One afternoon the water park sold 525 tickets for a total of $13,545. Child tickets cost $19 each, and adult tickets cost $40 each. How many of each kind of ticket were sold?

Answers

Answer 1

Answer:

c = 355 ; a = 170

Step-by-step explanation:

c = children

a = adults

c + a = 525

19c + 40a = 13545

19c + 19a = 9975

19c + 40a = 13545

-21a = - 3570

a = 170

c + 170 = 525

c = 355


Related Questions

If you know how to solve this, Please answer it. Thank You

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!​​​

Answers

Answer:

48

Step-by-step explanation:

x1 = 20 ; y1 = 12  

x2 = ? ; y2 = 5

[tex]\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}\\\\\frac{20}{x_{2}}=\frac{5}{12}\\\\20 *12 = x_{2}*5\\\\\frac{20*12}{5}=x_{2}\\\\4*12=x_{2}\\\\x_{2}=48[/tex]

Aryav has 3,974 baseball cards. He wants to put them in collector sheets that hold 32 cards per sheet. How many sheets does Aryav need for his entire collection?

What can they do with the remainder?
Pls try to answer both questions.

Answers

Answer:

he will need 125 college tor sheets

3,974 / 32 =124.1875

I'm not sure about the second part its a little unclear.

Answer:

Step-by-step explanation:

3,974 / 32 = 124 R 6

I think they should give the remainder (6) away to other people or keep it and put it somewhere...

Find the slope of the line passing through the points (3,16) (8,18)
A) 2/5
B)-5/2
C)5/2
D)-2/5

Answers

Answer:

2/5

Step-by-step explanation:

Slope of line is also called the gradient of line.

The formula of gradient of a straight line is always (y1-y2)/(x1-x2)

What is the percent change from 40 to 55? Show calculations and final answer. Round to the nearest percent.

Answers

Answer:

73%

Step-by-step explanation:

40/55 x 100

= 72.72727273

Rounded = 73%

Hope this helps!

Solve the equation 18 = 3 + 5x for x.

OA) 1

OB) 2

O C) 3

OD 4​

Answers

Step-by-step explanation:

18 = 3 + 5x

15=5x

x=15/5

x=3

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C) \:x\:=\:3}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]18 = 3 + 5x[/tex]

➺[tex] \: 5x = 18 - 3[/tex]

➺[tex] \: 5x = 15[/tex]

➺[tex] \: x = \frac{15}{5} [/tex]

➺[tex] \: x = 3[/tex]

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex]18 = 3 + 5x[/tex]

➺[tex] \: 18 = 3 + 5 \times 3[/tex]

➺[tex] \: 18 = 3 + 15[/tex]

➺[tex] \: 18 = 18[/tex]

➺[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Convert 8 1/6 into an improper fraction

Answers

Answer:

49/6

Step-by-step explanation:

8×6= 48

+ the numerator

The mixed fraction number in the form of an improper fraction will be 49/6.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

⇒ 8 ¹/₆

Convert the mixed fraction number into an improper fraction. Then we have

⇒ 8 ¹/₆

⇒ 8 + 1/6

⇒ (48 + 1) / 6

⇒ 49 / 6

The mixed fraction number in the form of an improper fraction will be 49/6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Write the equation of the ellipse 4x^2+9y^2+72x+108y+612=0 in standard form.

Answers

Answer:

(x+9)^2 + (y+6)^2

       9           4        =1

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

I need help help please help

Answers

middle left my guy lol..

The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 receiving-sets at random and inspects them thoroughly. Assuming that 5 of the 50 receiving-sets in the current lot are defective, find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Answers

Answer:

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Step-by-step explanation:

Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Lots of 50 means that [tex]N = 50[/tex]

5 are defective, which means that [tex]k = 5[/tex]

4 are selected, which means that [tex]n = 4[/tex]

Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430[/tex]

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Graph the slope Y=1/7x+1

Answers

The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.

On a graph, it looks like the graph above.

On a map of a campground, the distance between the general store and the highway is 5 cm. If 1cm = 500m on a map, what is the actual distance in kilometers between the general store and the highway?

Answers

Answer:2500

Step-by-step explanation:5 x 500 = 2500

The random variable X is normally distributed with mean of 80 and variance of 36. The 67th percentile of the distribution is

Answers

Answer:

82.64

Step-by-step explanation:

Mean = 80 ; σ² = 36 ; σ = √36 = 6

Using the relation :

P(Z < x) = (x - mean) / standard deviation

P(Z < x) = 0.67

Z = invNorm(0.67) = 0.44

Hence,

0.44 = (x - 80) / 6

Cross multiply :

6 * 0.44 = x - 80

2.64 = x - 80

2.64 + 80 = x

82.64 = x

Hence, X = 82.64

ayudaaaaa por favor

Answers

Answer:

La respuesta es treinta coma seis.

