Last month, the seventh grade and eighth grade math classes at Moore Middle School collected canned goods for the local food shelter. The dot plots below show the number of canned goods collected by the classes.


The mean absolute deviation for each grade level is 1.6. The difference between the mean number of canned goods collected by each grade level is how many times the mean absolute deviation?
A. 5
B. 4
C. 3
D. 6

Last Month, The Seventh Grade And Eighth Grade Math Classes At Moore Middle School Collected Canned Goods

Answers

Answer 1
To answer this question you will need to find the mean of each class and then subtract them. You will then compare this difference to the MAD of 1.6.

Mean of 7th grade class is:
420/20=21

Mean of 8th grade class:
325/25=13

21-13=8

To find how many times , divide 8 by 1.6.

8/1.6= 5 times

The difference of the means is 5 times the MAD (mean absolute deviation).

Related Questions

Answer ASAP

Find the area

Answers

In this problem, you are asked to find the area of the trapezoid. The formula in finding the area of the trapezoid is:

A = [(a + b)/2] x h

Where a = base 1

             b = base 2

             h = height

Substituting the given measurements to the formula:

A = [(1.7 m + 6.7 m) / 2] x 5 m

A = (8.4 m / 2) x 5 m

A = 4.2 m x 5 m

A = 21 m^2

Therefore, the area of the trapezoid is 21 square meters.

Tropical forests are being lost at the rate of 5 million hectares per year. how many hectares per day is that? how many hectares per minute?

Answers

5,000,000/365= 13,698.630137 hectatres per day /1440 = 9.5129375951388..... hectares per minute

365 days in a year
1440 minutes in a day (24hrs)


A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the number of bottles. Conditions on the maximum amount of total weight and volume lead to two of the inequalities.
Which descriptions correspond to solutions of this system?
7 cans and 140 bottles
12 cans and 40 bottles
8 cans and 120 bottles
9 cans and 70 bottles

Answers

we have that
We will analyze each case to verify the answer
see the attached figure

Point A) 7 cans and 140 bottles------------> (x,y)=(7,140)----> is not solution
Point B) 12 cans and 40 bottles------------> (x,y)=(12,40)----> is not solution
Point C) 8 cans and 120 bottles------------> (x,y)=(8,120)----> is a solution
Point D) 9 cans and 70 bottles------------> (x,y)=(9,70)-------> is a solution

the answer is
the solutions are
8 cans and 120 bottles
9 cans and 70 bottles

1. Let f(x)=8/1+3e^−0.7x. What is the value of f (−3)?
2. Let f(x)=20/1+9e^3x. What is the y-intercept of the graph of f(x)?
3. Let f(x)=24/1+3e^−1.3x. What are the asymptotes of the graph of f(x)?
4. Let f(x)=15/1+4e^−0.2x. What is the point of maximum growth rate for the logistic function f(x)?
5. Let f(x)=24/1+3e^−1.3x. Over what interval is the growth rate of the function decreasing?

Answers

Final answer:

This detailed answer covers evaluating functions at specified values, identifying the y-intercept of a function's graph, determining asymptotes, identifying points of maximum growth rate in logistic functions, and intervals where the function's growth rate is decreasing, all critical concepts in understanding mathematical functions in high school.

Explanation:

The questions provided are focused on evaluating specific values of functions, understanding the y-intercept of a graph, determining asymptotes, identifying points of maximum growth rate, and assessing intervals of decreasing growth rate for various exponential and logistic functions. Each of these concepts plays a crucial role in understanding the behaviors and characteristics of different types of mathematical functions, which are fundamental in high school mathematics.

To find f(-3) for the function f(x)=8/(1+3e^{-0.7x}), substitute x=-3 and evaluate.The y-intercept of a graph is found by evaluating the function at x=0.Asymptotes can be determined by evaluating the limits of the function as x approaches infinity or negative infinity.The point of maximum growth rate for a logistic function occurs at the point where the function's second derivative changes sign.The growth rate is decreasing over intervals where the second derivative of the function is negative.

