The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?

Answer:

x=7

Step-by-step explanation:

This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:

6x-7=4x+7

From there you can solve for x. I will write my process here:

2x-7=7

2x=14

x=7

Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!

Answer:

edfghjkoijuhgyfdsdfghjkl

Step-by-step explanation:

Answer:

1 is C and 2 is B

Step-by-step explanation:

Answer:

$892.50

Step-by-step explanation:

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

Answer:

Adopt me is good.....

But I don't have good offers

i'll offer for the dragon.

Answer:

y=3x-2

Step-by-step explanation:

you find the 3 (the slope) by seeing how much the y value grows

the -2 is the value of the y-intercept (more clear on a graph) but it's when the point is (0,__) so you subtract 3 from 1.

Answer:

The answer is the third option, y=3x-2

Explanation:

I'm horrible at explaining, but basically the y-axis is increasing by 3's so it's not negative, and to find the y-axis, we simply put a 0 ontop of the 1 in the x-axis, and across that we get -2 because the y-axis is increasing by 3's.

So sorry for my messy explanation, but I hope it helps :)

Answer:6y+30

Step-by-step explanation:

simplify the expression :)<3

Answer:

6y + 30

Explanation:

10(y + 3) - 4y

Expand 10(y + 3): 10y + 30

10y + 30 - 4y

Simplify

= 6y + 30

- PNW

Answer:

We have established the following sequence

6, 12, 18,...

The given is the Arithmetic sequence with the nth term

[tex]a_n=6n[/tex]

d = 6 is a common difference.

Step-by-step explanation:

Given the formula

Sₙ = 3n² + 3n

Put n = 1 to determine the sum of the first term

S₁ = 3(1)² + 3(1)

S₁ = 3 + 3

S₁ = 6

As the sum of the first term includes the only first term, so

a₁ = 6

Put n = 2 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₂ = 3n² + 3n

S₂ = 3(2)² + 3(2)

S₂ = 12 + 6

S₂ = 18

as

S₂ = a₁ + a₂

substituting S₂ = 18, a₁ = 6

18 = 6 + a₂

12 = a₂

so

a₂ = 12

Put n = 3 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₃ = 3(3)² + 3(3)

S₃ = 27 + 9

S₃ =36

as

S₃ = a₁ + a₂ + a₃

substitutingS₃ =36, a₁ = 6, a₂ = 12

36 = 6+12+a₃

a₃ = 36-6-12

a₃ = 18

Thus,

a₁ = 6

a₂ = 12

a₃ = 18

Therefore, the sequence becomes

a₁, a₂, a₃,...

6, 12, 18,...

Let us check the common difference 'd' between the adjacent terms

d = 12 - 6 = 6

d = 18 - 12 = 6

As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.

Thus,

Furthermore, the nth term of the Arithmetic sequence can be defined as

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting d = 6 and a₁ = 6

[tex]a_n=6\left(n-1\right)+6[/tex]

[tex]a_n=6n[/tex]

Answer:

6.25 Miles per hour speed

Answer:

g

Step-by-step explanation:

Answer:

Where is the pic?

I will answer in the comments or edit my answer once u post the pic!

:D

Answer:

Yes: $1.77

Step-by-step explanation:

20.24 - 4.49 = 15.75

15.75 - 3.99 = 11.76

Yes, there will be enough for the 9.99 thing

11.76 - 9.99 = 1.77

The man will have 1.77 at the end.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

y + 8 = -12(x - 8)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (8, -8)

Slope m = -12

Step 2: Write Function

Substitute variables into general form.

y + 8 = -12(x - 8)

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

Answer:

A. 8(4+2)

Step-by-step explanation:

have a nice day

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

Answer:

1. sliver's gym

2. sliver's gym

3. fitness planet

4. fitness:345 to sliver: 185

Step-by-step explanation:

1. with zero months

fitness planet cost is C = 22(0)+15= 15

sliver's gym cost is C = 15(0)+5= 5

2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships

3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.

4. Fitness planet C = 22(12)+15 = 345

Sliver's gym C = 15(12)+15 = 185

The graph that shows the solutions to the inequality is the last graph.

Here we have the inequality:

-3.55g ≤ -28.4

To solve this, we need to isolate g, we can divide both sides by -3.55

g ≤ -28.4/-3.55 = 8

g ≤ 8

Then we must have a black dot at x = 8, and we shade the region to the left of it, meaning that the correct graph is the last one.

If you want to learn more about inequalities:

https://brainly.com/question/18881247

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Answer:

Step-by-step explanation:

Using the formula for calculating speed;

Speed = Distance/Time

Given

Speed = 3/24 miles per 3 hours

Required

Distance travelled in an hour

3/24 miles = 3 hours

x = 1 hour

Cross multiply;

3 * x = 3/24 * 1

3x = 3/24

Cross multiply;

3x * 24 = 3

72x = 3

x = 3/72

x = 1/24

Hence the distance travelled each hour is 1/24 miles

Answer:

c

Step-by-step explanation

make it simple

Answer:

A-6

Step-by-step explanation:

Answer:

ans 6

Step-by-step explanation:

by expanding the equation,

4y-24=0

4y=24

y=6

Answer:

10,000

Step-by-step explanation:

The denominators of two or more fractions must have a common factor, and the calculation can be defined as follows:

              [tex]\to[/tex] [tex]\frac{2}{3} - \frac{3}{5}\\\\[/tex]

              [tex]\to[/tex] [tex]\frac{10-9}{15}\\\\[/tex]

              [tex]\to[/tex] [tex]\frac{10}{15} - \frac{9}{15}\\\\[/tex]

So, the common denominator value by using the 15 is equal to

 [tex]\to \frac{2}{3} : \frac{10}{15} : \frac{3}{5}: \frac{9}{15}[/tex]

Find out more about the common denominator here:

brainly.com/question/896263

Answer:

10/2

Step-by-step explanation:

first 10/2=5

you divide 10 into 2 until you get 5 of such groups

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

Answer:

q=-6.4

Step-by-step explanation:

If you need proof or don't understand I can edit it just tell me.

Answer:

15 pies sold and 10 cakes sold.

Step-by-step explanation:

Let p be the number of pies sold.  So, the number of cakes sold is 25-p.

5.99p + 9.99(25-p) = 189.75

5.99p + 249.75 - 9.99p = 189.75

4p = 60

p = 15

25 - p = 10

The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Ashley just lit a new candle and then let it burn all the way down to nothing.

Let L represent the length of the candle remaining unburned, in inches, t hours after the candle was lit.

The slope is calculated as,

m = (0 - 7) / (7 - 0)

m = - 1 inch per hour

Then the linear equation is given as,

L = - t + 7

The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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