2
Linda paid $5.50 for 4 pounds of
strawberries. How much did she pay
per pound of strawberries?

Answers

Answer 1

Answer:

$ 1.38

Step-by-step explanation:

5.50 ÷ 4 = 1.375. rounded to 2 dp: 1.38


Related Questions

WILL GIVE BRAINLIEST !!
A helicopter lifts 75m vertically into the air and then comes back down to the ground.
a) What is the distance of the helicopter’s flight?
b) What is the displacement of the helicopter’s flight? Show your work

Answers

Distance is the total length covered by an object.

Displacement is the distance between the final point and the initial point.

The distance of the helicopter's flight is 150 m

The displacement of the helicopter's flight is zero.

What is displacement?

Displacement is the distance between the final point and the initial point.

We have,

A helicopter lifts 75m vertically into the air and then comes back down to the ground.

Distance is the total length covered by an object.

Distance of the helicopter's flight.

= 75m + 75m

= 150 m

Displacement of the helicopter's flight.

= Final point - Initial point

= 0 - 0

= 0  

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Can someone sketch the graph plsss? I rlly need help to sketch it​​​

Answers

Answer:

1. Plot x = 0

(A. IF YOU CAN EASILY FIND IT, PLOT Y = 0)

(B. BONUS: PLOT A FEW EASY TO CALCULATE POINTS LIKE X = 1 & X = -1)

2. Figure out what happens when x is really big (in the positive and negative direction)

3. Optional: look for any “significant” x-values

4. Connect the dots and finish!

Step-by-step explanation:

1. Plot x = 0

The first thing we want to do is get some points up on our graph, so we want to pick the ones that will be easy to calculate. For almost any equation, plugging in x = 0 and solving for y is fast and easy to do by eye, and almost always doable without a calculator. For our example equation:

So, the first point we’ll put on our graph is (0, -4).

This is a statistics/applications question

Answers

Using percentages, the answer to all the subparts are shown:

(A) % who scored between 46 and 106: 67% approx(B) % who scored less than 46: 17% approx(C) % who scored between 61 and 91: 33% approx(D) % who scored between 76 and 121: 50%

What are percentages?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.

So, calculate the percentages as follows:

(A) % who scored between 46 and 106:

Total marks: 121 - 30 = 90Students between 46 and 106: 106 - 46 = 60

Then,

60/90 × 1002/3 × 10066.66

Rounding off: 67% approx

(B) % who scored less than 46:

Total marks: 121 - 30 = 90Students who scored less than 46: 46 - 31 = 15

Then,

15/90 × 10016.66

Rounding off: 17% approx

(C) % who scored between 61 and 91:

Total marks: 121 - 30 = 90Students between 61 and 91: 91 - 61 = 30

Then,

30/90 × 1001/3 × 10066.6633.33

Rounding off: 33% approx

(D) % who scored between 76 and 121:

Total marks: 121 - 30 = 90Students between 76 and 121: 121 - 76 = 45

Then,

45/90 × 10050%


Therefore, using percentages, the answer to all the subparts are shown:

(A) % who scored between 46 and 106: 67% approx(B) % who scored less than 46: 17% approx(C) % who scored between 61 and 91: 33% approx(D) % who scored between 76 and 121: 50%

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Which of the following has a graph that is wider than the graph of y = 5x² - 3?
-
y = 8x² - 10
y = 5x² + 2
y=-6x² + 1
y = 3x² + 4

Answers

The equations y = -6x² + 1 and y = 3x² + 4 both have graphs that are wider than the graph of y = 5x² - 3.To determine which equation has a graph wider than the graph of y = 5x² - 3, we need to compare the coefficients of x² in each equation.

A wider graph indicates a smaller coefficient in front of x², which means the parabola will be less steep and have a broader shape.Let's compare the coefficients:y = 8x² - 10: The coefficient is 8, which is larger than 5. Therefore, this equation does not have a wider graph than y = 5x² - 3.

y = 5x² + 2: The coefficient is 5, which is equal to the coefficient in y = 5x² - 3. Therefore, the graphs of these two equations will have the same width.

y = -6x² + 1: The coefficient is -6, which is smaller than 5. Hence, this equation has a wider graph than y = 5x² - 3.

y = 3x² + 4: The coefficient is 3, which is smaller than 5. Hence, this equation also has a wider graph than y = 5x² - 3.

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The formula for distance is expressed as d = rt, where d is distance, r is the rate, and t is time.
How long would it take a car to travel 348 miles if it is traveling at a rate of 60 miles per hour?
hours

Answers

Answer:

5.8 hours

Step-by-step explanation:

First, you just plug it the given information.

