How many pounds of candy that sells for $1.25 per Ib must be mixed with candy that sells for $0.75 per lb to obtain 20 lb of a mixture that should sell for $1.20 per lb?

Answers

Answer 1

Let x be the number of pounds of candy that sells for $1.25 per lb that we need to mix, and let y be the number of pounds of candy that sells for $0.75 per lb. We can set up a system of equations to represent the problem:

x + y = 20 (we need a total of 20 pounds of candy in the mixture)

1.25x + 0.75y = 1.20(20) (the value of the mixture should be $1.20 per lb)

Simplifying the second equation, we get:

1.25x + 0.75y = 24

Multiplying the first equation by 0.75 and subtracting it from the second equation, we can eliminate y:

1.25x + 0.75y = 24

0.75x + 0.75y = 15

0.5x = 9

Dividing both sides by 0.5, we get:

x = 18

Therefore, we need 18 pounds of candy that sells for $1.25 per lb and 2 pounds of candy that sells for $0.75 per lb to make a 20-pound mixture that sells for $1.20 per lb.

Answer 2
You need 18 pounds of candy

Related Questions

Please help will give brainliest

Please help will give brainliest

Answers

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

\(\displaystyle \frac{1}{8}L=9\)

Where L represents the total length of the ribbon.

Solve for the total length:

\(\displaystyle L=72\text{ inches}\)

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

\((4x)+(5x)=63\)

Solve for x:

\(9x=63\Rightarrow x=7\)

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.

B) 28 hope this helps!!

A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:

80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.

The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.

Answer the questions to solve the problem.

1. How many students did the teacher survey?

2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth. Show your work.

3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?

4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.

Answers

He surveyed 210 student

I need one example of an interger with answers

Answers

Answer:

The numbers 1; 2; 3; 4 etc. are called the natural numbers. The natural numbers, 0 and the negative whole numbers together are called the integers. But to go from 45 from 20 you have to subtract 5

An Integer is a whole number that is a not a fraction ex. 1,2,3,4,5,6,7,8,9,0

Use the best-fit line below to predict the value of y when x = 7

Use the best-fit line below to predict the value of y when x = 7

Answers

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

The answer to the question is 6

Find the perimeter of this shape.

Find the perimeter of this shape.

Answers

Answer:

draw a line that makes a triangle and rectangle.

hypotenuse= 30

3k-4k-5k triangle

18-24-30

so the short part of triangle is 18 cm

10+10+18+24+30 equals 92

sorry for language I am not familiar with English

the perimeter of this shape is

24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm

Can someone pls help me with this first right answer gets brainlist

Can someone pls help me with this first right answer gets brainlist

Answers

116.

116.
you add the m<1 and the m<3 and make them equal to 180. the value of x can then be substituted into the m<3 making the answer 116.
i believe the answer is 116.2

help! i dont this math problem please due soon!

help! i dont this math problem please due soon!

Answers

Answer:

12x12 12x6 H = 46cm

Step-by-step explanation:

took quiz

Answer:

46 cm

Step-by-step explanation:

I learned this formula in math last year

Bob will spend at most $31 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Bob will spend.
Write your answer as an inequality solved for c.

Answers

To find the possible additional amounts Bob will spend, we need to consider that he has already spent $18 and the total amount he can spend is at most $31. Let's denote the additional amount he will spend as "c" (in dollars).

We can express the inequality as follows:

c ≤ $31 - $18

Simplifying the right side:

c ≤ $13

Therefore, the possible additional amounts Bob will spend, represented by "c," are less than or equal to $13. The inequality is c ≤ $13.
C < $13
I put this answer in because I didn’t want y’all wasting your daily answers

solve it asap.........

solve it asap.........

Answers

Answer:

it is D

Step-by-step explanation:

i am not sure if this is right

Answer:

Option D, The center of the data is shown by it's median and mode. The median is 3 and the mode is 2 and 3

Step-by-step explanation:

The data set is: 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 6

Calculating the median would result in 3

Calculating the mode would result in 2 and 3

Hope this helps!

Part A Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.


Part B
Complete the sequence of transformations you found in part A, but in a different order. Does this also map shape I onto shape II? What does this mean?


Question 2 Part A
If you reflect any shape across the x-axis and then rotate it 90° clockwise about the origin, do you get the same result as if you reflect it across the y-axis and then rotate it 90° counterclockwise about the origin? What does this mean?


Part B
If you reflect any shape across the x-axis and then rotate it 180° about the origin, do you get the same result that you would if you reflect it across the y-axis and then rotate it 180° about the origin? What does that mean?


Part C
If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?

Part A Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of

Answers

Part C is the answer

mark me brainliest pls

A it means you flipped the x axis and b it means shahs snsjsisisnsndksnss

What is the value of (3.1)2 ?
A) 6.2
B) 9.61
C) 0.961
D) 9.1

Answers

Answer:

A

Step-by-step explanation:

(3.1)2 is the same thing as 3.1x2. So all you have to do is double 3.1 which is 6.2.

The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h

Answers

Answer:

It is A and d

Step-by-step explanation:

The equivalent equations are \(2a = (b_1 + b_2) \times h\) and \(\frac{2a}{h} = b_1 + b_2\)

What are equivalent equations?

Equivalent equations are equations that have equal values

The equation is given as:

\(a = \frac{1}{2} (b_1 + b_2) \times h\)

Multiply both sides by 2

\(2a = (b_1 + b_2) \times h\)

Divide both sides by h

\(\frac{2a}{h} = (b_1 + b_2)\)

Remove the bracket

\(\frac{2a}{h} = b_1 + b_2\)

Hence, the equivalent equations are \(2a = (b_1 + b_2) \times h\) and \(\frac{2a}{h} = b_1 + b_2\)

Read more about equivalent equations at:

https://brainly.com/question/2972832

PLEASE HELP IVE BEEN TAKING THIS MATH TEST FOR 5 HOURS
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.

Answers

Its ok to get one question wrong ‍♀️
let x=the time in hours


y = 420x is the function rule to represent the total calories burned over time.

whats the answer for this question

whats the answer for this question

Answers

I believe d is the answer
d is the answer not c ,a,d

You are drawing a map of your school and want to make sure all the measurements are accurate. You decide to use a scale of 1 cm = 3 feet. In your drawing, the main hallway ends up being 20 cm long.

The drawing is a little too big so you decide to change the scale to 1 cm = 4 feet.

Keeping the length in feet the same, how many centimeters long should the main hallway be in your new drawing?

Answers

Answer:

5

Step-by-step explanation:

ID.K if I am right, tell me

Hi my lovely people!
Today's question is math!
There are 2 screenshots below of my work!
(P.S its due today so yeah i will give brainlist too!)

Hi my lovely people!Today's question is math!There are 2 screenshots below of my work! (P.S its due today
Hi my lovely people!Today's question is math!There are 2 screenshots below of my work! (P.S its due today

Answers

Answer:

Part 1:

A - (4,9)

B - (6,3)

C - (1,3)

D - (8,7)

E - (8,9)

 To know where to put the dots on the graph, use the coordinates you've just been given:

Example: (4,8)

Move to the 4 on the x-axis (the line on the bottom going horizontal)

Then, move up 8 units (up to the 8 on the y-axis)

Place the point at that spot.

Part 2:

A - (1,2)

B - (2,4)

C - (3,6)

D - (4,8)

 Derek decorates 10 cookies in 5 minutes. We know he took 5 minutes to decorate 10 cookies because in the table, the x-axis is told to us that it represents the time it takes. Since the x coordinate is 5 in the point (5,10) and the y coordinate is 10, we can safely say that it took Derek 5 minutes to decorate 10 cookies.

Chromosomes line up at the metaphase plate, under tension from the mitotic spindle. The two sister chromatids of each chromosome are captured by microtubules from opposite spindle poles. In metaphase, the spindle has captured all the chromosomes and lined them up at the middle of the cell, ready to divide.

