A festival charges $3 for child admission and $5 for adult admision. At the end of the festival they have sold 779 tickets for a total of $2771. Set up and solve a system of equations to find how many child tickets and how many adult tickets were sold.

Answer:

2:14

Step-by-step explanation:

\(\frac{1 \times 2}{7 \times 2} = \frac{2}{14}/2:14\)

Answer:

219

Step-by-step explanation:

let x be the number of full price tickets and y be student/ senior number , then

x + y = 465 → (1)

10x + 8y = 4212 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 10y = - 4650 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = -438

- 2y = - 438 ( divide both sides by - 2 )

y = 219

The number of senior/ student tickets sold was 219

Answer:

22

Step-by-step explanation:

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Answer:

1. B= 6

2. B= 3.333333333

3. B= 12

Step-by-step explanation:

1. 14/ 2 1/3 (two and one third)=6

2. 14/ 4 1/5(four and one fifth)= 3.333333333

3. 14/ 7/6 (seven sixth)= 12

7,5 miles

Step-by-step explanation:

5/x = 38/57

38x = 5 × 57

38x = 285

x = 285/38

x = 7,5 miles

Answer:

Is thIs Indian server??????

Answer:

$512.17

$286.48

$1,958.40

$1,628.85

$56.37

$324.24

$135.55

Note: These calculations were made assuming simple interest. If the interest is compounded, the final amounts will be slightly different.

Step-by-step explanation:

Answer:

When x = 12, y = 4, and z = 2, 8x + 2yz = 112.

Step-by-step explanation:

8x + 2yz

Substitute variables given:

x = 12

y = 4

z = 2

8(12) + 2(4)(2)

Multiply 8 and 12.

96 + 2(4)(2)

Multiply 2 and 4.

96 + 8(2)

Multiply 8 and 2.

96 + 16

Add 96 and 16.

112.

Answer:

\( = > 8(12) + 2(4)(2)\)

\( = > 96 + 8(2)\)

\( = > 96 + 16\)

\( = > 112\)

Answer:

16 / 40 hope it helps you uuuuuuu

Answer:

y = 3x/4 + 3

Step-by-step explanation:

y = mx + b

b = 3

(-4,0), (0,3)

m = 3/4

The equivalent expression for the new price of the item is 0.57b. With b be the original price of the item.

The original price of the item is represented by "b". Paul received a coupon for "43 percent" off one item at a clothing store. This means that the new price of the item will be the "original price" minus the discount. The discount is calculated by multiplying the original price by the percentage discount.
So, the discount is:
43 percent of b = 0.43 * b

The new price of the item is the original price minus the discount:
b - 0.43 * b = b - 0.43b

This expression can be simplified by combining the like terms. The like terms in this expression are b and -0.43b.
To combine like terms, we add the coefficients of the like terms:
1b + (-0.43)b = 0.57b

So, the equivalent expression for the new price of the item is:
0.57b

This means that the new price of the item is 57% of the original price. Therefore, the equivalent expression for the new price of the item is 0.57b.

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Negative, positive, zero, and undefined are the 4 types of slopes from a graph.

Negative Slope: The line goes downward to the right as x increases, where m < 0.

Positive Slope: The line goes upward to the right as x increases, where m> 0

Zero Slope: A horizontal line has a slope of zero, m = 0

For any two points, the y values will be equal to the same real number. The equation will be y = some number. Ex:y=5

Undefined Slope: A vertical line has an undefined slope, m is undefined.

For any two points, the x values will be equal to the same real number. The equation will be x = some number. Ex=6

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The graph G has 30 edges.

To find the number of edges in G, we need to determine all the pairs of vertices that satisfy the adjacency condition. We'll go through each pair of vertices and check if their indices have a gcd of 1.

Starting with v2, we compare it with all other vertices v₃, v₄, ..., v₁₀. Since gcd(2, j) will always be equal to 1 (for j ranging from 3 to 10), v2 is adjacent to all the vertices v₃, v₄, ..., v₁₀. Therefore, v2 has 9 edges connecting it to the other vertices.

Moving on to v3, we need to check its adjacency with the remaining vertices. The gcd(3, j) will be equal to 1 for j values that are not multiples of 3. This means that v3 is adjacent to v₄, v₆, and v₈. Thus, v3 has 3 edges connecting it to the other vertices.

Continuing this process for v₄, gcd(4, j) is equal to 1 only for j = 3 and j = 5. Therefore, v₄ is adjacent to v₃ and v₅, resulting in 2 edges.

For v₅, gcd(5, j) will be equal to 1 for j values that are not multiples of 5. Thus, v₅ is adjacent to v₄ and v₆, giving it 2 edges.

For v₆, gcd(6, j) is equal to 1 only for j = 5. Therefore, v₆ is adjacent to v₅, resulting in 1 edge.

Moving on to v₇, gcd(7, j) will be equal to 1 for all j values since 7 is a prime number. Hence, v₇ is adjacent to all the other vertices, giving it 8 edges.

For v₈, gcd(8, j) is equal to 1 only for j = 3. Therefore, v₈ is adjacent to v₃, resulting in 1 edge.

For v₉, gcd(9, j) is equal to 1 only for j = 2, j = 4, and j = 5. Therefore, v₉ is adjacent to v₂, v₄, and v₅, resulting in 3 edges.

Finally, for v₁₀, gcd(10, j) is equal to 1 only for j = 3. Therefore, v₁₀ is adjacent to v₃, resulting in 1 edge.