Use substitution to write an equivalent quadratic equation.
(3x + 2)2 + 7(3x + 2) – 8 = 0

Answers

Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0

_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3
CORRECT ANSWER : u^2+7u-8=0, where u=3x+2

Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach into the drawer in the dark and randomly pick out 2 pairs for your business trip. what is the probability your pick out in this order. 2 black pairs?

Answers

All socks together: 13
Black socks: 3

Probability to pick out black socks: 3/13

After one pick out (You picked out a pair of black socks):

Probability to pick out black socks: 2/12

Multiply them:

2/12 * 3/13 = 1/26 ≈ 0,038

The probability your pick out in this order 2 black pairs 1/26.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Mathematics to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory.

According to the question,

The sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks.

All socks together = 3+4+5 = 13

Black socks = 3

Probability to pick out black socks: 3/13

After one pick out (You picked out a pair of black socks),

Probability to pick out black socks: 2/12

Then, the probability = 2/12 × 3/13 = 1/26.

Hence the required probability = 2/12 × 3/13 = 1/26.

To learn more on probability click :

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Which statement below completes Anastasia's proof?

Answers

What are the Statements?

In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are congruent)

In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are parallel)

In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)

In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are parallel)



are the statments

Chloe’s 5 ft 4 inches tall. There are 2.54 centimeters in 1 inch . What is Chloe’s height in centimeters ?

Answers

First you convert all the ft into inches. You know that there are 12 inches in a feet. So, 5*12 = 60. 60+4 = 64 in. Since we know 1 in = 2.54 cm, we can multiply:
[tex]2.54(64) = 162.56cm[/tex]

So, your answer is: 5ft4in = 162.56cm

solving the whole thing

Answers

Let
x---------------> distance from people living to the city center

we Know that
Zone 1 covers people living within three miles of the city center
Zone 1 ------------> [x < 3 miles]

Zone 2 covers those between three and seven miles from the center
Zone 2 ------------> [ 3 <= x < = 7  miles]

Zone 3 covers those over seven miles from the center
Zone 3 ------------> [  x > 7  miles]

calculate the distance between two points to find the value of x

case A) point (0,0)  point (3,4)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(4-0)² +(3-0)²]------> √[16+9]
x=√25-------------> x=5 miles

the answer Part A)
people living in (3,4)
x=5 miles -------------> covers Zone 2 [ 3 < =x <= 7  miles]


case B) point (0,0)  point (6,5)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(5-0)² +(6-0)²]------> √[25+36]
x=√61-------------> x=7.81 miles

the answer Part B)
people living in (6,5) 
x=7.81 miles -------------> covers Zone 3 [  x > 7  miles]

case C) point (0,0)  point (1,2)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(2-0)² +(1-0)²]------> √[4+1]
x=√5-------------> x=2.23 miles

the answer Part C)
people living in (1,2) 
x=2.23 miles -------------> covers Zone 1 [ x < 3  miles]

case D) point (0,0)  point (0,3)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(3-0)² +(0-0)²]------> √[9]
x=√9-------------> x=3 miles

the answer Part D)
people living in (0,3) 
x=3 miles -------------> covers Zone 2 [ 3 < =x <= 7  miles]

case E) point (0,0)  point (1,6)
x=√[(y2-y1)² +(x2-x1)²]----------> √[(6-0)² +(1-0)²]------> √[36+1]
x=√37-------------> x=6.08 miles

the answer Part E)
people living in (1,6) 
x=6.08 miles -------------> covers Zone 2 [ 3 < = x <= 7  miles]

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points)

Answers

do the volume of a circle then multiply by the length of the cylinder
area of a circle = 
diameter/2 = radius
so 4^2 = 16   16*3.14 = 50.24
50.24*(4*3) = 50.24*12 = 602.88

solve for X
This is 10th grade Geometery (USA)

Answers

You can set up proportions:
[tex] \frac{55}{35} = \frac{x}{42} [/tex]

Now you can cross multiply:
[tex]55(42) = 35x[/tex]

Solve for x:
[tex]x = \frac{55(42)}{35} = 66 [/tex]

So, x = 66.

