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If two similar solids have volumes of 1715 cm^3 and 320 cm^3.

a. Calculate the ratio of the surface areas

b. If the larger solid has a surface area of 196 cm^2, what is the surface area of the smaller solid.

Answer:

a sutcase with a mass of 2 kg has a weight of 18 newtons on a particular planet what is the acceleration due to gravity on that planet?

Answer: g = 9 m /s²

Step-by-step explanation:

g = w/m

g = 18/2

g = 9 m /s²

Answer:

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

the one of the given point falls to same area ;

Answer:

ok first answer for how much would 4 6 packs of juice would be $14.4 then second is how much would 8 pack of 6 cranberry juice would be $28

8 and last the answer is 3.6

Answer:

4 6 packs would cost 14.4

8 6 packs would cost 28.8

one can would cost 0.6 dollars, or 60 cents.

Step-by-step explanation:

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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Answer:

 5 8 as decimal is: 0.625

Step-by-step explanation:

What is 5/8 as a decimal?

To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 5 by 8 what we write down as 5/8 and we get 0.625

And finally we have:

5/8 as a decimal equals 0.625

Answer:

1 pound of Oranges = $2

1 pound of Bananas = $2

Step-by-step explanation:

O = Oranges

B = Bananas

=> 5o + 2b = 14

=> 2b = 14 - 5o

=> b = 14/2 - 5/2o

=> b = 7 - 2.5o

3o + 6b = 18

=> 3o + 6( 7 - 2.5o ) = 18

=> 3o + 42 - 15o = 18

=> -12o + 42 = 18

=> -12o = -24

=> -o = -2

=> o = 2

One pound of oranges costs $2.

So,

5 (2) + 2b = 14

=> 10 + 2b = 14

=> 2b =4

=> b = 2

One pound of bananas also costs $2.

Answer:

The legs of a right triangle are the two sides that intersect to determine the right angle.The remaining side is called the hypotenuse.

Step-by-step explanation:

Answer:

8 yds

Step-by-step explanation:

The sides have to have the same length

14 yd = 6yd + ?

Subtract 6 from each side

14-6 = 8

8 yds

Answer:

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If the system of linear equations has infinitely many solutions, it means the two lines overlap.

In other words, each point of one of the lines also belongs to the second line.

Choices a, b, c  give us one or no solutions and therefore not the answer.

Choice d is reflecting the infinitely many solutions and hence is the correct one.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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If a window in the model is 1.5 in. wide, then the actual window is  7.5 feet wide.

A two-term ratio expressed with a second term of one is referred to as a unit ratio. A unit ratio can be created from any ratio. Example. An illustration of a set of marbles is shown below. The set has eight blue marbles and two red marbles.

Having a denominator of 1, a unit rate is a ratio between two separate units. Divide the numerator by the denominator to obtain the unit rate. The unit rate is the decimal number that results. The price of a good or service is the numerator of a ratio called the unit price, and the quantity is the denominator.

Given,

The scale of the Model =5 in: 25 ft.

Dividing both sides by 5 we get,

\(\frac{5in}{5}\) :\(\frac{25ft}{5}\)

1 inch:5 feet

If a window on the model is 1.5 inch wide, then from the unit ratio we get,

1 inch × 1.5 : 5 feet × 1.5 feet

1.5 Inch : 7.5 feet

As a result, a window that is 1.5 inches wide in the model will actually be 7.5 feet wide.

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Answer:

G. 12 cm

Step-by-step explanation:

Length of one leg of right triangle = a = 9 cm

Length of hypotenuse = c = 15 cm

Length of the other leg = b = ?

Applying pythagorean theorem, c² = a² + b², we have:

15² = 9² + b²

15² - 9² = b²

144 = b²

b = √144

b = 12

Answer:

I dont see the question

Step-by-step explanation:

soryy

Answer:

it is too blury to read

Step-by-step explanation:

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:58, 1,102,

Step-by-step explanation:

Answer:

88/15

Step-by-step explanation:

2 1/5 * 2 2/3

{(2*5+1)/5} * {(2*3+2)/3}

11/5 * 8/3

88/15

Given multiplication:

{2(1/5) × {2(2/3)} = {(10+1)/5} × {(6+2)/3} = (11/5)×(8/3) = {(11×8)/(5×3)} = (88/15) ≈ 5.8666...(Approximately).

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Answer:

1531 pesos

Step-by-step explanation:

The profit when x=10 is calculated as follows:

P(10) = 10^3 + 5(10^2) + 3(10) + 1 = 1000 + 500 + 30 + 1 = 1531 pesos.

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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The Venn diagram is best for representing information of these sort. The Venn diagram is attached and the answers to the questions are :

Let :

Attend football game = F

Grade paper = P

Household chores = H

FnHnP = 14

FnP only = 29 - 14 = 15

FnH only = 42 - 14 = 28

PnH only = 67 - 14 = 53

From the Venn diagram attached :

The number who planned to grade papers only :

P only = 128 - (15 + 14 + 53) = 46

Number who plan to grade papers or do household Chores:

(FnP)only + (FnPnH) + (PnH)only + (FnH)only + P only + H only

(15 + 14 + 53 + 28 + 15 + 46) = 171

Number who did not plan to do any of the activities :

250 - (69 + 15 + 46 + 28 + 14 + 53 + 15) = 10

Number who planned to do atleast 2 activities :

(FnP)only + (FnPnH) + (PnH)only + (FnH)only

15 + 14 + 53 + 28 = 110

Attend football game and do house chores only :

FnH only = 42 - 14 = 28

Attend football or grade only :

(F only + P only + FnP only )

69 + 46 + 15 = 130

At most one of the activities :

F only + P only + H only + None of the activities

(69 + 46 + 15 + 10) = 140

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Part A: Daiane was known to have sold 5 boxes.

Part B: Manuel as known to have sold  sold 4 boxes.

Part C: Daiane sold a total of =  $40 while  Manuel sold a total of $40.

From the question, take the number of boxes Daiane sold as 'x'.

Note that she sells each box for $8, Hence the total dollar amount she sold is  8x.

Also take the number of boxes Manuel sold is 'y' because he sells each box for $10, so the total dollar amount he sold is = 10y.

Since  the total dollar amount Diane sold is equal to the total dollar amount Manuel sold. the equation will bw:

8x = 10y

Then one can  simplify the equation, by  dividing both sides by the greatest common divisor (GCD) of 8 and 10, that is 2:

(8x)/2 = (10y)/2

4x = 5y

So the possible solution is that

x = 5

y = 4.

So one can say that:

Part A: Daiane sold 5 boxes.

Part B: Manuel sold 4 boxes.

Part C: Daiane sold a total of :

= 8 x  5

= $40

Manuel sold a total of :

= 10 x  4

= $40

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Diane  sells boxes of cookies for $8 each. Manuel sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible. Answer the following questions.

Part A : How many boxes did Daiane sell?

Part B : How many boxes did Manuel Sell?

Part C : What was the dollar amount each of them sold?

Answer: In five months,she will save the same money which is $250.

Step-by-step explanation:

Using the first statement we can generate the function y=10x + 200  and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.

y = 10x + 200

y = 30x + 100  

Substitute the value of x in the first equation into the second equation.

30x + 100= 10x + 200   now solve for x

         -100            -100

30x = 10x + 100

-10x    -10x

20x = 100

x= 5  

This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for  y.

y = 10(5) + 200

y = 50 + 200

y = 250  

She will save $250 with either option.

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

To find,

The gain percent

Solution,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

\(\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%\)

So, the profit percentage is 33.34%.

Answer:

33

Step-by-step explanation: