1. Write and simplify an expression that represents the length of the south side of the field 2. Write and simplify a polynomial expression that represents the perimeter of the pumpkin field. 3. What is on reason why the perimeter of the pumpkin field would be useful to Farmer Bob? 4. What is the perimeter of the potato field? 5. Write and simplify a polynomial expression that represents the area of the squash field. 6. What is one reason why the calculated area of the squash field would be useful to Farmer Bob? 7. Farmer Bob realized that the pumpkins and squash will use the same soil type. What is the area of the squash and pumpkin fields combined?
Answers
Answer:
The answer is below
Step-by-step explanation:
1) The length of the south side of the field = (5x + 2) + (x² - 9) + (x² - 7x +12) = x² + x² + 5x - 7x + 2 - 9 + 12 = 2x² - 2x + 5
2) The perimeter of pumpkin field = 2(length + breadth) = 2[(5x - 2) + (5x + 2)] = 2[5x + 5x - 2 + 2] = 2(10x)
The perimeter of pumpkin field = 20x
3) The perimeter of pumpkin field is useful in case Bob wants to fence the pumpkin field.
4) The perimeter of potato field = 2(length + breadth) = 2[(x + 6) + (x² - 7x + 12)] = 2[x² - 7x + x + 6 + 12] = 2(x² - 6x + 18)
The perimeter of potato field = 2x² - 12x + 36
5) Area of squash field = length * breadth = (4x) * (x)
Area of squash field = 4x²
6) The area of the squash field would be important if Bob want to determine the number of squash seeds that would be enough for the field.
7) Area of pumpkin field = length * breadth = (5x - 2) * (5x + 2) = 25x² + 10x - 10x - 4
Area of pumpkin field = 25x² - 4
Area of pumpkin field and squash field = 4x² + (25x² - 4) = 29x² - 4
Related Questions
I need some help please help it’s 100% of my grade
Answers
3x-6+4=-20
3x-2=-20
3x=-18
x=-6
Match the equations to the lines below :
y = 1/2x - 1
y= -1/2x + 1
y= 1/2x + 1
y= -2x - 1
y= 2x - 1
y= -1/2x - 1
Answers
2.) y = -1/2 + 1 is C
3.) y = 1/2x + 1 is E
4.) y = -2x - 1 is A
5.) y = 2x - 1 is B
6.) y = -1/2x - 1 is D
-4 < t + 2 < 4
How do you do this?
Answers
Answer:
t(-6,2)
Step-by-step explanation:
t(-6,2)
t+2>-4
t+2<4
t>-6
t+2<4
t>-6
t<2
A factory can make 120 backpacks in 3 hours.
How long would it take to make 600 backpacks?
15 h
20 h
30 h
40 h
Answers
120 is 3 hrs and 600 is 5 times more so it’ll take 15 hrs
!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?
Answers
Answer:
A
Step-by-step explanation:
I worked it out :)
Write an equation for the function whose graph is described.
The shape of f(x) = |x|, but shifted 19 units up and then reflected in the x-axis
Answers
Answer:
f(x)=-|x|+19
Step-by-step explanation:
so shifted 19 units up means
abosolute value of x + 19
and reflected in the x axis means that you have to put the - before the abosolute value.
so -|x|+19
I need help with this
Answers
Answer:
x = 104 degrees
Step-by-step explanation:
A line like this will always have a measure of 180 degrees, therefore when the two sides are combined, it must equal 180, which means you can set up an equation and x can be determined
72 + x + 4 = 180
76 + x = 180
-76 -76
x = 104 degrees
Hope this helps!
Explain answer !!
( WILL GIVE BRAINLEST)
Answers
Answer: B. 8
Step-by-step explanation: 3*2=6. What you have to do to the top you have to do to the bottom. So, 4*2=8
the amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Part b: what is the shape of the sampling distribution of x hat justify your answer.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143? show your work.
Answers
Answer:
a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.
b) By the Central Limit Theorem, approximately normal.
c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean monthly fee is $142 and the standard deviation is $29.
This means that [tex]\mu = 142, \sigma = 29[/tex]
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Sample of 1500(larger than 30).
By the Central Limit Theorem
The mean is $142
The standard deviation is [tex]s = \frac{29}{\sqrt{1500}} = 0.7488[/tex]
Part b: what is the shape of the sampling distribution of x hat justify your answer.
By the Central Limit Theorem, approximately normal.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?
This is 1 subtracted by the pvalue of Z when X = 143. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{143 - 142}{0.7488}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a pvalue of 0.9099
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Noah wrote that 6+6 =12. Then he wrote that
6+6 -n =12 - n. Are his equations balanced? Explain.
Answers
Answer:
Hs equations are balancedStep-by-step explanation:
To check whether both equations are balanced, we will simplify
6+6 -n =12 - n
Add n to both sides of the equation using additive property
6+6-n+n = 12-n+n
6+6 +0 = 12+0
6+6 = 12 (This gives the other equation)
Since they are both equal, this shows that the equations are balanced
Haley's anole lizard has a tail that is 7.25 centimeters long. Caleb's anole lizard has a tail that is 6.17 centimeters long. An anole lizard's tail is half the length of the lizard. How much longer is Haley's lizard than Caleb's lizard? Show your work.
