Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.

Answers

Answer 1

Hello!

Here's what you know:

· Kevin's age is 4 times Daniel's age.
· Kevin's age is 6 more than Daniel's age.

In numbers:
· 4d
· d + 6

where d is Daniel's age. Kevin's age is constant, and both expressions represent his age, so you can set them equal to each other to solve for d.

4d = d + 6
4d - 6 = d
-6 = -3d
2 = d

Daniel is 2 and Kevin is 8.

I hope this helps you!

Related Questions

Solve for X:
X + 25 = 45

Answers

Hello!

All you have to is isolate the X variable :)

X + 25 = 45
X = 45 - 25

X = 20

I hope this helps :))

X = 20

Hope this helps ;)

How do I find the slope of (2,3) and (5,9) by showing all of my work

Answers

(2,3) and (5,9) You are suppose to subtract the y axis from the x axis. You´re going to do 9 - 3 which is 6. Then, you are going to do 5 - 2 which is 3. You should get 6/3. This simplifies to 2. So, you slope is going to be 2. I hope this helps!

Slope=rise/run or we can write it as y1-y2/x1-x2.

(Hint: y is the rise and x is the run. To find slope, we need to know the change in “y” and the change in “x.” That is where the formula comes from)

2 will be x1
3 will be y1
5 will be x2
9 will be y2

You will get 3-9/2-5
Then: -6/-3
Then: 2

The slope is 2.

(Although this works with linear functions, for non-linear functions we use derivatives. I’m assuming you are using a linear function. Assuming the two points are on a linear function, the slope is 2)

An accountant pays 8% per year simple intrest, in year 1 the amount in the account is $850 how much is the account in year 6?

Answers

hmmm, as I read it, in year 1, but it doesn't say at the beginning of the year or end, so we'll be assuming is at the beginning of year 1, the amount is 850, how much will it be at the beginning of year 6? namely, 5 years later.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$850\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ t=years\to &5 \end{cases} \\\\\\ A=850[1+0.08(5)]\implies A=850(1.4)[/tex]

Simple interest can be calculated by using the following:
A = P(1 + rt) where A is the total amount of principle and interest: P is the initial investment; r is the rate of interest; and t is the time

Using P = 850, r = .08, and t = 5
A = 850(1+ .08(5))
A = 850(1.4)
A = 1190 the amount in the account in year 6

Nina has 2 cups of flour. However, this is only 1/4 of the amount of flour she needs for a bread recipe. How many cups of flour does the recipe call for?

Answers

She needs 8 cups of flour for her recipe.

Nina has 2 cups of flour.

However, 2 cups of flour is only 1/4 of the amount of flour she needs for a bread recipe.

Therefore, quantity of flour which Nina needs for a bread recipe is four times the present quantity

The cups of flour which Nina needs for a bread recipe = 2 / (1/4)

= 2 *4 cups

= 8 cups

Hope this helps..!!

Thank you :)

guys please assist me
this is a system of equation word problem

Answers

Let t and h represent the number of twenty- and hundred-dollar bills given the crook, respectively.
.. 20t +100h = 10000 . . . . . . the total value of the payment was $10,000
.. t - h = 20 . . . . . . . . . . . . . . . she gave him 20 more twenties than hundreds

Using an augmented matrix, the solution can be found to be
.. t = 100
.. h = 80

She gave the crook only 100 20s, so did not meet the requirement for 105 twenty-dollar bills. Polly did not give him enough.

The inverse of f(x)

Answers

x=-6(y-2)
x=-6y+12
x-12=-6y
-1/6x+2=f^-1(x)

BRAINLIESTTTT!!!!

Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.

(x − 4)2 = 3
(x − 3)2 = 2
(x − 2)2 = 1
(x − 1)2 = 4

Answers

we have that
x² − 2x − 3 = 0

Step 1
isolate the variable terms
x² - 2x = 3

Step 2
complete the square
x² - 2x + 1² = 3 + 1²
(x-1)² = 4

the answer is the option (x-1)² = 4

What is the slope of the line that passes through (10,0) and is parallel to y=1/2x+3

Answers

Answer: 1/2

Explanation: The slope of the given line y = 1/2x+3 is 1/2 as its the coefficient in front of the x. Any line parallel to this will also have a slope of 1/2. Parallel lines have equal slopes. The info about (10,0) is unneeded. It was likely put in there to throw you off.

Which equation of the least squares regression line most closely matches the data set?

Note: The variable x represents the years after 1970.

