The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 28 regular gift baskets and 24 deluxe gift baskets, earning a total of $1,188. During the spring musical, they sold 28 regular gift baskets and 13 deluxe gift baskets, earning a total of $836. How much are they charging for the different sized gift baskets?

The drama club is charging $____ for a regular gift basket and $____ for a deluxe gift basket.

Answer:

x < 5

Step-by-step explanation:

\(-6x > 30\)

Multiply by 6 and flip the sign

\(36x < 180\)

Divide by 36

\(x < 5\)

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

The triangle is equilateral , since 3 angles = 60°

Then base AB = 12

Find height CD using the sine ratio in the right triangle ( there are 2 )

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{CD}{BC}\) = \(\frac{CD}{12}\) = \(\frac{\sqrt{3} }{2}\) ← exact value of sin60° ( cross- multiply )

2CD = 12\(\sqrt{3}\) ( divide both sides by 2 )

CD = 6\(\sqrt{3}\)

Then

A = \(\frac{1}{2}\) × 12 × 6\(\sqrt{3}\) = 6 × 6\(\sqrt{3}\) = 36\(\sqrt{3}\) units² → C

The standard parameterization for the tangent line  is x = 12t + 18 , y = 3t + 13 , z = 54t + 54

Equation of this type is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables.

Given that,

Given that, t = t0 = 3, I + (3t + 4) j + (2t 3) k

In order to get the tangent line to the curve at t=3, (x, y, z) = 18, 13, and 54,

r'(t) = 4t, 3, > and r'(t=3) = 12, 3, 54>. (18, 13, 54)

finally,

x = 12t + 18

y = 3t + 13

z = 54t + 54

The tangent line's usual parameterization is as follows:

x=12t+18, y=3t+13, and z=54t+54

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Answer:  f( -2) = 19

Step-by-step explanation:

plug '-2' into every place 'x'  is in

so the new equation would be

f(-2) = (-2)^2 - 2(-2) + 11

and now solve :)

f ( -2) = 4 - ( -4) + 11

f (-2) = 4 + 4 + 11

f ( -2 ) = 19

Answer:

NO

Step-by-step explanation:

From the graph attached,

Equation of the line parallel to x-axis is y = 3.

Since, the line is dotted line, equation will be an inequality (having sign of < or >)

Now shaded region is below the line so equation of the inequality will be,

y < 3

Any point below the dotted line will be the solution of the given inequality.

Therefore, blue dot on the dotted line represented by y = 3 will not be the solution of the inequality.

Answer is NO.

In triangle ABC, with side lengths a = 2.5 cm, c = 3.6 cm, and angle A = 43 degrees, we can use the Law of Sines to solve for the remaining angles and side lengths.

First, let's sketch the triangle ABC. Label side a opposite angle A, side b opposite angle B, and side c opposite angle C.

Using the Law-of-Sines, we have the following ratio: sin(A) / a = sin(B) / b = sin(C) / c.

Given that angle A is 43 degrees, we can calculate sin(A) using a calculator: sin(43) ≈ 0.681.

We can now set up the ratios: sin(43) / 2.5 = sin(B) / b = sin(C) / 3.6.

To find angle B, we can solve for sin(B) using the ratio: sin(B) = (sin(43) / 2.5) * b.

Similarly, to find angle C, we can solve for sin(C) using the ratio: sin(C) = (sin(43) / 2.5) * 3.6.

Using the inverse sine function on a calculator, we can find the values of angle B and angle C.

Keep in mind that the Law of Sines can have multiple solutions. Therefore, when using the inverse sine function, we need to consider both the acute and obtuse angles.

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

                 Simplify using the value of x. 2x/3, x=3.

\(\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

\(\bigstar\) Replace x with 3 and evaluate:-

\(\sf{\dfrac{2(3)}{3}}\)

\(\bigstar\) On simplification,

\(\sf{\dfrac{6}{3}}\)

\(\bigstar\)  Which results in

\(\boxed{\bold{\underline{2}}}\)

\(\rule{300}{1}\)

Answer:

the answer is 2.. ......... .

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

1,000,000

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Hi,

4 + 2x - x = -3x - 4

4 + x = -3x - 4

x = -3x - 8

4x = -8

x = -2

Hope this helps :)

Answer:

4

Step-by-step explanation:

10 * 40%

10 * 0.4 = 4

Answer:

Hi! 40% of 10=4

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

From the equation 3x + 59 = 120, the unit cost of the shirts is $20.33.

An equation is a mathematical statement used to equate two mathematical expressions.

To demonstrate equality, equations use the equation symbol (=).

The total amount spent on new clothes = $120

The number of shirts bought = 3

The cost of the pair of pants bought = $59

Equation of the situation is 3x + 59 = 120,where x = the unit cost of the shirts.

3x + 59 = 120

Subtract 59 from both sides:

= 3x + 59 - 59 = 120 - 59

Simplify both equations:

3x = 61

Divide both sides by 3:

3x/3 = 61/3

x = 20.33

Thus, we can conclude that the equation for the new clothes Jennifer bought at the mall shows that each shirt costs $20.33.

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The Sum of 40 terms of the Arithmetic Sequence is 3,420..

Arithmetic Series is defined as a sum of the terms of arithmetic progression or sequence.

An Arithmetic progression is a sequence of terms in which the difference between two consecutive terms is a constant number.