Turn the equation to t=d/r by dividing the rate by both sides.

Plug it in 348miles/ 60 miles per hour

It'll take 5.8 hours for the car to travel 348 miles at the rate of 60 miles per hour.

If a truck weighs 20​% more than a​ car, then the​ truck's weight is ​% of the​ car's weight.

Answers

Truck weight ÷ car's weight

= 1.20x / x
= 1.20

= 120% when converting the decimal to a per cent

The trucks weight is 120% of the car's weight

Linear regression question 8
Use graph below using all the points on the graph to figure out the line of best fit and the estimate of Carter’s weight 15 weeks into his diet.

Answers

The linear regression equation from the given scatter plot is:

y = -1.62x + 215.64.

Using this function, the estimate of his weight 15 weeks into the diet is:

191.34 pounds.

How to obtain the linear regression equation?

The linear regression equation is obtained inserting the points of the scatter plot of the situation into a linear regression calculator.

From the given scatter plot, the points are given as follows:

(0,216), (1,214), (2,213), (3,210), (4,210), (5,207), (6,206), (7,202), (8,203), (9,202), (10,200)

Inserting these points into a calculator, the line of best fit is given as follows:

y = -1.62x + 215.64.

The estimate weight at the 15th week of the diet is the numeric value of the function when x = 15, that is, the lone instance of x in the function is replaced by 15, as follows:

y = -1.62(15) + 215.64 = 191.34 pounds.

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ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST​

Answers

The value of constant C is 50.

Explain linear equation.

Equations with a maximum degree of one are referred to as linear equations. According to this rule, a variable in a linear equation cannot have an exponent greater than 1.

A linear equation's graph is always depicted as a straight line. There are linear equations for one variable and two variables, respectively.

Given, the linear equation is 12.5x+5y = C

Here, constant C.

Consider one points from given table x = -2 and y = 15,

Putting the value of x and y,

C = 12.5×(-2) + 5×15

   = -25 + 75

   = 50

For point, x = 0 and y = 10,

Putting the value of x and y,

C = 12.5×0 + 5×10

   = 50

For point, x = 2 and y = 5,

Putting the value of x and y,

C = 12.5×2 + 5×5

   = 25 + 25

   = 50

Given, x = 4 and y = 0,

Putting the value of x and y,

C = 12.5×4 + 5×0

   = 50

Therefore, the value of constant C was found to be 50.

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so many points if dine quickly

Answers

Answer is ∠PIK is your corresponding angle

Reason - a corresponding angle is where the angles have the same position at each intersection when a straight line (transversal) crosses two others. If the two lines are parallel, the corresponding angles are equal.

Consider the equation and the following ordered pairs: (1,y) and (x,−3).

6x+3y=15
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Answer
Keyboard Shortcuts
Complete the table below.

x y
row 11 Answer

row 2 Answer
−3

Answers

Answer:

(1,3)

(4,-3)

Step-by-step explanation:

To find y, replace x with 1 in the equation and solve for y

6x + 3y = 15

6(1) + 3y = 15

6 + 3y = 15  Subtract 6 from both sides

3y = 9  Divide both sides by 3

y = 3

(1,3)

To find x, replace y with -3 in the equation and solve for x

6x + 3y = 15

6x + 3(-3) = 15

6x - 9 = 15  Add 9 to both sides

6x = 24  Divide both sides by 6

x = 4

(4, -3)

Which answer choice represents the difference of 20 and 3 times a number?

Answers

The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) .

In the question ,

it is given that

the number is x ,

we have to find the expression , that represents the difference of 20 and 3 times a number .

three times the number x is denoted by 3x .

and the difference of 20 and three times the number x is 20 - 3x .

the expression is (20 - 3x).

Therefore , The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) 20 - 3x .

The given question is incomplete , the complete question is

Which answer choice represents the difference of 20 and 3 times a number x ?

(a) 3x + 20

(b) 20(3x)

(c) 20 – 3x

(d)  (20 · 3)x

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Evaluate the given function for f (2).

Answers

The value of f(2) is 2.

What is graph function?

The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function.

All y-coordinates of the graph function are an output of the graph function.

All x-coordinates of the graph function are an input of the graph function.

f(2) is an output of the function.

Here find the y-coordinates of the point on the graph when the value of x is 2.

(2,3) is a point on the graph.

Thus f(2) = 3

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A group of 3 students plants 141 seeds. Each student plants the same number of seeds.
How many seeds does each student plant?
Write an expression you can use to solve
the problem.

