Liz had 140 pens and inna had 100 pens. after inna gave some of her pens to liz,liz had 3 times the amount of pens that inna had. how many pens did inna give

Answers

Answer 1

Answer:

40

Step-by-step explanation:

140 + x  = 3*(100-x)

140 + x = 300 - 3x

x + 3x = 300 - 140

4x = 160.

x = 40.


Related Questions


A ball thrown straight upward from a height of 6 ft with an initial velocity of 55 ft per sec has height h(t) feet after t seconds,
where h(t)=-16t+55t+6. What is the ball's average velocity (that is, its average rate of change in height) during the
first second?
The average velocity during the first second is
(Type an integer or a simplified fraction.)
feet per second

Answers

Answer:

16t+55t+6t=77. 55-6=49

Two cars leave from a place at the same time they travel in opposite directions one at 62 KM per hour the other at 48 KM per hour how long will it take before they are 550 KM apart

Answers

If two  cars leaves from a place at the same time they travel in opposite directions and the speed of the first and second cars are 62 km per hour and 48 km per hours respectively , 5 hours will take before they are 550 km apart

The speed of the first car=62 km per hour

The speed of the second car=48 km per hour

Two cars leave from a place at the same time they travel in opposite directions

The relative speed of the car = Speed of the first car - (- Speed of the second car )

=62-(-48)

=110 km per hour

Time take = Distance between the two cars / Relative speed of the two care

=550/110

=5 hours

Hence, if two  cars leaves from a place at the same time they travel in opposite directions one at 62 km per hour the other at 48 km per hour, 5 hours will take before they are 550 km apart

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Question
Refer to the Newsela article, "Doctoral Student Played a Big Part in First Black Hole Photo."

How does Bouman contribute to taking the first photograph of a black hole?

Responses

Bouman is the first person to suggest that black holes exist in space.

Bouman invents a telescope that can gather images taken by eight telescopes located around the world.

She and her team create an algorithm that makes it possible to collect data and combine it into one image.

Her TED talks on black holes inspire other scientists to figure out how to photograph them.

Answers

Bouman contributed to taking the first photograph of a black hole as she and her team created an algorithm that makes it possible to collect data and combine it into one image.

What facts are drawn from Newsela article?

The article highlighted the importance of Katie Bouman in leading her team who created a computer software capable of using an algorithm that analyzes data and creates an image based on it. Its elaboration took about two years to complete but the results were very promising and promoted a great advance for science.

In conclusion, Bouman and the team were able to develop series of algorithms that converted telescopic data into the historic photo shared by the world's media.

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prove that (a - b)2 = (b - a)2

Answers

Answer:

Step-by-step explanation:

(a - b)² =

(a - b)(a - b) =

[(- 1)(b - a)] × [(- 1)(b - a)] =

(- 1)(- 1)(b - a)(b - a) =

(b - a)²

3) Write the equation of the line (in slope-intercept) that passes through (3,10)

a) and is parallel to y = x - 1


b) and is perpendicular to y = x - 1

Answers

The Equation of line -

When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7

What is the slope intercept form of a line?

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7

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4x^-x/x^3-2 how much

Answers

Answer:

4x^-x-1

Step-by-step explanation:

4x^-x/x^3-2

= 4x^-x/x

= 4x^-x-1

Rearrange the equation
a= 1/4 b
to make b the subject.

Answers

b = 4a is the answer.

How to make b a subject?

Given,

a= 1/4 b

To find:

Make b the subject, the given equation

Solution:

Take 4 to the side of a

4a = 1b

Therefore,

b = 4a

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In a math class with 23 students, a test was given the same day that an assignment

was due. There were 14 students who passed the test and 15 students who completed

the assignment. There were 12 students who passed the test and also completed the

assignment. What is the probability that a student chosen randomly from the class

did not complete the homework?

Answers

Answer: 8/23

Step-by-step explanation:

Make a two-way table

                             Did Assignment        Didn't do Assignment

Passed                            12                                        2

Did not pass                    3                                        6

Total                                 15                                       8                     = 23

2+6=8

8/23

Given f(x)=√(3x-12)+2 what is the range in set notation? {y|y ∈ R, y ≥ }

Answers

The function f(x)=[tex]\sqrt{3x-12} +2[/tex]. The Domain of the function is 4, we can also write {y|y∈R,y≥4}

Given that,

The function f(x)=[tex]\sqrt{3x-12} +2[/tex]

We have to find the range of the function.

Range is nothing but y but in the equation we have x so we find domain.

The domain is the set of inputs that a function will accept is known as the domain of the function in mathematics. It is occasionally indicated by dom(f), where f is function.

More specifically, f:X--->Y the domain of f is X given a function. It should be noted that in contemporary mathematical terminology, a function's domain is a component of its definition rather than a quality.

Take the function

f(x)=[tex]\sqrt{3x-12} +2[/tex]

Now,

3x-12≥0

3x≥12

x≥12/3

x≥4

Therefore, The Domain of the function is 4, we can also write {y|y∈R,y≥4}

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Answer:

2

Step-by-step explanation:

2

At the beginning of the year, Salma had $35 in savings and saved an additional $8 each week thereafter. Henry started the year with $95 and saved $5 every week. Let SS represent the amount of money Salma has saved tt weeks after the beginning of the year and let HH represent the amount of money Henry has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the number of weeks after the beginning of the year until Salma and Henry have the same amount of money saved.

Answers

The number of weeks when Salma and Henry would have the same amount of money is 20 weeks.

How many weeks would they have the same amount?

The form of the equations that represent the total amount of money saved is :

Total amount in the account = initial amount in the account + (amount added each week x number of weeks)

SS = $35 + ($8 x tt)

SS = $35 + $8tt

HH = $95 + ($5 x tt)

HH = $95 + $5tt

When they have the same amount in their account, the two equations woud be equal.

HH = SS

$95 + $5tt  =  $35 + $8tt

$95 - $35 = $8tt - $5tt

$60 = $3tt

tt = $60 / 3

tt = 20 weeks

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Draw the graph of f(x)=[[x - 4]] - 2

Answers

Answer:

See attachment.

Step-by-step explanation:

Given absolute value function:

[tex]f(x)=|x-4|-2[/tex]

The parent absolute value function is f(x) = |x|.

Graph of the parent absolute value function:

Vertex at (0, 0)|y| = -x  if x ≤ 0|y| = x  if x ≥ 0

Translations

[tex]\textsf{For $a > 0$}:[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}.[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}.[/tex]

The graph of the given function is a transformation of the parent function by:

Translation of 4 units right.Translation of 2 units down.

Therefore, the vertex of the given function is (4, -2).

Find two further points on the graph by inputting x-values either side of the x-value of the vertex into the given function:

[tex]\begin{aligned}\implies f(8)&=|8-4|-2\\&=|4|-2\\&=4-2\\&=2\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(0)&=|0-4|-2\\&=|-4|-2\\&=4-2\\&=2\end{aligned}[/tex]

To draw the graph of the given function:

Plot the vertex (4, -2).Draw a straight line from the vertex through point (8, 2).Draw a straight line from the vertex through point (0, 2).

ASAP PLEASE IF YOU CAN
Given the linear equation below, create a table of values to obtain ordered pairs. Plot these ordered pairs to create a linear graph. Based on the graph you created, find three more solutions to the equation.


y equals 3 over 4 x minus 6

Answers

The three more solutions to the given linear equation are (2,-9/2), (6,-3/2), and (5,-9/4).

Given equation:-

y = (3/4)x - 6

We have to create a table of values to obtain ordered pairs.

Also, we have to plot these ordered pairs to create a linear graph and based on the  graph we have created, we have to find three more solutions to the equation.

Let x = 0

y = 0 - 6 = -6

Ordered pair = (0,-6)

Let y = 0

0 = (3/4)x - 6

6 = (3/4)x

x = 8

Ordered pair = (8,0)

Let x = 4

y = 3 - 6 = -3

Ordered pair = (4,-3)

The graph of these three ordered pairs is attached below.

Based on the graph the other 3 ordered pairs that we can find are (2,-9/2), (6,-3/2), and (5,-9/4).

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Find the value of r so the line that passes through the pair of points has the given slope. (6, 8), (r, −2), m=1

Answers

Answer:

r=-4

Step-by-step explanation:

use the slope formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Then plug in x and y values and set that equal to m=1

1=[tex]\frac{-2-8}{r-6}[/tex]

multiply r-6 over

r-6=-10

r=-4

Help me with this pleaseeee

Answers

Answer:

2, 3

Step-by-step explanation:

[tex]g(x)=\frac{1}{2}(4x+6) \\ \\ =2x+3[/tex]


What is the shape of the base of the figure?
16 km
8 km

Answers

Answer: rectangle

Step-by-step explanation: brainliest please? i could really use it

Answer:

most likely 16 if its a long object or 8 if its a short one

Step-by-step explanation:

if u provided a graph it could help alot

7
The curve with equation y=pr²-4px-5p, where p is a constant does not intersect the line with
equation y=2x-12.
(a) Show that 9p²-8p+1 <0
(b) Find the set of possible values for p.

Answers

The set of possible values for "p" is ((4-√7)/9, (4+√7)/9).

The equation of the line is :y = 2x - 12The equation of the curve is :y = px² - 4px - 5pUsing the above two equations, we get the relationship that is given below :px² - 4px - 5p = 2x - 12px² - (4p+2)x - 5p+12 = 0(a) We are given that the curve and the line don't intersect, so the equation should not have a root.For the quadratic to not have a real solution, the discriminant is negative.b² - 4ac < 0[-(4p+2)]² - 4(p)(-5p+12) < 0(4p+2)² + 4(p)(5p-12) < 016p² + 4 + 16p + 20p² - 48p < 036p² - 32p + 4 < 09p² - 8p + 1 < 0(b) 9p² - 8p + 1 < 09p² - 8p + 1 = 0p = (4±√7)/9For the inequality to satisfy:p∈((4-√7)/9, (4+√7)/9)

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Lucy earns $15.75 per hour. Last week she worked 25 hours. What is her gross pay?
Lance has a yearly salary of $52,300 and pays 21% in taxes. Answer the following

a. How much does he pay in taxes?

b. What is his net pay?

c. If he receives two paychecks a month, how much will each paycheck be?

Answers

If Lucy earns $15.75 per hour. Last week she worked 25 hours her gross pay is $393.75 . If Lance has a yearly salary of $52,300 and pays 21% in taxes her  taxed amount  is $10,983, net pay is  $41,317 and paycheck is $2,179.

Gross pay

1. Gross pay

Using this formula to determine the gross pay

Gross pay = Amount earn per hour × Number of hours worked

Let  plug in the formula

Gross pay =  $15.75 per hour × 25 hours

Gross pay = $393.75

2a. Taxed amount

Amount in Tax = Salary × Tax percentage

Amount in taxes = $52,300 × 21%

Amount in taxes = $10,983

2b. Net pay

Net pay = Gross  - Deduction

Net pay =  $52,300 - $10,983

Net pay = $41,317

2c. Paycheck

Paycheck = $52,300 / 24 months

Paycheck = $2,179 per paycheck

Therefore we can conclude that the her gross pay is $393.75

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Timmy is working with 2 sets of numbers.
Set A has all the odd number from 1-10.
Set B has all the even numbers from 2-20.
What is the ratio that represents the prime
numbers in Set A to the prime numbers in Set B?
(HINT: Think about what prime numbers are.)

Answers

Answer:

there's no ratio, or maybe u can help me out

Answer these question

Hannah needs to build two wall, One has a height of 1024 feet and the other of 672 feet. If hannah has to use bricks of equal sizes for both wall, what is the biggest size of each brick she can use. ( Answer in feet)


There are now x cans stacked on a shelf that hold 36 cans when full, If 4 of these cans were removed, the shelf would be half full. Find x

Answers

1. The biggest size of each brick that Hannah can be able to use is 32.

2. The value of x when there are now x cans stacked on a shelf that hold 36 cans when full is 22 cans.

How to illustrate the information?

From the information, Hannah needs to build two wall, one has a height of 1024 feet and the other of 672 feet and she has to use bricks of equal sizes for both wall. It should be noted that this implies that we've to calculate the highest common factor for 672 and 1024. This is 32.

2. The value of x will be:

= (36/2) + 4

= 18 + 4

= 22

Therefore, x is 22. This means that there are 22 cans.

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HELPP ONBB- I just realized this is due today!!

Answers

The rate of change (m) = 9

The starting number (b) = 100

The equation is: y = 9x + 100

(0, 100) is the ordered pair for the starting number.

See the image for the graph of y = 9x + 100.

How to Create and Graph the Equation of a Line?

To create the equation of a line, we need to determine the following:

Y-intercept/starting value = b

Slope of the line/rate of change = m

The ordered pair of the y-intercept or starting value is represented as (0, b), where b is the value of y on the y-axis where the line intercepts the y-axis and x = 0 at this point.

These values can be substituted into y = mx + b, which represents the equation of the line in slope-intercept form.

From the information given, we have:

Y-intercept/starting value (b) = 100

Slope of the line/rate of change (m) = 9

To write the equation of the line, substitute m = 9 and b = 100 into y = mx + b:

y = 9x + 100

The ordered pair for the starting number would be: (0, 100).

The image below shows the graph of y = 9x + 100.

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Segment addition and midpoints
In the figure below, B is between A and C, and C Is between B and D. If AC=8, BC=5, and BD=9, find AD.

Answers

The line segment AD is 12 units.

How to find the segment AD using midpoint?

The midpoint is the middle point of a line segment.

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

The midpoint is halfway between the two end points:

Therefore, B is between A and C.

C is between B and D.

Hence,

AC = 8

BC = 5

BD = 9

AD = ?

Therefore,

AD = AB + BC + CD

AB = AC - BC

AB = 8 - 5

AB = 3 units

CD = BD - BC

CD = 9 - 5

CD = 4 units

Therefore,

AD = 3 + 5 + 4

AD = 12 units

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20 POINTS!

Please Help Me!

What is the equation of the line perpendicular to -2x + 3y = -12 and which passes through the point (2, -5)? Write your answer in slope-intercept form. Show all your work.

Answers

Explanation:

the equation of a line in

slope-intercept form

is.

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange

2

x

3

y

=

12

into this form

subtract 2x from both sides

3

y

=

2

x

+

12

divide all terms by

3

y

=

2

3

x

4

in standard form

with

m

=

2

3

given a line with slope m then the slope of a line

perpendicular to it is

x

m

perpendicular

=

1

m

m

perpendicular

=

1

2

3

=

3

2

y

=

3

2

x

+

b

is the partial equation

to find b substitute

(

2

,

6

)

into the partial equation

6

=

3

+

b

b

=

6

+

3

=

9

y

=

3

2

x

+

9

equation of perpendicular line

[tex]1/1+\sqrt2+1/\sqrt2+\sqrt3+1/\sqrt3+\sqrt4[/tex]

Answers

18
+
9

2
+
8

3
6
And in decimal form it would be 7.43

Plot the image of point D under the dilation about the origin (0 , 0) with a scale factor of 3

Answers

The dilated picture of the point D dilation that is necessary is -6.

Given that,

To determine thee dilated image of point D (-2, 0), on the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The scale factor is defined as the ratio of modified change in length to the original length.

Here,Formerly point D is located at (-2, 0).

Now multiplying with the scale factor 3 the point goes

(-2 * 3, 0*3) => (-6, 0).

Thus, The required dilated image of the dilation of point D is -6.

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Solve for the value of X

Thank you so much to anyone who solves this!!

Answers

Answer:

x=37

Step-by-step explanation:

3x + 3 + 2x - 8 = 180

solve for x and x = 37

hope this helped

have a good day sir ^^

Answer:

x=37

Step-by-step explanation:

180=5x+3-8

180=5x-5

+5      +5

185=5x

/5     /5

37=x

x=37

suppose y varies directly with x, and y=6 when x=-3. find x when y=10

Answers

The value of the x, when y = 10 by the direct proportional is found as x = -5.

What is defined as the directly proportional?A direct proportion is an arithmetical comparison of two numbers whose ratio is equal to a fixed value. According to the proportion definition, two ratios are in proportion when they are equivalent. The proportions are represented by the symbol "".

As per the given question;

y is in the direct variation with x.

This can be written as; y ∝ x.

Or, y = kx

Where, k is proportionality constant.

put the values;  y = 6 when x = -3

6 = -3 k

k = -2

Now, the value of x when y = 10.

y = kx ; put the value of y and k

10 = (-2)x

x = -5

Thus, the value of x in direct variation with y = 10 is found as x = -5.

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Draw the net force arrow on the picture to the left.​

Answers

Answer:

Step-by-step explanation:

Ivan was at the beach. He wanted to spend $12 or less on a beach bike rental. The company he chose
to rent from charged an initial fee of $5 and an additional $0.45 per mile he rode.
a. Write an inequality for this situation. Let x represent the number of miles ridden.
b. What is the greatest number of whole miles Ivan can ride without going over his spending
limit?

Answers

Using a linear function, it is found that:

a. The inequality for this situation is: 5 + 0.45x ≤ 12.

b. He can ride at most 15 miles without going over the limit.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which the coefficients are described as follows:

The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).

For the context of this problem, the slope and the intercept are defined as follows:

The slope is the cost per mile, hence m = 0.45.The intercept is the flat cost, the renting fee of b = 5.

Hence the cost function, considering x miles, is given as follows:

C(x) = 0.45x + 5.

He wanted to spend $12 or less on a beach bike rental, hence the inequality that models this situation is given by:

C(x) ≤ 12.

5 + 0.45x ≤ 12.

The inequality is solved similarly to an equality, isolating the variable and finding the range of values, hence the solution is found as follows:

0.45x ≤ 7

x ≤ 7/0.45

x ≤ 15.6 miles.

The greatest whole number of miles is of 15 miles, as for 16 miles, the cost would be above $12.

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Please help me on this question!

Answers

The answer is y=-4 and x=-2
To solve for x
You substitute -4 into y from one of the equations and you get x=-2
6x+5(-4)=-32
6x-20=-32
6x=-12
X=-2

Solve for x: 4x + 1/2 (2x+4) > 12

a. x > 14/5
b. x < 14/5
c. x > 2
d. x < 2

Answers

Answer:

c. x > 2.

Step-by-step explanation:

4x + 1/2 (2x+4) > 12

4x + x + 2 > 12

5x > 10

x > 2.

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assume that a 4 percent increase in income results in a 2 percent increase in the quantity demanded of a good. the income elasticity of demand for the good is Assignment IntroductionBy now you should be able to identify at least one consumer issue that is very important to you. Choose an issue for which you already are or could become passionate about. Perhaps you or a family member has been scammed, has had your identity stolen, has purchased defective or harmful products, has purchased a product as a result of false advertising, or has been a victim of abusive credit collection practices or financial fraud.Assignment Directions:For the issue you have chosen, you will first research the issue. Then you will write a paper, consisting of an introduction and a strategic plan. For the introduction, in 200 words or less, describe the specific issue and explain your personal stand on the issue. Then, follow with your strategic plan for making your voice heard, applying the concepts learned in this chapter. Be specific regarding the people, groups, or organizations that you plan to engage and the methods you intend to use What are the terms in the expression 5y -x + 7? A. Sy, -X B. 3,-1,7 C. 5y, -x, 7 D. Sy, x, 7 acid flux is designed to be used on nonelectrical metal joints such as radiators and must be removed after the soldering process so that the joint does not corrode. A cuboid is of dimensions 60 cm 54 cm 30 cm. How many small cubes with side 12 cm can be placed in the given cuboid? Send your teacher a message on how this program is making a difference in your life. what is changing in you, and how has it transformed you? what has been your favorite lesson so far? why? share what you think could be better about the course. what do you wish was different? Luana states that -x+2--10 is true when x=12. Is she correct? Jutify your response. why would a reseacher use a secondary source instead of a primary source when analyzing a historical event How was the crime in the fast slide by melanie jackson was solved? Based on the following data, would Ann and Carl Wilton receive a refund or owe additional taxes? (Input the amount as a positive value. Round your intermediate calculations and final answer to the nearest whole number.)Tax InformationAdjusted gross income.Standard deduction Child care tax creditFederal income tax withheld Tax rate on taxable income$ 47,310$ 24,000$100$2,08010 percent HELP PELASEJerry is planning a 500-mile trip and estimates it will take 10 hours. Approximately how fast will he be traveling? If it helps i have the image here :] simplify the expression -1.1 + (-3.9). On the test, when tom simplified the expression he got -2.8. What mistake did tom likely make when he simplified the expression? Scholars will evaluate and prepare to debate William Goldings assertions regarding human nature in order to develop a position on whether human nature is fundamentally good or evil.English 9 Goldings Assertions Thesis 10-10/14-22+++++++++++++++++++++++++++++++++++++Use the information you learned in the debate to compose an individual thesis statement defending, challenging, or qualifying the assertion that humanity is fundamentally evil.>>>>> use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. dylan is working as a buyers licensee for sophia. when sophia wonders about the condition of the hvac system in the older home she is considering, what is the best advice dylan can give her? Which danger does this article suggest that a person who becomes dangerously overheated faces? Saul owns a local shoe store that sells a variety of top shoe brands to his localcommunity. Because Saul does not actually make the shoes at his store andpurchases them from a manufacturer, he is considered a(n):enterpriserproducerextractormerchandiser the elements of culture group of answer choices are based primarily on genetics have little to do with globalization, which is primarily economic have little to do with language are learned through interaction and socialization Charles Darwin observed a unique beak size and shape in the finch population of each of the Galapagos Islands that he visited. They build a nations pillars deep And lift them to the sky