it

please help me X/3+2>7 solve for x

Answers

Answer: x>15

X/3 + 2 > 7

Subtract +2 from both sides to remove it from the left hand side of the >

X/3 > 5

Multiply both sides by 3 to remove the /3 from the left hand side of the > to fully get x on its own

X > 15

The circumference of a circle is 94.2 kilometers. What is the circle's radius?
C = 94.2 km
Use 3.14 for u.
kilometers

Answers

Answer:

[tex]^{}[/tex] in a file

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

given the equation y+9=-3(x-4) what point does the line pass through?

Answers

Answer:

(0,-5)

Step-by-step explanation:

First you want to simplify this equation by distributing the 3 into x-4:

y+9 = -3x+4

Next subtract 9 from both sides:

y= -3x -5

Now since I am assuming you want the Y-Intercept because you didn't ask for a specific point then it passes through the Y axis at the point (0,-5)

Using the information given, select the statement that can deduce the line segments to be parallel. If there are nor
then select none.
When m<7=m<8

Answers

Answer:

  none

Step-by-step explanation:

All you can deduce is that AC bisects angle A. This tells you nothing about the relationships between non-adjacent sides of the figure.

  no line segments can be deduced to be parallel

Graph the line with the equation y = 4/5x + 2

Answers

Answer:  I have provided a screenshot of what your graph should look like so uh yeah you got this!

The graph of the line with the equation y = 4/5x + 2 is given in below attachment.

To graph the line with the equation y = (4/5)x + 2, we can use the slope-intercept form, which is y = mx + b.

where "m" represents the slope and "b" represents the y-intercept.

In this case, the slope (m) is 4/5, and the y-intercept (b) is 2.

To plot the line, we can start by plotting the y-intercept, which is the point (0, 2).

From there, we can use the slope to find additional points and connect them to form the line.

Let's plot a few more points:

When x = 5:

y = (4/5)(5) + 2

= 4 + 2 = 6

So we have the point (5, 6).

When x = -5:

y = (4/5)(-5) + 2

= -4 + 2

= -2

So we have the point (-5, -2).

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ6

Other Questions
help------------>8) Identify the best 2 problem questions about things you might be observing right now.(pick 2 )When do we eat?What enables me to take air into my lungs?What is the effect of sunlight on the pavement outside?Why am I listening to my iPad?Why did Janie refuse to say "hi"? Which relations represent functions? Select all that apply. (25 Points) HiOk, I don't know what to do. I have 2 questions for you.1. What games can I play on Paper. Something other than mash, the game where you draw dots and connect the lines. I wanna play something creative, something to get my brain gears turning2. I'm looking for a scary book that when I start reading I'll be like 'WEEOOW' somethin like that, a book that I just can't stop reading, and can't put down.Ok thats a lot, Its okay if you can't answer both. just wondering why it is necessary to control the consumption of fats or lipids -32x^4 8x^2Solve urgent plz.. What are five of the most essential funtions of accounting ? What role did war play in bringing about the end of the Roman Republic? SOLVE THE INEQAULITY: 7w > 49I need help solving this!!! help please................. What is a cow's favorite type of math. I need help no links please Determine the real roots of f (x) = 0.6x2 + 2.4x + 5.5:(a) Graphically.(b) Using the quadratic formula.(c) Using three iterations of the bisection method to determinethe highest root. Employ initial guesses of xl = 5 and xu = 10.Compute the estimated error a and the true error t after eachiteration. what is a new skill to learn? why would you like to learn it? How would you use this skill? AT LEAST 3 full sentences for credit. In the field of ______, it is useful to compare the joint movements and muscle contractions to the mechanics of a lever Question 5 of 5Which sentence best completes the diagram?Congress's powers underthe Articles ofConfederationPassing laws thatapply to all states?Printing andborrowing moneyA. Enforcing laws through national courtsO B. Waging war against foreign countriesO C. Collecting taxes to fund the governmentO D. Forcing citizens to join the militarySUBMIT Would you rather find true love today or win the lottery next year?Tell me why.Best answer gets to pick between a thanks or brainliest:) what is 11/40 as a percentage what must you do when the temperature light on your dashboard comes on? How were Women treated in WWI? 13Select the correct answer from the drop-down menu.Read the passage. Then complete the sentenceThe central idea of the passage is that