Answers

Answer:

In metaphase, the spindle has captured all the chromosomes and lined them up at the middle of the cell, ready to divide.

Step-by-step explanation:

I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.

Answers

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

young leonardo for sure

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to round them to the hundredths place. If the price of gas is $9.475, what will the price be when we round it to the hundredths place?

Answers

Answer:

$9.48

Step-by-step explanation:

9.48
Step by step explanation: if the number in the thousandths place is 5 or higher u round the number in the hundredths place up.



Find the area of the following parallelograms

Find the area of the following parallelograms

Answers

Answer:

Area of parallelogram: 1/2×h×sum of base lengths

Property of parallelogram: 2 parallel sides

Area = 1/2×4×(9+9)

        = 36 cm^2

what's the difference between a function and not a function

Answers

I hope it helps......:))

what's the difference between a function and not a function
something that isn’t a function has multiple outputs, something that is a function has 1 for each.

Solve the puzzle from the clues. Show your work.Clue

1: We are two whole numbers less than or equal to 12.

Clue 2: Our least common multiple is 36.

Clue 3: Our greatest common factor is 1.What two whole numbers are we?

Answers

Answer:

Step-by-step explanation:

From clue one we know the numbers can be these because they add up to 12.

0 and 12 0+12=12

1 and 11 1+11=12

2 and 10 2+10=12

3 and 9 3+9=12

4 and 8 4+8=12

5 and 7 5+7=12

or 6 and 6 6+6=12

From clue two, we know the least common multiple is 36 so:

LCM of 0 and 12 -> NOT 36

LCM of 1 and 11 -> 11

LCM of 2 and 10 -> 10

LCM of 3 and 9 -> 9

LCM of 4 and 8 -> 8

LCM of 5 and 7 -> 35

LCM of 6 and 6 -> 6

none have a least common multiple of 36.

Please show clue 3 and make sure clue 2 is correct before I can finish.

The number with GCF 1 can be (2 and 3), (3, 4) and (4, 9)

what is Least Common Multiple?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Given:

1: We are two whole numbers less than or equal to 12.

Numbers are: 1, 2, 3, 4, 5,, 6, 7, 8, 9, 10, 11, 12

Clue 2: Our least common multiple is 36.

Number which have multiple 36 are: 2, 3, 4, 6, 9 , 12

Clue 3: Our greatest common factor is 1.

so, the number with GCF 1 can be (2 and 3), (3, 4) and (4, 9)

Learn more about LCM here:

https://brainly.com/question/20739723

#SPJ5

Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.


PLEASE HELP ASAP!! WILL MARK BRAINLIEST!! Time (seconds) 4 8 12 16 20 24
Hot Chocolate Amount (fluid ounces) 5 7.5 9 11 13 16


Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?

Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the
Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the
Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the

Answers

Answer: Option D is the correct answer.

Step-by-step explanation:

I took the practice exam and got it right.

Answer:

Option D is the correct answer.

Step-by-step explanation:

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Which table represents the statement “Di runs at a rate of 4 meters per second”?
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 4, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 2, 4, 6.
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 8, 16, 32.
A 2-column table with 3 rows. Column 1 is labeled seconds with entries 1, 2, 3. Column 2 is labeled meters with entries 5, 10, 15.

Answers

I would go with C. like the other person

Answer:

c

i am doing on edg

Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Answers

The correct answer would be 200 miles. If 30 miles represented 3/5ths of an inch, then 72, 50, and 18 miles would all be too small.
For example 72 miles would only represent a little over an inch, so 200 miles would be the only possibility.
Here’s the work. Hope this helps
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Can anyone help out with this?

Can anyone help out with this?
Can anyone help out with this?

Answers

Answer:

Step-by-step explanation:

It is C) TK
This is because that line does not intersect or touch the line LR, so it is not transversal to it.

What is this plot/table/graph? And how do I read it?

What is this plot/table/graph? And how do I read it?

Answers

Step-by-step explanation:

A we measure across the x-axis. First so it is two and then we measure on the y-axis. Up three so

it is a plot i know because my math teacher taught me this yesterday.

This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31

Answers

The answer would be
C. 29
We know this by counting the amount of numbers given for the data set
I don’t know to be real
Other Questions
The Creamy Cow is a maker of gourmet ice cream. The company uses _____ to sell its products by using a variety of venues, including grocery stores, online, and mail order. What are the three types of inherent value money can have?A. Regulated, market, and face.B. Intrinsic, market, and commodity..C. Intrinsic, market, and face.D. Face, intrinsic, and commodity. DISCRETE-TIME SIGNAL (a) Suppose that a linear time-invariant system is described by impulse response h[n] = 2n 7 ns7 h[n] = 0 elsewhere Calculate the response of the system to the input signal x[n]=u[n+7]u[n - 5] + (u[n 5] -u[n 8)). (b) Validate your answer in part (a) and plot x[n], h[n] and y[n] by using MATLAB. Hint: (u[n] is the unit step function. Use the 'conv' function for computing the convolution of the given signals and use subplot () command to plot x[n], h[n] and y[n]. Find the first and second derivatives of f(x) 1-2x O f'(x) 2x-3 ex 5 - 2x f"(x) = O 3-2 f'(x) = 2x-5 F"(x) ex O f'(x) = 4xe* - 2e f"(x) = 4xe* + 2e O f'(x) = 2xe* - 3e* f'(x) = 2xe - ex D Complete the sentences with the simple past or past continuous form of the verb in parentheses. 4. My siblings were playing baseball while I (relax) In Scratch, what term refers to a message that gets passed along and causes an action to happen?broadcastmechanicaltriggervariability How many times has jorge masvidal been knocked out. how does active transport differ from all? Whats your opinion? On March 4, Micro Sales makes $13,500 in sales on bank credit cards which charge a 3% service charge and deposits the funds into Micro Sales' bank accounts at the end of the business day.Required:Journalize the sales and recognition of expense. Refer to the Chart of Accounts for exact wording of account titles. Round your answers to two decimal places. What does it mean to follow the Eightfold Path?traveling to India for a religious trip once in one's lifetimeliving based on the Buddha's teachings to gain enlightenmentfollowing the Buddha's rules to earn good karma and achieve reincarnationobeying a book of teachings from the Buddha with instructions for meditation The light we see from the sun comes from which layer?. Which American author viewed the Gilded Age as a time of "ridiculous excess"?ResponsesMark TwainMark TwainJoseph PulitzerJoseph PulitzerEmma LazarusEmma LazarusHarriet Beecher Stowe A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0. 15 oz, the production is stopped. What is the range of acceptable values for production to continue?. According to an article in the Wall Street Journal, in early 2017, President Donald Trump was considering whether to reverse a requirement by the Environmental Protection Agency that oil refiners increase the amount of ethanol they blend with gasoline. If the requirement were to remain, the result would be an increase in demand for ethanol, which is made from corn. Many U.S. farmers can use the same acreage to grow either corn or soybeans. Use a demand and supply graph to analyze the effect on the equilibrium price of soybeans resulting from an increase in the demand for corn. ( 5 points) Explain how you would graph: n -8 Aaron claims the same answer could also be found by adding either 5 + 3 or 3 + 5.What is the error in Aarons reasoning? The length of a rectangular shaped field is 3/4 mile.If the area of the field is 1/2 square mile, what is the width of the field? A cubic polynomial function f has a leading coefficient of 2 and a constant term of 5. When f(-1) = 2 and F(1) = 14, what is f(0.5)?f(0.5) = ?Explain your reasoning. SOMEBODY HELP I NEED THIS ASAP PLEASEEEE!!!!In the space below, write an explanatory essay of at least 500 words. Discuss how your chosen characters and their actions express and develop the two themes you've selected. Use details from the story and information about historical events to support your ideas