A record breaking rollercoaster at an amusement park can take 28 people on each ride. A total of 24,539 people ride the rollercoaster one day. All of the rides are full except the last ride. How many rides are given?

Answer: 3702

Step-by-step explanation: from plato

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Since both triangles are similar, the following relationship must be fulfilled:

because 6 inches are equal to 0.5 feet. Then, by multiplying both sides by 5.5ft, we have

Therefore, the height of the lighthouse is 13.75 ft.

In order to express the result in feet and inches, lets convert 0.75 feet to inches. It yields,

Then, another expression for the answer is 13 feet and 9 inches

The required number of different distances possible is given as 36.

Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36

Thus, the required number of different distances possible is given as 36.

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Answer:

Step-by-step explanation:

Their sum is 0 true

They are opposites true

They are the same distance from zero on the number line true

The distributive property of multiplication simply means multiplying the outside number to each of the numbers inside the parenthesis.

In our expression, 5 (2z + 4), our outside number is 5. We are going to multiply 5 by each of the numbers inside the parenthesis.

Here:

5 x 2z = 10z

5 x 4 = 20.

Therefore, 5(2z + 4) = 10z + 20. Option B.

Answer: 6/14 or 3/7

Step-by-step explanation:

There are a total of 14 employees hired so it would like like this: 1/14 if you were to chose one of all 6 women and 8 men hired.

There are 6 women that may be chosen out of all 14 employees of which 8 are men, now what this would look like is : 6?14 or simplified, (3/7).

This means there is a 6/14 chance of choosing a woman instead of a man in these 14 hired employees. just because the question asks, "what is the chance of a woman getting chosen", of the other 5 women and 8 men hired, so the answer is 6/14 or 3/7 to chosen as a women instead of men in all the 14 employees that may/might be chosen. hope this helps love yawl!!

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Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

ANSWER:

D. The set of all possible output values

STEP-BY-STEP EXPLANATION:

The range of a function is the interval of values that the response or dependent variable can take, that is, they would be the output values.

Therefore, the correct answer is D. The set of all possible output values

Answer:

Inequality:

Graph choice:

Step-by-step explanation:

Inequality

It says at least 90, which means we have to use the greater than or equal to sign

Our inequality so far: 90≥______

Now it says you earn 7 dollars per hour, which means 7 times the number of hours you work or 7h. Our inequality now looks like this:

90≥7h

The answer choice that matches is A (90≥7h = 7h≤90)

For the second question on the bottom, I added an image.

(Answer is B)

Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.

According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.

Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.

The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.

by the segment addition postulate,

AC + CE = AE so AC = AE - CE

AC = (x+50) - (x+32)

AC = x+50-x-32

AC = 18

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The function f(x) = x² then the required function exists g(x) = -x²- 4.

The function exists described as y = f(x).

In mathematics, a function from a set X to a set Y allocates to each element of X exactly one element of Y. The set X exists named the domain of the function and the set Y exists named the codomain of the function. Functions stood originally for the idealization of how a variable quantity relies on another quantity.

For every x there exists a certain value of y.

From the graph g(x) exists reflection of f(x) at y = -4.

So g(x) = -f(x) - 4, the negative sign for reflection.

g(x) = -x² - 4

The required function exists g(x) = -x² - 4.

Therefore, the correct answer is option D. g(x) = -x² - 4.

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The complete question is:

F(x) = x². What is g(x)?

A. g(x) = x² - 4

B. g(x) = x² + 4

C. g(x) = -4x²

D. g(x) = -x² - 4

The volume of the pyramid as shown in the diagram is 363.67 cm³.

Volume is the space occupied by a solid shape.

To calculate the volume of the Pyramid, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence the volume of the pyramid is 363.67 cm³.

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Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)

Answer:

The total number of girls is 174

Step-by-step explanation:

Answer:

3x^2 + 12x - 15

Step-by-step explanation:

(x+5) * (x - 1) * 3

(x^2 + 5x - x - 5) * 3

(x^2 + 4x - 5) * 3

(3x^2 + 12x - 15)

Answer:

All of them except a trapezoid

Step-by-step explanation:

The playground has two pairs of sides that are congruent to each other (70 = 70, 50 = 50), but a trapezoid only has ONE pair of sides that are congruent to each other; the other two are not the same. Therefore, this playground can be any shape besides a trapezoid.

The required, example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

Here,
Being "underwater" on a car means owning more on a car than it is currently worth.

Based on the given options, the example of being "underwater" on a car is option B, owing $8600 on a car that's worth $8200.

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Answer:

Step-by-step explanation:

Answer:

5063

Step-by-step explanation:

You subtract 44.33 from 500. Then you are left with 455.67

455.67 divided by 0.09 is 5063.

Answer:

b=2a+

Step-by-step explanation:

a=1/2(b-c)

a=1/2b-1/2c

a + 1/2c=1/2b

2/1(a+1/2c)=(1/2b)2/

2a+c=

b=2a+

Two equivalent fractions to 2/25 are given as follows:

4/50 and 8/100.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

Two fractions are called equivalent when the ratio between their numerators and denominators is the same.

The fraction in this problem is defined as follows:

2/25.

To obtain an equivalent fraction, we multiply both the numerator and denominator by the same constant, hence:

The problem asks for two equivalent fractions to 2/25.

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Answer:

5. B

6. C

7. D

Step-by-step explanation:

hope this is correct and helps hehe

Answer:

def inch_to_feet (x):

return 1/x

Step-by-step explanation:

Implementating the program Using python 3 :

def - - - > function declaration keyword

inch_to_feet - - > function name

x - - > argument which the function takes

The value returned is a conversion of x which is in inches to feets

1/12 feet = 1 inch

To see the value returned ;

We can run the code :

def inch_to_feet(x):

return (1/12)*x

b = inch_to_feet(12)

print(b)

The code above will print 1.

Two points should be noted: The 15% is first calculated using your annual gross wage rather than your take-home pay. Second, the business match is not included in your 15%.

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To determine the shaded portion in the following figures on the image attached

Count the number of shaded portions and divide by the number of unshaded portions. =

(a)

(b)

(c)

(d)

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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