If you visit a county or state fair, you will pay a basic admission fee plus other fees if you want to enjoy any of the amusement rides. County and state fairs that price this way are using:

Answer:

\(x + y = 400 \\ 9x + 2.50y = 2300\)

Step-by-step explanation:

Since X and Y represent the total number of adults and total number of children respectively,

total number of people attended the movie

\(x + y = 400 \\ \)

price for the ticket for adult is $9 and x adults are attending movie so total sale for adults is 9x

The price for the ticket for child is $2.50 and y children are attending the movie so total sale for children is 2.50y

which is total 2300.

So

\(x + y = 400 \\ 9x + 2.50y = 2300| \)

Answer:

equation: 2(2w + 2) = 60

length = 16

width = 14

Step-by-step explanation:

width = w

length = w + 2

perimeter = 2(w + w + 2) = 60

equation: 2(2w + 2) = 60

4w + 4 = 60

4w = 56

w = 14

width = 14

length = w + 2 = 14 + 2 = 16

length = 16

Answer:

276 meters in the first 2 hours

Step-by-step explanation:

Given that,

Professional climbers climb 828 meters in 6 hours.

Let us assume we need to find how far did they climb in the first 2 hours.

6 hours = 828 m

⇒ 1 hour = 138 m

So, in 2 hours,

2 hours = 138 × 2 m

= 276 m

So, the climber climb 276 meters in the first 2 hours

Answer:

9

Step-by-step explanation:

Substitute 8 for x

x2-7

8*2-7

16-7

9

Answer:

Step-by-step explanation:

Sorry if this is different, but based on what I read, here is the answer.

100 x 0.85 = 85

therefor it is 85%, which is significantly more than 80%

The additional $132 in overtime is added to Kenny's weekly wage calculation, while Sarah's weekly wage is solely based on the number of hours she worked multiplied by their shared hourly wage of $11 per hour,

The expression that represents the weekly wages of both Kenny and Sarah, given that they have an equal hourly wage of $11 per hour and Kenny made an additional $132 in overtime, can be calculated as follows:

Kenny's weekly wage = (11 * k) + 132

Sarah's weekly wage = 11 * s

Therefore, the expression representing the weekly wages of both Kenny and Sarah is:

(11 * k) + 132 for Kenny

11 * s for Sarah

Know more about wage here:

https://brainly.com/question/15431287

#SPJ11

Answer:

5

Step-by-step explanation:

Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.

Answer:

Mike= 10 years old

Sue= 25 years old

Step-by-step explanation:

Let the present age of Sue be s years old, while that of Mike be m years old.

Present

s= m +15 -----(1)

In 5 years

Sue's age= s +5

Mike's age= m +5

Given that Mike would be ½ of Sue's age in 5 years,

m +5= ½(s +5)

Multiply both sides by 2:

2(m +5)= s +5

Expand:

2m +10= s +5

2m +10 -5= s

s= 2m +5 -----(2)

Substitute (1) into (2):

m +15= 2m +5

2m -m= 15 -5

m= 10

Substitute m= 10 into (1):

s= 10 +15

s= 25

Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.

The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

learn more about probability here:brainly.com/question/11234923

#SPJ11

Answer:

\(g(x) = x^2+7x+12\)

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

\(f(x)=x^2+3x+2\)

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

\(g(x) = f(x+2)=(x+2)^2+3(x+2)+2\)

Simplify. Expand:

\(g(x) = (x^2+4x+4)+(3x+6)+2\)

Combine like terms. Hence:

\(g(x) = x^2+7x+12\)

The simplified form of the expression 4(3 - 4x) - 4x + 7 - 8x + 12 - 16x is \(16x^2\) - 52x + 31.

Simplify the given expression, we apply the distributive property first. We multiply 4 with each term inside the parentheses:

4(3 - 4x) - 4x + 7 - 8x + 12 - 16x

This simplifies to:

12 - 16x - 16x + 16x^2 - 4x + 7 - 8x + 12 - 16x

We combine like terms by grouping the variables and constants together:

(-16x - 16x - 4x - 8x - 16x) + (12 + 7 + 12)

This simplifies to:

-52x + 31

Hence, the simplified form of the expression is 16x^2 - 52x + 31. It is a quadratic expression with a coefficient of 16 for the x^2 term.

The -52x term represents the combined coefficient of all the x terms, and the constant term is 31.

To know more about expression refer here

https://brainly.com/question/28172855#

#SPJ11

Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

Learn more about time here

brainly.com/question/28050940

#SPJ4

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

Answer:

A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

Learn more about Cumulative Frequency here:

https://brainly.com/question/28491523

#SPJ4

The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

The equation of the surface of revolution generated by revolving x = (1/z)^z about the z-axis is x = e^(-y).

To find the equation of the surface of revolution, we start with the parametric equation x = (1/z)^z, y = t, z = t. We eliminate the parameter t by substituting z for t in the equation x = (1/z)^z. Simplifying further, we obtain x = e^(-y).

This equation represents the surface of revolution generated by revolving the curve x = (1/z)^z about the z-axis. The exponentiation by e^(-y) signifies that the x-coordinate changes exponentially as the y-coordinate varies.

Therefore, as we revolve the curve around the z-axis, it forms a surface with an exponential decay in the x-direction. Hence, the equation x = e^(-y) describes the surface of revolution.

Learn more about Equation click here :brainly.com/question/13763238

#SPJ11

Answer: 10 is your answer bud ❤

Answer:

the answer is simple 4

Step-by-step explanation:

10n4 simple just like 10 to the 4th power

To find the number of integers less than 305 that are divisible by 3, we can divide 305 by 3 and round down to the nearest integer. This gives us 101. However, we need to subtract 1 to exclude the number 305 itself, so there are 100 numbers less than 305 that are divisible by 3.

A number is said to be divisible if it divides evenly (leaving no residue). 34, for instance, is divisible by 2 since 2 enters 34 equally. 34 is not divisible by 3 since it would result in a remainder.

According to the three-digit rule of division, a whole number is said to be divisible by three if the total of all its digits is precisely divided by three. A number's ability to be divided by three can be determined without executing division.

To know more about divisible visit:

https://brainly.com/question/21416852

#SPJ4

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

Find out more about probability

brainly.com/question/29121185

#SPJ4

The parabolic equation of the graph at the top is y = -2(x - 2)² + 4

The parabolic equation of the graph at the bottom is y = 2(x - 2)² - 1

Quadratic equation in the standard vertex form,

y = a(x - h)² + k     where a = 1/4p

The vertex

v (h, k) = (2, 4)

substitution of the values into the equation gives

y = a(x - 2)² + 4

The graph passed through (1, 2) hence we use it to solve for a

2 = a(1 - 2)² + 4

2 - 4 = a(-1)²

a = -2

The parabolic equation is y = -2(x - 2)² + 4

For the graph at the bottom

v (h, k) = (2, -1)

substitution of the values into the equation gives

y = a(x - 2)² - 1

The graph passed through (0, 3) hence we use it to solve for a

3 = a(0 - 2)² - 1

3 + 1 = a(-2)²

a = 4/2 = 2

The parabolic equation is y = 2(x - 2)² - 1

Learn more about vertex of quadratic equations at:

https://brainly.com/question/29244327

#SPJ1

The point which is a solution to the system is (0, –1)

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

From the graphs, the solution to the graph is the dark line.

From the graph, we can see that the point which is a solution to the system is (0, -1)

Learn more about inequality here:

brainly.com/question/24372553

#SPJ1

The answer to the factorial expression 5!3! is 720.

The expression 5! means 5 factorial, which is calculated by multiplying 5 by each positive integer smaller than it. Therefore,

5! = 5 x 4 x 3 x 2 x 1 = 120.
Similarly,

The expression 3! means 3 factorial, which is calculated by multiplying 3 by each positive integer smaller than it.

Therefore,

3! = 3 x 2 x 1 = 6.
To evaluate the expression 5! / 3!, we can simply divide 5! by 3!:
5! / 3! = (5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 5 x 4 = 20.
Therefore, the answer is option a, 20.
To evaluate the factorial expression 5!3!

We first need to understand what a factorial is.

A factorial is the product of an integer and all the integers below it.

For example, 5! = 5 × 4 × 3 × 2 × 1.
Now,

Let's evaluate the given expression:
5! = 5 × 4 × 3 × 2 × 1 = 120
3! = 3 × 2 × 1 = 6
5!3! = 120 × 6 = 720
For similar question on factorial expression:

https://brainly.com/question/29249691

#SPJ11

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

Find out more on interpreting graphs at https://brainly.com/question/1638242

#SPJ4

Aaron can rent the bike for 4.1 hours and stay within his budget.

The total cost of renting the bike, including the hourly rate and the helmet fee, should not exceed Aaron's budget of $65.

The equation can be written as:

\(15h + 3 ≤ 65\)

Where:

h represents the number of hours Aaron can rent the bike.

In this case, we know that Aaron can rent the bike for 4.1 hours, so we can substitute that value into the equation:

\(15(4.1) + 3 ≤ 65\)

Simplifying the equation:

\(61.5 + 3 ≤ 6564.5 ≤ 65\)

Since 64.5 is less than or equal to 65, the equation is true.

Therefore, Aaron can rent the bike for 4.1 hours and stay within his budget.

learn more about budget

https://brainly.com/question/31952035

#SPJ11

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

To know more about smallest possible inside length, refer to the link :

https://brainly.com/question/17304098#

#SPJ11

Answer:

Try posting another question with an image of the problem attached

Step-by-step explanation:

Answer:

What's the question

Step-by-step explanation:

Answer:

The answer should be 2/9

Answer:

Cost of peach is 72 p each.

Step-by-step explanation:

Total amount was 5x100 = 500 p

Amount of apples were ( 4 x 60) = 240 p

Received change = 44p

Total amount for 3 peaches were = 500-240-44 = 216

Cost of 1 peach = \(\frac{216}{3}\)

= 72p

Answer:

Step-by-step explanation:

1/5 a-5=20   addition properties

1/5 a -5+5=20+5

1/5=25     multiply both sides by 5

5/5 a=25*5

a=125

check the answer:

125/5 -5=20

25-5=20

20=20 correct