The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. She only spent her money on ride tickets and admission into the festival. The price of admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation to calculate the cost for anyone who only pays for festival admission and rides
(c) Explain your answer to Part B.

Answer:

Exact Form = 8/5

As a decimal = 1.6

As a Mixed Fraction =  1 3/5

Step-by-step explanation:

If it would make it esier for you to understand I would sugest turning the fraction, "46/5" into a decimal.

You do that by dividing 46 by 5. You then get, 9.2.

Then do 9.2 divided by 5.75 and you get 1.6.

If you would like the answer as a fraction just turn the answer into a fraction.

Hope this helps :-)

To divide 46/5 by 5.75, multiply the numerator and denominator of 46/5 by the reciprocal of 5.75/1, which is 1/5.75. Simplify the expression to get 8/23.

To divide 46/5 by 5.75, we can first express 5.75 as a fraction by dividing 5.75 by 1. This gives us 5.75/1. Next, we can multiply both the numerator and denominator of 46/5 by the reciprocal of 5.75/1, which is 1/5.75. This gives us (46/5) * (1/5.75). Simplifying the expression, we get 8/23.

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Answer:

To express 0.1 as a percent, move the decimal point (2) place(s) to the (right) and attach (%)

Step-by-step explanation:

Hope it helps!

To express 0.1 as a percent, move the decimal point (2) place(s) to the (right), and attach (%).

To write 0.1 as a percent, we will execute the subsequent steps:

Multiply the given decimal number by 100.

This gives [tex]$0.1 \times 100=10$[/tex]

During decimal multiplication, we always move the decimal to the right depending on the number of zeros by which the given decimal number exists multiplied.

Here we contain 2 zeros, hence we shift 2 places to the right.

Append the % symbol in the product acquired. So, the necessary percentage exists [tex]$10 \%$[/tex].

In simple words, we can just multiply the assigned decimal number with 100 to transform it into a percent.

Therefore, 0.1 as a percent exists 10 %.

To express 0.1 as a percent, move the decimal point (2) place(s) to the (right), and attach (%).

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36 ÷ 4 can be written as:

Thirty-six divided by four.

24 - (6 + 3) can be written as:

The difference of twenty-four and six plus three.

We'll use the expression x - 7 for this one.

The difference between a number and seven.

Hope this helps!

If we are trying to solve this then the variable A would be equivalent to 2/5 or A < 2/5

1. Ten times a number increased by four is no more than twenty five is  [tex]\(10x + 4 \leq 25\)[/tex]

2. One fourth of the opposite of the difference of five and the number less than twenty is  [tex]\(\frac{1}{4}(-5-x) < 20\)[/tex].

3. -5a+3>1  This inequality asserts that the result of subtracting three times a value (a) from negative five is greater than one.

1. [tex]\(10x + 4 \leq 25\)[/tex]: This inequality describes a situation where ten times a number (x) increased by four is less than or equal to twenty-five.

It represents a constraint on the possible values of x such that the expression 10x + 4 does not exceed 25.

2. [tex]\(\frac{1}{4}(-5-x) < 20\)[/tex]: This inequality states that one-fourth of the opposite of the difference of five and the number (x) is less than twenty.

It indicates a restriction on the value of x such that when subtracted from five and negated, the result, when multiplied by one-fourth, is less than twenty.

3. Description of Inequality: -5a + 3 > 1

  This inequality asserts that the result of subtracting three times a value (a) from negative five is greater than one.

It signifies a condition where the expression -5a + 3  is strictly greater than 1, setting boundaries on the possible values of a to satisfy this relationship.

The probable question may be:

1. Ten times a number increased by four is no more than twenty five

2. One fourth of the opposite of the difference of five and the number less than twenty.

3. Write a description of each inequality.

-5a+3>1

At the point where the tangents meet the circle, the angles are 90.

So using angle sum of a quadrilateral:

360 - (90 + 90) = 180

so 180 = x + 40

x = 180 - 40

x = 140

I had to answer a question similar to that one on Math XL. This question was about renting a truck instead of needing a 48 mile taxi. (Took me a long time just to find the truck question, but I am giving you the truck help me answer the question, in hopes that it will help you.)

The cost of renting a truck from Hamilton Auto Rental is ​$47.60 per day plus ​$0.15 per mile. The expression 47.60 plus 0.15 m represents the cost of renting a truck for one day and driving it m miles. Evaluate 47.60 plus 0.15 m for m equals 120.

Substitute the numerical value for each variable into the expression and simplify the result.

I am sorry if that didn't help you, but it was the closest thing I could find to use to help you.

Equation of a line in slope-intercept form is y = mx + b

If it has a slope of 1/2, you set m = 1/2. If it has a y-int at the origin, you set b = 0

Put it all together:

y = 1/2x + 0

or

y = 1/2x

Linear equation with slope [tex]\frac{1}{2}[/tex] and y-intercept as origin will be [tex]y=\frac{1}{2}x[/tex].

    Equation of a line with slope 'm' and y-intercept 'b' is given by the equation,

It's given in the question,

If the line passes through origin, line will have no y-intercept (b = 0)

By substituting the values of 'm' and 'b' in the equation,

[tex]y=\frac{1}{2}x+0[/tex]

[tex]y=\frac{1}{2}x[/tex]

    Therefore, linear equation will be [tex]y=\frac{1}{2}x[/tex].

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None of those show another way to 64

6*6*6*6=1296

4*4*4*4*4*4=4096

6+6+6+6=24

6*4=24

Another way to show 64 is 8*8 or 4^3

I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?

Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, x. That year, that price of x increased by 20% more than it was before, or 120% times the original value. Because of that, it's now $150.

We can equation this.

1.20x = 150

x = 150/1.2

x = 125

The bike, I believe, cost $125 last year. Hope this helps!

Final answer:

To find the value of the mountain bike last year, we can use the concept of percentage increase and decrease.

Explanation:

To find the value of the mountain bike last year, we can use the concept of percentage increase and decrease. If the price of the bike increases by 20%, then the current value is 120% of the previous value.

To find the previous value, we can set up an equation: 120% of the previous value is equal to $150. Mathematically, this can be written as 1.2x = 150, where x is the previous value.

Solving the equation, we divide both sides by 1.2 to isolate x: x = $125. Therefore, the value of the mountain bike last year was $125.

Answer:

50 ≤ x ≤ 100

Step-by-step explanation:

The variable x represents the number of books Hugh needs to sell to earn at least $400. The 400 needs to be replaced with 100 because that is the highest number of books Hugh has to sell.

The equation that shows how the width depends on the length for rectangles with an area of 24 inches squared is w = 24/l.

To find the equation that shows how the width (w) depends on the length (l) for rectangles with an area of 24 inches squared, we need to set up a proportion using the formula for the area of a rectangle. The area of a rectangle is equal to the length multiplied by the width, so we have the equation: l * w = 24.

Now let's solve for w in terms of l:

By substituting different values for l, we can find corresponding values for w and see how they are related.

If it travels 55 miles per ONE HOUR - and our goal is to determine the distance in FOUR HOURS - we must multiply these two numbers together.

4 x 55 = 220 Miles

Something

What is ADJ and HYP?

Here is your answer:

1. The rectangle has a "right angle." Remember that right angles are angles that look like a  L.

2. The polygon has a "obtuse angle." Remember that obtuse angles are higher then right angles.

3. The parallelogram has a "acute angle." Remember that acute angles are lower then right angles.

Hope this helps!

Answer:

8.50

Step-by-step explanation:

sales price x sales tax rate = sales tax

170 x .05 =8.50

The deals duty on apparel that costs $ 170 with a deals duty rate of 5 is $8.50.

To calculate the deals duty on apparel that costs $ 170 with a deals duty rate of 5, you can follow these way

Convert the deals duty rate from a chance to a numeric.

The deals duty rate of 5 is original to 0.05.

Multiply the deals price of the apparel by the deals duty rate to find the deals duty quantum.

Deals duty quantum = $ 170 x 0.05

= $8.50

Thus, the deals duty on apparel that costs $ 170 with a deals duty rate of 5 is $8.50.

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Answer: 414 feet per minute.

Step-by-step explanation:

Given : A snowboarder descends from an elevation of 2253 feet to an elevation of 1011 feet in 3 minutes.

Then, the mean change in elevation per minute is given by :-

[tex]\dfrac{\text{Change in elevation}}{\text{Time}}\\\\=\dfrac{2253-1011}{3}=414[/tex]

Therefore. the mean change in elevation per minute = 414 feet per minute.

The  mean change in elevation per minute 414

per minute

Mean change in elevation per minute=(2253 feet-1011 feet) / 3 minutes

Mean change in elevation per minute=1242 feet/ 3 minutes

Mean change in elevation per minute=414 per minute

Inconclusion  the mean change in elevation per minute is 414 per minute.