Answers

Answer:

to find the answer you just need to divide 3 out of 141

141÷3=47seeds per each student

3x=141

x=141÷3

x=47

The equation is represented as A = S/3 , where S is the total number of seeds and A is the number of seeds planted by each student and the value of A = 47 seeds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of seeds by each student be A

Now , the equation will be

The total number of seeds be S = 141 seeds

The number of students be n = 3 students

So , the total number of seeds planted by each student A = total number of seeds S / number of students n

A = S / n

Substituting the values in the equation , we get

Total number of seeds planted by each student A = 141 / 3

Total number of seeds planted by each student A = 47 seeds

Therefore , the value of A is 47 seeds

Hence , the number of seeds is 47 seeds

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8x - 6 = 2(4x-3)
Does the equation have one
none, or infinite solutions?
Explain why.

Answers

The given linear equation has only one solution i.e. x = 3/4

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A linear equation in one variable has

(a) Only one solution

(b) Two solutions

(c) More than two solutions

(d) No solution

Here,

On solving we have 8x - 6 = 0 or x = 3/4. The above linear equation is only true if x = 3/4 and

Hence, the given linear equation has only one solution i.e. x = 3/4.

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Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion
factor. Use the table given to create conversion factors. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.

Answers

The height of the 5.2 feet person in centimeters is 158.496 cm.

Explain unit conversion.

A conversion factor must be added, subtracted, multiplied, or divided throughout the multi-step process of unit conversion. Additionally, selecting the appropriate number of significant digits and rounding may be necessary.

Different conversion units are used to quantify various measurements. By definition, unit conversion is the process of converting two measures of the same quantity between distinct units by multiplying or dividing them.

In mathematics, conversion is the process of changing a value's form, such as from millimeters to inches or liters to gallons. Units are used for measurements of length, weight, capacity, temperature, and speed.

Given,

Height of a person = 5.2 feet.

The conversion between inches and centimeters must also be included.

First, convert feet to inches.

1 foot = 12 inches

Converting the given height to inches,

Height = 5.2 × 12

= 62.4 inches

Now, we will convert the height into centimeters,

To convert, we will multiply by 2.54

Height = 62.4 × 2.54

= 158.496 cm

Therefore, the height of the person in centimeters is 158.496 cm

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What fraction is represented by .8 point is a blank which point represents 56 point blank represents 56

Answers

The fraction that represents 0.8 is 4/5 .

Fraction can be defined as a numerical quantity that is part of a whole number  . it is written in the form of a/b , where a is called the numerator and b is called the denominator .

For Example , 1/2 , 3/8 4/9 are all fractions .

In the question ,

it is given that the point is 0.8 ,

we need to convert this point in fraction ,

the point 0.8 in fraction can be written as 8/10 ,

= 8/10

simplifying further ,

we get

= 4/5

Therefore ,The fraction that represents 0.8 is 4/5 .

The given question is incomplete , the complete question is

What fraction is represented by 0.8 ?

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What is 3 inches above average written as an integer

Answers

The integer +3 describes the statement, 3 inches above average.

What is an average?

A single number chosen to represent a group of numbers is called an average, and it is typically calculated by dividing the total number of numbers in the group by the number of numbers in the group. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

One point in the average refers to the amount of 1 inch.

If the average is above 3 inches, it means that the value of the average is above 3 inches. It further implies that the total value has gained 3 inches on that average.

Inches mainly describe the gains and losses in short-time investments. A positive sign (+) shows the above average, and a negative sign (-) represents the below average.

Therefore, the integer +3 describes the statement, 3 inches above average.

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Subtract and simplify.

Answers

With the help of subtraction we can say that the answer is =21/15

What is subtraction?The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).The operation of subtraction is used to calculate the difference between two numbers. If you remove a few items from a collection of things, the group will get smaller.

Acc to the question-

32/15 - 11/15as the denominator is same21/15more simplifying we get = 1.4

Hence,The answer is = 21/15

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Answer:

21/15

Step-by-step explanation:

Given problem,

→ (32/15) - (11/15)

Let's solve the given problem,

→ (32/15) - (11/15)

→ (32 - 11)/15

→ 21/15

Hence, the answer is 21/15.

Please Help!!!!
Kim and Tracy are collecting data for their final project in their psychology
class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.
A. Identify a possible problem with this type of sampling method. (6 points)

B. How might Kim and Tracy improve on their sample design so as to get more
accurate information from the shoppers at the mall?

Answers

Answer:

below

Step-by-step explanation:

A problem would be that they are not surveying people from multiple places. They are doing it at 2 opposite stores, at the same times. They should try multiple different stores at other days and times to get more objective data.

Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.

A. 1/100
B. 1/80
C. 1/95
D. 1/76

Answers

Answer:

I think its C. 1/95

Step-by-step explanation:

I am not sure this is the answer, i haven't done this math in ages so I'm a bit rusty so good luck on the test!

Are These acute obtuse or right

Answers

Obtuse for the first one and right for the second one

Given m=-1/2 and n= -1/3 which is greater

Answers

Answer: n is greater than m

Step-by-step explanation:

if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)

so n is greater (remember its negative so higher numbers are actually lesser in value)

Hope this helped... :)

A store sells grapes for $1.99 per pound, strawberries for $2.50 per pound, and pineapples for
$2.99 each. Jonathan has $25 to buy fruit.
He plans to buy 2 more pounds of strawberries than grapes. He also plans to buy 2 pineapples.

Answers

The maximum number of whole pounds of grapes bought by Jonathan is 3 pounds.

What is meant  by the term inequality?In mathematics, "inequality" describes the connection between two factors or values that aren't equal to one another.You can cross inequalities when they are connected. A will therefore be greater than c if an is larger than b and b is larger than c.

For the given question;

The rate of grapes =  $1.99 per pound

The rate of strawberries =  $2.50 per pound

The rate of pineapples =  $2.99 per pound

Let x be the number of pounds of grapes.

strawberries = x + 2

Total price paid by Jonathan = $25

Thus, the inequality becomes.

2(2.99) + 1.99x + 2.50(x + 2) ≤ 25

Solve the inequality to find the pounds of grapes.

5.98 + 1.99x + 2.5(x + 2) ≤ 25

x ≤ 3.11

x = 3

Thus, the maximum number of whole pounds of grapes bought by Jonathan is 3 pounds.

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The complete question is-

A store sells grapes for $1.99 per pound, strawberries for $2.50 per pound, and pineapples for

$2.99 each. Jonathan has $25 to buy fruit.

He plans to buy 2 more pounds of strawberries than grapes. He also plans to buy 2 pineapples.

If x represents the number of pounds of grapes, write an inequality in one variable that models this

scenario.

Determine algebraically the maximum number of whole pounds of grapes he can buy.

4y-5x=3(4x-2y+1) in standard form

Answers

Answer:

7x+10y=3

Step-by-step explanation:

Standard Form= Ax+By=c

Distribute first

4y-5x=12x-6y+3

Add 6y

10y-5x=12x+3

Add 12x

7x+10y=3

At 2 hours before sunset, the temperature is 0°F. At 2 hours after sunset, the temperature is −4°F. Identify the equation representing the temperature y, in degrees Fahrenheit, at x hours after sunset

Answers

The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At 2 hours before sunset, the temperature is 0°F.

And,  At 2 hours after sunset, the temperature is −4°F.

Now,

Let the temperature in degrees Fahrenheit = y

So, We can formulate;

⇒ y = - 4°x + 0°

Thus, The correct equation to representing the temperature y, in degrees Fahrenheit, at x hours after sunset will be;

⇒ y = - 4°x + 0°

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Helppp it’s due tomorrow…

Answers

The answer is C
Since the triangle is a right triangle it has to equal 90 degrees
30+28=58
90-58=32

What is the measure of each angle of a regular 22-gon? If necessary, round to the nearest tenth.

Answers

The measure of each angle of a regular 22-gon is 163.6 degrees.

How to find the sum of angles of a polygon?

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

Polygon can be named base on the number of sides they possess. For example pentagon has 5 sides, hexagon has 6 sides, heptagon has 7 sides, octagon has 8 sides, nonagon has 9 sides and decagon has 10 sides.

Therefore, a regular polygon is one which sides and angles are congruent.

A regular  22-gon has 22 sides.

The measure of each angle of 22-gon can be found as follows;

angle= 180(n - 2) / n

where

n = number of sides

angle = 180 (22 - 2) / 22

each angle = 180(20) / 22

each angle = 3600 / 22

Therefore,

each angle =  163.636363636

each angle = 163.6 degrees.

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stu took a test. There were 60 questions. He answered 35 correctly. What grade did Stu make

Answers

Answer:

58%

Step-by-step explanation:

35/60=0.58333=58/100=58%

35/60 = 0.58

0.58333 = 58%

Answer : 58%

Which of these types of angles have the same measure after being rotated, reflected, or translated in a coordinate plane?

I. Acute Angles

II. Right Angles

III. Obtuse Angles

a
I. II. and III.
b
I. and II. only
c
II. and III. only
d
I. only

Answers

The type of angles have the same measure after being rotated, reflected, or translated in a coordinate plane is a I. II. and III.

What is transformation?

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation is basically of two major divisions

Rigid transformationnon rigid transformation

Non rigid transformation are the transformation where the dimension or size of the object will be different from the image, example is dilation

In rigid transformation, the dimensions of the object is maintained through out the transformation examples of rigid transformation are

rotationreflectiontranslation

Since the transformation types mentioned are all rigid transformation hence all the angles will remain same

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The carousel on the national mall has four rings of horses. Kiran is running on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center then the inner ring is. And one rotation of the carousel, how much farther does mai travel from Kiran. One rotation takes 12 seconds. How much faster does mai travel than kiran?

Answers

One way to find how much farther Mai travels from Koran would be to calculate the circumference, the distance traveled for both and then subtract.

Mai

C = 3.14 x 34
C = 106.76 feet

Kiran:

C = 3.14 x 18
C = 56.52 feet

106.76 feet - 56.52 feet=
50.24 feet

The difference between the two is 50.24 feet.

Answer:

50.24

Step-by-step explanation:

so u subtract the distanse not 9-4 u have to find a porportional ratio it was 100 - 50 or something add u get 50.24

tbh i didnt knw i just searched it up and im only in 6th grade so im not the the smartest in the world

i have no clue what the second on is so good luck with that

Other Questions
Even the social studies teacher herself could not find the answer to the tough question.Read the sentence.NEED ASAP! In this sentence, herself is used asa personal pronoun.an object pronoun.a reflexive pronoun.an intensive pronoun. Given m || nfind the value of x and y.(6x+19) (2y+1)(3x+8)mn A=5x12 start color #11accd, angle, A, equals, 5, x, minus, 12, degrees, end color #11accd \qquad \green{\angle B=2x + 24^\circ}B=2x+24 aball is through horizontal From The top at buiding the ball lands I00m for building and It takes 4 Second For It to hit The ground Find: A, The Inital horizontal componet OF Velocity How did monopolies lead to new social and political movements in the late 19th and early 20th centuries? nelude at least three detail from the text in your response. 5. What prompts Laertes to jump into Ophelia's grave? What does Hamlet say aboutOphelia to Laertes? Explain the significance of Operation TORCH. What was the difference between a direct versus peripheral strategy? What was Stalin's view of this policy? Two angles in triangle PQR are congruent, P and Q; R measures 28.45. What is the measure of P? 28.45 75.775 121.55 151.55 Describe the conditions of the first African enslaved persons in the British Colonies in the 1600s. What relevance does the novel 1984 have for readers in the 21st century? What does this novel teach us? If it teaches nothing, why do you say that? The carbon cycle is one type of biogeochemical cycle that is necessary for the movement of matter.What would happen if plants were removed from the environment? Question 6 of 10Vladek told Artie that after Anja survived the Holocaust, she ---.A rewrote her wartime diariesB sold her father's art collectionC kept in touch with a former NaziD started a Holocaust survivor's group imagine you have been called upon to negotiate between the new england colonists and native americans. what would you tell each side about the other to help them overcome their misunderstandings? Which pairs of triangles are similar? check all that apply. abc ~ def def ~ ghi ghi ~ abc ghi ~ jkl jkl ~ abc For the third time, I studied the room as discreetly as possible, trying to look for anything out of place. Somehow, I had previously missed an ordinary looking man in the corner booth; he was easy to overlook, yet he seemed like he overlooked nothing as he also scanned the room, fiddling with his keys. My room study was interrupted when one of my crew members, growing paranoid, suggested we leave. I was reluctant to go just yet, but the others agreed. With that, we departed and made our way along the back streets and alleys as discreetly as possible.Hearing orders being barked ahead, I looked up and saw a group of military police officers marching towards us. We quickly dove down a narrow alleyway and ducked behind a car. Had they seen us? If so, we were trapped now as this alley was a dead end.where is the foreshadowing happening in this? Graph the function rule. Tell whether the graph is continuous or discrete. The height h, in inches, of the juice in a 20-oz bottle depends on the amount of juice j, in ounces, that you drink. This situation is represented by the function rule h=80.4j. water flows from the pipe shown in the figure with a speed of 8.0 m/s what is the water pressure as it exits into the air? what is the height h of the standing column of water? Question 3 of 10The blue segment below is a diameter of 0. What is the length of the radiusof the circle?7.70A. 15.4 unitsB. 3.85 unitsC. 11.55 unitsD. 7.7 units Submit your answer from Exam Activity 18-1 that infers why humans would not be able to repair and grow muscle without bacteria. Alexander hamilton said that the power of the supreme court rested on the power of ______.