Espero que esto ayude.

You roll a standard number cube. Find P (number greater than 5)

Answers

Answer:

1/6

Step-by-step explanation:

Grandma Gertrude’s Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 30 pieces. They find a sample mean of 4% with a standard deviation of 2%. What is the margin of error at 90% confidence?
a. 1.49%
b. 1.24%
c. 0.62%
d. 0.75%
e. 1.36%

Answers

Answer:

c. 0.62%

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6991

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

Sample of 30, standard deviation of 2%.

Then

[tex]M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62[/tex]

0.62%, so option c.

f(x) = 2x^2 – 3x - 9
g(x) = 4x^2 – 9
Find (f/g)(x)

Answers

Answer:

i dont get it sorry

Step-by-step explanation:

A mountain bike is prices at $413 if the sale tax is 6.5 percent what is the cost to purchase the mountain bike ? Round to the nearest cent if necessary

Answers

The cost to purchase the mountain bike is $439.85.

Answer: 439.84
Reason: multiple original bike price by 6.5% and add that sum to the original bike price

The numbers 24, 22, 34, 28, 29, 24, 25 29, a and b have a median of 27 and a mode of 29. Given that a

Answers

Answer: Median is 26,5 and modes are 24 and 29

Step-by-step explanation: In increasing order numbers are

22, 24 24, 25 , 28, 29 , 29 , 34. Because amount of number is even

median is (25 + 28) / 2 = 26,5 and modes are 24 and 29 because both

numbers exist twice

PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS

Choose the polynomial written in standard form.

xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x

Answers

Answer:

Can you please organize them so that the exponents are marked as x^2?

Step-by-step explanation:

To me, none of this is in standard form because the numbers are before the variables.

Wat is the slope of the line that passes through the points 3,1) and (-2,5)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m=\boxed{-\frac{4}{5}}[/tex]

»»————- ★ ————-««  

Here’s why:  

We can use the slope formula to find the slope of the two points given.

⸻⸻⸻⸻

[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Lisa rectangular living room is 20 feet wide if the length is 6 feet less than twice the width what is the area of a living room

Answers

Answer:

Step-by-step explanation:

20 * ((2*20)-6)

20*34

680

- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?

Answers

Answer:

$20.85 less.

Step-by-step explanation:

City sales:

7% tax = 48.65

total bed cost = $743.65

Nearby City:

4% tax = 27.8

total bed cost = $722.8

city sale - nearby city

743.65 - 722.8

=20.85

Product of [x y] [1 2] is

Answers

Answer:

12xy

Step-by-step explanation:

Product of [x y] [1 2] is

(xy)×(12)=12xy

Will choose brainliest! How would you do this problem?

Answers

Answer:

[tex]c=8[/tex]

Step-by-step explanation:

When we plug in the solution [tex](x+2)[/tex], we will substitute [tex]x=-2[/tex], as [tex]-2+2=0[/tex].

To be divisible, a remainder of zero must be yielded.

Let's substitute [tex]x=-2[/tex] to see what we need to make [tex]c[/tex]:

[tex]p(-2)=4\cdot(-2)^3+c\cdot (-2)^2+(-2)+2,\\p(-2)=-32+4c[/tex]

Remember that we want a remainder of zero:

[tex]-32+4c=0,\\4c=32,\\c=\boxed{8}[/tex]

Determine whether the given description corresponds to an observational study or an experiment.

A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.

Answers

Answer:Good luck hopefully somebody answer your question

Step-by-step explanation:

Lexie started her homework at 4:30 P.M. She finished at 5:05 P.M. How many seconds did it take her to finish her homework?

Answers

Answer:

2100 seconds

Step-by-step explanation:

4:30 P.M. → 5:05 P.M. there are 35 minutes in between.

1 minute = 60 seconds

35 minutes × 60 seconds = 2100 seconds

The perimeter of a square piece of gold is 28 millimeters. How long is each side?​

Answers

Answer:

7 millimeters

Step-by-step explanation:

Perimeter is the distance around an object.

The object is a square so all sides are equal. This means that we can do 28mm / 4 and get our answer of 7 millimeters.

In a given triangle, side "a" is 7 inches long and side "b" is 24 inches long. The length of side "c" is

Answers

Answer:

25

Step-by-step explanation:

the formula for the hypotenuse of a triangle is

a^2+b^2=c^2

plug in what we know

7^2+24^2=c^2

49+576=c^2

625=c^2

c=25

hope this helps

What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent. O A. 27.3% O B. 10.9% O C. 21.9% O D. 3.1% SUBMIT​

Answers

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Answer: 10.9

Step-by-step explanation

1. If segments MN, NO, and MO are tangent to circle P, find x.
70
x
•Р
2 m
M
N
-10 m
2 m
5 m
6 m
8 m

Answers

Answer:

Step-by-step explanation:

8m

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