Dapper Dan's Dancing School charges $85 for enrollment plus $6 per class, whereas Leaping Larry's Dancing School charges $40 for
enrollment plus $12 per class. For how many classes will Leaping Larry's Dancing School be more expensive?

A:Seven or fewer classes
B:Seven or more classes
C:Eight or fewer classes
D:Eight or more classes

Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.

1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).

Step 1: Set up the equation using the given information.

One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:

Reciprocal of the original number + 1 = $\frac{7}{3}$

Step 2: Solve for the reciprocal of the original number.

Reciprocal of the original number = $\frac{7}{3}$ - 1

Step 3: Simplify the equation.

Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$

Reciprocal of the original number = $\frac{4}{3}$

Step 4: Find the original number.

Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:

Original number = $\frac{1}{(\frac{4}{3})}$

Step 5: Simplify the expression.

Original number = $\frac{1}{1} \times \frac{3}{4}$

Original number = $\frac{3}{4}$

The original number expressed as a common fraction is $\frac{3}{4}$.

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Answer: .1104

Step-by-step explanation: edg 2021 said so

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

25% = 1/4 of 100

100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200

If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.

50... ok......

50 = 25%

Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people

So, if 25-15=10

and then 5% = 10 people

5%+5%=10

10+10=20

That means, that 20 people more liked the movie than disliked it.

Answer:

f(-1) = 0 and f(4) = 0

Step-by-step explanation:

look at graph to see what point(s) is/are intersecting the y-axis, then use the y-value of the ordered pair

Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

Begin by using the trigonometric identity:

\(\boxed{\tan(A+B) = \dfrac{\tan A + \tan B}{1 - \tan A \tan B}}\)

Given that A + B = π/4, then:

\(\tan\left(\dfrac{\pi}{4}\right) = \dfrac{\tan A + \tan B}{1 - \tan A \tan B}\)

Since tan(π/4) = 1, we can simplify the equation to:

\(1= \dfrac{\tan A + \tan B}{1 - \tan A \tan B}\)

Multiply both sides by (1 - tan A tan B):

\(1 - \tan A \tan B=\tan A + \tan B\)

Add tan A tan B to both sides of the equation:

\(1=\tan A +\tan B+ \tan A \tan B\)

Rearrange:

\(\tan B + \tan A\tan B+\tan A=1\)

Add 1 to both sides of the equation:

\(\tan B + \tan A\tan B+1+\tan A=2\)

Factor out the common term tan B from the first two terms:

\((1+\tan A)\tan B+1+\tan A=2\)

Rewrite as:

\((1+\tan A)\tan B+1(1+\tan A)=2\)

Factor out the common term (1 + tan A):

\((1+\tan A)(1 + \tan B)=2\)

Therefore, we have shown that (1 + tan A)(1 + tan B) = 2 when A + B = π/4.

We discovered that the number is \(-8\) by solving the \(32/(14-6)+9-7*3\) above equation.

Finding a slope between two points along a line and then solving again for y-intercept inside the slope-intercept formula \(y=mx+b\) allow us to build an equation for the that line. The line passing between the coordinates \((-1,6)\) and is represented by an equation in this example \((5,-4)\).

\(Ax+By=C\) is the usual form for two-variable linear equations. A typical form linear equation is, for instance, \(2x+3y=5\). When a solution is provided in this format, finding both intercepts is rather simple (x and y).

\(32/(14-6)+9-7*3\)

\(= 32/ 8 + 9 - 21\)

\(= 4 +9 -21\)

\(= 13 - 21\)

\(=-8\)

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The complete and the correct form of question is:

\(32/(14-6)+9-7*3\) solve the given equation?

Answer:

It is 63 cm

Step-by-step explanation:

Take 28/4 = 7. That is what1 equals in the proportion. So, we take 2 x 7, 3 x 7, and 4 x 7. Then you just add the sides together and it equals 63 cm.

Answer: 63

Step-by-step explanation:

In the ratio, the longest side is 4. 4x7 is 28, so to make the ratios proportional again, you multiply all the sides by 7, getting 14:21:28.

These are the side lengths of the triangle, and to find the perieter you add all of them up, getting 63.

Hope this helps :)

a. It will take 392 minutes for just 1 machine to produce same batch.

b. it will take 49 minutes for 8 machines to produce same batch.

a) To get minutes its take for just 1 machine, we will use the following formula:

Time = (Number of machines * Original time) / New number of machines

Time = (7 * 56) / 1

Time = 392 / 1

Time = 392 minutes

b. To get minutes its take for just 8 machine, we will use the following formula:

Time = (Number of machines * Original time) / New number of machines

Time = (7 * 56) / 8

Time = 392 / 8

Time = 49 minutes.

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Answer:

500cm or 5 meters

Step-by-step explanation:

The ratio of drawing and field is 1:90.

So we have to make 450 m into cm.

