A classroom contains an equal number of boys and girls. if 10 girls leave, twice as many boys as girls remain. what was the original number of students present?

Answers

Answer 1

the answer of this question is 38 and i hope it s  correct


Related Questions

When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 4 or a 5?
A. 1:1
B. 1:2
C. 1:3
D. 1:5

Answers

Answer:

C

Step-by-step explanation:

You have a total of 6 outcomes (1,2,3,4,5,6).  That is your numerator.  Out of those numbers, you only want 2 of them (4 or 5), so the fractions would be 2/6 or 1/3 which can also be written 1:3

Maria buys some soft drinks for her friends. she buys a total of 13 drinks for a total of $32. if medium drinks, m, cost $3 and small, s, drinks $2, write a system of equations which can be used to find how many small drinks and medium drinks she bought.

Answers

The total number of small drinks 's' bought by Maria is 7.

The total number of medium drinks 'm' drinks bought by Maria is 6.

What is system of linear equations?

A collection of one or more linear equations containing the same variables is known as a system of linear equations (or linear system).

Formation of the linear equation for the drinks bought by Maria:

The total number of drinks bought by the Maria is 13.

Lets say 'm' represents the number of medium drink.

's' represents the number of small drink.

Total drinks comprises of medium drinks and small drinks.

Thus,

s + m = 13, is the first linear equation.

Now medium drinks cost $3.

Total cost for purchasing medium drinks = (price of one medium drink)×(total number of medium drinks)

Total price for medium drinks = 3×m

Similarly,

Total cost for purchasing small drinks = (price of one small drink)×(total number of small drinks)

Total price for small drinks = 2×s

Total cost = total cost of medium drink + total cost of small drink

          32  = 3×m + 2×s, is second linear equation.

From equation first substitute the value of 'm' in second equation to fine the total number of drink.

32 = 3×(13 - s) + 2×s

32 = 39 - 3s + 22

s = 7

Put s = 7 in first equation and calculate 'm'.

m = 13 -7

m = 6

Therefore, The total number of small drinks 's' bought by Maria is 7.

The total number of medium drinks 'm' drinks bought by Maria is 6.

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Quick algebra 1 question 25 points!

Only answer if you know the answer, quick shout-out to subtomex0, tysm for the help!

Answers

1)y=x+5 is a linear function that is strictly increasing over the interval ] -∞,∞ [ . This line passes through the y-intercept at ( 0 , 5 ). Projecting the line along y=x would yield another line that passes through a mirrored point across origin, ( 0 , -5 ). So our transformation would become y=x-52)y=3/8 x is a function for which there exists a ratio of 1 : 3/8 of y : x . Transforming the set of points of this line would only yield a line of equation of ratio 3/8 : 1 of y : x suggesting that 3/8 y=x or y=8/3 x3)y=-x-2 is a linear function that is strictly decreasing over the interval ] -∞,∞ [ . This line passes through the y-intercept at ( 0 , -2 ). Projecting the line along y=x would yield the same line since it is already symmetric wrt y=x, y^-1=-x-2

Answer:

1. Translate 5 units up (Fixed after a comment from subtomex0 - Thanks again!)

2. Vertical Compression by a scale factor of 3/8

3. Reflect across the y-axis, and shift 2 units to the left

4. Vertical stretch by a scale factor of 6, and shifting 1 unit up

5. Shifting 11 units to the left

6. Vertical stretch by a scale factor of 8

7. Vertical compression by a scale factor of 1/2, and reflection across the y-axis.

I was born on saturday. got marries the 10,000 day of my life. what day of the week is it?

Answers

Answer:

  Tuesday

Step-by-step explanation:

Days of the week repeat every seven days, so Saturday is day (1+7n) for some integer n.

Number of weeks

The value of n that makes the day number just under 10,000 is ...

  1 +7n ≤ 10000

  7n ≤ 9999

  n ≤ 1428 3/7

Day of the week

So, Day 1 +1428·7 = 9997 is Saturday. Day 10,000 is 3 days later. That makes Day 10,000 a Tuesday.

__

Additional comment

1428 weeks is about 27.5 years. You got married at age 27.

