at a shopping mall,4/9 of the shoppers were children and 5/7 of the adults were woman.They were 1/2 as many boys as men.They were 90 more girls than boys. (a) what fraction of the shoppers in the shopping mall were men ? (b) How many shoppers were in the shopping mall ?

Answers

Answer 1

Short Answer: 315 Total Shoppers: (10/63) Men
Step One
Let the children = C
Let the adults = A
Let the Men = M
Let the Women = W
Let the Boys = B
Let the Girls = G
Let the total number of shoppers = T

Find the Fraction of Children
4/9 T = C

Find the fraction of adults
T - 4/9 T = A
5/9 T = A

Find the Fraction of Women
5/7 A = W
(5/7) (5/9) T = W
(25/63) T = W

Find the Fraction of Men
Note if 5/7 of the adults are women then 2/7 of the adults are men.
2/7 A = M
2/7 5/9 T = M
10/63 = M <<<<<<< Answer for fraction of Men

Find the fraction of Boys. The boys = 1/2 the Men
1/2 M = B
(1/2)(2/7)(5/9)T = B
5/63 T = B

Find The fraction of Girls
(4/9)T - B = G
4/9 T - 5/63 T = G
(28 / 63) T - (5/63/)T = G
(28/63 - 5/63)T = G
(23 /63) T = G

Find the total number of shoppers.
B + 90 = G
(5/63) T + 90 = (23/63) T
90 = (23/63)T - (5/63)T
90 = (18/63)T
90 (63/18) =T
T = 5*63
T = 315 Answer for total number of Shoppers

Note see above for the fraction of men.

Related Questions

You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what is your yield pet acre, rounded to the nearest bushel per acre

Answers

The yield per acre will be given by:
[total amount of bushels sold]/[area of the field]
Total amount sold=64100+8120=72220
area=488 acres
thus
72220/488
=147.992~148 bushels per acre

Answer:

There will be approx 148 bushels in per acre.

Step-by-step explanation:

You planted 488 acres of corn last season.

you sold all your corn: 8,120 bushels in August and 64,100 bushels in September.

Total bushels = [tex]8120+64100=72220[/tex]

Now, this amount of bushels were in 488 acres of land.

So, per acre will contain = [tex]72220/488=147.99[/tex]≈ 148 bushels

Hence, there will be approx 148 bushels in per acre.

Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures.

Answers

Scalene and obtuse.

scalene and a obtuse triangle

Calculate the slope of a line that intersects points (6,2) and (-4,-3).

A. 1/2
B. 2/3
C. 4/5
D. 7/8

Answers

Difference in y: -3 - 2 = -5
Difference in x: -4 - 6 = -10

slope = (difference in y)/(difference in x)

slope = (-5)/(-10) = 5/10 = 1/2

Answer: A. 1/2

The slope of the line passing through the points (6,2) and (-4,-3) is calculated using the slope formula (y2 - y1) / (x2 - x1), resulting in a slope of 1/2.

To calculate the slope of a line that intersects points (6,2) and (-4,-3), we use the slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). Here, we consider point 1 to be (6,2) and point 2 to be (-4,-3).

Using the formula:

y2 = -3y1 = 2x2 = -4x1 = 6

Substituting the values into the formula gives us the following calculation:

Slope = (-3 - 2) / (-4 - 6)

Slope = (-5) / (-10)

Slope = 1/2

Therefore, the correct answer is A. 1/2.

In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.

Answers

area=median*height=20cm*15cm
=300cm^2

Answer:

300

Step-by-step explanation:

in the linear equation, y = 7x - 15, the y- intercept of the line is

Answers

y-intercept: (0,-15)

The y-intercept in that equation is (0,-15). In slope-intercept form, the y-intercept is represented by the final number in the equation.

The standard guidelines for fluid intake recommend that a 10dash20-kg child should have 1000 mL of fluid plus 50 mL for each full kilogram of body weight over 10 kg per day. How many 8-ounce glasses of fluid should a 43-pound child have each day? The 43-pound child should drink about nothing 8-ounce glasses of fluid each day.

Answers

Given that the standard guidelines for fluid intake recommend that a 10 - 20 kg child should have 1000 mL of fluid plus 50 mL for each full kilogram of body weight over 10 kg per day.

1 ounce contains 29.57 mL of fluid, thus an 8-ounce glass contains 8(29.57) = 236.56 mL of fluid.

1 pound is equivalent to 0.45 kg, thus, 43 pound is equivalent to 43(0.45) = 19.35 kg

Thus, the standard guidelines for fluid intake recommend for a 43 pounds (19.35 kg) child is given by 1000 + 9(50) = 1000 + 450 = 1450 mL of fluid per day.

Therefore, the number of 8-ounce glasses a 43 pound child should have is given by:

[tex] \frac{1450}{236.56} =6.13\approx6\ glasses[/tex]

look across each row and down each column what pattern do you see

Answers

isn't it just going up by one

A shop sells 200 chocolate vanilla and strawberry ice creams 45% of the ice cream sold are vanilla and 30% are strawberry how many chocolate ice creams are sold

Answers

Ice creams:
(1) Chocolate
(2) Vanilla
(3) Strawberry

There are three types of flavors.

45% of the ice creams are vanilla
30% of the ice creams are strawberry
x percent of the ice creams are chocolate

The total amount of ice creams is 200 that corresponds to 100%. Therefore:

45% + 30% + x = 100%

Solving for x:
x = 25%

Then the number of chocolate ice creams are:

[tex]25\%(200) = 50 [/tex]

Finally:
50 chocolate ice creams are sold

Final answer:

The answer explains how to calculate the number of chocolate ice creams sold in a situation where vanilla and strawberry ice creams are already accounted for.

Explanation:

The total number of ice creams sold is 200.

45% are vanilla ice creams. 45% of 200 is 90.

30% are strawberry ice creams. 30% of 200 is 60.

To find the number of chocolate ice creams sold:

Chocolate ice creams = Total ice creams - (Vanilla ice creams + Strawberry ice creams)

Chocolate ice creams = 200 - (90 + 60)

Chocolate ice creams = 200 - 150 = 50

Therefore, 50 chocolate ice creams are sold.

Which of the following is equivalent to -6
A) 9-(-17)
B) 3*(-2)*(-1)
C) -2(4-1)
D) 4-16/-2

Answers

C.
-2(4-1)
Distributing: (-8 +2) = -6

C
-2(4-1) put in a calculator that’s your answer

the equation d=1/2n (n-3) gives the number of diagonals D for polygon with n sides. use this equation to find the number of sides n for a polygon that has 65 diagonals

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that:

- The equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.

- The polygon that has 65 diagonals..

2. When you clear n, you obtain:

d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0

3. When you solve the quadratic equation, you obtain:

n=13

Therefore, the answer is: 13 sides.

Answer: 13

Step-by-step explanation:

Given : The equation [tex]d=\dfrac{1}{2}n(n-3)[/tex] gives the number of diagonals d for polygon with n sides.

To find the number of sides n for a polygon that has 65 diagonals, we substitute the value of d= 65 in the given equation, we get

[tex]65=\dfrac{1}{2}n(n-3)[/tex]

Multiply 2 on both sides , we get

[tex]n(n-3)=130\\\\\Rightarrow\ n^2-3n-130=0\\\\\Rightarrow\ n^2-13n+10n-130=0\\\\\Rightarrow\ n(n-13)+10(n-13)=0\\\\\Rightarrow\ (n-13)(n+10)=0\\\\\Rightarrow\ n= -10\ or\ n= 13[/tex]

But number of sides cannot be negative, so the number of sides n for a polygon that has 65 diagonals = 13

Simplify the given polynomial expressions, and determine the degree and number of terms in each expression.

Answers

1)
[tex]6 { x}^{3} - 10 {x}^{2} + 4x[/tex]
Degree: 3
Terms:3

2)
[tex] - {x}^{5} - 3 {x}^{4} + 12 {x}^{3} - 6[/tex]
degree:5
terms:4

3) 9x^4-9
degree:4
terms:2

Degree and number of terms in each polynomial expression are as follow,

[tex]6x^{3} -10x^{2} +4x[/tex] degree : [tex]3[/tex] and Number of terms : [tex]3[/tex][tex]-x^{5} -3x^{4} +12x^{3} -6[/tex] degree : [tex]5[/tex] and Number of terms : [tex]4[/tex][tex]9x^{4} -9[/tex] degree : [tex]4[/tex] and Number of terms : [tex]2[/tex]

What is expression?

" Expression is defined as the relation between two or more variables or numbers are represented using mathematical operation."

According to the question,

Given polynomial expression,

[tex]4x + 2x^{2} ( 3x-5)[/tex]

Simplify the given expression we get,

[tex]4x + 6x^{3} -10x^{2}\\\\= 6x^{3} -10x^{2} +4x[/tex]

Degree of the polynomial expression : [tex]3[/tex]

Number of terms : [tex]3[/tex]

2. [tex](-3x^{4} +5x^{3} -12) + (7x^{3} -x^{5} +6)[/tex]

Simplify the given expression we get,

[tex]-3x^{4} +12x^{3} -6 -x^{5} \\\\= -x^{5} -3x^{4} +12x^{3} -6[/tex]

Degree of the polynomial expression : [tex]5[/tex]

Number of terms : [tex]4[/tex]

3. [tex](3x^{2} -3)(3x^{2} +3)[/tex]

Simplify the given expression we get,

[tex]9x^{4} -9[/tex]

Degree of the polynomial expression : [tex]4[/tex]

Number of terms : [tex]2[/tex]

Hence, degree and number of terms in each polynomial expression are as follow,

Learn more about expression here

brainly.com/question/14083225

#SPJ2

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 684 milliliters of the drug, how many milliliters of compound A are needed?

Answers

There are 5 milliliters of compound A for every 7 milliliters of compound B.

So the ration between compound A and B will be:

A:B = 5:7

Total amount of drug = 684

Therefore, the amount of drug A needed will be:

[tex] \frac{5}{5+7}*684 \\ \\ = \frac{5}{12}*684 \\ \\ =285[/tex]

Therefore, out of 684 milliliters 285 would be the compound A and the rest would be compound B

A/B = 5/7

Where 5 mm of A per 7mm of B. That should be the equation.

Given that the total mm is 684
A + B = 684
A = 5/7 * B

5/7 B + B = 684
B=400
A = 5/7 * 400 = 285mm

A = 285mm

a strip of wood 78 inches long is to be cut into pieces of 3 and 3/4 inches long how many pieces can be cut

Answers

namely, how many times does 3¾ go into 78? well, is just their quotient.

let's firstly convert the mixed fraction to "improper", and then divide,

[tex]\bf \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}\\\\ -------------------------------\\\\ \cfrac{\quad 78 \quad }{\frac{15}{4}}\implies \cfrac{\quad \frac{78}{1} \quad }{\frac{15}{4}}\implies \cfrac{78}{1}\cdot \cfrac{4}{15}\implies \cfrac{26}{1}\cdot \cfrac{4}{5}\implies \cfrac{104}{5}\implies 20\frac{4}{5}[/tex]

so, if we nevermind the 4/5 part, only 20 whole of those then.

hey can you please help me posted picture of question

Answers

The inverse functions have a property that the composition of two inverse functions always results is x.

From the given options, only the pair given in option B result in the composition equal to x.

[tex]F(x)= \frac{12}{x}-18 \\ \\ G(x)= \frac{12}{x+18} \\ \\ F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\ \\ F(G(x))= \frac{12(x+18)}{12}-18 \\ \\ F(G(x))=x+18-18=x [/tex]

This proves, F(x) and G(x) are inverse of each other.

