a concert venue can hold 200 people. student tickets are 50% less than adult tickets. Adult tickets at $50.00. The venue was sold out and made a revenue of $9125 for one event. How many adults vs. student tickets were sold?

Answers

Answer 1

The number of adult tickets sold is 165 and number of students tickets sold were 35

Solution:

Let "a" be the number of adult tickets sold

Let "s" be the number of student tickets sold

Cost of 1 adult ticket = $ 50.00

Student tickets are 50% less than adult tickets

Cost of 1 student ticket = Cost of 1 adult ticket - 50 % of Cost of 1 adult ticket

[tex]\rightarrow 50.00 - 50 \% \text{ of } 50.00\\\\\rightarrow 50 - \frac{50}{100} \times 50\\\\\rightarrow 50 - 25 = 25[/tex]

Thus Cost of 1 student ticket = $ 25

Given that a concert venue can hold 200 people

So we get,

number of adult tickets sold + number of student tickets sold = 200

a + s = 200 ----- eqn 1

The venue was sold out and made a revenue of $9125 for one event

So we can frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of student tickets sold x Cost of 1 student ticket = $ 9125

[tex]a \times 50.00 + s \times 25 = 9125[/tex]

50a + 25s = 9125 ---- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "s"

From eqn 1,

a = 200 - s --- eqn 3

Substitute eqn 3 in eqn 2

50(200 - s) + 25s = 9125

10000 - 50s + 25s = 9125

-25s = 9125 - 10000

-25s = -875

s = 35

Substitute s = 35 in eqn 3

a = 200 - 35

a = 165

Thus the number of adult tickets sold is 165 and number of students tickets sold were 35


Related Questions

What decimal is bigger 0.33 or 0.34

Answers

Final answer:

To determine which decimal is bigger between 0.33 and 0.34, we compare the digits after the decimal point. Since the hundredths place in 0.34 is 4 and in 0.33 is 3, 0.34 is the larger decimal.

Explanation:

The question is asking to compare two decimals to determine which is larger. To compare 0.33 and 0.34, you look at the digits from left to right. Both numbers have a 0 before the decimal point, so you compare the digits after the decimal point. First, you compare the tenths place, the digit immediately after the decimal point. In both numbers, this digit is 3, so they are equal up to this point. Next, you look at the hundredths place, the next digit to the right. In 0.33, the digit is 3, while in 0.34, the digit is 4. Because 4 is greater than 3, 0.34 is the larger decimal.

Final answer:

0.34 is larger than 0.33 because the digit in the hundredths place is greater for 0.34.

Explanation:

When comparing two decimals, 0.33 and 0.34, we can determine which is larger by examining the digits from left to right. Here, both numbers have 0 before the decimal point and a '3' in the tenths place, but they differ in the hundredths place. Since 4 is greater than 3, the decimal 0.34 is larger than 0.33. To compare 0.33 and 0.34, we can look at the digits to the right of the decimal point. In this case, 0.34 has a larger digit than 0.33, so it is bigger.

Arleta is 2 years younger than Josh, and Josh is 5 years older than Monica, who is 9 years old. Which expression
could you use to find Arleta's age?
A (9+5+2) B (2+9-5) C (9-5+2)
D (9+5-2)? Please

Answers

Answer:

D (9+5-2)

Step-by-step explanation:

Monica is 9 years old, Josh is 5 years older -> 9 +5 is Josh's age

We also know that Arleta is 2 years younger than Josh -> 9+5 -2

Therefore Arleta (9+5-2) years old

I’m gonna buy a shirt on sale that was 20% less than it’s original price. The original price was five dollars more than the sale price what was the original price?

Answers

Answer:

The original price is $25

Step-by-step explanation:

Let x represent the original price

If the shirt was sold on a 20% discount. Then the sale price is 80/100x

The original price was five dollars more than the sale price .

To put this in an equation

X= 5+ 80/100x

X-0.8X= 5

0.2x= 5

X= 5/0.2

X= $25

How does the graph of g(x) = (x - 1) + 5 compare to the parent function f(x) = xº?
O g(x) is shifted 1 unit to the right and 5 units up.
g(x) is shifted 5 units to the right and 1 unit up.
g(x) is shifted 1 unit to the left and 5 units up.
g(x) is shifted 5 units to the right and 1 unit down.