I WILL GIVE BRAINLY A dairy farmer wants to mix a 60% protein supplement and a standard 20% protein ration to make 1400 pounds of a high-grade 40% protein ration. How many pounds of each should he use?

Answers

The number of pounds of 60% protein and 20% protein supplement used is 700 and 700 pounds respectively.

Simultaneous equation

let

Pounds of 60% protein used = xPounds of 20% protein used = y

x + y = 1400

0.60x + 0.20y = 1400×0.40

0.60x + 0.20y = 560

From (1)

x + y = 1400

x = 1400 - y

Substitute into (2)

0.60x + 0.20y = 560

0.60(1400 - y) + 0.20y = 560

840 - 0.60y + 0.20y = 560

- 0.60y + 0.20y = 560 - 840

-0.40y = -280

y = -280/-0.40

y = 700 pounds

Recall,

x + y = 1400

x + 700 = 1400

x = 1400 - 700

x = 700 pounds

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PLEASE HELP NOW

Which formula can be used to find the volume of the cylinder? Check all that apply. A = ( d )( h ) V = B( h ) V = ( l )( w )( h ) V = 2( r )( h ) V = (pi) (r squared) (h)

Answers

Answer:

V=  (pi) (r squared) (h)

Step-by-step explanation:

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?
r > 4 and r ≤ 4.1
r > 4 or r ≤ 4.1
r < 4 and r ≥ 4.1
r < 4 or r ≥ 4.1

Answers

The compound inequality represents the situation is r > 4 and r ≤ 4.1

Compound inequalityRadius of the gear = r

r must be greater than 4 cm

r > 4

r must not exceed 4.1 cm

r ≤ 4.1

Therefore, r > 4 and r ≤ 4.1 is the compound inequality which represent the situation.

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Its A: r > 4 and r ≤ 4.1

Which of the following polynomials has a remainder of -7 when divided by x - 2?

Answers

ANSWER :          -7x + 14

EXPLANATION, to reverse division multiply

                                                                                         

A set of 5 numbers has an average of 50. The largest element in the set is 5 greater than 3 times the smallest element in the set. If the median of the set equals the mean, what is the largest possible value in the set

Answers

Answer:

5×3=15

15×3=45

therefore the largest value is 45

The largest possible value in the set is 92. The set has an equal mean and median. So, the set is {29, 29, 50, 50, 92}.

What are the mean and median of a set of data?

Mean:

For a set of data, the average of all the data values is said to be its mean.

Median:

When the set is arranged in ascending order, the middle term is said to be its median (if there are an odd number of data values in the set) or the average value of the two middle terms is the median (if there are an even number of data values in the set).

Calculation:

It is given that,

there are 5 numbers in the set

Mean = 50 and Median = Mean

So, Median = 50

Since there are 5 numbers in the set (odd number), the median is the third(middle) number.

Consider the first or smallest number as 's'.

Then the largest number = 3s + 5

By minimizing each term we get,

first term = s

second term = s

third term = 50

fourth term = 50

fifth term = 3s+5

If the mean is 50, then the sum of all the terms = 50 × 5 = 250

So,

s + s + 50 + 50 + 3s + 5 = 250

⇒ 5s + 105 = 250

⇒ 5s = 145

∴ s = 29

Thus, the smallest number is 29

Then, the largest number = 3s + 5 = 3 × 29 + 5 = 92

Therefore, the largest number in the given set is 92.

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Using the unit circle, determine the value of sin(-240°).

Answers

Answer:

See my picture below for the answer.

Step-by-step explanation:

If you look at the unit circle and locate 240 degrees.  You will see an ordered pair.  The first number -1/2 is the cos of 240 and the second number is the sin.

Answer:

it’s the square root of 3, divided by 2 (sorry, can’t type any special characters at the moment)


Step-by-step explanation:

-240 = 120 because you measure negative angles clockwise starting at 0.

Using unit circle, value of sin for an angle is the 2nd number

Question 5(Multiple Choice Worth 1 points)
(02.01 LC)
Which of the following tables represents a function?

Answers

Answer:

  (a)  see attached

Step-by-step explanation:

A table will represent a function if no input (x) values are repeated.

Choices

The offered tables can be evaluated as follows:

  (a) x-values {-4, -1, 1, 4}, no repeats. Is a function.

  (b) x-values {2, 2, 3, 3}, both values repeated

  (c) x-values {-5, -5, 5, 5}, both values repeated

  (d) x-values {2, 2, 7, 7}, both values repeated

Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y.

Triangle G E F has angles with different measures. Point A is at the center. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Z, and A Y.
Which must be true?

Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z.
Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G.
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z

Answers

The correct option that depicts the centroid of the triangle is; C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

How to interpret the segments formed from Triangle Centroid?

The center of inscribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of the circumscribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides. Thus, the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle.

Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Thus, the correct option is option C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

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2 Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Mr.Royal, tysm for the help!

Answers

#6

Yes

Direct variation because Time increases cupcakes increases and vice versa

#B

Constant of proportionality represents the amount of time required per cupcakes

#7

Yes we can find it

We have to check the x and y values of the ordered pairs (x,y)

If y is decreasing with respect to increase in x then it's inverse variation

There were only 86 confirmed cases of Measles in the year 2000. In 2019, there was a reported 1,350 % increase in confirmed
cases of Measles. How many cases were there in 2019?

Answers

Answer:

1161 confirmed cases

Step-by-step explanation:

In 2000 the number of cases was 86

Percent means out of a hundred, so if we divide 1350 by 100 we get 13.5.

So, we must multiply 13.5 and 86 to get the amount of cases in 2019.

13.5*86 = 1161 confirmed cases in 2019

The graph of F(x) shown below resembles the graph of G(x) = x4, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?

Answers

Using translation concepts, the equation of F(x) is:

A. [tex]F(x) = \frac{1}{3}x^4 - 2[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

[tex]G(x) = x^4[/tex]

For function F(x), we have that:

It was shifted down 2 units, hence F(x) = G(x) - 2.It was vertically compressed by a factor of 3, hence [tex]F(x) = \frac{1}{3}G(x) - 2[/tex]

Then the equation is:

A. [tex]F(x) = \frac{1}{3}x^4 - 2[/tex]

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which expression uses the associtive property to make it easier to evaluate 8 (1/4 x 3/5)

Answers

The value of the expression 8 (1/4 * 3/5) is  6/5

How to evaluate the expression?

The expression is given as:

8 (1/4 * 3/5)

The associative property states that:

a * (b * c) = (a * b) * c

Using the above expression, we have:

8 (1/4 * 3/5) =  8 * 1/4 * 3/5

Evaluate the product

8 (1/4 * 3/5) =  2 * 3/5

This gives

8 (1/4 * 3/5) =  6/5

Hence, the value of the expression 8 (1/4 * 3/5) is  6/5

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The lifetime of a certain type of battery is normally distributed with mean value 13 hours and standard deviation 1 hour. There are nine batteries in a package. What lifetime value (in hours) is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages

Answers

The lifetime of the batteries in a package is 14.31 hours which exceeds that value for only 5% of all packages.

Give sample mean of 13 hours and standard deviation of 1 hour and sample size is 9.

We have to apply t test in this because the value of n which is sample size is less than 30.

We have been given the p value of the required mean so we have to find the t value for this with degree of freedom (9-1)=8

t value=2.306.

We know that

t=X bar-μ/s/[tex]\sqrt{n}[/tex]

s/[tex]\sqrt{n}[/tex]=1/[tex]\sqrt{3}[/tex]=0.57

Put all the values in the above formula to calculate required mean.

2.306=X bar-13/0.57

X bar=1.31442+13

=14.31442

after rounding off we get

X bar=14.31

Hence the lifetime of the batteries is 14.31 for which  the percentage exceeds 5%.

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The triangles are similar. Find the value of the variable.

Answers

Answer is z=36
First find the ratio of the similar sides
55/44 = 1.25 ratio
Divide 45 by the ratio to find z
45/1.25 = 36

Find the missing side length of the triangle.

Answers

Answer:

c = 10

Explanation:

Use Pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' is the hypotenuse (the longest side)

Here given: a = 8 cm, b = 6 cm, c = ?

Substituting values:

8² + 6² = c²

c² = 64 + 36

c² = 100

c = √100

c = 10

Answer:

10 cm

Step-by-step explanation:

[tex]a^2=b^2+c^2[/tex]

[tex]a^2=6^2+8^2[/tex]

[tex]a^2=100[/tex]

[tex]\sqrt{a^2}=\sqrt{100[/tex]

a=10

Use the graph to find the solution.

Given the graph of w(x), w(2) = ?

(the graph is below)

THE FIRST ANSWER WILL GET BRAINLIEST OR 5 STARS! PLEASE ANSWER QUICK :)

Answers

Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 6, 9, 12. Column 2 is labeled y with entries 3, 9, 18, 27, 36.
Given that y varies directly with x in the table, find the value of y if the value of x is 5.

Answers

Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.

How to calculate direct variation?

According to this question, a 2-column table with 5 rows is given.

Column 1 is labeled x with entries 1, 3, 6, 9, 12 Column 2 is labeled y with entries 3, 9, 18, 27, 36

If y varies directly with x, the mathematical representation is as follows:

y = kx

Since y = 3, when x = 1

3 = k × 1

k = 3

The relationship between x and y is as follows: y = 3x

Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.

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Find the magnitude of the
resultant vector.
(8, 10)
W
(7, -1)
[?]
Round to the nearest tenth.

Answers

17.49 is the magnitude of the resultant vector. This can be obtained by adding the vectors and finding magnitude.

Calculate the magnitude of the resultant vector:

Resultant vector: vector that gives the combined effect of all the vectors. When we add two or more vectors, the outcome is the resultant vector.

For example,

Sum of vector (3,4) and vector (5,7)

(3,4) + (5,7) = (3+5,4+7) = (8,11)

(8,11) is the resultant vector of vector (3,4) and vector (5,7)

Magnitude of a vector: the length of the vector. The magnitude of the vector a is denoted as ∥a∥.

Magnitude of a = (a₁, a₂)

∥a∥=[tex]\sqrt{a_{1}^{2} +a_{2}^{2} }[/tex]

In the given question,

v (8,10) and w (7, -1)

Adding the vectors,

resultant vector = (8,10) + (7, -1) = (15, 9)

Magnitude of a vector (a,b) = √a²+b²

Here, magnitude = √15²+9² = √225+81 = √306 ≈ 17.49

Hence 17.49 is the magnitude of the resultant vector.

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PLS HELP>>>look at pic

Answers

Answer:

3x + 2 >= 0

Step-by-step explanation:

Since this is a 4th root, not a cubic root, the radical can only contain 0 or positive numbers. Therefore there is 3x + 2 >= 0.

This map of china is 65inches from east to west and 68 from the north to south. if 1 inch is 50 miles, how large is the actual country?

Answers

The country is 3250 miles in distance from east to west, and 3400 miles from north to south.

Given Information

It is given that,

The distance of the country on map from east to west, l = 65 inches

The distance of the country on map from north to south, b = 68 inches

As per the given scaling of map, 1 inch = 50 miles

How large is the actual country?

Thus, the actual distance from east to west, L = l × 50 miles

L = 65 × 50 miles

L = 3250 miles

The actual distance from north to south, B = b × 50 miles

B = 68 × 50 miles

B = 3400 miles

Therefore, the actual size of the country is 3250 miles in distance from east to west, and 3400 miles in distance from north to south.

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PLEASE ANSWER WILL GIVE YOU ALOT OF POINTS

Answers

The theorems that prove that lines are parallel includes:

Alternate interior angle theorem.Converse of corresponding angles postulate.

How to prove lines are parallel?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

Theorems that prove that lines are parallel includes:

Alternate interior angle theorem.Converse of corresponding angles postulate.

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Some band members have raised much more money than other. which measure can be used to show this?explain.

Answers

A ratio measure can be used to show this.

What is a ratio measure?A ratio in mathematics describes how many times one number contains another.The highest (most sophisticated) level of measurement that a variable can have is referred to as a ratio measure.A 3 to 5 ratio (3:5) A 3:5 ratio can be written as 3:5, 3/5, or 3/5. Furthermore, 3 and 5 can represent any number or measurement, including pupils, fruit, weights, heights, speed, and so on. A 3 to 5 ratio simply means that for every three of something, there are five of something else, for a total of eight.

Therefore, a ratio measure can be used to show the given situation.

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PLEASE IM BEGGING U so hard to understand T_T

Answers

Answer:

[tex]b^{2} +7b+7[/tex] with remainder 1

What is the length of the hypotenuse of the triangle?

Triangle A B C. Side A C is 7 centimeters and side B C is 3 centimeters. Hypotenuse A B is unknown.
StartRoot 20 EndRoot cm
StartRoot 23 EndRoot cm
StartRoot 40 EndRoot cm
StartRoot 58 EndRoot cm

Answers

The length of the hypotenuse of the triangle as given is; √58 cm.

What is the length of the hypotenuse of the triangle described?

It follows from the task content that the triangle described in the task content is a right triangle with two other side lengths; 7cm and 5cm.

Hence, it follows from Pythagoras theorem that the length of the hypotenuse side of the triangle is;

Hypotenuse = √(5² + 7²)

Hypotenuse = √58 cm.

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please help me, i want now

Answers

The value of angle C in the triangle is 50°.

How to calculate the triangle?

From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.

It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:

= 180° - (60° + 70°)

= 180° - 130°

= 50°

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Find the smallest number by which 1008 must be multiplied to get a perfect square. also, find the square root of the perfect square so obtained

Answers

Answer:

7

Step-by-step explanation:

we have 1008=2×2××2×3×3×3

The smallest whole number is 7, by which 1008 should be multiplied so as to get a perfect square.

Now 1008×7=2×2×2×2×3×3×7×7

7056=2×2×3×7

=84

Answer : 7

Answer:

1.   7

2.  square root is 84.

Step-by-step explanation:

First find the prime factors:

1008 =2*2*2*2*3*3*7

There's an even number of 2's and 3's but only one 7, so we multiply by 7

Smallest number = 7.

The square number is 1008 * 7

= 7056.

Its square root is  2*2*3*7 = 84.

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Flocks of marsh crows flew by, heading inland to their roosting trees, and two egrets, squawking, arose from the oyster-rock shallows and careened away.What best describes the effect of the imagery used in this excerpt?It shows the cruelty of the narrator.It helps the setting come alive.It reveals the fact that Doodle is tired.It tells the reader that Doodle will die What was the Glorious Revolution in England? When Oliver Cromwell's protectorate was overthrown and the monarchy restored The final split of the English Church from Roman Catholic authority The end of the monarchy in England and the establishment of a constitutional republic The bloodless removal of James II and the establishment of a limited monarchy For accommodation of persons with special needs, call 555-555-1234, tty 711 is an example of the disclaimer that must appear in advertising for what type of event?. Which of the following is true of the Second Continental Congress? A.) It was convened with the intention of formally declaring independence from Britain. B.) It hired German mercenary soldiers, known as Hessians, to fight against the British. C.) It continued to petition King George III to end the emerging conflict. D.) It called for an end to the boycott on all goods imported from Britain Read the speech and answer the question.Voluntourism: An Opportunity Too Good to be TrueA Speech to the Student Body of Evergreen High[1] Picture this: It's Spring Break, and you fly off to some country where there's lush rainforests and beautiful, blue coastlines to explore. There's also people in need, so you decide to blend your vacation with volunteering. Volunteering as a tourist, or voluntourism, seems like a great way to explore new regions and help people at the same time. However, this "volunteer plus travel" experience can actually harm local communities. While many teens might view traveling and volunteering abroad as a worthwhile adventure, there are more genuine and effective ways to make a difference.[2] Most would agree that volunteering in general is a worthy use of time. However, what if you found out the children you are "helping" are actually being kept in poor conditions so voluntourists will spend money to come to the local area? Dale Rolfe, a supporter of ethical voluntourism, explains the shocking reality that "Animal sanctuaries and orphanages are often manufactured for the voluntourist...encouraging a cycle of exploiting the very animals and children the volunteers are trying to help."[3] Proponents of the "volunteer plus travel" experience also argue that traveling to new places builds character and is a valuable way to learn about different cultures. With voluntourism, however, participants often pursue experiences that are all about them. For example, they sign up to build a school for a gold star on their resume, but they have no real building skills and take jobs away from local construction workers (Schulten). Or, they arrive to teach English but instead take selfies with the locals. One world traveler and ethical voluntourist believes voluntourism "can perpetuate small minded views of the world by taking insulated, fake, and structured experiences and selling them as unabridged and eye opening" (Carlos). The voluntour experience is a mirage. The voluntourist's eyes are not opened to real life at the destination, and lasting change is not achieved.[4] If you want a genuine experience where you can see a lasting impact, there are better options than voluntourism. You can volunteer in your local community. Give an hour every week to your town's animal rescue. Serve monthly dinners to the homeless. Be a reliable, positive influence on a child who needs a mentor. Studies show that volunteering and forming lasting relationships with those you help has a positive impact on your physical and emotional health. In fact, blood pressure is reduced, memory is improved, and rates of depression are reduced (Michaels).[5] There is another reason to look into alternatives to voluntourism. Did you know the average "voluntour" travel package costs $3,400 (Rolfe)? Could that travel money be better spent? If the world's citizens are your passion, it could go to an international organization. If you care about education, your funds can be used to buy books for students in faraway lands. If you want villagers to have clean water, contribute funds to local efforts to dig wells. If you want to experience a different culture, travel to the country as a guest, and learn from the locals how you can best help them after you've returned home. But do not voluntour.[6] In reality, there are better ways to make a difference. Voluntourism might appear to be an adventure that blends travel and helping others, but it does little except provide a costly, superficial experience that might actually do more harm than good. So, volunteer where you are most needed-at home, where you can stay to see the job through and form genuine, lasting relationships. Choose a beautiful coastline closer to home and send the travel money you saved to an international organization that will put it to good use. Whatever you do, don't turn someone else's hardship into your vacation.How does the speaker's rhetorical question in paragraph 2 support the purpose of the speech? It emphasizes the need for willing and wealthy volunteers to bring help to those less fortunate. It highlights how unfair life can be for certain groups of people throughout the world. It reinforces the idea that voluntourism can harm the people and communities it is meant to help. It reminds the audience that there are some who fight the injustice associated with voluntourism. Letter to a Citizen of Kentucky, an excerptExecutive Mansion, Washington,April 4, 1864.A. G. Hodges, Esq., Frankfort, Ky.My Dear Sir: You ask me to put in writing the substance of what I verbally stated the other day, in your presence, to Governor Bramlette and Senator Dixon. It was about as follows: I am naturally anti-slavery. If slavery is not wrong nothing is wrong. I cannot remember when I did not so think and feel; and yet I have never understood that the Presidency conferred upon me an unrestricted right to act officially in this judgment and feeling. It was in the oath I took that I would to the best of my ability preserve, protect and defend the Constitution of the United States. I could not take the office without taking the oath. Nor was it in my view that I might take the oath to get power, and break the oath in using the power. I understood, too, that in ordinary civil administration this oath even forbade me to practically indulge my primary abstract judgment on the moral question of slavery. I had publicly declared this many times and in many ways; and I aver that, to this day I have done no official act in mere deference to my abstract judgment and feeling on slavery. I did understand, however, that my oath to preserve the Constitution to the best of my ability imposed upon me the duty of preserving, by every indispensable means, that government, that nation, of which that Constitution was the organic law. Was it possible to lose the nation, and yet preserve the Constitution? Evaluate the given algebraic expressions replacing x with -2 and y with 1[tex]3x^{2}[/tex] ASAP I WILL GIVE BRAINEST A good theory is hard to understood, while simple enough to capture the key features of the object or situation being studied.TrueFalseEvents that occur locally, or nationally, impact the rest of the consumers and producers in this country.TrueFalseMicroeconomics and macroeconomics are not separate subjects, but rather complementary perspectives on the overall subject of the economy.TrueFalseMost real-world industries will either be a perfect competition or a monopoly and will not fall in the middle ground of market structures.TrueFalse