Sydney is going to the amusement park. where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money
Sydney will spend is given by the equation y = 18 + 4r. where y represents the
total amount of money, in dollars and cents, and a represents the number of rides Sydney goes on. What could the number 4 represent in the equation?

Answers

Answer 1

The number 4 could represent the cost of each ride Sydney goes on in the equation

How to determine what the number 4 could represent in the equation?

From the question, we have the following parameters that can be used in our computation:

y = 18 + 4r

Where

y = total amount of money, in dollars and cents, r = the number of rides Sydney goes on

The equation y = 18 + 4r is a linear equation

A linear equation in its slope-intercept form can be represented as

y = c + mx

Where  x and y are the variables

So, we have

Slope = m

By comparing the equations, we have

m = 4

This means that

Slope = 4

In this case, the slope is 4

So, the interpretation is that 4 is the cost of each ride

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Related Questions

f(x) = x^2 + 1. g(x) =. 5 - x

(F+ g)(x)

Answers

We will aggregate terms with the same degree.

[tex](f+g)(x)=(x^2+1)+(5-x)=x^2-x+6[/tex]

Therefore, the answer to the question should be Option 3 or Option C)  from the beginning.

the confidence interval approach is the correct method by which to determine sample size. true false

Answers

The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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Isabella will earn $30 per hour at her new job. During training, she will earn $20
per hour. What percent of Isabella's regular hourly rate will she earn during
training?

Answers

By solving a little system of equations we will see that the percentage is 66.67%

What percent of the regular hourly rate will she earn during training?

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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cory has $3$ apples, $2$ oranges and $2$ bananas. if cory eats one piece of his fruit per day for a week and the pieces of fruit within each category are indistinguishable, in how many orders can cory eat the fruit? one such order is $aaaoobb.$

Answers

Then the orders can Cory eat the fruit is = 25

Given that,

If Cory has eat apples = 3$

If Cory has eat oranges = 2$

If Cory has eat bananas = 2$

Total eat fruits = 3 + 2 + 2

Total eat fruits = 7$

We have to express the amount of total fruits as an equation.

The amount of apples will be x,

The amount of oranges will be y,

The amount of bananas will be z

The amount of apples multiplied by 7 because they ate each day of the week.

7*(x) + y + z = now we have to replace the values ​​of x, y and z with the ones that gave us the problem

Then,

x = 3

y = 2

z = 2

So,

We can write,

7*(x) + y + z = 7 *(3) + 2 + 2

= 21 + 2 + 2

= 25

Therefore,

Then the orders can Cory eat the fruit is = 25

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Elena's distance and times for a training run are given by the equation y=8.5x, where x represents distance in miles and y represents time in minutes

Answers

Elena is covering a distance of 8 miles in one minute.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.

Answers

I don't see the picture. Can you send it in the message.

PLease help meh im begging you
Determine the measurement of ∠A, the angle marked in red.


The measure of ∠A is __________Degrees?

Answers

Answer:

x= 222 degress

Step-by-step explanation:

5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...

Answers

Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

A kangaroo hopped directly toward a lake at a constant velocity for 30seconds. In one-third of that time, the kangaroo hopped 60meters. What was the kangaroo's velocity?

Answers

Answer: The animal hopped 60 meters in 10 seconds

6 m/s (lol)

Step-by-step explanation:

First off ok and second off bye <3

If using the method of completing the square to solve the quadratic equation x 2 + x + 9 = 0, which number would have to be added to "complete the square"?

Answers

Answer:

Below

Step-by-step explanation:

To complete the square, the coefficient of x^2 must be 1  ( it is already)

   then take 1/2 of the x coefficient  .... 1/2.... square it and add it to both sides of the equation

   x^2 + x + 1/4   + 9   = 1/4

 then you can reduce this to

   ( x+ 1/2)^2  + 9 = 1/4   for further 'solving'

what is the value of 18 to the third power

Answers

Answer:

5832

Step-by-step explanation:

which statement must be true?

Answers

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

complete this working to write 9³ as a power of 3

9³=9x9x9

so 9³= 3x3x3x ____

so 9³=3^y where y=____

Answers

Answer: y=6

Step-by-step explanation:

s: One skis fast.
Express the statement One does not ski fast symbolically.

Answers

The given statement can be expressed as ~S.

What is a negation of a statement?

A negation of a statement is a statement that is the opposite of the original statement. In other words, a negation of a statement is a statement that is true if and only if the original statement is false, and vice versa.

To express the statement "One does not ski fast" symbolically, we can use the negation symbol

Using the symbol "S to represent the statement "One skis fast", we can express the statement "One does not ski fast" symbolically as:

~S

This can be read as "Not S" or "It is not the case that S."

Hence, the given statement can be expressed as ~S.

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A beetle is moving along a straight line at a constant rate. It moves 23 of a foot in 15 of a minute.

What is the average speed of the beetle?

Answers

The average speed of the beetle is 1.53 feet per minute.

What is the average speed?

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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5/7 of.... is 1/7. What is the missing number?

Answers

The missing number is      [tex]\frac{1}{5}[/tex]

Let the missing number be x.

now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]

on cross multiplying we get,

x= [tex]\frac{7}{35}[/tex]

on simplifying,

x= [tex]\frac{1}{5}[/tex]

Hence, the missing number is      [tex]\frac{1}{5}[/tex]

What is cross multiplying?

An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.

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The number of fish in a pond decreased by this year compared to last year.

Last year, there were fish in the pond.

How many fish are in the pond this year?

Answers

Answer:

number from last year - number of decrease

Step-by-step explanation:

The numbers are missing from the problem, but this is what you need to do.

Start with the number of fish in the pond last year.