Y= -5.7x-67
Y= -0.98x+65
Y= -0.17x+76
Y= -5.7x +67

Answers

Judging by the first and last points (0, 65), (8, 21), the slope is about -44/8 = -5.5 and the y-intercept is about 65.

The 4th selection is appropriate.

Answer:

D. [tex]y = -5.7x + 67[/tex]

Step-by-step explanation:

Let us take the year 1970 as the 0th year.

So, the corresponding table of values is,

x y

0 65

2 58

4 45

6 32

8 21

Using the linear regression calculator, we see that,

The closest equation of the regression line is [tex]y = -5.7x + 67[/tex].

Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidentally recorded it as credit rather than as a debit. How will his check register compare to his monthly bank statement when he receives it?

Answers

Answer: the balance in his check register will be $76 over the balance on his bank account

30 POINTS!!! HELP PLEASE!
Model each scenario with an equation and a sketch. Solve for the missing value and u. Use complete sentences to interpret the solution. In your final answer, include your equation, sketch, interpretation, and all calculations necessary for the solution.

1.) To get home from school, Bob walks four blocks north and three blocks east. What is the straight line distance between Bob’s house and his school?

2.)One of the requirements of your summer window-washing job is to provide yourself with all of the necessary supplies, including a fourteen foot ladder. When you arrive at your first job, you place your ladder on the ground six feet from the base of the house and lean it towards a second story window, only to realize that the ladder doesn’t reach the window. Given the length of the ladder and its current position, what is one possible height of the second story window? (Hint: There is more than one correct answer.)

3.) In a softball diamond, each of the bases, including home plate, are equidistant from each other. Although the name implies differently, a softball diamond is in the shape of a square. Given that the distance between the bases is unknown, determine an expression for the straight line distance between first and third bases.

4.) A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?

Answers

#1) In the sketch, the school is located at coordinates (1, 1). Going north (up) 4 blocks and east (right) 3 blocks to get home places it at (4, 5). The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Using our coordinates we have:
[tex]d=\sqrt{(4-1)^2+(5-1)^2} \\=\sqrt{3^2+4^2} \\=\sqrt{9+16} \\=\sqrt{25} \\=5[/tex] His house is 5 blocks from the school in a straight line.
#2) The ladder (14 ft) forms the hypotenuse of a right triangle, with the legs being the distance from the house (6 ft) and the height of the ladder (b ft). This gives us:
[tex]6^2+b^2=14^2 \\36+b^2=196[/tex]
Subtract 36 from both sides:
[tex]36+b^2-36=196-36 \\b^2=160[/tex]
Take the square root of both sides:
[tex]\sqrt{b^2}=\sqrt{160} \\b=12.6[/tex]
One possibility for the height of the second story window is 13 feet, since it is longer than 12.6.
#3) The distance from 1st base to 3rd base forms the hypotenuse of a right triangle, with each leg being equal to s, the side length of the square formed by the baseball diamond. Using the Pythagorean theorem we have:
[tex]s^2+s^2=d^2[/tex], where d is the distance from 1st to 3rd. Combining like terms gives us [tex]2s^2=d^2[/tex]. Taking the square root of both sides we have [tex]\sqrt{2s^2}=\sqrt{d^2} \\s\sqrt{2}=d[/tex] (this is due to the fact that square root cancels a squared variable, so s comes out of the radical sign).
#4) The straight distance from the boat's original position to its new position forms the hypotenuse of a right triangle, with the legs being the distance west (600) and the distance south (800) it traveled. Using the Pythagorean theorem we have:
[tex]600^2+800^2=d^2 \\360000+640000=d^2 \\1000000=d^2[/tex]
Taking the square root of both sides we have
[tex]\sqrt{1000000}=\sqrt{d^2} \\1000=d[/tex]
The straight distance between the two points would be 1000 meters.

1
Which mathematical symbol would best fill in the blank to compare the two real numbers? 7.6 repeating____55 squared

<
>
=
≈

2
Convert 11.42424242 … to a rational expression in the form of a/b , where b ≠ 0.

42/999 with 11 whole number
42/9990 with 11 whole number
42/99 with 11 whole number
99/42 with 11 whole number

3
Order the set of numbers from least to greatest: -5/6, -5, -26 squared, -31/6

4
Identify the number that does not belong with the other three. Explain your reasoning
50.1 reapting , -50/2, , -50.1, 50 squared

Answers

Hey there! :D

1. 7.6 repeating ____ 55 squared

Find 55 squared.

7.6 < 3025

7.6 is less than 7.4.

2. We already know we have 11 as the whole number.

When you have a repeating decimal, you can keep it as a fraction but use 99 as the denominator.

42/99 with the 11 whole number is the answer.

3. -31/6, -5, -5/6, -26^2 <== least to greatest.

-31/6= -5.16667 -26^2= 676

4. I think the 50 is the square root. Everything else can be represented as a fraction or ratio. The square root of 50 is irrational, and cannot be represented by a fraction or ratio. 50 squared is the one that doesn't belong.

I hope this helps!
~kaikers

The function f(x) = −(x + 5)(x + 1) is shown.

What is the range of the function?

a.all real numbers less than or equal to 4
b.all real numbers less than or equal to −3
c.all real numbers greater than or equal to 4
d.all real numbers greater than or equal to −3

Answers

They give you a graph so this will be easy. What I do is imagine shading going back to the y-axis from the graph. This is how to get a visual of the range.

Since the shading would go from 4 all the way to negative infinity, the answer is all real numbers less than or equal to 4.

Best of luck!

Range of the given function is all real numbers less than or equals to 4.

What is the range of the function?

The range of a function is the set of all its output values.

According to the given equation we have

f(x) = -(x+5)(x+1)

Let, y = -(x+5)(x+1)

To find the range of the given function, we will substitute different values of x.

At, x = -5

y = f(-5) = -(-5 +5)(-5+1) =0

At, x = -4

y = f(-4) = -(-4 + 5)(-4 + 1) = -(1)(-3) = 3

At, x = -2

y = f(-2) = -(-2+5)(-2+1) = -(3)(-1) =3

At, x = -3

y = f(-3) = -(-3 + 5)(-3 + 1) = -(2)(-2) =4

Similarly, we will find for the other values of x.

So, the coordinates are (-5, 0), (-4, 3), (-3, 4), (-2,3)

And the graph using this coordinates are already given. Here, the set of outputs are the values of y. So we can see that the range of the given function is all real numbers less than or equals to 4.

Learn more about the range of the function here:

https://brainly.com/question/21027387

#SPJ2

A quadrilateral with two sets of parallel sides and four right angles is a
parallelogram
rhombus
rectangle
trapezoid

Answers

Its a parallelogram
thats the answer

The correct answer is a rectangle.

in the inverse variation function, what happens to the output when the function's input value is divided by 3?

Answers

9 because it gets tripled

Answer: The function's output value will get multiplied by 3

Step-by-step explanation:

Two variables x (input value) and y (output value) are said to be in inverse variation if [tex]xy=k[/tex] for some constant k.

The equation for inverse variation can be written in the form :-

[tex]y=\frac{k}{x}[/tex], where k is a constant.

When the function's input value is divided by 3, then the new input value would be

[tex]x_1=\frac{x}{3}[/tex]

Now, the equation to find the new output value corresponding to new input value would be

[tex]y_1=\frac{k}{x_1}\\\Rightarrow y_1=\frac{k}{\frac{x}{3}}\\\\\Rightarrow y_1=3(\frac{k}{x})\\\\\Rightarrow y_1=3y[/tex]

Hence, When the function's input value is divided by 3, then the function's output value will get multiplied by 3.

find the number of liters in 90 gallons

Answers

number of liters)- 340.687

Please help quickly for 5 stars and brainliest!!

1. Omar set off a rocket in a field. The height h of the rocket in feet can be roughly estimated using the formula

h = -16t^2 + 128t, where t is the time in seconds. How long will it take the rocket to reach a height of 240 feet?

2. Josefina tosses a ball upward with an initial velocity of 76 feet per second.

She tosses it from an initial height of 2 feet. Find the approximate time that the ball hits the ground.

Use the function h(t) = -16t^2 + 76t + 2

Round to the nearest second.

3. Brandi, an amateur skier, begins on the "bunny hill," which has a vertical drop of 200 feet.

Her speed at the bottom of the hill is given by the equation v^2 = 64h, where the velocity v is in feet per second

and the height h of the hill is in feet. Assuming there is no friction, approximate Brandi's velocity at the bottom of the hill.

Answers

1.
Height h = 240 feet
We insert it into formula.
[tex]240 = -16 t^{2} +128t[/tex]
Now we solve this for t:
[tex]16 t^{2} -128t +240 = 0 /16 \\ t^{2} - 8t +15 =0 \\ t_{1} = 5 t_{2} = 3[/tex]

We have two answers as the rocket will pass this height on it's way up and down.