450 -> is 45,000

Now we can make 2 fractions,

\(\frac{1}{90}=\frac{x}{45000}\)

Cross multiply

90*x = 90x

1*45000 = 45000

90x = 45000

Divide 90 to both sides

x = 500cm

Thus,

the drawing's field is 500cm or 5m long.

Hope this helps :)

Answer:

A: discrete data — because number of bottles can only be whole numbers and thus discrete

B: continuous data — time is a continuous variable

C: qualitative data — there are categories of different sports so this is qualitative.

Answer:

he get 12 an hour

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

v=l*w*h so 2^3=8

The value of the standard deviation depends on the value of the mean.

As per the given data, we have to determine that the value of the standard deviation depends on the value of the mean

Yes, the value of the standard deviation depends on the value of the mean.

Because you have to know the mean to calculate the standard deviation.

The size of the standard deviation of a data set depends on what the mean is because the calculation of the mean is essential for calculating Standard Deviation.

The standard deviation determines how much the values deviate from the mean.

Besides, Standard deviation in simple terms means the deviation of data from the Mean.

The most popular way to assess dispersion is standard deviation, which is based on all values. As a result, even a small change in one value can modify the standard deviation's value.

Hence, Standard Deviation depends on the Mean.

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To find the volume of a triangular prism, you will need to use the formula V = (1/2)bhL, where V is the volume, b is the base of the triangular prism, h is the height of the triangular prism, and L is the length of the triangular prism.

Here is a step-by-step explanation on how to find the volume of a triangular prism:

Step 1: Find the base of the triangular prism. This will be one of the sides of the triangular base.

Step 2: Find the height of the triangular prism. This will be the distance from the base to the opposite vertex.

Step 3: Find the length of the triangular prism. This will be the distance between the two triangular bases.

Step 4: Plug in the values for the base, height, and length into the formula V = (1/2)bhL.

Step 5: Simplify the equation to find the volume of the triangular prism.

For example, if the base of the triangular prism is 4, the height is 3, and the length is 6, the volume would be:

V = (1/2)bhL

V = (1/2)(4)(3)(6)

V = 36

So, the volume of the triangular prism is 36.

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Answer:

B. 320 inches cubed

Step-by-step explanation:

A pyramid's volume is denoted by: V = (1/3) * B * h, where B is the base area and h is the height.

Here, the base is a rectangle with dimensions 10 inches by 8 inches. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. The length is 8 and the width is 10, so plug these in:

A = lw

A = 8 * 10 = 80

So, we know that B = 80.

We are also given that the height is h = 12, so plug these values into the volume formula:

V = (1/3) * B * h

V = (1/3) * 80 * 12 = 320

The answer is thus B.

Answer:b

Step-by-step explanation:

The expected value of a random variable x cannot be referred to or denoted as as a specific term or symbol.

Typically denoted as E[X] or μ, the expected value signifies the average or mean value we can expect to obtain from repeated sampling of the random variable.

The expected value of a random variable captures the central tendency or average behavior of the variable. It is derived by summing the products of each potential value of the random variable and its corresponding probability. This mathematical computation provides a measure of the typical outcome or the anticipated value that would arise from multiple iterations of the random experiment or observation.

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Let length of the rectangle be l

Let witdth of the rectangle be b.

Perimeter = 2*(l+b)

Given

2*(l+b) = 52. ------------(1)

Now length is an odd integer. Let it be represented as

l = 2k+1 , where k is a positive integer

Given width of the rectangle is the 3 times next consecutive odd integer( next in reference to l = 2k+1)

So b = 3*(2k+3), where k is a positive , integer

From (1) we get

2[2k+1 + 3*(2k+3)] = 52

2[2k+1 + 6k +9] = 52

2[8k +10] = 52

4[4k +5] = 52

4k + 5 = 13

4k = 8

k = 2

so length (l) = 2k +1 = 2*2 + 1 =5 cm

width b = 3(2k +3) = 3(2*2+3) = 21 cm

Answer:

Step-by-step explanation:

dock is 12 ft tall

boat is 16 ft from dock

how long is the rope?

The dimensions form a right tringle.

Use Pythagorean,

a² + b² = c²

12²  +  16² = c²

144 +  256 = c²

400 = c²

√400 = √c²

20 = c

The rope is 20 ft long.

The length of the rope connecting the boat to the dock is approximately 20 feet. This can be answered by the concept of Pythagorean theorem.

To calculate the length of the rope, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the rope is the hypotenuse, and the distance between the boat and the dock (16 feet) and the height of the dock (12 feet) are the other two sides. So we have:

Rope length² = 16² + 12²

Rope length² = 256 + 144

Rope length² = 400

Rope length = √400 = 20 feet

Therefore, the length of the rope connecting the boat to the dock is approximately 20 feet

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By using percentage, it can be calculated that

Take home pay for Ginny Jones when her salary for $650 is $436.025

Take home pay for Ginny Jones when her salary for $755 is $476.05

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 2% means 2 is expressed as a fraction of 100.

Here, the concept of percentage has been used.

