In a 2-card hand, what is the probability of holding 2 kings?

Answers

Answer 1

A pack of cards has 52 cards, 4 of which are kings, so the probability of the first card being a king is (4/52). Since you have already chosen a card, there are only 51 cards left to choose from in the entire deck (the first card is not counted anymore because it has already been pulled from the deck), and since the card you chose was a king, you are left with only 3 more kings, meaning that the probability of the second card being a king is (3/51). Since we are interested in both happening simultaneously, we must multiply the probability of the first by the probability of the second: (4/52) • (3/51), which leaves us with: * 12/2,652 or 0.0045249 *

Answer 2
Final answer:

To find the probability of holding 2 kings in a 2-card hand, you need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 6 favorable outcomes out of 1,326 possible outcomes, resulting in a probability of approximately 0.0045 or 0.45%.

Explanation:

To find the probability of holding 2 kings in a 2-card hand, we first need to determine the total number of possible 2-card hands that can be dealt from a standard 52-card deck. The number of combinations of choosing 2 cards from 52 is given by the formula C(52, 2) = 52! / (2! * (52-2)!) = 1,326.

Next, we need to determine the number of favorable outcomes, which is the number of ways to choose 2 kings from the 4 kings in the deck. This can be calculated as C(4, 2) = 4! / (2! * (4-2)!) = 6.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: P(2 kings) = 6/1,326 ≈ 0.0045 or 0.45%.


Related Questions

A chili recipe makes enough for 4 servings. The recipe calls for 5 tomatoes. You plan on making enough chili for 10 servings. How many tomatoes will you use?

Answers

Answer: 12.5 tomatoes

Step-by-step explanation:

You know that the recipe for 4 servings requires 5 tomatoes and you want to make chili for 10 servings. Therefore, to calculate the amount of tomatoes required for this, you should use the following conversion factor:

[tex]\frac{5\ tomatoes}{4\ servings}[/tex]

Now multiply the conversion factor by the 10 servings:

[tex]=(10\ servings)(\frac{5\ tomatoes}{4\ servings})\\=12.5\ tomatoes[/tex]

Therefore, you will use 12.5 tomatoes to make 10 servings.

Answer:

Tomatoes for 10-servings = 12.5

Step-by-step explanation:

Given

Number of tomatoes for 4 servings = 5

So we can calculate the number of tomatoes for one serving by dividing the serving by number of tomatoes.

So,

Number of tomato for one serving = 5/4

= 1.25

Now we can calculate the number of tomatoes for 10 servings

Number of tomatoes for 10 servings = Number of tomatoes for one serving * 10

= 1.25 * 10

= 12.5 tomatoes

Shown here is the street map of a particular area. Which street appears to NOT be perpendicular to street B?


A.Street A
B.Street D
C.Street E
D.Street F

Answers

I think C, but I may be wrong :/

Answer:

The awnser is Street A

Step-by-step explanation:

find the axis of symmetry and vertex for the following equations. y=-x^2-4x+1​

Answers

Answer:

hello :

the axis of symmetry  is the line wher an equation is : x =2

the vertex is : (  2 ; 5 )

Step-by-step explanation:

write this expression in the vertex form :

y=-x²-4x+1​

y = - ((x² +4x +4) -4) +1

y = - (x -2)²+5

the axis of symmetry  is the line wher an equation is : x =2

the vertex is : (  2 ; 5 )

A parking lot has the shape of a rectangle with two isoceles right trangles ( one one each end). What is the area of the parking lot if the rectangle 's dimensions are 45ft by 100ft? A) 5512.5 ft^2 B) 6525 ft^2 C) 8550 ft^2 D) 10012.5ft^2

Answers

Answer:

Area of the parking lot = 6525 ft²

Explanation:

Since the two isosceles right-angled triangles have equal bases and heights, therefore, their areas are equal

Therefore:

Area of the parking lot = area of rectangle + 2*area of isosceles triangles

1- getting the area of the rectangle:

Area of rectangle = length * width

We are given that the dimensions of the rectangle are 45 ft and 100 ft

Therefore:

Area of rectangle = 45 * 100 = 4,500 ft²

2- getting the area of the isosceles triangle:

Area of triangle = 0.5 * base * height

From the drawing, we can note that:

base of triangle = height of triangle = smaller side of the rectangle = 45 ft

Therefore:

Area of triangle = 0.5 * 45 * 45 = 1,012.5 ft²

3- getting the total area:

Total area of parking lot = area of rectangle + 2*area of isosceles triangles

Total area of parking lot = 4500 + 2(1012.5)

Total area of parking lot = 6,525 ft²

Hope this helps :)

I NEED HELP

a33=

A. 1
B. 6
C. 8

Answers

Answer:

The correct answer is option A.  1

Step-by-step explanation:

Points to remember

An element in a matrix is represented by Eₐₓ

It means that the element in ath row and xth column

From the figure we can see that a 4 x 4 matrix.

To find element a₃₃

From the given matrix we get a₃₃

a₃₃ means element in 3rd row and 3rd column

Here a₃₃ = 1

Therefore the correct answer is option A.  1

The school soccer coach records the number of goals some players have scored so far this season. The dot plot of the number of goals is shown below.


What is the mean absolute deviation of the data set?


Identify all of the striking deviations.

Answers

Answer:

the means absolute deviation is 1.8

the striking deviation is 7

(it is because the data point on the far right of the graph)

Step-by-step explanation:

calculate the absolute deviation:

1.  calculate the mean (add all numbers and divide by 10) = 2.6

2.  find the absolute value of each

2.6 - 0 = 2.6

2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)

2.6 - 3 = 0.4

2.6 - 4 = 1.4 (you have 4's 3 times)

2.6 - 7 = 4.4

3.  Then add all of those values together

2.6 + 1.6 + 1.6 + 1.6 +  1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18

4.  find the mean of the difference

18/10 = 1.8

Answer:

1.8 and 7, just like the other person said<3

Step-by-step explanation:

What number is 20 less than 150% of 80

Answers

Answer:

100

Step-by-step explanation:

"What number" means a variable, like x.

"Is" means equals.

"Less than" means subtracted from.

Percent means out of 100.

"Of" means multiplication.

x = (150/100) 80 - 20

x = 120 - 20

x = 100

solve the following quadratic equation for x by completing the square and solve x^2-8x=-65​

Answers

Answer:

x= 4-7i  x= 4+ 7i

Step-by-step explanation:

step 1 : make equation = 0

[tex]x^{2}[/tex] - 8x + 65 = 0

step 2 : solve for x [ using the quadratic equation]

ie :     x = -b ± [tex]\sqrt{b^{2}-4ac}[/tex] / 2a

so it will look like this

x= -(-8) ± [tex]\sqrt{(-8)^{2} - 4(1)(65)}[/tex] /2(1)

when you simplify you wont be able to root the -196 so you will have to separate the roots

x = 8 ±( [tex]\sqrt{-1}[/tex] )( [tex]\sqrt{196}[/tex]) / 2

now there is a rule for negative roots whereby  [tex]\sqrt{-1}[/tex] is equivalent to i so now you will change [tex]\sqrt{-1}[/tex] into i

Simplify [tex]\sqrt{196}[/tex]

which will give you 14

now place all the new values into the formula

8 ± 14i /2

you can then further simplify to  

4 ± 7i

step 3 : separate

this will give you the final answer of

x= 4 + 7i   x= 4- 7i

Answer:

x = 4+7i and x=4-7i

Step-by-step explanation:

I just did the test

Identify the graphs.......

Answers

Answer:

The Answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Equation of a circle: (x - h)² + (y - k)² = r

h is the x-coordinate of the center, and k is the y-coordinate.