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a) (x,y) =(x-3, y-2)

Answer:

a) (x,y) → (x - 3, y - 2)  

Step-by-step explanation:

Comparing the pre-image points, r, s and t, to the image points, r', s' and t', we see that the x-coordinates of the image are all 3 less than the x-coordinates of the image:

10-7 = 3; 8-5 = 3; 6-3 = 3

This means the first part of the translation rule will be x-3.

Now comparing the y-coordinates, we see that the y-coordinates of the image are all 2 less than the y-coordinates of the pre-image:

6-4 = 2; 4-2 = 2; 6-4 = 2

This means the second part of the translation rule will be y-2.

This gives us (x, y)→(x-3, y-2).

I believe it’s 6.8 if I’m wrong I’m sorry

By using the formula of  perimeter of rectangle,

Length of the rectangle is 24 inches

What is perimeter of a rectangle?

Perimeter of a rectangle is the length of the boundary of the rectangle.

If the length of the rectangle is l and breadth of the rectangle be b, then perimeter of rectangle is [tex]2(l + b)[/tex]

Let the length of rectangle be l inch

Width of rectangle = 10 inch

Perimeter of rectangle = [tex]2(l + 10)[/tex] inch

By the problem,

[tex]2(l + 10) = 68\\l +10 = \frac{68}{2}\\l + 10 = 34\\l = 34 -10\\[/tex]

[tex]l = 24[/tex] inches

Length of the rectangle is 24 inches

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In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA = [tex]\frac{50-x}{2}[/tex]

[tex]=25-\frac{x}{2}[/tex]

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

[tex]=(25-\frac{x}{2} )+\frac{x}{2} +[/tex] + ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°.

Answer = 155 degrees

If two lines are intersected by a transversal, and the alternate interior angles are equal, then the lines are parallel.

Conversely, if two lines are parallel, then the alternate interior angles formed by the transversal are equal.

So, Ray can made the conclusion that l and m are parallel because alternate interior angles are equal since m∠3 = m∠6.

Ray can conclude that lines l and m are parallel because alternate interior angles are equal.

Ray knows that the measure of angle 3 (m∠3) is equal to the measure of angle 6 (m∠6). When two lines are intersected by a transversal (a line that intersects two other lines), and the corresponding angles on either side of the transversal are equal, it is a characteristic of parallel lines.

In this case:

- Angle 3 and angle 6 are corresponding angles because they are on the same side of the transversal and in the same relative position with respect to lines l and m.

- The fact that m∠3 = m∠6 indicates that lines l and m have corresponding angles that are equal.

Therefore, based on the given information that m∠3 = m∠6, Ray can conclude that lines l and m are parallel because alternate interior angles (corresponding angles) are equal, which is a property of parallel lines.

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Simplify (x+7)(x+4)

Apply FOIL method to multiply the expression

First Outer Inner and Last

First : x * x = x^2

Outer : x * 4 = 4x

Inner : 7 * x = 7x

Last : 7 * 4= 28

Now we write all the terms down and  combine like  terms

[tex]x^2 + 4x + 7x + 28[/tex]

[tex]x^2 + 11x + 28[/tex]

We simplified it completely

[tex]x^2 + 11x + 28[/tex]

Question: The population has decreased by 300 residents over the past 5 years. The same number of residents left each year. What was the change in the town's population each year?

Answer: 300( total residents left) ÷ 5( # of years)= 60

The answer you want would be 60.

The change in the town's population each year is 60.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 300\div 5[/tex]

= 60

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Answer:

5%

Step-by-step explanation:

150,000/100=1500   7500/1500=5

The commission rate of the real estate agent for the home sale is calculated by dividing the commission amount by the total sale price and then converting this into percent. Following these steps, the commission rate was 5%.

The subject of this question falls under Mathematics, specifically the topic of percentages. To find the commission rate of the real estate agent, you need to divide the commission ($7500) by the total sale price ($150,000) and then multiply by 100 to convert it to percent.

Following these steps:

So the real estate agent's commission rate was 5%

.

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1.

-6 / 11 x 3/4 = -9/22

6 x 3 = 18

11 x 4 = 44

18 / 2 = 9

44/2 = 22

It is negative so your answer is A) -9/22

2.

-1/4 x -6/11 = 3/22

1 x 6 = 6

4 x 11 = 44

6 / 2 = 3

44 / 2 = 22

Since there are 2 negatives it becomes a positive. So that makes your answer 3/22.

3.

Your answer is going to be D) The city park has an area of 7/8 square kilometer. The width of the park is 1/3 kilometer. What is the length of the park? because it is multiplying unlike all the other problems which are dividing and subtracting.

4.

You are going to multiply to see how many total minutes it will take to repair the section of the road.

18.3 x 5.1 = 93.33

It will take 93.33 minutes to repair the section of the road.

Hope this Helps!!

Final answer:

The product in simplest form of −6/11 × 3/4 is −9/22, while −1/4 × (−6/11) gives 3/22. The equation 1/3 × 7/8 = m is used to determine how many dog bowls can be filled from a bucket containing 7/8 gallon of water. It takes 93.33 minutes to repair an 18.3 square feet section of road at a rate of 5.1 minutes per square foot.

Explanation:

1. The product in simplest form of −6/11 × 3/4 is calculated by multiplying the numerators together and the denominators together. So, −6 × 3 = −18 and 11 × 4 = 44. The product is −18/44, which simplifies to −9/22 after dividing both numerator and denominator by 2. Therefore, the correct answer is A. −9/22.

2. The product of −1/4 × (−6/11) is found by multiplying the numerators and the denominators separately. −1 × (−6) = 6 and 4 × 11 = 44. The product is 6/44, which simplifies to 3/22 after dividing both numerator and denominator by 2.

3. The story problem that could be solved using the given equation 1/3 × 7/8 = m involves multiplying fractions to find a final value. In option C, Julia has a bucket that contains 7/8 gallon of water, and wants to know how many dog bowls (each bowl holds 1/3 gallon) she can fill. This requires multiplying the two fractions, making option C the correct answer.

4. To find how many total minutes it will take to repair a section of road covering 18.3 square feet, where each square foot requires 5.1 minutes to repair, we multiply 18.3 by 5.1. The calculation is 18.3 × 5.1 = 93.33 minutes. Therefore, it will take 93.33 minutes to repair the section of road.

To simplify this expression would be 5x + 13

To Expand this expression would be 3x + 3 + 2x + 10

3(x + 1) + 2(x + 5)     use distributive property

= (3)(x) + (3)(1) + (2)(x) + (2)(5) = 3x + 3 + 2x + 10    combine like terms

= (3x + 2x) + (3 + 10) = 5x + 13

find his total number of miles: 10,368 + 2,832 = 13,200

subtract from 15000 to see how many more he needs: 15,000 - 13,200 = 1,800

divide by 2 to find the number of dollars: 1800/2 = 900

he'll need to charge $900 to get 15,000 miles.

All points in the shaded area are answers to the inequality.  Thus you need to find the point which is in the shaded area of the graph.

Only the point (3, -1) is within range.  Thus answer D is correct.

Answer:

Option D, (3, -1)

Step-by-step explanation:

In the inequality shown in the graph all the points which lie above the line (in the shaded part) will be the solution.

Option A) (0, -5)

Since this point lies below the line so it is not the solution.

Option B) (0, 0)

It's below the line again therefore not the solution.

Option C) (5, -5)

It lies below the line. Therefore it is not the solution.

Option D. (3, -1)

This point lies on the line therefore satisfies the condition.

Therefore Option D. (3, -1) is the only solution.

Answer:

The sum rule is f' + g'

The difference rule is f' − g'

The product rule is f g' + f' g

The quotient rule is (f' g − g' f )/g2

Final answer:

The basic rules for computing derivatives include the Constant, Power, Constant Multiple, Sum, Difference, Product, Quotient, and Chain rules. These rules are crucial for finding the rate of change of functions and can be applied in various combinations to handle more complex functions.

Explanation:

Basic Derivative Rules

When calculating derivatives, there are several basic rules that are often used. These are foundational tools in calculus that help us find the rate at which functions change. Here's a list of the basic derivative rules:

Constant Rule: The derivative of a constant is zero.

Power Rule: For any real number n, the derivative of xⁿ is [tex]nx^{(n-1)}[/tex]. This rule can be applied multiple times to terms that are added together, yielding the sum of their derivatives.

Constant Multiple Rule: The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.

Sum Rule: The derivative of a sum of functions is the sum of the derivatives of each function.

Difference Rule: The derivative of a difference of functions is the difference of the derivatives of each function.

Product Rule: The derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.

Quotient Rule: The derivative of a quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.

Chain Rule: The derivative of a composite function can be found by taking the derivative of the outer function evaluated at the inner function, and then multiplying it by the derivative of the inner function.

Each of these rules follows our intuition about how functions change and can be confirmed through examples and experiences. We can use these rules to methodically find derivatives of more complex functions.

Allen missed 5 targets.

Hope this helped! :)