Stephanie walks 2/5 miles in 1/4 our what is Stephanie speed in miles per hour

Answers

Answer 1
2÷5=0.4
1÷4=0.25
0.4÷0.25=0.016
so she walks at a rate of 0.016 miles per hour
Answer 2

Answer:

1 3/5 miles per hour

Step-by-step explanation:

Distance = rate * time

We know the distance and the time

2/5 miles = rate * 1/4 hour

Divide by 1/4

2/5   ÷ 1/4 = rate * 1/4 ÷ 1/4

Copy dot flip

2/5 * 4/1 = rate

8/5 = rate

1  3/5 miles per hour is the rate


Related Questions

Help please ASAP!!! I’ll mark brainliest

Answers

Yes the answer is A: $80

PLEASE HELP ME QUICK what is the simplified form of x+9/x+1 + x-2/5?

Answers

Answer:

A

Step-by-step explanation:

C and D are both wrong for the same reason. The denominator should be (x +1)*5 which means that either A or B is correct.

C and D have an error seldom seen on Brainly. It means that the denominator has been added rather than multiplied but even the addition is a little strange. Frankly, I don't know what has to be done to get either of them.

So the answer is

numerator: 5*(x + 9) +  (x + 1)(x - 2)

denominator: 5*(x + 1)

Simplify the numerator. Remove the brackets.

numerator: 5x + 45 + x^2 - 2x + x - 2               Gather like terms

numerator: x^2 + 5x - 2x + x + 43                      Simplify

numerator: x^2 + 4x + 43

Answer

x^2 + 4x + 43

==========

5(x + 1)


Why is math important “?

Answers

Answer:

Without math, how would we know how to count seconds minutes, etc.?

Math is extremely important for knowing how to do simple things like cooking, you need to know for how much time to put something in the oven or microwave or stove. Those are just the basics. There is a lot more stuff out there that math is used for.

If you want to get a job, you have to know about math. Without math, you will be unable to get a job. Every single job you can get requires math. Even working in a grocery store, you need math. Whether we like it or not, you will have to learn math or you'll end up homeless and without a job.

Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00 each. She bought three rims for $75.00 each and later sold them for $136.00 each. She bought five headlight covers for $4.00 each and later sold them for $15.00 each. What is Emma's total profi?

Answers

Answer:

two tires for $35 -------------------------$70  total

three rims for $75---------------------------   $225

five headlights for $ 4.00  ----------------$20

Emma spends ($225+$70+$20) =$315

Now Emma sells them for 2 tires for $65 =130

3 rims for $136         =   $408

5 headlights for $15  = $75

total money Emma makes = $613.

the profit is $613- $315= $298

the profit is $298


PLEASE HELP, I WILL MOVE TO A DIFFERENT SCHOOL IF I DONT PASS!!!!

Do number 1 all of the letters, a, b, c, d , e , and f.(its just connecting the equations).
for number 2, just do b and c.
if you know how to do 3, (b and c), that would be great.

plz help me out.

Answers

is there a picture i could see or something?

(14 POINTS!) PLEASE HELP ASAP!! IMAGE PROVIDED!!!

Which table shows a proportional relationship between x and y?

Answers

Answer: C


Step-by-step explanation: The equation is y = x/7. For every 7 numbers that x increases, y increases by 1.


the 3rd one because 7/1=14/2=28/4=35/5 they all equal each other by the 7s tables

A water company offers industrial users two different packages. The users can either pay 77 cents per thousand gallons, or pay a fixed amount of $1,232,000 for unlimited water usage for one year. How much water does an industrial user need to use in one year for the fixed amount package to be the less expensive option?

Answers

The water used will be greater than 1600000 thousands of gallons for the fixed amount to be less expensive.

How to find amount of water used for it to be less expensive?

The users can either pay 77 cents per thousand gallons, or pay a fixed amount of $1,232,000 for unlimited water usage for one year.

Therefore,

77 cents = 0.77 dollars

Hence,

The user can pay 0.77 per thousand gallons.

He can pay a fixed amount of $1,232,000 .

Therefore, the amount of water the company will use for the fixed amount to be less expensive is as follows;

let

x = amount of water use in thousand gallons

Using inequalities,

0.77x ≥ 1,232,000

x ≥ 1,232,000 / 0.77

x ≥ 1600000

Therefore, the water used will be greater than 1600000 thousands of gallons for the fixed amount to be less expensive.

learn more on inequality here: brainly.com/question/16887207

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find slope for 7x-2y=0.2
[tex]7x - 2y = 0.2[/tex]

Answers

Answer:

slope = -7/2

Step-by-step explanation:

To find the slope, we will solve the equation for y.

7x-2y=0.2

Subtract 7x from each side.

7x-7x-2y=-7x+0.2

-2y = -7x+0.2

Then we need to divide each side by -2

-2y/-2 = -7x/-2 + 0.2/-2

y = -7/2 x -0.1

This is in the form y= mx+b where m is the slope and b is the y intercept.

So the slope is -7/2 and the y intercept is -0.1

Determine the slope of the line J(0,0) K(-2,8)

Answers

Answer:

slope is -4 or in a fraction, -4/1

Step-by-step explanation:

When you have 2 points, you can find the slope by subtracting them by each other. You must do 8 - 0 which is 8, then -2 - 0 which is -2. Then you get 8/-2. Once simplified, you get -4, and you know if the number is alone, there is always a 1 under it so you get -4/1.

Hello!

Step-by-step explanation:

[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{8-0}{(-2)-0}=\frac{8}{-2}=-4[/tex]

Slope is -4

Final answer is -4

*The answer must have a negative sign.*

I hope this helps you!

Have a nice day! :)

-Charlie

:D

The double number line shows that Jonah needs 28 seconds to fold 2 shirts. Based on the ratio shown in the double number line, how long does Jonah need to fold 5 shirts?

Answers

Answer:

70 seconds

Step-by-step explanation:

Answer:

70 seconds

Step-by-step explanation:

Which equation is graphed here
A) y=2x+3
B) y=2x-3
C) y=3x+2
D) y=3x-2

Answers

Answer:

C) y=3x+2

Step-by-step explanation:

Looking at the graph, we can see the y intercept is at 2.

All of the answers are in the form y = mx +b

where b is the y intercept

y = mx+2

The only answer that has the y intercept of 2 is y = 3x+2

The sum of three consecutive numbers is 129 what is the smallest of the three numbers

Answers

Answer: n=42


Step-by-step explanation: Lets suppose n is a number. Since the numbers are consecutive, they would be:

n

n+1

n+2

If the sum is 129, then an equation would be

n+n+1+n+2=129

3n=126

n=42

So, the smallest number would be 42



Here is the answer for your question!

If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=

Answers

Answer:

the answer is 10

Step-by-step explanation:

if b is congruent to e

(which it is)

e=50 degrees

50/5=10

x=10

Final answer:

The value of x is 50 degrees.

Explanation:

In the given question, if ABC is congruent to DEC and angle B is 50 degrees, we want to find the value of angle E.

Since ABC and DEC are congruent, their corresponding angles are equal.

Therefore, angle E will also be equal to angle B, which is 50 degrees.

So, x = 50 degrees.

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the sum of the perimeter of two squares is 40cm while the sum of the area is 58cm². Find length the side of the square.

Answers

[tex]a,\ b-the\ length\ of\ sides\\\\(1)\qquad4a+4b=40\qquad\text{divide both sides by 4}\\\\a+b=10\to a=10-b\\\\(2)\qquad a^2+b^2=58\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\(10-b)^2+b^2=58\qquad\text{Use}\ (x-y)^2=x^2-2xy+y^2\\\\10^2-2(10)(b)+b^2+b^2=58\\\\100-20b+2b^2=58\qquad\text{subtract 58 from both sides}\\\\42-20b+2b^2=0\\\\2b^2-20b+42=0\qquad\text{divide both sides by 2}\\\\b^2-10b+21=0\\\\b^2-7b-3b+21=0\\\\b(b-7)-3(b-7)=0\\\\(b-7)(b-3)=0\iff b-7=0\ \vee\ b-3=0\\\\\boxed{b=7\ \vee\ b=3}[/tex]

[tex]\text{Put the values of b to }\ (1):\\\\for\ b=7\to a=10-7=3\\\\for\ b=3\to a=10-3=7\\\\Answer:\ \boxed{7cm\ and\ 3cm.}[/tex]

The sides of the squares will be 3 and 7.

What is a square?

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Area of square = Side²

The perimeter of the square = 4× side

Length of diagonal of square = √(2) × side

Let's say the side of the first square is a while the second is b

Now,

the sum of the perimeter of two squares is 40cm

4a + 4b = 40

a + b = 10

Now,

The Sum of the area is 58cm²

So,

a² + b² = 58

By substituting,

a² + (10 - a)² = 58

a² - 10a + 21 = 0

a² - 7a - 3a + 21 =0

a(a - 7) - 3(a - 7) = 0

(a-3)(a - 7) = 0

a = 3 ,7

Corresponding to 3 and 7

b = 10 - 3 = 7 and b = 10 - 7 = 3.

Hence "The sides of the squares will be 3 and 7".

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Which equation and solution represents each situation? Solutions may be rounded to the nearest tenth. What number is 74% of 58?

Answers

Answer:

42.9

Step-by-step explanation:

"74% of 58" translates to ...

... 74/100 × 58 = 42.92

Rounded to the nearest tenth, this is 42.9.

_____

Comment on translation

In this context, "of" means "times." Of course, % means /100, so ...

... 74% = 74/100 = 0.74

Write an expression equivalent to the one below
5(x + 6)-2x + 9

Answers

Answer:

5x+30-2x+9

Step-by-step explanation:

first you have to do the ''distributive property'' then you will get 5x+30-2x+9

Question

Write an expression equivalent to the one below

5(x + 6)-2x + 9


Answer:

2x + 10 + 29 + x

Step-by-step explanation:

5(x + 6)-2x + 9 =

5x + 30 - 2x + 9 =

3x + 39

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

2x + 10 + 29 + x =

3x + 39




Plz help me answer A and B

Answers

For both questions, you essentially use the equation r = d/t

a. 34/7 = about 4.86 dollars per hour

b. 4/10 = 0.40 dollars per pound.

Which of the following CANNOT be the length of AC?

Answers

now, if you took a look at that link above, let's see.

if we take AB and BC and lie them flat, by opening up the vertex at B, the longest that'd give us is 12+14 = 26, so AC can be at most LESS than 26 units, because if it's 26, then we end up with a flat-line and lose the triangle, so 25 or less is fine for AC.

can it be 30? well, how the dickens are AB + BC going to give 30 or more than 30 really?  nope, not quite, it can't be.

PLEASE HELPPP!!!

WILL GIVE THE BRAINLEST!!!

Answers

Answer:

5.) Proportionality is 3/1 or 3 simplified

b x 3 = pb= boxesp= pens in box

6.) Proportionality is 1/6

m ÷ 6 = pm = muffinsp= pack(s) of muffins

Step-by-step explanation:

You would take the first column (or in this case row (pens and packs) and place the 2nd row under it in fraction form.

5.) 3/1 = 36.) 1/6 = 1/6

That would be your proportion


Then you would (in place of numbers) use letters to symbolize in the equation

5.) p = pens: b= boxes6.) m= muffins; p= pack

Then create an equation to figure out how to get the correct numbers.

1 box holds 3 pens so:5.) b x 3 = pCheck: 2 boxes x 3 pens per box = 6 pens (check table) Correct!6 muffins in 1 pack so:6.) m ÷ 6 = p12 muffins ÷  6 muffins in per box = 2 packs (check table) Correct!

Leila has scored 33, 28, 24 and points in her three basketball games so far. How many points does she need to score in her next game so that her average (mean) is 27 points per game?

Answers

ANSWER:

24 points.

The amount of points Leila needs to score in her next game so that her average is 27 points per game is: 24 points.

STEP-BY-STEP EXPLANATION:

Let the amount of points Leila needs to score in her next game so that her average is 27 points per game = x

27 = total no. of points / total no. of games

27 = ( 33 + 28 + 24 + x ) / ( 3 + 1 )

27 = ( 85 + x ) / 4

27 × 4 = 85 + x

85 + x = 108

x = 108 - 85

x = 24
Final answer:

Leila needs to score 23 points in her next game to have an average of 27 points per game.

Explanation:

To find out how many points Leila needs to score in her next game in order to have an average of 27 points per game, we need to use the formula for finding an average. The sum of all the points scored is 33 + 28 + 24 + x (the points in the next game), and we divide this sum by the number of games, which is 4. So, the equation is (33 + 28 + 24 + x) / 4 = 27. To solve for x, we multiply both sides of the equation by 4 to get 33 + 28 + 24 + x = 27 * 4. Simplifying this gives us 85 + x = 108. To isolate x, we subtract 85 from both sides of the equation, which gives us x = 108 - 85. So, Leila needs to score 23 points in her next game to have an average of 27 points per game.

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Whats is the mean in -10 + -10 + 6 + 5 + -1 + -1 ???? PLZ HELP

Answers

-11 is the correct answer
Answer -1.83
Explanation
Add all the numbers up and divide by how many

For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2

Answers

Answer:

The row with x = 2 and y = 4 is incorrect. The y value should be y = 3 when x = 2.

==============================================================

Explanation:

Fractions can be a bit of a pain, so I'm going to be converting to decimal form to help with the computation; however, I will convert the y value results to mix number form so that it matches what the table shows.

Keep in mind that 3/4 = 0.75 when you use a calculator or long division. So a number like 2.75 means 2 & 3/4 (two and three quarters)

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

Let's check the first row. Plug in x = 0 and it leads to...

y = (3/4)*x^2

y = (3/4)*0^2

y = (3/4)*0

y = 0.75*0

y = 0

This shows us that row 1 is correct. When x = 0, y = 0 leading to (x,y) = (0,0).

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

Repeat the same basic outline of steps, but now use x = 2

y = (3/4)*x^2

y = (3/4)*2^2

y = (3/4)*4

y = 0.75*4

y = 3

So instead of 4, the proper y value is y = 3 when x = 2. This means row 2 is the answer (the row that has the incorrect values).

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

For the sake of completeness, let's see if the third row is correct or not. Plug in x = 3

y = (3/4)*x^2

y = (3/4)*3^2

y = (3/4)*9

y = 0.75*9

y = 6.75

y = 6 & 3/4

We see that x = 3 points to y = 6 & 3/4, so we have the correct values in this row. We can cross this off the list of choices.

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

Finally, let's check x = 5

y = (3/4)*x^2

y = (3/4)*5^2

y = (3/4)*25

y = 0.75*25

y = 18.75

y = 18 & 3/4

We get the proper y value. So we can also cross this off the list.


Denise bought a t-shirt at the sale price of $25 the original cost of the T-shirt was $40 what percent represents the discount that Denise received when buying the T-shirt

Answers

Answer:

37.50%

Step-by-step explanation:

Use the formula: Old Value minus New Value (in absolute value bars) divided by Old Value times 100

New Value = $25 / Old Value = $40

$40 - $25 =  $15

$15 divided by $40 is 0.375

0.375 times 100 (0.375 x 100) is 37.50


you are paid $47.25 for working 7 hours how much are you paid per hour

Answers

Answer:

6.75

Step-by-step explanation:

1. You want to divide 47.25 by 7 because then you can see how much money you earned in one hour.


Answer: $6.75


Step-by-step explanation: In order to find per hour, you multiply 47.25 and 7 and get a answer of 6.75


What is the domain of f(x)=(1/2)^x

Answers

Answer:

Domain: all real numbers

Step-by-step explanation:

The domain of a function is the set of values that x can be replaced with.

In this function, x can be replaced by any real number, so the domain of the function is all real numbers.

Here we need to find the domain of the given function.

We will see that the domain is the set of all real numbers.

The first thing we need to do is to define the domain of a function.

For a given function f(x), we define the domain as the set of possible inputs that we can use on the function.

Usually, we start by defining the domain as the set of all real numbers and then remove from the domain the numbers that cause "a problem" with our function.

Where these "problems" are undefined operations, like the logarithm of a negative number or a zero in a denominator.

Particularly, in our function: f(x) = (1/2)^x

We do not have a denominator that can become zero nor a function that has problems with some given values of x (the exponent of a number can be any real number).

Concluding, because there is no problem with any real value,  we can see that the domain is the set of all real numbers.

If you want to learn more, you can read:

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If the sides of a triangle MNP are MN= 4x+9, NP= x+5, MP= 7x-20, find the range of possible values for x. Please show steps!

Answers

Answer:

[tex]6<x<8.[/tex]

Step-by-step explanation:

The sides MN, NP and MP of the triangle MNP should satisfy inequalities:

[tex]MN+NP>MP;[/tex][tex]MN+MP>NP;[/tex][tex]NP+MP>MN.[/tex]

Then

[tex]\left\{\begin{array}{l}4x+9+x+5>7x-20\\4x+9+7x-20>x+5\\x+5+7x-20>4x+9\end{array}\right..[/tex]

Simplify this system:

[tex]\left\{\begin{array}{l}4x+x-7x>-9-5-20\\4x+7x-x>20-9+5\\x+7x-4x>20-5+9\end{array}\right.\Rightarrow \left\{\begin{array}{l}-2x>-16\\10x>16\\4x>24\end{array}\right.\Rightarrow \left\{\begin{array}{l}x<8\\x>1.6\\x>6\end{array}\right..[/tex]

Thus, the range of possible values for x is [tex]6<x<8.[/tex]

Final answer:

The question, from high school Mathematics related to geometry and algebra, asks to find the possible values for x using the triangle inequality theorem. These inequalities when solved gives the required range for x.

Explanation:

The subject of this question is Mathematics, specifically pertaining to geometry and algebra. This question asks to find the range of possible values for x given that the sides of triangle MNP are MN= 4x+9, NP= x+5, MP= 7x-20.

Firstly, we utilize the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. With this theorem, we can set up three inequalities:

4x+9 + x+5 > 7x-20 4x+9 + 7x-20 > x+5 x+5 + 7x-20 > 4x+9

Solving these inequalities will provide the range of possible values for x.

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some one answer ASAP!! in trail mix, there are nuts and dried fruit. In one mix there is 40% dried fruit. In another, there is 60% dried fruit. How many pounds of each mix is needed to make 5 pound mix that is 55% dried fruit?
let x= The amount of 40% fruit mix
let y=the amount of 60% fruit mix

what is the solution to the system

Answers

[tex]p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=\dfrac{4}{10}=0.4;\ 60\%=\dfrac{60}{100}=\dfrac{6}{10}=0.6;\ 55\%=\dfrac{55}{100}=0.55\\\\\left\{\begin{array}{ccc}x+y=5&\to x=5-y\\0.4x+0.6y=0.55\cdot5\end{array}\right\\\\\text{Use substitution method}\\\\0.4(5-y)+0.6y=2.75\qquad\text{use distributive property}\\\\(0.4)(5)+(0.4)(-y)+0.6y=2.75\\\\2-0.4y+0.6y=2.75\qquad\text{subtract 2 from both sides}\\\\0.2y=0.75\qquad\text{multiply both sides by 5}\\\\\boxed{y=3.75}[/tex]

[tex]\text{Put the value of y to the first equation}\\\\x=5-3.75\\\\\boxed{x=1.25}\\\\Answer:\ x=1.25\ and\ y=3.75.[/tex]

1. Two boats A and B depart from a port at the same time, travels to the north at 15 miles per hour, while B travels eastward at 20 mph. How fast boats are separated two hours after they left the port?

Answers

Answer:

50 mi

Step-by-step explanation:

Two hours after leaving port,

Boat A has travelled 30 mi north Boat B has travelled 40 mi east.

The triangle formed by their tracks and the line joining their current positions is a right-angled triangle.

According to Pythagoras,

        a² + b² = c²

   30² + 40² = c²

900 + 1600 = c²

            2500 = c²

     √(2500) = c

                    c = 50 mi

The boats will be separated by 50 mi two hours after leaving port.

May someone help it is just some quick math problems

Answers

Question 1 Answer: 1cm= 3 feet. I say this because if there is 5 cm on the blueprint, you can do 3 feet for every cm and get 15 feet.

Question 2 Answer: 1 in=1.5 feet. 6÷4= 1.5 therefore the scale factor is 1.5

I can't quite see the other answers if you could zoom in i could answer those as well.

Each day a company use 1/5 of a box of paper how many boxes would they have used after four days

Answers

Answer:0.8 or 4/5


Step-by-step explanation:1/5 x 4 = 4/5

And to check your work  

4/5 / 4 = 1/5


Answer: 4/5

Step-by-step explanation: First you have to set up a multiplacation problem.

1/5 x 4 or 1/5 x 4/1 = 4/5

Other Questions
view the irregular verb. tear which principal part is this verb form?(A). present participle(B). past participle(C). past(D). presentPS.please give right answer:) Briefly explain why its important to know how cells function Round 0.996 to the nearest tenth Bobby hopes that he will someday be more than 70 inches tall he is currently 61 inches tall how many more inches, x,does Bobby need to grow to reach his desired height Write a fable which is two to three paragraphs long. Remember that fables teach a lesson. Make sure you have included a narrator and character(s) created a conclusion that resolves a conflict or problem use complete sentences use your checklist to revise and edit Review the rubric so you understand how the assignment will be graded stefanie bought a pack of pencils for 1.75 and some erasers that cost 0.25 each, she paid a total of 4.25 for these items. how many erasers did she buy which line from The Pardoners Tale best displays the Pardoners true attitude toward those who look to him for spiritual guidance?A. ...Them from it, I can bring them to repent...B. ... A string of starving children, all agape.C. ... A livelihood. I do not preach in vain.D. Once dead what matter how their souls may fare? Solve 1/2 - 60% -25% Can someone please help?What information does the National Weather Service produce? Check all that apply.-simple maps-newspaper maps-maps with isobars-maps with isotherms-weather service maps What government structure did the Aztec and the Inca have in common? 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My father and his seven sons defended their inheritance from story to story, from chamber to chamberThere was not a room, not a step of the stair, that was not slippery with their blood. They diedthey died every man; and ere their bodies were cold, and ere their blood was dried, I had become the prey and the scorn of the conqueror!" . . .As another instance of these bitter fruits of conquest, and perhaps the strongest that can be quoted, we may mention, that the Princess Matilda, though a daughter of the King of Scotland, and afterwards both Queen of England, niece to Edgar Atheling, and mother to the Empress of Germany, the daughter, the wife, and the mother of monarchs, was obliged, during her early residence for education in England, to assume the veil of a nun, as the only means of escaping the licentious pursuit of the Norman nobles. This excuse she stated before a great council of the clergy of England, as the sole reason for her having taken the religious habit. The assembled clergy admitted the validity of the plea, and the notoriety of the circumstances upon which it was founded; giving thus an indubitable and most remarkable testimony to the existence of that disgraceful license by which that age was stained. It was a matter of public knowledge, they said, that after the conquest of King William, his Norman followers, elated by so great a victory, acknowledged no law but their own wicked pleasure, and not only despoiled the conquered Saxons of their lands and their goods, but invaded the honour of their wives and of their daughters with the most unbridled license; and hence it was then common for matrons and maidens of noble families to assume the veil, and take shelter in convents, not as called thither by the vocation of God, but solely to preserve their honour from the unbridled wickedness of man . . ."Thy language," answered Rowena, "hath in its indifferent bluntness something which cannot be reconciled with the horrors it seems to express. I believe not that thy purpose is so wicked, or thy power so great.". . .At one end of this ghastly apartment was a large fire-grate, over the top of which were stretched some transverse iron bars, half devoured with rust.(WHICH TWO SENTENCES)A.My father and his seven sons defended their inheritance from story to story, from chamber to chamberThere was not a room, not a step of the stair, that was not slippery with their blood. B.Princess Matilda, though a daughter of the King of Scotland, and afterwards both Queen of England, niece to Edgar Atheling, and mother to the Empress of Germany, the daughter, the wife, and the mother of monarchs, was obliged, during her early residence for education in England, to assume the veil of a nun, as the only means of escaping the licentious pursuit of the Norman nobles.C.The assembled clergy admitted the validity of the plea, and the notoriety of the circumstances upon which it was founded;D.It was a matter of public knowledge, they said, that after the conquest of King William, his Norman followers, elated by so great a victory, acknowledged no law but their own wicked pleasure, and not only despoiled the conquered Saxons of their lands and their goods, but invaded the honour of their wives and of their daughters with the most unbridled license;E.At one end of this ghastly apartment was a large fire-grate, over the top of which were stretched