Salary of Ginny Jones = $650

Rate of income tax = 15%

Income tax = \(\frac{15}{100}\times 650\)

                   = $97.5

Her group health plan contribution is

$24. 50 per pay period

She belongs to the company retirement plan, to which she contributes 6.5% of her earnings.

Amount given to the retirement plan = \(\frac{6.5}{100} \times 650 =\) $42.25

She is also covered under Social Security benefits. Her current contribution is 7. 65%.

Amount given = \(\frac{7.65}{100} \times 650\)

                        = $49.725

Her take home pay per period = $(650 -(97.5 + 24.5 + 42.25 + 49.725))

                                                   = $436.025

Again,

Salary of Ginny Jones = $(650 + 55) = $705

Rate of income tax = 15%

Income tax = \(\frac{15}{100}\times 705\)

                   = $105.75

Her group health plan contribution is

$24. 50 per pay period

She belongs to the company retirement plan, to which she contributes 6.5% of her earnings.

Amount given to the retirement plan = \(\frac{6.5}{100} \times 705\)  = $45.825

She is also covered under Social Security benefits. Her current contribution is 7. 65%.

Amount given = \(\frac{7.65}{100} \times 705\)

                        = $52.875

Her take home pay per period = $(650 -(105.75 + 24.5 + 45.825 + 52.875)  

                                                   = $476.05

= Rs. 15000

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Answer:

2y=-x+11

Step-by-step explanation:

Deep foundations are recommended for larger or hillside developments , or those on poor soil .

Foundation Systems in Building

There are two classifications of foundations in building shallow foundations and deep foundations . These categories refer to the depth of soil in which the foundation is formed .

Shallow Foundations : Shallow foundations are usually located less than six feet below the lowest finished floor of a structure.

Deep Foundations : Deep foundations are structural elements that are used to transfer loads from weak and compressible soils to a stronger layer, usually located at a significant depth below the ground.

Recommendation

A shallow foundation can be constructed in as little as a one-foot depth , whereas a deep foundation is formed at a depth of 10 - 300 feet . Deep foundations are recommended for larger or hillside developments , or those on poor soil .

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Answer:

Step-by-step explanation: A shallow foundation distributes loads from the building into the upper layers of the ground.

Shallow foundations perform very well on sites with strong soils, sufficiently thick natural gravel rafts overlying weaker soils or where robust, engineered ground improvement is carried out.

Deep foundations can provide a good foundation for houses on sites with poor soil conditions near the surface,

Answer:

it's 25, just did it

Step-by-step explanation:

1 /2  o f  ( − 10 ) =  − 5 ,  ( − 5 )^ 2  =  25

Answer:

C. 25

Step-by-step explanation:

Answer:

49.5

Step-by-step explanation:

you multiply the height and base then divide that awnser by 2

Answer:

D. 296.00 LBS

Step-by-step explanation:

We convert both heights to inches.

1 ft = 12 in.

5 ft 3 in = 5 × 12 in. + 3 in. = 63 in.

6 ft = 6 × 12 in. = 72 in.

\( \dfrac{63~in.}{259~lb} = \dfrac{72~in.}{x} \)

\( \dfrac{63x}{259} = 72~lb \)

\( x = \dfrac{259 \times 72~lb}{63} \)

\( x = 296~lb \)

Answer: D. 296.00 LBS

Answer:

Correct Answer:A sample size greater than 25

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation: since the 1.5 is suppose to be on the x axis, you plot the point between 1 and 2. Ten you go down to the y axis since it is negative and plot it between -2 and -3.

click the file below to see the answer:

The relationship between the median and the mean scores is the mean is greater than the median. (option c).

Mathematically speaking, the relationship between the median and the mean can vary depending on the distribution of the data. In a symmetrical distribution, where the data is evenly distributed around the center point, the mean and median will be equal.

Conversely, if the data is skewed to the left, meaning there are a few low values that pull the average down, the mean will be less than the median.

In summary, the relationship between the median and the mean depends on the distribution of the data. If the data is symmetrical, the median and mean will be equal. If the data is skewed, the mean will be pulled towards the direction of the skewness, while the median represents the midpoint of the data regardless of the skewness.

Hence the option (c) is correct.

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To convert grams to moles per gram, you need to find the molar mass of the substance in grams per mole. Then, divide the number of moles by the given mass to get moles per gram.

To convert grams to moles per gram, you first need to determine the molar mass of the substance you are interested in. The molar mass is the mass of one mole of the substance, expressed in grams. Once you know the molar mass, you can use it to convert grams to moles, and then divide by the total mass to get moles per gram.

Here are the steps to follow:

Determine the molar mass of the substance. This is the sum of the atomic masses of all the atoms in the molecule, expressed in grams per mole. You can find the atomic masses on the periodic table.

Convert the given mass from grams to moles, using the formula:

moles = mass / molar mass

where mass is the given mass in grams, and molar mass is the calculated molar mass in grams per mole.

Divide the number of moles by the given mass, to get the moles per gram. This gives you the number of moles of the substance per gram of the sample.

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