Can you help find the first 5 terms and the explicit formula

Answers

Remember that the explicit formula for an arithmetic sequence is: 
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where
[tex]a_{n}[/tex] is the nth term
[tex]a_{1}[/tex] is the first term 
[tex]n[/tex] is the position of the term in the sequence
[tex]d[/tex] is the common difference

We know from our problem that  [tex]a_{1}=7[/tex] and [tex]d=7[/tex], so lets replace those vales in our formula:
[tex]a_{n}=7+(n-1)7[/tex]
[tex]a_{n}=7+7n-7[/tex]
[tex]a_{n}=7n[/tex]
Now that we have the explicit formula for our sequence we can find its first 5 terms:
[tex]a_{1}=7[/tex]
[tex]a_{2}=7(2)=14[/tex]
[tex]a_{3}=7(3)=21[/tex]
[tex]a_{4}=7(4)=28[/tex]
[tex]a_{5}=7(5)=35[/tex]

We can conclude that the first five terms of our arithmetic are: 7,14,21,28,35, and its explicit formula is [tex]a_{n}=7n[/tex]  

Help please, explain each step or no points.

Answers

The proportion pop/total = 5/7 is presumed to hold for the next 500 songs.

pop/500 = 5/7
pop = 500*5/7 ≈ 357

357 of the next 500 songs downloaded are expected to be pop songs.

Use 3.14 for the radius to estimate the area of a circle the diameter is given round your answer to the nearest hundredth if necessary.

Answers

r = 24.4 / 2 = 12.2

A = 3.14 (12.2)^2
A = 3.14 (148.84)
A = 467. 36

hope it helps

mafaaaaaaaaaaaaaaaaaaaaa

Answers

Hey there! 

Add [tex]2[/tex] each of your sides  

Like: 

[tex]-5 + 2 \leq n - 2 + 2 \leq 2 +2 \\ \\ -3 \leq n \leq 4 \\ \\ Answer: C. \\ \\ \\ Good \\luck \\ on \\ your \\ assignment \\ and \\ enjoy \\ your \\ day\\ \\ \\ \\ LoveYourselfFirst:)[/tex]
-5 ≤ n - 2 ≤ 2

-5 ≤ n - 2  AND  n - 2 ≤ 2

-5 + 2 ≤ n 
-3 ≤ n
n ≥ -3 
  
n - 2 ≤ 2
n ≤ 2 + 2
n ≤ 4

So -3 ≤ n ≤ 4 (Third one)
  

If mike drank more than half the juice inhis glass.what fraction of the juice could mike have drunk.

Answers

1/2 would be the answer for that question. Although- it might be wrong though. So if is, I apologize.

Elaine bought a total of 15 shirts and pairs of pants she bought 7 more shirts than the pants how many of each did she buy

Answers

15-7 = 8

8/2 = 4

4+7 = 11

she bought 11 shirts and 4 pairs of pants

Robin bought a computer for $1,250. It will depreciate, or decrease in value, by 10% each year that she owns it.

a) Is the sequence formed by the value at the beginning of each year arithmetic, geometric, or neither? Explain.
b) Write an explicit formula to represent the sequence.
c) Find the value of the computer at the beginning of the 6th year.

Answers

Remember that the general formula of geometric sequence is [tex]a _{n} =(a_{1})(r^{n-1})[/tex]
where 
[tex]a_{n}[/tex] is the nth term
[tex]a_{1}[/tex] is the difference
[tex]n[/tex] is the place of the term in the sequence
Also, to find [tex]r[/tex] we will use the formula: [tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
where 
[tex]a_{n}[/tex] is the current term in the sequence 
[tex]a_{n-1}[/tex] is the previous term 

a) Lets find the three first terms of our sequence to check what type of sequence we have:
We know for our problem that the initial value of the computer is $1250, so our first term is 1250. In other words [tex]a_{1}=1250[/tex].
To fin our second term [tex]a_{2][/tex], we are going to subtract 10% of the value to our original value:
[tex](1250)( \frac{10}{100} )=125[/tex] and [tex]1250-125=1125[/tex], so 
[tex]a_{2}=1125[/tex]
To find our third term [tex]a_{3}[/tex] we are going to subtract yet again 10% to our current value:
[tex](1125)( \frac{10}{100} )=112.5[/tex] and [tex]1125-112.5=1012.5[/tex], so
[tex]a_{3}=1012.5[/tex]
Now that we have our sequence [tex]1250 , 1125 , 1012.5[/tex] lets check if we have a consistent [tex]r[/tex] to prove we have a geometric sequence:
- with [tex]a_{n}=1012.5[/tex], and [tex]a_{n-1}=1125[/tex]:
  [tex]r= \frac{1012.5}{1125}=0.9[/tex]
- with [tex]a_{n}=1125[/tex], and [tex]a_{n-1}=1250[/tex]:
  [tex]r= \frac{1125}{1250}=0.9[/tex]
Look! our [tex]r[/tex]s are the same, so we can conclude that we have a geometric sequence.

b) To do this we just need to replece the values of our sequence in the general formula of a geometric sequence. We know from our previous point that [tex]a_{1}=1250[/tex] and [tex]r=0.9[/tex]. So lets replace those values in geometric sequence formula to find our explicit formula:
[tex]a_{n}=1250(0.9)^{n-1}[/tex]

c) To find the value of the computer at the beginning of the 6th year, we just need to find the 6th therm in our geometric sequence:
[tex]a_{n}=1250(0.9)^{n-1}[/tex]
[tex]a_{6}=1250(0.9)^{6-1}[/tex]
[tex]a_{6}=1250(0.9)^{5}[/tex]
[tex]a_{6}=738.1125[/tex]
We can conclude that the value of the computer at the beginning of the 6th year will be $738.1125

We want to answer different things about an exponential decay, the answers are:

a) Geometric.b) [tex]A_n = (0.9)^{n-1}*1250[/tex]c) $738.10.

So we know that the original price of the computer is $1250 and the value decays by 10% each year.

So in year 1, the new value of the computer will be:

V = $1250*(1 - 0.1) = $1250*0.9

On year 2, the new value will be:

V = ( $1250*0.9)*0.9 = $1250*(0.9)^2

And so on.

a) This sequence is a geometric sequence because each term is a constant times the previous term, where the constant is 0.9.

[tex]A_1 = 1250\\A_2 = 0.9*1250 = 1125\\A_3 = 0.9^2*1250 = 0.9*1125 = 1012.5 \\...[/tex]

b) The explicit formula for a geometric sequence is:

[tex]A_n = k^{n-1}*A_1[/tex]

where:

k is the constant, in this case, is 0.9

A1 is the first term of the sequence, in this case, is 1250

Then we have:

[tex]A_n = (0.9)^{n-1}*1250[/tex]

c) Here we just need to replace n by 6 in the above formula:

[tex]A_6 = (0.9)^5*1250 = 738.1125[/tex]

This means that the price of the computer in the 6th year is $738.10

If you want to learn more about exponential decays, you can read:

https://brainly.com/question/3966275

An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when the height is 300 feet?

I am using the formula: -16t^2 + vot + h0 because the question is referring to feet.

Answers

The question is asking what v_final is, given that v_initial is at 300 feet. and v_initial is at 0 feet.  
We know there will be a constant downward acceleration of 32.15 ft/s^2.
 Use the following equation: 
 v_final^2 = v_initial^2 + 2ah
 v_final^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft) = 6310 ft^2/s^2
 v_final = (6310 ft^2/s^2)^1/2 = 79.4 ft/s.

The speed of the debris is 79.4 ft/s

Calculation of the speed:

Since there is an initial velocity of 160 feet per second, height is 300feet

So, we applied the below formula

[tex]v_({final})^2 = v_({initial})^2 + 2ah\\\\ v_({fina})l^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft)\\\\ = 6310 ft^2/s^2\\\\ = (6310 ft^2/s^2)^{1/2}\\\\ = 79.4 ft/s.[/tex]

Therefore, The speed of the debris is 79.4 ft/s

Learn more about speed here: https://brainly.com/question/1825528

On each of 3 days Derrick rode 6.45 km to school 150 meters to the library and then 500 m back home how many km did he ride for the three days all together

Answers

Derrick rode 21 total km. 

You can find this by adding the 3 distances together and multiplying by 3. Also remember to watch the units as 500m = .5km. 

Which of the following will typically offer the lowest interest rate?