Subtract the number of decrease.

What is 213 divided? Also how do you break 23 into tens and ones?

Answers

Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

x − 3y = −12 2x − y = 1 (1 point) a line includes points 0 comma 1 and negative 3 comma negative 4. A line includes points 0 comma negative 4 and negative 6 comma negative 2 a line includes points 0 comma 4 and 1 comma 3. A line includes points negative 2 comma 2 and negative 4 comma 0 a line includes points 0 comma negative 1 and 1 comma negative 3. A line includes points 6 comma negative 10 and 3 comma negative 11 a line includes points 0 comma 4 and 3 comma 5. A line includes points 1 comma 1 and 2 comma 3

Answers

By graphing the system of equations, we can see that the solution is (3, 5).

How to solve the system of equations?

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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17. Select the correct inequality and graph for the statement.
The highest temperature possible today is 95 °F.

Answers

The correct inequality for the statement - highest temperature possible today is 95 °F

x ≤ 95 °F

How to identify the correct statement

The statement saying the highest temperature possible today is 95 °F is represented by

knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards

assuming x represents the measles of the temperatures then

x is less than or equal to 95 °F means x can be any value but never greater than 95 °F

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1.2x-5=6.8x-15
[tex]1.2x-5=6.8x-15\\[/tex]

Answers

1.2x-5=6.8x-15 is 1.7

will mark brainliest pls
-photo is attached ! :)


The figures are similar, and the ratio of the perimeters is 2: 5. Find x.

Answers

Answer: x=3.2

Ste by Step

We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that  the perimeters of x is

x=3.2

From the question we are told

The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.

Generally the equation for the the ratio is mathematically given as

2=x

and

5=8

Therefore

x=3.2

Therefore

the perimeters of x is

x=3.2

Yujin Pon has a principal of $900 in her savings Iccount on October 1. The money earns interest at a rate of 6.5% compounded quarterly until July 1 of the following year. What is the amount in the account on July 1?

а.$914.63

b. $943.75

c.$943.87

d. $944.59

Answers

Answer: The correct answer is c. $943.87.

Step-by-step explanation: To solve this problem, we need to first determine the length of time between October 1 and July 1 of the following year. This is a period of 9 months, or 3 quarters. We can then use this information to calculate the amount of interest earned over this time period.

The principal in Yujin Pon's account is $900, and the interest rate is 6.5% compounded quarterly. This means that for each quarter, the account will earn 6.5/4 = 1.625% in interest. Over the 3 quarters between October 1 and July 1 of the following year, the account will earn a total of 1.625% * 3 = 4.875% in interest.

To calculate the amount of interest earned, we can multiply the principal by the interest rate:

Interest = Principal * Interest Rate

= $900 * 0.04875

= $43.87

The total amount in the account on July 1 will be the original principal plus the amount of interest earned over the 3 quarters:

Total = Principal + Interest

= $900 + $43.87

= $943.87

Therefore, the correct answer is c. $943.87.

the statement [tex]2(\frac{1}{2} x-5)[/tex], then x=20 is justified by what property?

Answers

The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.

How to find the property that justify the statement?

Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.

Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.

Hence,

2(1 / 2 x - 5) , when x = 20

Therefore,

2(1 / 2 (20) - 5)

2(10 - 5)

2(5) = 10

Hence, the property is substitution property.  

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the interior angles of a regular polygon each measures 165 degrees. how many sides does the polygon have

Answers

Here is an easy way to solve the problem:

1) The interior and the exterior angles
make a linear pair: add up to make 180°.

180° - 165° = 15° measure of one ext. angle

2) the sum of the exterior angles of any convex polygon is 360°

360° ÷ 15° = 24 exterior angles

3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon

4) Therefor there are 24 sides in this regular polygon

Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50

Answers

The number of boxes of sugar that Alonso can buy are 4.5 boxes.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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Describe the 3-D figure that would be formed if the figure is rotated about the y-axis. (You can say what it looks like.)

Answers

By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.

What kind of solid is generated by rotating a profile about the y-axis?

In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).

The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.

In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.

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If a fair die is rolled 4 times, what is the probability, rounded to the nearest thousandth, of getting at least 3 twos?

Answers

7.08  is the probability, rounded to the nearest thousandth.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur.

                   We can discuss the probabilities of various outcomes to determine how likely they are whenever we are uncertain about the result of an event. Statistics describes the examination of events subject to probability.

Probability of getting a six on rolling a dice = 1/3

Here ,

n = 4 , p = 1/3

So, For P(X <= 1) = P(X = 0) + P(x = 1)

4C0 * (1/6)^0 * (1 - 1/3)^(4-0) + 4C1 * (1/3)^1 * (1-1/3)^(4-1)

= 1 * 1 * (5/3)^4 + 4 * (1/3) *

= 5.75 + 1.33

=  7.08

= 7.08 (nearest thousandth)

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A manager of a self-service car wash charges a flat fee in addition to a fee per minute, x, for use of the services. The expression 5+0.75x models the scenario.

Which statement is true?

Responses

The coefficient 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.

The coefficient 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.

The constant 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.

Answers

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 5+0.75x.

In the given expression, 5 is constant term and 0.75x is another term.

In the term 0.75x, 0.75 is the coefficient of x

In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.

Therefore, option D is the correct answer.

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True or false. When y is positive, the value of y^2 is always greater than the value of y. Why?
however if you have 0.5^2 which is 0.25 is that not smaller than 0.5

Answers

Answer: False

Step-by-step explanation:

If [tex]y=0.5[/tex], then [tex]y^2=0.25[/tex], whereas [tex]y=0.5[/tex].

Therefore, this is a counterexample. Hence, the statement is false.

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