some transverse iron bars, half devoured with rust. Which sentence is written in the subjunctive mood?A)Our dog ripped up our grandma's handsewn pillow to shreds.B)Tell me whether or not you'll be able to make the party by Friday.C)Mr. Cummins would like all the essays turned in by Friday at 8 a.m.D)Why does Mr. Wilson put up his Christmas decorations so early each year? A recipe calls for 2/3 of a cup of milk for 11 cookies. How many cups of milk are needed to make 99 cookies? What was the main political challenge Mexico faced after independence? - Conservatives and liberals had opposing views of government. Dictatorships left citizens with no say in government decisions. Weak confederations led to constant battles between territories. The president's death left the country leaderless and vulnerable. In a certain? chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 544 grams of copper. How many grams of zinc does it? contain? At first, the ratio of Dave's savings to Sam's savings was 5:4. After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10. What was Dave's savings at first? 1. A population of rabbits may be brown (the dominant phenotype) or white (the recessive phenotype). Brown rabbits have the genotype BB or Bb. White rabbits have the genotype bb. The frequency of the BB genotype is .35.a. What is the frequency of heterozygous rabbits?b. What is the frequency of the B allele?c. What is the frequency of the b allele?2. Scale coloration of lizards has a complete dominance relationship where green scales are dominant over blue scales. There are 1,024 individuals with the genotype GG, 512 individuals with the genotype Gg, and 64 individuals with the genotype gg.a. What is the predicted frequency of heterozygotes?b. What is the predicted frequency of homozygous dominant?c. What is the predicted frequency of homozygous recessive?3. The next generation of lizards has 1092 individuals with green scales and 108 individuals with blue scales. Is the population in Hardy-Weinberg Equilibrium? Solve for p and q.4. A population of 10,000 humans has 6840 individuals with the blood type AA, 2860 individuals with blood type AB and 300 individuals with the blood type BB.a. What is the frequency of each genotype in this population? AA= AB= BB=b. What is the frequency of the A allele?c. What is the frequency of the B allele?d. If the next generation contained 25,000 individuals, how many individuals would have blood type BB, assuming the population is in Hardy-Weinberg equilibrium?5. A population of birds contains 16 animals with red tail feathers and 34 animals with blue tail feathers. Blue tail feathers are the dominant trait.a. What is the frequency of the red allele?b. What is the frequency of the blue allele?c. What is the frequency of heterozygotes?d. What is the frequency of birds homozygous for the blue allele?6. Petal coloration of pea plants has a complete dominance relationship where purple petals are dominant over white petals. There are 276 plants, 273 have purple petals.a. What is the predicted frequency of heterozygotes?b. What is the predicted frequency of homozygous dominant?c. What is the predicted frequency of homozygous recessive?7. The next generation of pea plants has 552 plants, 546 have purple petals. Is the population in Hardy-Weinberg Equilibrium? Solve for p and q.8. Brown hair (B) is dominant to blond hair (b). If there are 168 brown haired people in a population of 200:a. What is the predicted frequency of heterozygotes?b. What is the predicted frequency of homozygous dominant?c. What is the predicted frequency of homozygous recessive?9. Sickle-cell anemia is genetic disease where normal homozygous individuals (SS) for the gene have normal blood cells that are easily infected with the malarial parasite. Individuals homozygous for the sickle-cell trait (ss) have red blood cells that easily collapse when deoxygenated, which blocks malaria, but individuals often die because of the genetic defect. However, individuals with the heterozygous condition (Ss) have some sickling of red blood cells so the malaria cannot survive well within these "partially defective" red blood cells. Thus, heterozygotes tend to survive better than either of the homozygous conditions. If 9% of an African population is born with the severe form of sickle-cell anemia (ss), what percentage of the population will be more resistant to malaria because they are heterozygous (Ss) for the sickle-cell gene?10. The trait for 'male-pattern baldness' is a recessive trait encoded for by "b". Non-balding is encoded for by a dominant allele encoded for by the letter "B". A street survey conducted by Hair Club for Men found that out of 1000 men, 360 had male pattern baldness, the other 480 who did not and were heterozygous, and 160 who did not and were homozygous for a full head of hair.a. What are the phenotype ratios?b. Using this information find the allele frequencies for B and b.c. What are the expected genotype frequencies?