Answers

Answer:

g(x) is shifted 1 unit to the right and 5 units up.

Step-by-step explanation:

f(x) =,

x  --------> (original function)

(x - 1) = [x - (+1)]------>  shifted 1 unit in the positive x direction, i.e 1 unit to right

(x - 1) + 5 ----------> shifted 5 units in the positive y direction, i.e 5 units up.

combining all the steps.

g(x) is shifted 1 unit to the right and 5 units up.

7 divided by 238 long division show work​

Answers

Answer:

The solution for long division of 238÷7 is 34 with remainder of 0. You may check the attached figure a to visualize step by step solution of this long division.

Step-by-step explanation:

Please check the attached figure a to visualize step by step solution of this long division.

Here is the step by step solution of 7 divided by 238.

Write the problem in long division format Divide 23 by 7 to get 3Multiply the quotient digit (3) by the divisor 7Subtract 21 from 23Bring down the next number of the dividendDivide 28 by 7 to get 4Multiply the quotient digit (4) by the divisor 7Subtract 28 from 28Remainder 0

Hence, The solution for long division of 238÷7 is 34 with remainder of 0. Please see the attached figure a to visualize step by step solution of this long division.

Keywords: long division, divide

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34 with the remainder of 0 is the result of the long division when 7 is divided by 238.  

The following steps will be taken to do the long division:

23 divided by 7 will result in 3

Divide the divisor by the quotient digit (3).

Subtract the numbers =  21 away from 23.

Bring the number as the next dividend figure.

28 divided by 7 will result in 4

Divide the divisor by the quotient digit (4).

Subtract 28 from 28 and the result is 0

The remainder after the division will be 7

The resultant will be 0.

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Circles!! Need help

Answers

Answer:

[tex]x_{123} x^{2} \sqrt{x} \neq \sqrt{x} \sqrt{x} \geq \neq \pi \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]  \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] x^{2} \pi[/tex]

Step-by-step explanation:

because im smart

Answer:

see explanation

Step-by-step explanation:

The measure of arc AE is

AE = 360° - (100 + 40 + 60)° = 360° - 200° = 160°

∠ BCD = 0.5( m arc AE - m arc BD ), that is

x = 0.5(160 - 40) = 0.5 × 120 = 60

What is another way to write 101 - 13.7x = 73.6

Answers

Answer:

x=2

Step-by-step explanation:

101-13.7x=73.6

13.7x=101-73.6

13.7x=27.4

x=27.4/13.7

x=2

Answer:

Step-by-step explanation:

well....there's a few

101 - 13.7x = 73.6

can be written like :

101 - 73.6 = 13.7x

or

- 13.7x = - 101 + 73.6

or

27.4 = 13.7x

or

27.4 / 13.7 = x

Is that what you mean ?

If 5 tractors can plow a field in 4 hours, how many hours will it take 3 tractors to plow the field?

Answers

Final answer:

It will take 3 tractors approximately 2.4 hours to plow the field.

Explanation:

To find out how many hours it will take 3 tractors to plow the field, we can use the concept of work rates.

Given that 5 tractors can plow the field in 4 hours, we can set up a proportion:

5 tractors / 4 hours = 3 tractors / x hours

Cross-multiplying, we have:

5(x) = 3(4)

Simplifying, we get:

5x = 12

Dividing both sides by 5, we find that x = 2.4 hours.

Therefore, it will take 3 tractors approximately 2.4 hours to plow the field.

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Final answer:

It would take one tractor 20 hours to plow the field, so with the combined rate of three tractors, it will take them approximately 6.67 hours to plow the field together.

Explanation:

The subject of this question is work-rate problems in Mathematics. To solve this problem, we must first determine the rate at which a single tractor can plow the field. If five tractors can plow a field in four hours, then one tractor would take five times as long, or 20 hours, to plow that same field alone.

Knowing this, we can now calculate how long it would take three tractors to plow the field together. Since one tractor takes 20 hours to plow the field, the rate of one tractor is 1 field per 20 hours. Therefore, three tractors would work at a rate of 3 fields per 20 hours, and so, it will take them 20/3, or approximately 6.67 hours to plow the field together.

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A plane is thrown. After 2 seconds is has gone 15 feet. After 7 seconds it has gone 55 feet. Find average rate of change of the plane.

Answers

Answer:

average rate of change of the plane = average speed = [tex]\frac{40}{5} =8\frac{feet}{s}[/tex]

Step-by-step explanation:

we know that

average rate of change of the plane = average speed of the plane

average speed = (change in distance)/(change in time)

since th goes from 15 feet to 55 feet from 2 seconds to 7 seconds

change in time = final time - initial time = 7-2 = 5 seconds.

change in distance = final distance - initial distance

                                = 55-15 = 40 feet.

therefore average speed = [tex]\frac{40}{5} =8\frac{feet}{s}[/tex]

How many 1/3 inch cubes does it take to fill a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3 inches?

Answers

Answer:

320 cubes

Step-by-step explanation:

3 1/3 inches = 10/3 inches

There are 10 lengths of 1/3 inch in 10/3 inches.

2 2/3 inches = 8/3 inches

There are 8 lengths of 1/3 inch in 8/3 inches.

1 1/3 inches = 4/3 inches

There are 4 lengths of 1/3 inch in 4/3 inches.

In the 3 1/3 inch by 2 2/3 inch by 1 1/3 inch box, you can place 10 by 8 by 4 cubes measuring 1/3 inch on the side.

10 * 8 * 4 = 320

Answer: 320 cubes

It will take 320 cubes of size 1/3 inch  to fill the box a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3 inches

Volume of a cube of side a inch is [tex]\rm a^3\; inch^3[/tex]

Length of one side of the cube = 1/3 inch

[tex]\rm Volume\; of \; the \; cube = (1/3)^3 = 1/27 \; inch^3[/tex]

[tex]\rm Length\; of \; the \; box = 3 \dfrac{1}{3}\; inches = \dfrac{10}{3}\; inches[/tex]

[tex]\rm Width\; of \; the \; box = 2 \dfrac{2}{3}\; inches = \dfrac{8}{3} \; inches[/tex]

[tex]\rm Height\; of \; the \; box = 1 \dfrac{1}{3}\; inches = \dfrac{4}{3} \; inches[/tex]

[tex]\rm The\; volume \; of \; cuboid\; = \; Length\times Width \times Height\\\\So \; the \; volume \; of\; the\; box = (10/3)\times (8/3) \times (4/3)[/tex]

Let there be n be the number of cubes in the box so

Sum of volumes of n cubes = Volume of the box

[tex]\rm n \times (1/27 ) = (10/3)\times (8/3)\times (4/3)\\n \times (1/27) = 320 /27\\n = \bold{320}[/tex]

So, It will take 320 cubes of size 1/3 inch  to fill the box a box with a width of 3 1/3 inches, a length of 2 2/3 inches, and a height of 1 1/3 inches.

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7. Destiny made 47 out of 70 free throws in her basketball season. What percent of free
throws did she make a Round io the nearest tenth of a percent.



Help please!!!

Answers

Answer:

72.3%

Step-by-step explanation:

© MP.7 Use Structure A carton of

staples has 50 packages. The carton

contains 25,000 staples in all. Each

package has an equal number of staples.

How many staples are in each package?

Explain how to use a basic fact to find the

answer.

Answers

Answer:

There are 500 staples in each package.

Step-by-step explanation:

This is a simple problem which requires us to tell number of staples each package have. The total number of staples in the catoon and the total number of staples that each package have is given in the question. So we can easily calculate total number of staples that each package have by dividing total number of staples in the cartoon by number of staples each packet have i.e.

25,000/50 = 500

A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l
the equations below has this parabola for its graph? (TEKS A2.4B-R)
ui...
Ay=1-(x - 2)^2
C y = -1 - (x + 2)^2
Dy= -1 - (x - 2)^2
B
y = 1 + (x + 2)^2

Answers

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

y = 1 - (x - 2)² → A

Final answer:

The equation of the parabola with its vertex at (2, 1) and that crosses the x-axis at (1, 0) is y=1-(x - 2)^2.

Explanation:

The vertex form of a parabola's equation is y=a(x-h)^2+k where (h, k) is the vertex. Here, the vertex is given as (2, 1). Also, it crosses the x-axis at (1,0), which makes it a downward-facing parabola(as y=0 when x=1), and hence, 'a' is negative. Now, we can compare the given options with these details.

Option A: y=1-(x - 2)^2 perfectly matches our requirements, because it's in the correct vertex form, and 'a' is negative (-1) which corresponds to a downward parabola.

So, the equation of the parabola with its vertex at (2,1) and that crosses the x-axis at (1,0) is y=1-(x - 2)^2.

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The quotient property of radicals requires the indices of the radicals to be the same.
Does this mean that it is not possible to write
the ((4th root of y^3)/(square root of y)) as a single radical? Explain.

Answers

Answer:

[tex]\sqrt[4]{y}[/tex]

Step-by-step explanation:

The quotient property of radicals requires the indices of the radicals to be the same.

This statement is true and is applicable also for expressing the ((4th root of y^3)/(square root of y)) as a single radical.

The given expression is  

[tex]\frac{\sqrt[4]{y^{3}}}{\sqrt{y} }[/tex]

Now, [tex]\sqrt{y}[/tex] can also be written as [tex]\sqrt[4]{y^{2}}[/tex], and hence,

[tex]\frac{\sqrt[4]{y^{3}}}{\sqrt{y} }[/tex]

= [tex]\frac{\sqrt[4]{y^{3}}}{\sqrt[4]{y^{2}}}[/tex]

= [tex]\sqrt[4]{\frac{y^{3}}{y^{2}}}[/tex]

= [tex]\sqrt[4]{y}[/tex] (Answer)

Answer:

The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y

Step-by-step explanation:

Got it right on edg

angle M and angle N are complementary angles which is the measure of angle N​

Answers

Answer:

75 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. If we are given that one angle is 15 degrees, we can find the other one using a simple one-step equation.

let x represent the measure of angle N

90 = 15 + x

Subtract 15 from both sides to isolate the variable

75 = x

Angle N measures 75 degrees

is y=2/7x proportional?

Answers

In the equation y=2/7x, y is directly proportional to x.

To determine if the equation y = (2/7)x represents a proportional relationship, you can check if it fits the criteria for proportionality. In a proportional relationship, the ratio between y and x should remain constant. This means that if you double x, y should also double, and so on.

In the equation y = (2/7)x, the coefficient 2/7 is a constant, and it is the same for all values of x.

Therefore, this equation represents a proportional relationship.

In this case, if you double the value of x, the value of y will also double, and if you triple x, y will also become three times its original value, and so on. This is a key characteristic of a proportional relationship.

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find the diamter of a circle if its area is 706.9mm²​

Answers

Answer:

30 mm

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have

[tex]A=706.9\ mm^2[/tex]

Substitute:

[tex]\pi r^2=706.9[/tex]          divide both sides by π

[tex]r^2=\dfrac{706.9}{\pi}[/tex]        use π ≈ 3.14

[tex]r^2\approx\dfrac{706.9}{3.14}\\\\r^2\approx225\to r=\sqrt{225}\\\\r= 15\ mm[/tex]

The diameter d = 2r.

Therefore

[tex]d=2(15)=30\ mm[/tex]

Answer:

30mm

Step-by-step explanation:

A=[tex]\pi[/tex][tex]r^{2}[/tex]

Substitute 706.9 for A and [tex]\pi[/tex] for 3.14

706.9= 3.14[tex]r^{2}[/tex]             divided both sides by 706.9

when you divided 3.14 by 3.14 it will cross and when you divide 706.9 by 3.14 it will give you 225.

[tex]\sqrt{225}[/tex]

15 times 15 is 225

radius= 15

d=2r

multiply 15 by 2

the answer is 30.

What is the scale of a map if b 3 cm on a map represent 4 km
PLEASE HELP

Answers

4 km = 4000 m = 400000 cm

Scale: 3:400000

answer: 3:400000

Final answer:

Scale on a map is the ratio between map distance and actual distance on Earth's surface. For the given question, the scale is found to be approximately 1 cm representing 1.33 km.

Explanation:

Scale on a map is the ratio between the distance on the map and the actual distance on Earth's surface. In this question, a scale of 3 cm representing 4 km means the ratio is 3 cm to 4 km. To find the scale, divide the map distance by the actual distance: 3 cm / 4 km = 0.75 cm/km. Therefore, the scale of the map is 1 cm representing approximately 1.33 km.

The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour? HURRY I ONLY HAVE 20 MIN PLEASE PLEASEEEEEEE

Answers

Answer:

-3.5 degrees per hour

[tex] - 3.5t[/tex]

Step-by-step explanation:

The total change is temperature is -12.25 degrees.

The total time is 3.5 hours.

This means that temperature changes by -3.5 degrees per hour (-12.25 degrees ÷ 3.5 hours).

As an expression of hours, simple multiply the coefficient by a variable. I'm assuming the letter t for time (where t is the number of hours):

[tex] - 3.5t[/tex]

Choose the point-slope form of the line passing through (3.5) with a slope of -3.
O y– 3 = -3 (x – 5)
o =3(y – 5) = 2-3
O y - 5 = -3 (2-3)
o 30 – 5y = -3

Answers

Answer:

y-5=-3(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-3(x-3)

4/18 exact decimal no rounding

Answers

0.222222222 is the exact decimal.

i need answersssss y<-2x+4​

Answers

Here is what it looks like graphed...I'm not sure what answer format you are looking to get.

~ Hope this helped, Good luck!

Solve for y 9x - y = -6x + 4y

Answers

Answer:

y = 3x

Step-by-step explanation:

Given

9x - y = - 6x + 4y ( subtract 4y from both sides )

9x - 5y = - 6x ( subtract 9x from both sides )

- 5y = - 15x ( divide both sides by - 5 )

y = 3x

You should put -6x under the 9X and 6X. So the 6X cancels out, then you would do -1Y or -Y on both sides , -Y cancels out that. So your left with 15X =5Y

Alex runs on the track at school each Weekday morning . If he runs 5.9 miles each day, about how much does he run every month?

Answers

Answer:

118 miles

Step-by-step explanation:

Assuming that a month has 4 weeks

Each week has 5 weekdays.

The number of weekdays in a month is the number of weeks times 5.

4 X 5 = 20

Multiply the number of weekdays in a month by 5.9 miles.

20 X 5.9 miles = 118 miles

Therefore he runs 118 miles every months.

find the pair of fractions as a pair of fractions with a common denominator 1/4 and 2/3

Answers

Answer:

[tex]\frac{3}{12} ,\frac{8}{12}[/tex]

Step-by-step explanation:

Given fraction: 1/4 and 2/3

To find common denominator, we will use Least common divisor (LCD) of 4 and 3.

[tex]4= 2\times 2\\3= 3\times 1[/tex]

∴ Least common divisor (LCD) = [tex]4\times 3= 12[/tex]

Now, to make denominator common for both the fractions, we need to multiply denominator with a number equal to 12.

∴ [tex]\frac{1}{4} =\frac{?}{12}[/tex]

Multiply numerator and denominator by 3

[tex]\frac{1\times 3}{4\times 3} = \frac{3}{12}[/tex]

Next solving for another fraction:

[tex]\frac{2}{3} =\frac{?}{12}[/tex]

Multiply numerator and denominator by 4

[tex]\frac{2\times 4}{3\times 4} = \frac{8}{12}[/tex]

We have [tex]\frac{3}{12}\  and \ \frac{8}{12}[/tex] with common denominator.

Hanley made 14 out of 35 shots in his last basketball game. What percent did he shoot ?

Answers

Answer: 40%

Step-by-step explanation: To find out what percent of shots Hanley made in the last basketball game, we need to write 14/35 as a percent.

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write 14/35 as a percent, we need to find a fraction equivalent to 14/35 with a 100 in the denominator. We can do this by setting up a proportion.

So we have [tex]\frac{14}{35} = \frac{n}{100}[/tex]

Now, we can use cross products to find the missing value.

1,400 = 35n

÷35      ÷35   ← divide by 35 on both sides of the equation

   40 = n

This means that Hanley made 40% of his shots last basketball game.

To find the percentage of how many shots Hanley made, we can divide how many shots he made to how many shots he took.

14 ÷ 35 = 0.4

Multiply by 100 to find the percentage.

0.4 * 100% = 40%

Thus, Hanley made 40% of his shots.

Best of Luck!

find the equivalent expression using the same bases (97*59)^9

Answers

Answer:

Exact form : 5723^9

Decimal form : 6.58587848 • 10^33

Step-by-step explanation: Evaluate.