So the answer to this question is Option B

A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which of them will win the race?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9994969

Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 576 cubic inches, find the original dimensions of the sheet of cardboard.

Answers

Here this may help, it gives the answer too

If g(x)= 2x^4+3x^3-x^2, find g(-1)

Answers

When you have a function of g(-1) you first plug in -1 to all x's then you solve it.

Answer: x=0

NEED HELP ASAP ON GEOMETRY!! ONLY 3 QUESTIONS ATTACHED WITH PHOTOS. THANK YOU

Answers

3. Look at the picture.

Use Pythagorean theorem:

[tex]x^2=3.6^2+5.5^2\\\\x^2=12.96+30.25\\\\x^2=43.21\to x=\sqrt{43.21}\\\\\boxed{x\approx6.6}[/tex]

4.
Use Pythagorean theorem:

[tex]3^2+\left(\dfrac{x}{2}\right)^2=6.5^2\\\\9+\dfrac{x^2}{4}=42.25\ \ \ |-9\\\\\dfrac{x^2}{4}=33.25\ \ \ \ |\cdot4\\\\x^2=133\to x=\sqrt{133}\\\\\boxed{x\approx11.5}[/tex]

5.
[tex]\widehat{AB}\ \cong\ \widehat{DE}[/tex]

GETS BRAINLIEST AND 11 PTS

Hazel covered a box with felt. The dimensions of the box are shown in the figure below: A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 6 inches, and the width is labeled as 8 inches. The felt costs 9¢ per square inch. She will only pay for the felt used to cover the box, even if there is waste or extra. How much money did Hazel spend on the felt? $18.18 $27.72 $36.36 $45.54

Answers

i think the answer to this question is (C) $36.36.

Hello,

The surface area of a rectangular prism is:
A=2(xy+xz+yz), where x,y, and z are the dimenisions
We are told that she will spend .09 per in^2, x=11, y=6, and z=8 so we can say cost is:
C=2(9/100)(11*6+11*8+6*8)
C=(18/100)(66+88+48)
C=$36.36

Write parametric equations of the line 2x-y=3

Answers

In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,

f(x) = y = ax + b

where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,

f(x) = y = 2x - 3

Answer: The required parametric equation is y=2t-3.

Step-by-step explanation:

Since we have given that

2x+-y=3

We need to rewrite in parametric equation:

The parametric equation is written as

[tex]f(x)=y=at+b[/tex]

So, Arranging the given equation in the above equation, we get

[tex]2x-y=3\\\\2x-3=y\\\\f(x)=y=2x-3[/tex]

And then put x = t, to get the exact parametric form.

Hence, the required parametric equation is y=2t-3.

Below is the table of values of a function. Write the output when the input is
n

input 1 4 9 n

output 5 8 13 ?

What is the last output ?

Answers

The function is arithmetic where output = input +4

Input: 1 4 9 9 + 7
Output: 1+4 4+4 9+4 9+7+4
Output: 5 8 13 20

Last output is 20

Answer:

n + 4

Or 20

Step-by-step explanation:

Depends on how you see it the answer could be n´+4 since that´s how the function is working, and almost all of the time the independent clauses are actually independent and do not follow any progression.

But if there is a progression in the input, we can see that they are adding up uneven numbers to the input, so first we added 3, then we added 5, and last we should add 7: so the input would be 7+9= 16, the input in the forth spot should be 17, and the output should be 20.

Let P(2, 3) be a point on a figure. The figure is dilated by a scale factor of 4.

What are the coordinates of P′?

Write the ordered pair.

Answers

Hi there!

If (2,3) is a point and 4 is the scale factor, we need to multiply both x and y by 4 to dilate the figure. Doing this gives us (8,12).

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Justin collected data from his classmates on the type of condiment they prefer on their sandwich. Based on the data collected, if one hundred boys and one hundred girls are given a sandwich of their choice which statement is true?

9)
Boy Girl
Mayonnaise 12 14
Mustard 18 13
Plain 5 15

Answers

more boys than girls will choose mayonnaise over mustard and plain

Answer:

The answer is C

Step-by-step explanation:

Boy likes mayonnaise:

(12 + 18 + 5)

12 /35

= 0.3429 ≈ 34%

Girl likes mayonnaise:

(14 + 13 + 15)

14 /42

= 0.3333 ≈ 33%

thus,

boys (34 of 100) > girls (33 of 100)

kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?

Answers

5 quarters and 8 dimes would be the correct answer because

10x8=80
25x5=125
125+80=205

The blades on a wind turbine trace a circular path with radius 100 feet. Suppose the turbine spins at 20 revolutions per minute. What is the linear velocity, in miles per hour (1 mile equals 5,280 feet), of a point on the tip of a blade? Round the answer to the nearest tenth.

Answers

Radius = r = 100 feet
Angular velocity = w= 20 revolutions per minute = 20 x 2π radians per minute
Angular velocity = w = 40π radians per minute

Linear velocity = v = r w

So,

Linear velocity = v = 100 x 40π = 4000π feet per minute
v = 4000π x 60/5280 miles per hour
v = 142.8 miles per hour

Thus the Linear Velocity of the turbine will be 142.8 miles per hour

Final answer:

The linear velocity of a point on the tip of a blade on a wind turbine is approximately 0.05 miles per hour.

Explanation:

To find the linear velocity of a point on the tip of a blade on a wind turbine, we need to convert the rotational speed to linear speed. The formula to do this is linear speed = radius × angular speed. In this case, the radius is 100 feet and the turbine spins at 20 revolutions per minute. First, we convert the revolutions per minute to radians per second by multiplying by 2π/60. Then, we multiply the angular speed by the radius to find the linear speed.

Angular speed = 20 revolutions per minute × 2π/60 = 20π/60 = π/3 radians per second

Linear velocity = 100 feet × π/3 = 100π/3 feet per second

Finally, to convert the linear velocity to miles per hour, we divide by 5280 (since 1 mile equals 5280 feet).

Linear velocity = (100π/3) / 5280 ≈ 0.05 miles per hour

Learn more about Linear velocity here:

https://brainly.com/question/13723307

#SPJ2

Use the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth. 5x2 + 16x – 84 = 0

Answers

Hello!!

x + 6 = 0 or 5x - 14 = 0

x = -6 or 5x - 14 = 0

x = -6 or 5x = 14

Therefore, x = -6 or x = 14/5 (Two solutions found)

Good luck :)

plz help ill give u brainlist

Answers

Okay, so the ratio from yellow balls to white balls:
2:3
Let's represent it with n
5n = 50
n = 10
3 * 10 is 30
There are 30 white golf balls.

Find a function that models the population after t years

Answers

a) You have:

[tex]f(0) = 270000\\
f(1) = 1.04f(0), \\
f(2) = 1.04f(1) = 1.04(1.04f(0)), \\
f(t) = 1.04f(t-1) = 1.04(1.04f(t-2)) ... = 1.04^{t}f(0) = 1.04^{t}*270000 [/tex]

b) [tex]f(2004-1998) = 1.04^{2004-1998} * 270000 = 341636[/tex]

c)
[tex]1.04^{x-1998} * 270000 \geq 534094 \\ x - 1998 \geq {ln( \frac{534094}{270000} )}/{ln(1.04)} x \geq 2015.4 x = 2016[/tex]

Explain what is a Fungi?

Answers

A single-cellular living organism.

A fungi is any member of the group of eukaryotic organisms that includes microorganisms such as yeasts and molds, as well as the more familiar mushrooms.

what is the poorest country in the world

Answers

According to the data of December 2017, the most poorest countries in the world are in Africa (Guinea, Somali, Mozambique, Burundi, Malawi, Liberia, Central African Republic, Niger), the most poorest is Central African Republic.
Its economic basically is dependent on diamonds export, the most of the diamonds is soled on the 'black' market, which allow to pass the taxes of government...

Final answer:

The poorest countries in the world are primarily in Africa and Asia, according to the World Bank's 2020 report. These countries struggle with governance issues, economic struggles, conflict, and other socio-economic problems, inhibiting their growth. The Democratic Republic of Congo, despite its wealth in resources, significantly exemplifies this due to political instability.

Explanation:

According to the World Bank rankings, many of the poorest countries globally share common traits such as governance failures, economic struggles, and conflicts. These factors, among others, inhibit economic growth and improvement across sectors such as healthcare, education, and infrastructure.

As detailed in the World Bank's 2020 report, the ten lowest income countries include nations primarily located in Africa and Asia. Due to various socioeconomic issues, these countries have low gross national income (GNI) per capita, with notable examples including Afghanistan, Ethiopia, and Zimbabwe.

Learn more about World's poorest countries here:

https://brainly.com/question/39257610

#SPJ12

Other Questions

Al and Bill each have two bullets. They fire alternately at a glass bottle. Al has hitting probability 1/3 and Bill 1/4. What is the probability that Al smashes the bottle if he is the one who fires the first shot? (Note: Al can smash the bottle even if he misses with his first shot.) Which statement about ionic bonds is true? A. In ionic bonds atoms share electrons to achieve a stable outer shell. B. Ionic bonds occur between non-metals. C. Ionic bonds occur between two metals. D. In ionic bonds one atom accepts electrons from another atom to achieve a stable outer shell. As age occurs, what happens to people's ability to concentrate on a task for an extended period of time? in laboratory tests, older and younger adults were presented with a series if stimuli and were required ti press a jey only when they saw a particular pattern. The institution of slavery was formally abolished in the united states by the In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red. If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second? -1/8 -1/2 -2/3 -3/4 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?2x + y 102x 4y < 8 Jenna made this model to show the processes which resulted in the formation of oceans.Which of these statements best describes a flaw in Jenna's model?Water filled the basins after sea floor spreading.Water filled the basins after segments of Earth's crust moved.Earth's crust was formed after water filled the basins.Earth's crusts were broken down after the process of sea floor spreading. If your doctor told you that you have trep throat, you could conclude that you are infected with which type of pathogen? 8(t+2)-3(t-4)=6(t-7)+8 i dont understand this is 5.111111 correct? YO!!!!!!WILL GIVE 100 POINTS!!!!!!!!!!!BRAIN!!!!!!!!!!!! the psychological disorder that involves the coexistence in one person of two or more largely complete, and usually very different, personalities is What is the equation of the circle shown in the graph ? (Blank)^2 + (Blank)^2 = blank Frieda, age 16, is a boating enthusiast who can tie 20 different kinds of knots. This type of knowledge is most aptly described as __________ knowledge. Which item would be considered a musicians medium Georgia became a state of the United States of America in 1788. Since then, Georgia has had several constitutions to govern itself. A new constitution was ratified in 1798, 1861, 1865, 1868, 1877, 1945, 1976, and 1983. What can you conclude about the Georgia Constitution after reading this information? A)Georgia voters are required to vote on a new Constitution every 20 years. Eliminate B)The U.S. Constitution requires states to update their government whenever necessary. C)The citizens of the United States do not have enough say in the laws that govern them. D)Georgia's Constitution can be changed when there are major issues that need to be addressed. Because many social movements encounter official and unofficial opposition, __________ are what some theorists describe as places relatively free from surveillance where oppositional ideas and tactics can develop and spread. a rancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have ? Europe is waking out of a long deep sleep ... time was when learning was only found in the religious orders.... learning has passed to secular princes and peers The quotation best describes ? 4.Vicksburg could not be taken by direct assault, so it was taken by laying ___ to the city.siegeaidfireneutralityassistance Typing with capital letters and exclamation point in an email is an example of