2.
Height h = 0 feet
We insert it into formula.
[tex]0=-16 t^{2} +76t + 2[/tex]
Now we solve this for t:
[tex]16 t^{2} - 76t -2 = 0 /2 \\ 8t^{2} - 38t - 1 = 0 \\ t_{1} = 5 t_{2} = -1[/tex]
We do not consider solution -1 as the time can not be negative. Our solution is 5s.

3.
Height at bottom of hill h = 0 feet
We insert it into formula.
[tex] v^{2} = 64 * 0 = 0 ft/s[/tex]

The figure below shows triangle NRM with r2 = m2 + n2:

Triangle NRM has legs m and n, and r is the length of its longest side.

Ben constructed a right triangle EFD with legs m and n, as shown below:

Triangle EFD has legs m and n and hypotenuse f.

He made the following table to prove that triangle NRM is a right triangle:

Statement Reason
1. r2 = m2 + n2 Given
2. f2 = m2 + n2 Pythagorean Theorem
3. f2 = r2 Substitution
4. f = r Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD ?
6. Angle NRM is a right angle CPCTC
7. Triangle NRM is a right triangle Angle NRM is a right angle

Which reason best fits statement 5?
SSS Postulate
SAS Postulate
AAA Postulate
AAS Postulate

Answers

Triangle NRM has legs m and n, and r is the length of its longest side.

and given that ⇒ r² = m² + n²
Ben constructed a right triangle EFD with legs m and n

so, both of the triangles NRM and EFD have legs with sides m and n

beside that the third side of NRM is equal to the third side EFD, i.e ⇒ r = f

which is proved from the statement number 4

So, the sides of the triangle NRM are congruent to the sides of triangle EFD

So, the reason which best fits statement 5 is ⇒ [tex]\framebox {SSS \ Postulate} [/tex]

Answer:

Option "SSS postulate" is correct.

Step-by-step explanation:

Given that: Triangle NRM has legs m and n, and r is the length of its longest side.

and r² = m² + n².

Now, Ben constructed a right triangle EFD with legs m and n.

and in statement 4, it is proved that f=r.

So, all the three sides of the triangles NMR and EFD are congruent.

So, the triangles are congruent bt the SSS Postulate.

⇒ option "SSS postulate" is correct.

In order to circumscribe a circle on a triangle, which line must you construct?

a.median

b.altitude

c.diagonal

d.perpendicular bisector

Answers

The answer is the option d.Perpendicular bisector.

Explanation:

By definition, a circumscribe circle passes through the three vertices of the triangle and to its constrution, you have to draw the triangle and then construct a perpendicular bisector to each side of it. The point where these perpendicular bisectors intersect each other, will be the center of the circle. Then, you should place the compass on the center point to draw the circle.

The answer is in fact perpendicular bisector

how do you do #8,9,10 ?? thank you !!

Answers

8. g(x) = 3f(x +2)
.. 3 represents a vertical expansion factor of 3
.. 2 represents a left shift of 2 units

9. g(x) = -2f(x)
.. 2 represents a vertical expansion factor of 2
.. the minus sign is a reflection across the x-axis

10. g(x) = f(x -1) +3
.. 3 represents a vertical shift upward by 3 units
.. -1 represent s right shift of 1 unit

What is the perimeter of this square?

A.
19 in.

B.
28.5 in.

C.
30.5 in.

D.
38 in.

Answers

We need the square and the lengths of it to help you

Can someone help me please?

Answers

Since there are 5 sunglasses with browline frames and polarized lenses, you would divide 5 by 16, therefore, the answer should be 5/16.

find the greatest common factor: 14a^4 + 35a^9

Answers

the answer to your question is 7a^4

A group of kindergartners and first graders were asked whether or not they can ride a bike. This table shows the relative frequencies of the rows for the two-way table representing this situation. Select from the drop-down menus to complete the statement. The percent of kindergartners surveyed who can ride a bike is (choose-greater than ,less than, equal to) the percent of first graders surveyed who can ride a bike.
   Can ride a bike Cannot ride a bike
Kindergartners.   0.32. 0.68
First graders.    0.56.   0.44

Answers

The percentage of kindergartners who can ride a bike is less than because 0.32 is less than 0.68. 32 is less than 68. (READ YOUR QUESTIONS BEFORE POSTING.)

Answer: The percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.