Answers
Answer: 2.16 centimeters
Step-by-step explanation: You would multiply the tail lengths by two, since the tail length is half of the lizards body.
7.25 x 2 = 14.5 and 6.17 x 2 = 12.34
Then you would subtract Haley's lizard's length from Caleb's lizard's length. 14.5 - 12.34 = 2.16
Good luck! :D
Haley's lizard is 2.16 centimeters longer than Caleb's lizard
What is the fundamental principle of multiplication?
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We would multiply the tail lengths by two, since the tail length is half of the lizards body.
Thus,
7.25 x 2 = 14.5
6.17 x 2 = 12.34
Then we would subtract Haley's lizard's length from Caleb's lizard's length.
14.5 - 12.34 = 2.16
Therefore, Haley's lizard is 2.16 centimeters longer than Caleb's lizard
Learn more about multiplications;
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I need help with this I will mark you if it’s not wrong
Answers
Answer:
C
Step-by-step explanation:
May I please have brainliest
Answer:
The answer is C
Step-by-step explanation:
I subtracted 29 from 180, and then i added 5 since it is subtracting
A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four years. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?
Answers
Answer: c is the answer . 176, 4.60
Step-by-step explanation:
just trust me bro
Question 2 (1 point)
(07.01)
Solve 3x−5 = 9. (1 point)
a
x = −3
b
x = 2
c
x = 7
d
x = 8
Answers
Answer:
All options are wrong.................
What is the scale factor of this dilation?
A:2/3
B:1 1/2
C:3
D:5
Please hurry it’s timed
Answers
Answer:
1 1/2
B
Step-by-step explanation:
PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!
Answers
Answer:
the amplitude is 5
the period is 4 pi
Step-by-step explanation:
why every comment but don't
Answers
Answer:
thanks
Step-by-step explanation:
the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?
Answers
The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of 5 in the given numbers can be written as,
The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.Now, we can write the value of the two numbers as,
5 = 0.5 × x
x = 5/0.5
x = 10
Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
Learn more about the Place Value here:
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What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?
Answers
Answer:
1/25, 1/5, 1
Step-by-step explanation:
Answer:
A on edgeinuity
Step-by-step explanation:
IMAGINE GETTING A DIPLOMA IN THREE DAYS!!!
Jessica is selling books during the summer to earn money for college. She
earns a commission on
each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(X) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors.
B. She will lose $10 per week if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will
lose $30.
D. Her expenses are $30 per week.
Answers
pls solve for x, will give brainliest to whoever
Answers
Answer:
60 degrees
Step-by-step explanation:
all angles of an equilateral triangle are 60 degrees
Answer:
x=60
Step-by-step explanation:
We know that since all sides are the same, all angles are the same.
x=angle
(180) is the amount of degrees when you add up all of the angles in the triangle
3x=180
x=60
Ay anyone willing to help me with my work kinda lost
Answers
Okaayyy
Set B has the greater mode
For each expression, use a property to write an equivalent expression. Tell which property you used.
1. (ab)c =
2. 3y + 4y =
3. 6 x 7 =
Answers
Answer:
1. is the answer
Step-by-step explanation:
Because i did the test
Jamil makes a drink by mixing
1 part of orange squash with 9 parts of water.
He uses 750 millilitres of orange squash.
Jamil is going to put the drink he has mixed into 1 litre bottles.
Work out the greatest number of 1 litre bottles that Jamil can completely fill.
Answers
Answer:
7 bottles
Step-by-step explanation:
first, calculate the volume of the total ammount of soloution
750ml + 9(750ml)=7500ml
then divide by 1000 to put the total into litres
7500/1000=7.5L
7.5L goes into 1L exactly 7 times with a remainder of 500ml as the bottles are required to be completely full
The absolute value of -15 is -15 because -15 is 15 units to the left of zero
Answers
Answer: False
Step-by-step explanation: The absolute value of -15 is 15.
Question is in the Picutre attached.
Answers
Find two consecutive numbers whose sum is 55
Answers
Answer:
27 and 28
Step-by-step explanation:
Answer and Step-by-step explanation:
27 and 28.
27 plus 28 equals 55.
To know which numbers to use, we have to find two numbers that would produce a number that would include the digit of the second number in 55. Then, we find numbers that add up to 5, then minus by 1.
#teamtrees #WAP (Water And Plant)
Jonas has 3 more than two times the number of video games that Amber has. Amber has 12 games. How many does Jonas have? To solve this problem using algebra, which of the following is one step that you will take?
Answers
Answer:
36
Step-by-step explanation:
So Jonas has ? number of games.
Multiply 12 by 3.
You get thirty-six.
So Jonas has thirty-six games.
One step you take is multiplying 12 by 3.
I hope this helps! :)
(20,-6)(6,5) find the slope
Answers
ΔY
ΔX
=
5
4
= 1.25
θ =
arctan( ΔY )
ΔX
= 51.34019174591°
ΔX = 6 – -6 = 12
ΔY = 20 – 5 = 15
Distance (d) = √ΔX2 + ΔY2 = √369
= 19.209372712299
Equation of the line:
y = 1.25x + 12.5
or
y =
5 x
4
+ 25
2
When x=0, y = 12.5
When y=0, x = -10
11 b = 5, what is a
B. 25
C, 75
D. 125
Answers
Answer:
2.2
Step-by-step explanation: