Spiral Review It costs $20 for 4 play tickets and $35 for 7 play tickets. Is the cost per ticket constant? Why or why not?
: the ratio of dollars to tickets is

The percent increase in the number of yards is 32.7%

At the end of the football game, Nathan carried the ball for 50.5 yards

At the end of the game, the ball was carried for a total of 75 yards

The percent increase in the number of yards can be calculated dividing the percentage change by the original value and multiplying by 100

= 75 - 50.5/75 × 100

= 24.5/75 × 100

= 0.3266 × 100

= 32.66

= 32.7%

Hence the percent increase in the number of yards is 32.7%

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Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

Answer:

21 mm

Step-by-step explanation:

Given,

Volume of cone ( V ) = 2307.9 mm³

Height ( h ) = 5 mm

To find : Radius ( r )

Formula : -

Volume of cone = πh/3 r²

Note : -

The value of π is 3.14

Volume of cone = πh/3 r²

2307.9 mm³ = 3.14 x 5/3 x r²

2307.9 = 5.23 x r²

Divide 5.23 on both sides,

r² = 2307.9 / 5.23

r² = 441

r² = 21 x 21

r² = 21²

r = 21 mm

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

The 95% confidence interval for the difference in proportions is approximately 0.0957 to 0.4977.

To find the 95% confidence interval for the difference in proportions between Michigan and New York commuters who drove alone to work, we can use the formula:

CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

Where:

p1 and p2 are the proportions of Michigan and New York commuters who drove alone to work, respectively.

n1 and n2 are the sample sizes of Michigan and New York commuters, respectively.

Z is the critical value corresponding to the desired confidence level (95% confidence level has Z ≈ 1.96).

Given:

Michigan: p1 = 78/100 = 0.78, n1 = 100

New York: p2 = 58/120 = 0.4833, n2 = 120

Plugging in the values:

CI = (0.78 - 0.4833) ± 1.96 * sqrt((0.78 * (1 - 0.78) / 100) + (0.4833 * (1 - 0.4833) / 120))

CI = 0.2967 ± 1.96 * sqrt(0.006456 + 0.004074)

CI = 0.2967 ± 1.96 * sqrt(0.01053)

CI ≈ 0.2967 ± 1.96 * 0.1026

CI ≈ 0.2967 ± 0.201

The 95% confidence interval for the difference in proportions is approximately 0.0957 to 0.4977.

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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We have to find the value of sec(π/4).

We start by using its equivalent expression:

Using the unit circle we can find the value of cos(π/4) as:

Then, we can find sec(π/4) as:

Answer: √2 [Third option]

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

the answer is c

Step-by-step explanation:

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

(a)  The corresponding angles are congruent.

So, m ∠ TLC = 66°

(b)  m ∠KGX = m ∠DNK = 120°

"Information available from the question"

In the question:

A graphic artist created a design for a flower using four congruent hexagons as shown:

B P⊥M K, m ∠ M Y F=m ∠ F H B, m° W M C=m ∠ W P T, m ∠G X R=66°, m ∠ D N K=(3 x+18)°, and m ∠ W B R=(5 x-8)°.

The sum of the angles in WKNDSP is 720°.

Now, According to the question:

Part(a) Since the four hexagons are congruent

So, the corresponding angles are congruent.

Thus, m ∠ T L C=  m ∠ 6 x R

Since, m ∠ 6 x R = 66°

So, m ∠ TLC = 66°

Part(b) In WKNDSP

m  ∠KWP + m ∠ WPS + m ∠ PSD + m ∠ SDN + m ∠ DNK + m ∠ NKW = 720°

Since, 1)  B P⊥M K => m ∠KWP = 90°

2) m ∠WPS =m ∠NKW =m ∠WBR = (5x - 8)°

3) m ∠PSD = m ∠DNK = (3x + 18)°

4) m ∠SDN = m ∠GXR = 66°

So, 90 + (5x + 8) + (3x + 18) + 66 + (3x + 18) + (5x - 8) = 720°

90 + 5x + 8 + 3x + 18 + 66 + 3x + 18 + 5x - 8 = 720

176 + 16x = 720

16x = 720 - 176

16x = 544

x = 34

=> m ∠DNK = (3x + 18)° = (3 × 34 + 18)° = 120°

So, m ∠KGX = m ∠DNK = 120°

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

Solutions are x=7 square 2

The solutions of the quadratic equation 98 - x² = 0 are ±7√2.

Quadratic expressions are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

98 - x² = 0

This can be written as,

98 = x², or

x² = 98

Now, taking the square root on both sides,

√x² = √98

x = √98

Write 98 as the product of perfect square.

98 = 49 × 2

√98 = √(49 × 2) = √49 × √2 = ±7√2

Hence the solutions are ±7√2.

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The simplified value of the expression is -7/3 - 2√10/3.

To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given (√2 + √5)/(√2 - √5)

simplifying the expression by rationalization

multiply and divide by (√2 + √5)

= (√2 + √5)/(√2 - √5) x (√2 + √5)/(√2 + √5)

= (√2 + √5)²/((√2)² - (√5)²)

using property (a + b)² = a² + b² + 2ab

= (2 + 5 + 2√10)/(2 - 5)

= -(7 + 2√10)/3 = -7/3 - 2√10/3

Hence the simplified form is -7/3 - 2√10/3.

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The trinomial is given to be:

Rewrite the expression in the form:

Therefore, the expression becomes:

Apply the perfect square formula:

Therefore, the expression becomes:

The correct option is OPTION A.

Answer:

eoeoeoeoooeoeooeoeoeooeoeoooe

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

you have to find the multiplier that gets 3 to equal 60, that would be 20

therefore, you then multiply the numerator by 20 also and get 40

Answer:

Fourth option: y = 2/5x - 3

Step-by-step explanation:

it is perpendicular :)

Answer:

Your answer y=-5/2x + 6

Mark it as brainlist answer. As soon as possible.

Answer:

zev=15/100*56=9.6 pages

Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

if it's 41 and 1 then the answer is 41 but if it's 4 and 1 then the answer is 4

Step-by-step explanation:

you take length times with and so 4 times 1 which is 4 or 41 times 1 which is 41

Answer:

-1 6/10

is greater than

- 5/3

Step-by-step explanation:

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

D, E and F

calculating the volume of regular bodies like prims works by multiplication alone.

you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step

Answer:

18/30 simplified is 3/5

Step-by-step explanation:

Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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