Step-by-step explanation:

Given: The table shows the relative frequencies of the rows for the two-way table representing this situation.

The relative frequency for kindergartners surveyed who can ride a bike=0.32

Then, the percent of kindergartners surveyed who can ride a bike=[tex]0.32\times100=32\%[/tex]

The relative frequency for First graders surveyed who can ride a bike=0.56

Then, the percent of First graders surveyed who can ride a bike=[tex]0.56\times100=56\%[/tex]

Clearly, 32 is less than 56.

Therefore, the percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.

In the game of roulette, a player can place a $55 bet on the number 3434 and have a startfraction 1 over 38 endfraction 1 38 probability of winning. if the metal ball lands on 3434, the player gets to keep the $55 paid to play the game and the player is awarded an additional $175175. otherwise, the player is awarded nothing and the casino takes the player's $55. what is the expected value of the game to the player

Answers

the correct question is
In the game of roulette, a player can place a $5 bet on the number 34 and have a 1/38 probability of winning. if the metal ball lands on 34, the player gets to keep the $5 paid to play the game and the player is awarded an additional $175. otherwise, the player is awarded nothing and the casino takes the player's $5. what is the expected value of the game to the player

we know that
P(winning) = 1/38
P(losing) = 1-1/38 = 37/38
Expected value = 175*1/38 - 5*37/38
175/38 - 185/38 = - 10/38 =-$0.2632

The player's expected value is -$0.2632 ( is losing)

what are the lengths of the other two sides of the triangle?

Answers

To solve for area of a triangle u multiply base times height times 1/2

The proof that HG ≅ EG is shown. Given: G is the midpoint of KF KH ∥ EF Prove: HG ≅ EG What is the missing reason in the proof? Statement Reason 1. ∠EGF ≅ ∠HGK 1. vert. ∠s are ≅ 2. KH ∥ EF 2. given 3. ∠F ≅ ∠K 3. alt. int. ∠s are ≅ 4. G is the midpoint of KF 4. given 5. FG ≅ KG 5. def. of midpt. 6. △FEG ≅ △KHG 6. ? 7. HG ≅ EG 7. CPCTC SAS ASA AAS HL

Answers

In the proof we see that ∠EGF is congruent to ∠HGK because they are vertical angles. We also see that KG is congruent to FG because G is the midpoint. Additionally we have that ∠F is congruent to ∠K because they are alternate interior angles. We have two angles and the side between them, or ASA.

Which of the following sets of points forms a linear function?
A. (0, 5) (1, 8) ( 2, 11) (3, 14)
B. (1, 2) (2, 4) (3, 8) (4, 16)
C. (-2, 5) (-1, 2) (0, 1) (1, 2)
D. (-4, 8) (-3, 3) (-2, 0) (1, 3)

Answers

A. x=0, y=a*0+b=5, b=5
x=1, y=a*1+5=8, a=8-5, a=3
x=2, y=2*3+5=11
x=3, y=3*3+5=14

A is the answer

If CDEF ≅ MNPQ, then ≅ DE ≅

a. NP
b. PQ
c. NQ
d. MN

* there's no picture this is all the information the question gives me *

Answers

The answer is A.NP.

Answer:

The correct option is a.

Step-by-step explanation:

It is given that CDEF ≅ MNPQ.

We need to find the side of MNPQ which is congruent to the side DE.

The corresponding parts of congruent figures are congruent.

Since CDEF ≅ MNPQ, therefore the corresponding sides of both figures are congruent.

[tex]CD\cong MN[/tex]

[tex]DE\cong NP[/tex]

[tex]EF\cong PQ[/tex]

[tex]CF\cong MQ[/tex]

The side NP is congruent to side DE. Therefore the correct option is a.

justin runs at a constant rate, traveling 17km in 2 hours whats the equation

Answers

If you mean how much he travels in one hour
17km/2 h=8.5 km/hour

Justin's constant rate of running can be represented by the equation

=17/2 =8.5, where r is his speed in kilometers per hour. This indicates that Justin runs at a steady pace of 8.5 kilometers per hour.

To find the equation that represents Justin's constant rate of running, we can use the formula for speed, which is distance divided by time. Given that Justin travels 17 km in 2 hours, we can use these values to determine his speed.

Step 1: Identify the variables:

Let's denote:

d as the distance traveled (in kilometers)

t as the time taken (in hours)

r as the rate or speed (in kilometers per hour)

Step 2: Write down the formula for speed:

Speed =Distance/Time

Step 3: Plug in the given values:

We know that Justin travels 17 km in 2 hours. So,

d=17 km and t=2 hours.

Step 4: Calculate the speed:

=17/2=8.5 km/hr

Step 5: Write down the equation:

Now that we know Justin's speed is 8.5 km/hr, we can express it as an equation:r=8.5

So, the equation representing Justin's constant rate of running is:

r=8.5

This equation states that Justin's speed is always 8.5 kilometers per hour, regardless of the distance he travels. It's a linear equation because his speed remains constant over time

complete question=

Justin runs at a constant rate, traveling 17 kilometers in 2 hours. What is the equation that represents Justin's rate of running?"

Other Questions

What were the negative consequences of Washingtons point of view according to W.E.B. DuBois? What did he think African Americans should do? Peer pressure is when someone is pressured to do something by members of their social group. It can be a very powerful force that encourages someone to do something that he or she is not comfortable doing. Negative peer pressure may involve drugs, alcohol, tobacco, shoplifting, truancy, academic dishonesty, or sexual activity. If you felt that you were being pressured to do something that you were not comfortable doing, and you felt was wrong, how would you handle the situation? The radius of the circular lens of a magnifying glass is 4 centimeters.What is the area, in square centimeters of the glass? The new pipeline opened in 2006 carries caspian sea oil from baki (baku) to a new terminal in the country of Please help me with questions 5, 6, and 7 The poem "Landscape with the fall of Icarus" includes elements from the painting by Bruegel. Which elements are found in the painting and the poem? A. Repetition B. Foreshadowing C. A giant splash D. The boy drowning 1.-Por que fue aprisionado el ratn?2.-Que quiere decir la FRASE del autor 3.-Cual es la idea principal de la fabula? Which of the following statements MOST accurately describes the plight of U.S. farmers during the 1920s? Which statement BEST describes the role of John Marshall in the early U.S. government? A) the earliest and most powerful leader in the movement to end slavery B) the first Vice President to become President after a presidential assassination C) the official who convinced Thomas Jefferson to purchase the Louisiana Territory D) the Supreme Court Chief justice who helped expand the power of the national government What fossil fuel is responsible for 40% of the United States power generation Ocean currents are caused by all of the following except: underwater landslides surface winds tidal fluctuations density contrasts in seawater Explain what liquid diets fasting and diet pills have in common The Albatross did follow, And every day, for food or play, Came to the mariners hollo! In mist or cloud, on mast or shroud, It perched for vespers nine In Samuel Taylor Coleridges The Rime of the Ancient Mariner, why do the sailors think the Albatross follows the ship?The ship offers a good place to perch.They feed it, and it likes to play with them.It is too misty or cloudy for the bird to fly away.The ships mast and shroud attract it. What is the name of one of the ancient peoples who occupied what is now Colombia? Read the excerpt from The Scarlet Ibis. Doodle was frightened of being left. Dont go leave me, Brother, he cried, and he leaned toward the coffin. His hand, trembling, reached out, and when he touched the casket he screamed. A screech owl flapped out of the box into our faces, scaring us and covering us with Paris green. Doodle was paralyzed, so I put him on my shoulder and carried him down the ladder, and even when we were outside in the bright sunshine, he clung to me, crying, Dont leave me. Dont leave me. What do Doodles repeated pleas of Dont leave me foreshadow? Once the narrator returns to school, he leaves Doodle at home and forgets all of his plans to help him. After Doodle refuses to touch the casket, the narrator refuses to help Doodle and leaves him alone in the loft. Later in the story, the narrator races ahead and leaves Doodle to struggle behind during a terrible storm. When Doodle struggles to learn to walk, the narrator leaves and Doodle is left sitting alone in Old Woman Swamp. Which of the following best states the theme of Act 4? a. Magic cannot solve problems. c. Humans cannot understand the fairy world. b. Love must be in balance. d. Young lovers should be given freedom. Last year, at the Great American Pie Festival, over 16,000 slices of pie was eaten. If each piece of pie is 1/8 of and entire pie, how many pies were eaten at the festival? Rank the nine career characteristics in order of their importance to you with the first being the most important Represent the proportional relationship described with an equation where p equals pepperoni and z equals pizza: eighteen pepperoni for each pizza A)p = 18z B)18p = z C)p = 18 z D)z = 18 p Which American author's works include poems about an Indian named Hiawatha and Paul Revere's famous ride?