Here, h is 3 and y is -2.

So, we find the circle which has the center of (3, -2).

That is D, because the center is 3 to the right and 2 down from the origin.

Given the functions ƒ(x) and g(x), which of the following statements is true?

Answers

If you are referring to the question in the attachment, the answer is the one I have selected!

Or "f(x) has the greater maximum."

Hope this helps

Jason ran 4 miles in 30 minutes. Which of the following is an equivalent rate of running?
A. 6 miles in 50 minutes
B. 3 miles in 20 minutes
C. 10 miles in 75 minutes D. 8 miles in 80 minutes

Answers

Answer:

c

Step-by-step explanation:

30 divided by 4 = 7.5

75 divided by 10 = 7.5

The answer is C. Jason goes 2 miles per every 15 minutes. If Jason goes 10 miles you would multiply 15 by 5 and that is 75.

Find the measure of the central angle that you would draw to represent 20% in a circle graph.
A. 18°
B. 60°
C. 72°
D. 20°

Answers

Answer:

C

Step-by-step explanation:

The central angle is 20% of 360°, that is

central angle = [tex]\frac{20}{100}[/tex] × 360° = 0.2 × 360° = 72° → C

Answer:

Find the measure of the central angle that you would draw to represent 20% in a circle graph.

A. 18°

B. 60°

C. 72°

D. 20°

Step-by-step explanation:

The central angle is 20% of 360°

20 % of 360 = 72°

50 POINTS + BRAINLIEST

Use the net to find the surface area of the prism.

A. 22 m^2
B. 276 m^2
C. 522 m^2
D. 968 m^2

Answers

Answer:

522 [tex]m^2[/tex]

Step-by-step explanation:

To find the surface area, we can find the area of each shape in the net.

There are 2 identical triangles and 3 different rectangles. Then we can add all of these areas together

[tex]2(\frac{1}{2} (9)(14))=126\\\\(10)(14)=140\\\\(10)(16.6)=166\\\\(9)(10)=90\\\\126+140+166+90=522[/tex]

Use the distributive property to simplify this expression -(5-3v)

Answers

Hey there!

First, the minus sign is equal to -1 (in this case)

Now, let's distribute -1 by multiplying it times 5 and -3v:

-5+3v

or

3v-5

Both expressions are equivalent (equal to each other)

Hence, the answer is

[tex]\boxed{\boxed{\bold{3v-5}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions.

#LearningDoesn'tEnd

Final answer:

To simplify the expression -(5-3v) using the distributive property, distribute the negative sign to each term inside the parentheses and combine like terms.

Explanation:

To simplify the expression -(5-3v) using the distributive property, we need to distribute the negative sign to each term inside the parentheses. This means we will multiply -1 by both 5 and -3v.

The distributive property states that for any numbers a, b, and c, a(b + c) is equal to ab + ac. Applying this property to our expression, we get -(5) - (-3v), which simplifies to -5 + 3v.

Therefore, the simplified expression is -5 + 3v.

Learn more about Distributive property here:

https://brainly.com/question/37341329

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Find the surface area of the regular pyramid.​

Answers

It would be 170.1

Steps:

Each triangle side: 10 × 9 = 90 × 0.50 = 45

Since there are three sides: 45 × 3 = 135

Bottom triangle: 9 × 7.8 = 35.1

135 + 35.1= 170.1

Please mark as Brainliest! :)

Answer:

170.11

Step-by-step explanation:

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Solve the inequality |x| < 5.

{x|-5 < x < 5}
{x|x < -5 ∪ x > 5}
{x|x -5 ∪ x < 5}

Answers

Hello!

The answer is:

{-5<x<5}

Why?

To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.

We are given the inequality:

[tex]|x|<5[/tex]

So, we know that "x" will be between -5 and 5:

[tex]-5<x<5[/tex]

Hence, the solution of the given inequality will be:

(-5,5) or {-5<x<5}

Have a nice day!

Answer:

{x|-5 < x < 5}

Step-by-step explanation:

I got the answer right.

Which number is a constant in the algebraic expression?
-x*2*-6y+13x+7
-6
-1
7
13

the ** means to the power of

Answers

Answer:

7

Step-by-step explanation:

The given algebraic expression is;

[tex]-x^2-6y+13x+7[/tex]

This is an algebraic expression in x and y.

Any term that is independent  of these two variables is called the constant term.

The term '7' is independent  of these variables.

Hence the constant term is 7.

The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam one fourth
foot​ wide, one third
foot​ high, and 12 feet long can support 30 ​tons, find how much a similar beam can support if the beam is one fourth
foot​ wide, one half
foot​ high, and 12 feet long.  

Answers

[tex]\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}[/tex]

[tex]\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}[/tex]

[tex]\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}[/tex]

Using the joint variation, A similar beam can support [tex]67 \frac{1}{2}[/tex] feet if the beam is one-fourth foot wide and half a foot high, and 12 feet long.

What is Proportion

A proportion is an equation stating that two rational expressions are equal. Simple proportions can be solved by applying the cross products rule.

If [tex]\frac{a}{b} = \frac{c}{d}[/tex] then ab = bc.

What is Direct variation?

The phrase y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y. That concept can be translated in two ways.

[tex]\frac{y}{x} = k[/tex] for some constant k.

The k is called the constant of proportionality. This translation is used when the constant is the desired result.

What is Inverse Proportion?

According to the expressions "y varies inversely as x" and "y is inversely proportionate to x," y decreases as x increases or vice versa. There are two translations for this idea. For any constant k, referred to as the constant of proportionality, yx = k. If the constant is wanted, use this translation.

What is Joint Variation?

Joint variation is the term used to describe when one variable changes as the sum of other variables. There are two translations for the phrase "y fluctuates concurrently as x and z."

So, In the given question:

Weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length;

It is in joint proportion;

[tex]\begin{aligned}&\mathbf{W}=\frac{\mathbf{w h}^2}{\mathbf{L}} \\&\left\{\begin{array}{l}w=\frac{1}{4} \\h=\frac{1}{3} \\L=12 \\W=30\end{array} \quad \Longrightarrow 30=\frac{\mathbf{k} \frac{1}{4}\left(\frac{1}{3}\right)^2}{12}\right.\end{aligned}[/tex]

[tex]360=\frac{\mathrm{k}}{36} \Longrightarrow 12960=\mathrm{k}[/tex]

Now,

[tex]\text { when }\left\{\begin{array}{l}w=\frac{1}{4} \\h=\frac{1}{2} \\L=12\end{array}\right.[/tex]

[tex]W=\frac{12960\left(\frac{1}{4}\right)\left(\frac{1}{2}\right)^2}{12}[/tex]

[tex]W=1080\left(\frac{1}{4}\right)\left(\frac{1}{4}\right) \\\Longrightarrow W=1080 \cdot \frac{1}{16}[/tex]

[tex]\\\Longrightarrow\mathrm{W}=\frac{135}{2} \\\Longrightarrow \mathrm{W}=67 \frac{1}{2}[/tex]

Hence, A similar beam can support [tex]67 \frac{1}{2}[/tex] feet if the beam is one-fourth foot wide and a half a foot high, and 12 feet long.

To learn more about joint variation visit the below link:

https://brainly.ph/question/9288542

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A square has a length 6√6 inches. What is the area of the rectangle?
1.) 36√6 square inches
2.) 36 square inches
3.) 216 square inches
4.) 216√6 square inches
Please if you answer can you explain how to solve for both perimeter and area?!?!

Answers

Answer:

c. 216 inches

Step-by-step explanation:

6*6=36

Root 6 times root 6=6

36 times 6 is 216

Answer:

Area of square= 216 square inches

Perimeter  of square [tex]= 24\sqrt{6}[/tex] inches.

Step-by-step explanation:

Given that length of the side of the square = [tex]6\sqrt{6}[/tex] inches.

Now we need to find area of the rectangle. So apply the formula  area of rectangle

[tex]Area of square= (side)^2[/tex]

[tex]Area of square= (6\sqrt{6})^2[/tex]

[tex]Area of square= 6^2(\sqrt{6})^2[/tex]

[tex]Area of square= 36(6)[/tex]

Area of square= 216 square inches

Similarly

[tex]Perimeter of square= 4(side)[/tex]

[tex]Perimeter  of square= 4(6\sqrt{6})[/tex]

Perimeter  of square [tex]= 24\sqrt{6}[/tex] inches.

What is the value of
the 7 in the number
472,085?​

Answers

The 7 is in the 10 thousandth place of the number 472,085

That means is has the value of 70,000

Answer:

70,000

Step-by-step explanation:

The 7 is in the 10,000 place so therefore it would be 7 multiplied by 10,000

If m AE = 120, and m BD = 50, what is the measure of BCD?

Answers

Answer:

The measure of angle BCD is [tex]35\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

[tex]m<BCD=\frac{1}{2}(120\°-50\°)=35\°[/tex]

Suppose a helium balloon is filled with 1,000 cm^3 of helium. Identify the amount of helium that will be in the balloon on the second and third days.

Answers

Answer:

On second day: 500 cm^3

On third day: 250 cm^3

Step-by-step explanation:

Let x be the initial amount of helium gas in the balloon.

As it is mentioned in the question that the balloon loses half of it's gas in one day. So after one day the gas will be half of the current volume. And to calculate the volume of gas the next day, the reduced volume will be divided by two.

So,

x = 1000 cm^3

Volume on second day,

x1 = 1000/2

=> 500 cm^3

Volume of gas on third day

x2 = x1/2

=> 500/2

=> 250 cm^3

Answer:

the answer is 500cm^3 and 250cm^3

Step-by-step explanation:

This is the correct answer to your question.

find polar coordinates of the point that had rectangular coordinates

Answers

Answer:

(6.08,170.54)

Explanation:

It goes 6 to the left and 1 up

Using Pythagorean theorem= 1/6=tan(angle)

Inverse tan 1/6= angle

= 9.46 degrees

180-9.46= 170.54 degrees is the angle

1^2+(-6)^2=h^2

1+36=h^2

h= square root of 37

h= 6.08

Hope you get it!

Can someone help me with this

Answers

Answer:

4     5

8     10

20    25

5,20

Step-by-step explanation:

What is the Medina privé of the parches in dollars?

Answers

Answer:

Median = 18

Step-by-step explanation:

The median is the middle number if the elements (prices)  are arranged from least to greatest.

let's arrange the prices of watches from least to greatest:

12, 15, 16, 16, 20, 22, 24 27

Since there are even number of numbers (8), the median is the value between 4th and 5th numbers.

4th number is 16

5th number is 20

We need the value between 16 and 20. We get that by adding these 2 and dividing by 2:

16 + 20 = 36

36/2 = 18

THus, median = 18

judy has a piece of wood that is 4 5/8 feet long. she cuts off 3 feet 6 inches of the wood for a project. how much wood, in feet does she have left

Answers

there are 12 inches in 1 foot, so 6 inches is really just half a foot, thus 3'6" is really just 3.5' or 3½ feet.

now, let's convert those mixed fractions to improper fractions and then subtract, bearing in mind our LCD will be 8.

[tex]\bf \stackrel{mixed}{4\frac{5}{8}}\implies \cfrac{4\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{45}{8}-\cfrac{7}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)45~~-~~(4)7}{8}}\implies \cfrac{45-28}{8}\implies \cfrac{17}{8}\implies 2\frac{1}{8}[/tex]

She has 1 and 1/8 foot of wood left.

3 feet and 6 inches is equal to 3 and 1/2 feet.

3 and 1/2 feet are also equal to 3 and 4/8 feet.

Subtract 3 4/8 from 4 5/8.

4 5/8 - 3 4/8 = 1 1/8.

Hope this helps!

If it does, it would help me a lot if you could make me brainliest.

Convert to vertex form.

Answers

Answer:

f(x) = (x + 4)² - 13

Step-by-step explanation:

You will have to "complete the square [½B]²" to figure this out. Here is how you would set it up:

(x + 4)² → x² + 8x + 16

x² + 8x + 16 - 13 → x² + 8x + 3 [TA DA!]

We know that our vertex formula is correct. Additionally, that -h gives you the OPPOSITE terms of what they really are, and k gives you the EXACT terms of what they really are. Therefore, your vertex is [-4, -13].

I am joyous to assist you anytime.

there are 25 red markers in the tub, there were 32 blue markers in the tub, and there were 38 green markers in the tub. what is the mode of this data?​

Answers

38 green is d mode of the data

Write 169=13^2 in Logarithmic form

Answers

Answer:

logbase13(169)=2

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (13)of the left side (169) equals the exponent (2).

In the logarithimic form we have the equation as [tex]log_{13} 169 = 2[/tex].

What is the logarithmic form?

We must note that we can write either in the logarithmic form or in the index form.

In this case, we have written in the index form as [tex]169=13^2[/tex]. In the logarithimic form we have the equation as [tex]log_{13}169 = 2[/tex].

Learn more about logarithimic form:https://brainly.com/question/9832815

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A set of numbers is shown:

{0, 2.6, 4.2, 5, 10, 15}

Which of the following shows all the numbers from the set that make the inequality 5x + 3 ≥ 28 true?
please answer quick!!

Answers

The correct answers are 5, 10, and 15. I'm doing the same subject and I got a 100 on a question similar. Good luck!

Answer:

5, 10, and 15

Step-by-step explanation:

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Whatis the source of this conflict?poor communicationdiffering valuesdiffering personalitiesdisputes over resources help, please?I can't figure it out and I need the answer quick. help me find the slope of this imagine. it a quizizz question and i cant figure it out What are some ways a new mining project will impact the area in which it is located The cold war became entrenched in the mid-1950s after the formation of what 2 rival military alliances? 16. What's developed as a result of the electron transport chain? **WILL MARK BRAINLIEST AND THANK YOU**Three portions of a blood sample show clumps in anti-a serum, but not anti-b or anti-rh sera. Which blood type does the test indicate?A. A negative (A-)B. AB positive (AB+)C. B negative (B-)D. O negative (O-) What scale factor was applied to the first rectangle to get the resulting image?Enter your answer as a decimal in the box. List several ways that negative life events (death in the family, being laid off, etc) may affect your physical health. Seeds for the Trojan war were sown at the wedding feast of peleus PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!excerpt from One of Oursby Willa Cather1 THE CIRCUS was on Saturday. The next morning Claude was standing at his dresser, shaving. Hisbeard was already strong, a shade darker than his hair and not so red as his skin. His eyebrowsand long lashes were a pale corn-colourmade his blue eyes seem lighter than they were, and,he thought, gave a look of shyness and weakness to the upper part of his face. He was exactlythe sort of looking boy he didnt want to be. He especially hated his head,so big that he hadtrouble in buying his hats, and uncompromisingly square in shape; a perfect block-head. Hisname was another source of humiliation. Claude: it was a chump name, like Elmer and Roy;a hayseed name trying to be fine. In country schools there was always a red-headed, wartyhanded,runny-nosed little boy who was called Claude. His good physique he took for granted;smooth, muscular arms and legs, and strong shoulders, a farmer boy might be supposed to have.Unfortunately he had none of his fathers physical repose, and his strength often asserted itselfinharmoniously. The storms that went on in his mind sometimes made him rise, or sit down, orlift something, more violently than there was any apparent reason for his doing.2 The household slept late on Sunday morning; even Mahailey did not get up until seven. Thegeneral signal for breakfast was the smell of doughnuts frying. This morning Ralph rolled out ofbed at the last minute and callously put on his clean underwear without taking a bath. This costhim not one regret, though he took time to polish his new oxblood shoes tenderly with a pockethandkerchief. He reached the table when all the others were half through breakfast, and madehis peace by genially asking his mother if she didnt want him to drive her to church in the car.3 Id like to go if I can get the work done in time, she said, doubtfully glancing at the clock.4 Cant Mahailey tend to things for you this morning?5 Mrs. Wheeler hesitated. Everything but the separator, she can. But she cant fit all the partstogether. Its a good deal of work, you know.6 Now, Mother, said Ralph good-humouredly, as he emptied the syrup pitcher over his cakes,youre prejudiced. Nobody ever thinks of skimming milk now-a-days. Every up-to-date farmeruses a separator.7 Mrs. Wheelers pale eyes twinkled. Mahailey and I will never be quite up-to-date, Ralph. Wereold-fashioned, and I dont know but youd better let us be. I could see the advantage of aseparator if we milked half-a-dozen cows. Its a very ingenious machine. But its a great dealmore work to scald it and fit it together than it was to take care of the milk in the old way.8 It wont be when you get used to it, Ralph assured her. He was the chief mechanic of theWheeler farm, and when the farm implements and the automobiles did not give him enoughto do, he went to town and bought machines for the house. As soon as Mahailey got used toa washing-machine or a churn, Ralph, to keep up with the bristling march of invention, broughthome a still newer one. The mechanical dish-washer she had never been able to use, and patentflat-irons and oil-stoves drove her wild.9 Claude told his mother to go upstairs and dress; he would scald the separator while Ralph gotthe car ready. He was still working at it when his brother came in from the garage to wash hishands.10 You really oughtnt to load mother up with things like this, Ralph, he exclaimed fretfully. Didyou ever try washing this . . . thing yourself?11 Of course I have. If Mrs. Dawson can manage it, I should think mother could.12 Mrs. Dawson is a younger woman. Anyhow, theres no point in trying to make machinists ofMahailey and mother.13 Ralph lifted his eyebrows to excuse Claudes bluntness. See here, he said persuasively, dontyou go encouraging her into thinking she cant change her ways. Mothers entitled to all thelabour-saving devices we can get her.14 Claude rattled the thirty-odd graduated metal funnels which he was trying to fit together in theirproper sequence. Well, if this is labour-saving15 The younger boy giggled and ran upstairs for his panama hat. He never quarrelled. Mrs. Wheelersometimes said it was wonderful, how much Ralph would take from Claude.16 After Ralph and his mother had gone off in the car, Mr. Wheeler drove to see his Germanneighbour, Gus Yoeder, who had just bought a blooded bull. Dan and Jerry were pitchinghorseshoes down behind the barn. Claude told Mahailey he was going to the cellar to put up theswinging shelf she had been wanting, so that the rats couldnt get at her vegetables.17 Thank you, Mr. Claude. I dont know what does make the rats so bad. The cats catches onemost every day, too.18 I guess they come up from the barn. Ive got a nice wide board down at the garage for yourshelf. the length of a rectangle is five times its width.if the area of the rectangle is 320 yd^2, find its perimeter.? yd What do you understand by the following terms used in a chemical equation :a. Reactants b. Products c. Balanced chemical equation Identify a theme in Dragonwings. Analyze and explain how the author developed the theme over the course of the novel through the characters and plot. Be sure to use evidence from the beginning, middle, and end of the story to support your ideas.PLEASE HELP!!! when the length of a rectangle with a width of 1/6ft was increased by 2/3ft, the area of the rectangle became 11/72 sq ft. what was the original length