Maddy is an event coordinator who helps

raise money for a children's hospital. At

last year's event, she sold 1200 tickets at

$8 each.


Part A: This year Maddy will reduce ticket

prices by 25%. What will be the price of a

new ticket? Explain your reasoning.

D

Part B: Based on the new price, how many

more tickets will Maddy need to sell to

raise the same amount of money as last

year? Explain your reasoning.

Answer:

She sold 82 brownies

Step-by-step explanation:

164 / 2 = 82

82 x 2 = 164

The number of brownies veronica sale is 82 brownies.

We are given that;

Number of brownies made= 164

Now,

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

To find out how many brownies Veronica sold, we need to divide the total number of brownies she made by 2.

This is because half of something means one part out of two equal parts. Using this method, we get:

\($\frac{164}{2} = 82$\)

Therefore, by unitary method the answer will be 82 brownies.

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1. Identify the curve and the point: The curve is y = sec(x), and the point is (π/6, 2√3/3).

2. Calculate the derivative of the curve: The derivative of y = sec(x) is y' = sec(x)tan(x).

3. Evaluate the derivative at the given point: At x = π/6, we have y' = sec(π/6)tan(π/6). Since sec(π/6) = 2 and tan(π/6) = √3/3, we get y' = 2(√3/3) = 2√3/3.(4). Use the point-slope form of the line equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope (derivative).

5. Plug in the values: y - (2√3/3) = (2√3/3)(x - π/6). This is the equation of the tangent line to the curve y = sec(x) at the point (π/6, 2√3/3).

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Answer: sorry i needed points :<

Step-by-step explanation:

Answer:

Expectancy theory

Step-by-step explanation:

We are told that as long as he receives C grades or better, he maintains his current grade point average.

This means that;

There is a large tendency for him to work just hard enough to earn a c grade.

This depicts vrooms expectancy theory of motivation which is defined as a theory whereby a person or persons will act in a particular way just for the sake of what they will gain from exhibiting that particular selected behavior instead of others.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

<C = 54 degrees

b = 123.6

a = 72.6

Step-by-step explanation:

<C = 180 - 90 - 36 = 54 degrees

b = 100/sin54 = 123.6

a = sqrt (123.6^2 - 100^2) = 72.6

A total of 175,760,000 different license plates are possible.

A permutation is a count of the different arrangements which can be made from a given set of things. In permutation the details matter, as the order or sequence is important. Permutation and combination are the methods employed in counting how many outcomes are possible in various situations. Permutations are understood as arrangements and combinations are understood as selections. As per the fundamental principle of counting, there are the sum rules and the product rules to employ counting easily.

According to this, if one event can occur in a ways and a second event can occur in b ways, the second event occurring after the first event did, then the two events can occur in a × b ways.

There are 26 letters in an English language.The license plate has 3 digits.  There are 10 digits from 0 to 10. The license plate has 4 digits.

The number of different license plate numbers that can be formed:

26 x 26 x 26 x 10 x 10 x 10 x 10 = 175,760,000

Thus, a total of 175,760,000 different license plates are possible.

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Simplified Square Root for √240 is 4√15

Step by step simplification process to get square roots radical form: First we will find all factors under the square root: 240 has the square factor of 16. Let's check this width √16*15=√240. Now extract and take out the square root √16 * √15. All radicals are now simplified.

Answer: That answer is correct option A

Step-by-step explanation: doing point giveaways so stay tuned guys!

Answer:

25

Step-by-step explanation:

you would root 125 by 3 and then square (because of the 2) to get 25

125^2/3

125=5x5x5

125=5^3

125^2/3=5^3(2/3)

And 5^3(2/3) is 25

The absolute value function for each vertex is given as follows:

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

y = a|x - h| + k.

The leading coefficient a does not influence the vertex of the absolute value function.

Hence the functions are given at the beginning of the answer, writing the fractions as decimals.

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Answer:

16870

Step-by-step explanation:

Answer: um 16870 I guess

Step-by-step explanation: I hope I help and can you plz give me a brainliest

To find the magnitude and direction of a vector using trigonometry, you can follow these steps:

1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).

2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
  magnitude(A) = √(Ax^2 + Ay^2)

3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
  a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
     angle = arctan(Ay / Ax)
  b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).

4. Convert the direction to degrees or radians, depending on the required format.

Let's consider an example to illustrate these steps:

Suppose we have a vector A with components Ax = 3 and Ay = 4.

1. Identify the components: A = (3, 4).

2. Calculate the magnitude:
  magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

3. Find the direction:
  angle = arctan(4 / 3) ≈ 53.13 degrees.

4. Convert the direction:
  angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.

So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.

Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.

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The z-statistic for this data is 1.15

The Z-test is a statistical test for determining whether the means of two populations differ when the variance is known and the sample size is large. A Z-test is a hypothesis test in which the Z-statistic is normally distributed. A Z-statistic or Z-score is a number that represents the result of a Z-test.

The z statistics is given by:

Z =(X-p)/s

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is s= \(\sqrt{p(1-p)/n}\)

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that X = 13/53 = 0.2453

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that p = 0.184

p = 0.184, n = 53

So 0.816*.184/53

\(s = \sqrt{0.816*.184/53}\) =0.0532

Z-statistic:

Z = (X-p)/s

Z=(0.2453-0.184)/0.0532

Z=1.15

The correct answer is: 1.15

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Answer: B

Step-by-step explanation:

For \(f(x)=3x-\frac{1}{2}\), comparing it with slope-intercept form yields that the slope is \(3\) and the \(y\)-intercept is \(-1/2\).

For the graphed function, the slope is \(\frac{-4-0}{-2-6}=\frac{1}{2}\) and the \(y\)-intercept is about \(-3\).

Since the absolute value of the slope of the graphed function is less than that of \(f(x)\), option B is correct.

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Answer:

Equation of required line is: \(\mathbf{x+3y=-9 }\)

Step-by-step explanation:

We need to find equation for a line that's perpendicular to \(6x-2y=8\) when it passes through (6,-5)

We will use the slope-intercept form: \(y=mx+b\) where m is slope and b is y-intercept.

Finding Slope m:

When two lines are perpendicular there slopes are \(m=-\frac{1}{m}\)

Finding slope of given equation first: \(6x-2y=8\)

Writing in slope-intercept form:

\(6x-2y=8\\-2y=-6x+8\\y=\frac{-6x}{-2}+\frac{8}{-2}\\y=3x-4\)

Comparing it with slope intercept form: \(y=mx+b\) , m= 3

So, slope of given equation is 3

Now, the slope of required equation will be \(m=-\frac{1}{m}\)

So, Slope m=-1/3

Finding y-intercept

Using slope m=-1/3 and point (6,-5) we can find y-intercept

\(y=mx+b\\-5=\frac{-1}{3}(6)+b\\-5=-2+b\\b=-5+2\\b=-3\)

So, y-intercept is b=-3

Now, finding the equation of required line having Slope m=-1/3 and y-intercept b= -3

\(y=mx+b\\y=-\frac{1}{3}x-3\)

Writing in standard form:

\(y=-\frac{1}{3}x-3\\y=\frac{-x-9}{3}\\3y=-x-9\\x+3y=-9\)

So, equation of required line is: \(\mathbf{x+3y=-9 }\)

Answer:

50%

Step-by-step explanation:

(285 - 190) / 190 = 95/190 = .5 or 50%

The LCM of 6, 8, and 45 is 360

Given numbers are 6, 8, 45. We have to find the LCM of given numbers.

The LCM of two or more numbers is the smallest number that is evenly divisible by each of the given numbers without leaving a remainder.

2 |    6 8 45

_______________

2 |    3 4 45

_______________

2 |    3 2 45

_______________

3 |    3 1 45

_______________

3 |    1 1 15

_______________

5 |    1 1 5

_______________

1 1 1

LCM(6, 8, 45) = 2 × 2 × 2 × 3 × 3 × 5

= 360

Therefore, the LCM of 6, 8, and 45 is 360

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Answer:

pentegon

Step-by-step explanation:

The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have coordinates of a polygon, the coordinate plane:

points: (1, 1), (1, 8), (4, 7), and (4, 3)

After, connecting the points to each other.

We will see, after joining the points, the polygon will be a trapezoid.

Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

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Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Step-by-step explanation:

I hope it's help u

Answer:

the answer is B

Step-by-step explanation:

i got your back

Answer:

M = (36.5-8)/5

[M = 5.7 miles/day]

Step-by-step explanation:

The goal is 36.5 miles.  The remaining miles needed to achieve this goal is reduced by the miles already ridden, 8 miles.

(36.5 - 8) = 28.5 miles remaining.

We are asked to find a value for M, which is the average number of miles Ian would have to ride to reach his goal.  By average, we can assume it is the average miles/days remaining.  The days remaining are 5, so we have:

(28.5 miles remaining)/5 days = 5.7 miles/day

An equation for M using these steps would be:

M = (36.5-8)/5

Answer:

7.05

Step-by-step explanation:

Answer: The answer is 7.05m

explanation: Joshua had a piece of rope that was 7.14 meters long he cut off 0.09 meter to practice making knots what was the length of the rope after the cut

Answer:

c

Step-by-step explanation:

4x5=20 4x3=12

Answer:

y=x-5

Step-by-step explanation:

From the stemplot, it can be taken that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

-------------------------------

Thus, we can take that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

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Answer:

Step-by-step explanation:

10 yards by 15 yards

Step-by-step explanation:

Let the dimensions of each plot x yards by y yards.

If three plots are placed as the y-yards side are common to them then,  

The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)

⇒ 3x + 2y = 60 ........... (2)

Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)

Now, solving equations (2) and (4) we get,

⇒ 225 + y² = 30y

⇒ y² - 30y + 225 = 0

⇒ (y - 15)² = 0

⇒ y = 15 yards.

Hence, from equation (4) we get,

x = 150/15 = 10 yards.

Therefore, the dimensions of each plot are 10 yards by 15 yards.

Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.

An explanation of the other options is as follows:

- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.

total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.

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The correct answer is 48 pieces.

To determine the number of pieces that can be cut from the steel sheet, we need to divide the dimensions of the steel sheet by the dimensions of each piece to see how many can fit.

Calculate the number of pieces along the length:

The length of the steel sheet is given as 2400 mm, and each piece has a length of 300 mm. By dividing the total length by the length of each piece, we get 2400 mm ÷ 300 mm = 8. This means we can cut 8 pieces along the length of the steel sheet.

Calculate the number of pieces along the width:

The width of the steel sheet is given as 1200 mm, and each piece has a width of 200 mm. By dividing the total width by the width of each piece, we get 1200 mm ÷ 200 mm = 6. This means we can cut 6 pieces along the width of the steel sheet.

Calculate the total number of pieces:

To find the total number of pieces, we multiply the number of pieces along the length by the number of pieces along the width: 8 pieces × 6 pieces = 48 pieces.

Therefore, the correct answer is 48 pieces.

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Answer:

$21

Procedure:

(6) (2) = 12          (3) (3) = 9

Verification

12 / 2 = 6           9 / 3 = 3