Summing up the edges for each vertex, we have:

v2: 9 edges

v3: 3 edges

v4: 2 edges

v5: 2 edges

v6: 1 edge

v7: 8 edges

v8: 1 edge

v9: 3 edges

v₁₀: 1 edge

Adding these numbers together, we find that the total number of edges in graph G is:

9 + 3 + 2 + 2 + 1 + 8 + 1 + 3 + 1 = 30

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The correct conclusion that interprets the results within the context of the hypothesis test is that "We should not reject the null hypothesis because to > tn.(C)

So, at the 10% significance level, the data do not provide sufficient evidence to conclude that the average percentage of tips received by waitstaff in Chicago restaurants is less than 15%."

In hypothesis testing, the null hypothesis assumes that there is no significant difference between the observed and expected data. (C)

The alternative hypothesis suggests otherwise and will be used to determine the significance level. In this case, the average percentage of tips received by waitstaff in Chicago restaurants is less than 15%.

To interpret the result, the t-value is compared to the critical value. When the t-value is greater than the critical value, the null hypothesis is rejected. If the t-value is less than the critical value, the null hypothesis is not rejected. In this case, the t-value is less than the critical value, and thus, the null hypothesis is not rejected.

Therefore, at the 10% significance level, there is no sufficient evidence to conclude that the average percentage of tips received by waitstaff in Chicago restaurants is less than 15%.

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A regular linear regression model is statistically helpful in providing a good fit to the information that can be used to make precise predictions about new information agendas.

A linear regression model is useful when the explanation of a significant amount of variation of the dependent variable utilizes one or more independent variables. The usability of a linear regression model can be comprehended by examining various statistical measures for instance

R-squared value of 1 shows that all of the changes in the dependent variable are elaborated by the independent variable, Hence, an R-squared value of 0 points that none of the variations is elaborated

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Answer:

AB = 10 m

Step-by-step explanation:

Given that <ACB = <ECD, then triangles ABC and EDC are similar.

Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;

\(\frac{x}{6}\) = \(\frac{45}{75}\)

45x = 6 x 75

45x = 450

x = \(\frac{450}{45}\)

x = 10

The height of the solar panel is determined to be 10 m.

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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The answer is 20 because her fence is 200 total so if you do 60 times 2 + 30 times 2 you get 180 200-180 = 20 sorry if i wrong

Answer:

14(ab- 3a)

Step-by-step explanation:

14 times ab is 14ab and 14 times 3a is 42a

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

Answer:

Step-by-step explanation:

Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.

Answer:

The smallest number for n is 8.

Step-by-step explanation:

It is 8 because 40 is a factor of 8.

Is that enough information for you.

Question 9: The specificity of a diagnostic test is the probability that an individual does not have the disease being tested for when they have tested negative. To calculate the specificity of this test, we can use the information provided.

Out of the 100 people tested, 26 have the disease and 74 do not. Among those who have the disease, 23 test positive and 3 test negative. Among those who do not have the disease, 6 test positive and 68 test negative.

Specificity is calculated as the number of true negatives divided by the total number of people without the disease.

In this case, the number of true negatives is 68, and the total number of people without the disease is 74.

Therefore, the specificity of this test is 68/74 = 0.919, rounded to three decimal places.

Question 10: Are testing positive for the disease and actually having the disease independent?

No, because the probability of an individual testing positive is not equal to the probability of them testing positive when they actually have the disease. Independence between testing positive for the disease and actually having the disease would mean that the probability of testing positive is the same regardless of whether an individual has the disease or not.

However, in this scenario, the probabilities are not equal, indicating that testing positive for the disease and actually having the disease are dependent on each other.

Therefore, the correct answer is: No, because the probability of an individual testing positive is not equal to the probability of them testing positive when they actually have the disease.

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Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

6-3/-1-(-2) = 3

y-int is 9 since its given

Adding and subtracting polynomials worksheets assist pupils in becoming acquainted with the idea of polynomial addition and subtraction.

Adding and subtracting polynomial worksheets provide pupils with a platform to access a variety of well-structured problems. Because these worksheets progress in complexity, they are simple to use and allow pupils to reinforce their concepts.

Children must study in accordance with their learning curve, and these worksheets are designed to allow young brains to work at their own speed. These math worksheets also address the logical and reasoning aspects of arithmetic, assisting pupils in real-life situations.

Students may have a better grasp and explore these worksheets more quickly with the aid of pictures. These worksheets' step-by-step approach helps pupils better comprehend ideas and reinforce their comprehension.

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Answer:

y = -x - 1

Step-by-step explanation:

soo since we already know the slope we can subsitute it to the slope form equation

y = mx + b

y = -x + b

now to find the y intercept we have to subsitute the given point

-3 = -(2) + b

-3 = -2 + b

b = -1

Answer:

y = -x - 1

Step-by-step explanation:

Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).

Why? It has a slope of 2, and our answer wants a line with a slope of -1.

y = mx + b

To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).

(2, -3)

y = -x - 1

-3 = -2 - 1

-3 = -3

This statement is true

(2, -3)

y = -x - 3

-3 = -2 - 3

-3 = -5

This statement is false

(2, -3)

y = -x + 2

-3 = -2 + 2

-3 = 0

This statement is false

Therefore, the correct answer is a) y = -x - 1

*View the graph to verity the answer*

Hope this helps!

Given:

The number of times coin flipped is N = 60.

The number of heads is n(H) = 42.

The number of tails is n(T) = 18.

The objective is to find the theoretical probability of coin landing heads up.

Explanation:

The general probability of coin landing heads is,

On plugging the given values in equation (1),

To obtain the percentage of probability,

Hence, the probability of the coin landing heads up is 70%.

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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Answer:

The answer is 1 13/27.

Step-by-step explanation:

First, convert any mixed numbers to fractions --

the initial equations then reads as 5/3 x 8/9.

Then, applying the fractions formula for multiplication --

5 x 8 / 3 x 9

40/27

Simplifying the above --

1 13/27