We have following information about series

sum of 12 terms of an arithmetic series (S₁₂) = 186

the 20th term of arithmetic sequence = 83

i.e., a₂₀ = 83

As we know that nth term of arithmetic progression is aₙ= a + (n-1)d

where , a---> first term of sequence

n ----> nth term

d -----> constant difference between two consecutive terms

put n= 20 in above formula we get,

83 = a + (20-1 )d = a+ 19d ----(1)

Now , Using the sum of n arithmetic terms formula, Sₙ = n/2 ( 2a + (n-1)d)

so, for n = 12

186 = 12/2 ( 2a + 11d ) => 2a + 11d = 31 ---(2)

Solving equations (1) and (2) we get,

27d = 135 => d = 5

putting the value of d in equation (1)

83 = a + 19×5 => a = 83 - 95 = -12

thus sequence is like as -12, -7 , -2 , ------

Sum of first 40 terms of arithmetic sequence (S₄₀) = 40/2 ( 2× (-12) + 39d ) = 20 ( -24 + 39×5)

= 20( 171) = 3,420

So, required result is 3,420..

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Answer: 35000

I hope this helps :) Can I get brainiest ?

Answer:

Diameter Length: ( About ) 5.4 km; Option B

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

radius = ( About ) 2.7

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

Diameter Length: ( About ) 5.4 km

The population is represented by the larger rectangular box, which refers to the income of all home owners in a certain state. The sample is represented by the smaller rectangular box within the population, which specifies the income of home owners in the state who also own a car.

In this scenario, the Venn diagram is used to illustrate the relationship between the population and the sample. The larger rectangular box represents the population, which encompasses all home owners in a certain state. This includes individuals who own a car as well as those who do not own a car.

Within the population, there is a smaller rectangular box that represents the sample. This sample is a subset of the population and consists of home owners in the state who also own a car. It focuses on a specific group within the population, namely those who meet the criteria of being home owners and car owners.

The purpose of using a Venn diagram in this context is to visually demonstrate the relationship between the population and the sample. It shows that the sample is a part of the larger population, and it helps to differentiate the specific subset of individuals being considered.

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Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

<

Step-by-step explanation:

Because 3 < 4

Answer:

its <

Step-by-step explanation:

60.3 is greater than 60.44

If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.

Answer:

9

Step-by-step explanation:

2x3=6 (2+2+2=6)

3x3=9 (3+3+3=9)

Answer:

ans is 9 bro

Step-by-step explanation:

The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

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Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

Answer:

12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the exterior angles are congruent

number of sides = 360° ÷ 30 = 12

Answer:

12.

Step-by-step explanation:

The result of the simplification of the expression  (7 + 3√5) × sin(18°)⁴ is determined as 0.125.

To simplify this problem, we can follow these steps:

Evaluate sin(18°) using a calculator or a trigonometric table. We get sin(18°) ≈ 0.3090.

Raise sin(18°) to the fourth power. We get sin(18°)⁴ = (0.309)⁴

= 0.009117

Multiply (7 + 3√5) by sin(18°)⁴. We get:

(7 + 3√5) × sin(18°)⁴ = (13.708) × 0.009117

Use a calculator to evaluate the product on the right-hand side. We get:

(13.708) × 0.009117 ≈ 0.125

Therefore, (7 + 3√5) × sin(18°)⁴ ≈ 0.125

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the answer for vector is u = -3i + 2j.

To express the vector u = (-3, 2) in component form and as a linear combination of the standard unit vectors i and j, follow these steps:

Identify the given vector
The given vector u is (-3, 2).

Express the vector in component form
The vector is already in component form, as it is represented by a pair of coordinates, (-3, 2). So, the answer for (a) is u = (-3, 2).

Express the vector as a linear combination of i and j
To represent the vector u as a linear combination of the standard unit vectors i and j, we simply multiply each component of the vector by the corresponding unit vector and sum the results. In this case, the unit vector i represents the x-component and the unit vector j represents the y-component.

So, the linear combination of u can be expressed as:

u = (-3)i + (2)j

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A 94.6 L gasoline with a density of 0.680 g/cm^3 has a mass of 64328 g.

Density is defined as the ratio between the mass of a substance and the volume it occupies. Denoted by ρ, density is mass per unit volume and the formula is given below:

ρ =  mass / volume

Converting first the volume from L to cm^3.

1 L = 1000 cm^3

94.6 L = 94.6(1000 cm^3)

94.6 L = 94,600 cm^3

Given the density of the gasoline and its volume, solve for the mass of the gasoline using the formula for the density.

ρ =  mass / volume

0.680 g/cm^3 = mass / 94,600 cm^3

mass = 0.680 g/cm^3 (94,600 cm^3)

mass = 64328 g

mass = 64.328 kg

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Answer:

Yes, it is correct

Step-by-step explanation:

If the temperature did not drop below 60 degrees, that means that it only stayed at 60 degrees or was higher than 60 degrees.

D is greater than or equal to 60 is the right inequality then.

Answer:

I have super sensitive skin and one time I used fancy lotion and I broke out completely. It was embarrassing because you could see dots all over my face.

Step-by-step explanation:

Answer:

Step-by-step explanation:

85/1000 because we said that 1 meter = 1000 mililiters

Divide both sides by 5 and then you have 17/200

then divide both sides by 2 (to get it over 100) =

8.5/100

.085%

Hope that helps!!

You could also just do 85/1000 you would get the same answer!!