Hope this helps you out! ☺

need help pls i dont understand​

Answers

Answer:

yes it is proportional but i can't see what the rest of the answers say

Step-by-step explanation:

It is proportional. I can’t see the rest of it though.

point e is located at -12 on the numbers line. Point f is located at 9 on the numbers line.

what is the distance between point E and point F on the number line?

Answers

the distance would be 21. to find the difference, add the absolute values so 12+9, which equals 21

PLEASE HURRY!! CORRECT GETS BRAINLIEST!!!

Answers

Answer:  

arc VU = 44º  

Explanation:

The angle STV is an inscribed angle, i.e. an angle with its vertex (point T) on a circle and formed by two intersectic chords.

As per the inscribed angle therorem, this angle is half the central angle.

Thus, the central angle is 82º × 2 = 164º.

That central angle is the measure of the arc SVU.

By the construction, the measure of the arc SV plus the measure of the arc VU is equal to the measure of the arc SU.

Thus, you have:  

arc SVU = arc SV + arc VU

164º = 120º + arc VU

arc VU = 164º - 120º = 44º
Other Questions
Find the length of the third side of each triangle The function c=3x-y is minimized at the vertex point of the feasible region at (4,5). What is the minimum value How would you define the following ad placed by a broker in NY, "Two-family home, $190,000, Call 212-123-4567"? Water is being pumped continuously from a pool at a rate proportional to the amount of water left in the pool. Initially there was 15,000 gallons of water in the pool; six minutes later there was 13,800 gallons. At what rate was the amount of water in the pool decreasing when there were 14,000 gallons remaining and when will there be 5,000 gallons remaining? Please show all steps. A major challenge in designing marketing communications is being able to grab the attention of the target audience in a crowded media field. Which of the following factor(s) contribute to creating this challenge?A. Fragmentation of mass mediaB. Proliferation of alternative ways to reach consumersC. Increasing skepticism of consumers in receiving marketers' messagesD. Desire of consumers to co-create the meaning of brandsE. All of the answers are correct. which quotation is an example of pathos?A) "I'm old enough and I've proven lots of times that i can handle responsibilityB)"That way you wouldn't be worried sick about meC) I ride public transportation all the time and with a cell phone i could call you if i ever got delayed or stranded somewhereD) cell phones have been proven not to cause brain tumors Which one of the following best characterizes tsunamis? They cause the land to ripple and oscillate. They are faster than seismic surface waves. They have relatively small amplitudes compared to their very long wavelengths. They are easily seen at sea but are lost in the swell and breaking waves along a coast. In the 1880s and 1890s more Anglo-Americans entered the Southwest, largely due to the expansion of the region's Labor markets and government policies are both important factors that influence _ solve the inequality 4y+3>2y+14 What is 86 as a fraction in simplest form WORTH 8 POINTSWhat is the area of a rectangle with side lengths of 6/8 meter and 4/ 10 meter? Which of the following best describes negative reinforcement?a. The dog works to avoid something he considers unpleasantb. Saying "NO" to a dog whenever the dog disobeysc. Not petting the dog unless he obeysd. Correcting the dog with a leash and collar when the dog disobeys atom with the largest atomic radius in group 18 In the fabrication of an electrical extension cord, the manufacturer wants to reduce the overall resistance of the wires in the extension cord. Which of the following changes would result in the lowest resistance?A) decrease the diameter of the wiresB) increase the diameter of the wiresC) choose a metal wire with a larger value of resistivityD) increase the length of the extension cord discuss the three main religions in Liberia twice a number x,minus 19 Automatic stabilizers refer to: A) the money supply and interest rates that automatically increase or decrease along with the business cycle. B) government spending and taxes that automatically increase or decrease along with the business cycle. C) changes in the money supply and interest rates that are intended to achieve macroeconomic policy objectives. D) changes in federal taxes and purchases that are intended to achieve macroeconomic policy objectives. an amount of $41,000 is borrowed for 7 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of that year, how much must be paid back? Which of the following statements best describes the political climate of pre-RevolutionaryAmerica?The colonists were content with the lives they had established in AmericaThe colonists resented the laws and taxes Parliament levied on them.The colonists felt powerless to do anything to express their lack of satisfaction with King George IIIThe colonists' representatives voted against new taxes, but Parliament passed the bills. Steam Workshop Downloader