A. Basic savings
B. Certificate of deposit
C. Savings bond
D. Money market savings
@countonme123 @sara17,

Answers

The lowest interest rate out of those options would be (A) Basic Savings Account. This is usually a liquid asset at banks that will not offer high interest. Next would be (D) Money Market, which is also offered mainly by banks. (B) and (C) are both safe investment options that will offer higher rates than normal bank accounts.

Glamour runs 2/3 mile each day she wants to know how many days she has to run before she has run a whole number of miles

Answers

Hello!

2/3 × 1 = 2/3

2/3 × 2 = 4/3 (or 1 1/3)

2/3 × 3 = 2



You can also convert 2/3 to a decimal by dividing the numerator by the denominator and then multiply that to get a whole number.

ANSWER:

Glamour will have to run for 3 days to run a whole number of miles. The whole number is 2.


Samuel paid $720 for a new music system. The list price for the music system was $800. What was his rate of discount?

Answers

Answer:

His rate of discount=10%

Step-by-step explanation:

Step 1: Get the discount amount

Discount amount=List price-sale price

where;

List price=$800

Sale price=$720

replacing;

Discount amount=(800-720)=80

Discount amount=$80

Step 2: Calculate discount rate

The discount rate can be calculated as;

discount rate=(discount/List price)×100

where;

discount=$80

List price=$800

replacing;

discount rate=(80/800)×100=10%

discount rate=10%

help!!!!!!! please !!!!!!!

Answers

c  is the answer hope it helps


The corners are right angles, but the sides are different lengths. The figure is a rectangle.

Select the ratios whose simplest form is 8/7

Answers

48:42 
16:14
56:49
I hope this helps.

Answer:

48:42

16:14

56:49

Step-by-step explanation:

I hope I made your day

Will give Metal! From 1948 to 1994, South Africa existed under a system of apartheid. Under this system, white South Africans- about 18% of the population- controlled all of the instruments of government: the Parliament, the Executive Branch, and the courts. Black and non-white South Africans had few legal rights and could not vote in elections. Voting was limited to white South African citizens. . This passage is describing what type of government? A) autocratic B) democratic C) dictatorship D) oligarchic,

Answers

Oligarchic An oligarchy is a small group of people having control of a country, organization, or institution. White South Africans were a very small percentage of the population, but had control over the entire government.

If 1 inch represents 75 miles on a map, then how many inches will represent 1500 miles? a. 10 c. 12 b. 20 d. 14

Answers

Hello,

Here is your answer:

The proper answer to your question is option B "20".

Here is how:

Just use this equation:

1500/75=20

Which means its 12!

If you need anymore help feel free to ask me!

Hope this helps!
Answer:
20 inches

Explanation:
We are given that:
1 inch represents 75 miles
Therefore,
To solve this question, we will simply use cross multiplication as follows:
1 inch ..................> 75 miles
?? inches ............> 1500 miles

Number of inches = (1500*1) / (75) = 20 inches

Hope this helps :)

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
14ich long 9inch wide half of shape with dotted line

Answers

1. To solve this problem you must sum the volume of the cone and the volume of the hemisphere. This means that the volumen of the prop is:

 Vt=Vc+Vh

 Vt is the volumen of the prop.
 Vc is the volumen of the cone.
 Vh is the volume of the hemisphere.

2. The volume of the cone (Vc) is:

 Vc=1/3(πr²h)

 r=9 in
 h=14 in
 π=3.14

 4. Then, you have:

 Vc=(3.14)(9 in)²(14 in)/3
 Vc=3560.76 in³/3
 Vc=1186.92

 5. The volume of the hemisphere (Vh) is:

 Vh=2/3(πr³)

 π=3.14
 r=9 in

 6. Then, you have:

 Vh=(2)(3.14)(9 in)³/3
 Vh=4578.12 in³/3
 Vh=1526.04 in³

 7. Finally, the volumen of the prop (Vt) is:

 Vt=Vc+Vh
 Vt=1186.92 in³+1526.04 in³
 Vt=2713.0 in³

 What is the volume of the prop?

 The volume of the prop is 2713.0 in³

Great Dish believes that it will need new equipment in 8 years. The equipment will cost $26,000. What lump sum should be invested today at 12%, compounded semiannually, to yield $26,000? a. $20,186.02 c. $16,388.00 b. $16,145.82 d. $10,234.80

Answers

Answer:

d. $10,234.80

Step-by-step explanation:

we are given

The equipment will cost $26,000

so, Amount is $26000

A=26000

should be invested today at 12%

r=12%=0.12

It is compounded semiannually

so, n=2

t=8

now, we can use formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

now, we can plug values

[tex]26000=P(1+\frac{0.12}{2})^{2\times 8}[/tex]

now, we can solve for P

[tex]P=10234.80338[/tex]

What is the graph of the function f(x) = the quantity of x plus 4, all over x plus 6?

Answers

I've downloaded a graph for you. It is one of the first things you should always think about with a question like this one. You should notice the following about it:
1. The denominator gives a discontinuity point at (x = - 6). You can tell that is happening just by looking at the graph at x = - 6. The range at that point is - infinity to plus infinity. Other critical points are much better behaved. The y intercept is when x = 0 or 4/6 = 2/3.  So the point is (0,2/3)

There is one x intercept at y = 0. When that happens 
x + 4  = 0
x = - 4
Point (-4,0) 

Notice the whole denominator gets multiplied out. 0 * (x + 6) = 0
Other Questions
Find the length of the leg of a 16 90 45 triangle Ignacio calls a telephone hot line because he is thinking of harming himself. the telephone counselor asks him if he is married, if he has ever harmed himself before, and the stressors he faces. why are these questions being asked?a. the counselor is assessing his lethality.b. the counselor just wants to establish good rapport.c. the law requires this information about everyone who calls a telephone hot line.d. the counselor is performing a psychological autopsy. How might different classes of french people have reacted to the opulence and extravagance of the palace of versailles? The length of a rectangle is 2 ft longer than its width. if the perimeter of the rectangle is 32 ft , find its area. Solar energy from the Sun's rays is absorbed by the Earth's land and water surfaces. This absorbed energy is then radiated back to the atmosphere as infrared radiation. Most of the radiation cannot be transmitted and is absorbed by the atmosphere. This absorption adds heat to the atmosphere and helps keep the Earth warm enough to support life. The process described above is known as how is the graph of y=-1/2(5)^x-3 translated from the graph of y=1/2(5)^x if slope =2;goes through(-1,4) y = solve the equation what is -12=3x+31.-52.-23.04.3 What would happen to the moon if Earth stopped exerting the force of gravity on it? Which Native American culture was MOST affected by the reduced number of buffalo in the 1800s? A)Inuit B)Plains C)Pacific Northwest D)Eastern Woodlands Arnold's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $40 a day for food and lodging and $0.50 for each mile traveled. Arnold drove 400 miles and was reimbursed $2600. Part A: Create an equation that will determine the number of days x on the trip (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Arnold spend on this trip? (1 points) How many liters of fluorine gas, at 298 K and 0.98 atm, will react with 23.5 grams of potassium metal? Show all of the work used to solve this problem. 2K + F2 2KF simple interest = P r tJoe borrowed $900 from Sam for six months. How much will Sam earn if he charges Joe a simple interest rate of 4 percent? The viennese composer who, after writing in both post-romantic and atonal styles, invented the twelve-tone method was: The Muslim rebels who fought against the Soviet invasion of their country in the 1980s were calledthe TalibanMuslim BrotherhoodMujahideenISIS Which word is misspelled? wishes, attornies, follies, babies Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8) . Which sequence of transformations shows that triangle ABC and triangle FGH are congruent? Select each correct answer. Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units. Translate triangle FGH down 4 units, and then translate triangle FGH left 5 units. Translate triangle FGH up 4 units, and then translate triangle FGH left 5 units. Translate triangle ABC down 4 units, and then translate triangle ABC left 5 units. what is the name of the process of liquid water changing into water vapor due to heating? A. respiration B. evaporation C. photosynthesis D. precipitation Describe how to make 1.50 liters of a 0.01 M ammonium chloride solution In a lesson before dying in chapter 20 what is the Sheriff's concern