A wheat farmer plows 5 acres of land and collects 135 bushels of wheat. The next day, the farmer plows 8 acres of land and collects 216 bushels of wheat.

Is there a proportional relationship between the number of bushels of wheat collected and the number of acres plowed over the two days? Explain.

Yes, it is proportional because the farmer collected 7 bushels for every 1 acre plowed.
Yes, it is proportional because the farmer collected 27 bushels for every 1 acre plowed.
No, it is not proportional because both variables cannot be zero at the same time.
No, it is not proportional because all ratios between the number of bushels collected and the number of acres plowed are not equivalent.

Answers

Answer 1

Answer:

Your answer would be the second one:)

Step-by-step explanation:

Answer 2

Yes, it is proportional because the farmer collected 27 bushels for every 1 acre plowed. Option B is correct.

As mentioned in the question, a wheat farmer plows 5 acres of land and collects 135 bushels of wheat. The next day, the farmer plows 8 acres of land and collects 216 bushels of wheat.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of land plows be x, and the number of bushels collected be y.

According to the question,
If the relationship between the plows  and bushels is proportional then the ratio of bushels to plows  or vice versa should be constant,
So,
y/x= k
or,
x₁/x₂ = y₁/y₂

Now,
5/8 = 135/216
5/8 = 5/8

And the value of the constant of proportionality is given as,
k = y/x
k =135/5
k = 27 bushels for every 1 acre plowed.

Thus, Yes, it is proportional because the farmer collected 27 bushels for every 1 acre plowed. Option B is correct.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2


Related Questions

Pls, answer the 3 questions below. All pics with questions are attached below. thx so much if you do!

Answers

Answer y= 1/2x + 1  1/2    

sry for not write it well its b

According to the 2010 census data, the population of Texas was about 25,000,000 people. The land area of Texas is about 260,000 m^2. What was the average number of people per square mile in 2010?

Answers

Answer:249037470.178  peoples per mi^2

It should be close to 1,000

lucy, a caricaturist drew 28 sketches of kids at a birthday event in a total of 224 minutes. find the time spent to sketch 1 caricature
Find the unit rate

Answers

Answer:

8 minutes

Step-by-step explanation:

when you divided 28/224 you get 8 minutes

Answer:

480s per sketch

Step-by-step explanation:

change the minutes to seconds

224×60=13440s

to find unit rate

28sketches=13440s

1sketch=?

13440÷28=480s per sketch

URGENCY HELP PLEASE:
Convert 310 to base 8.

Answers

Answer:

[tex]\Huge \boxed {\bf{466_8} }[/tex]

Step-by-step explanation:

To convert the decimal number 310 to base 8, we can use the following steps:

Step 1: Divide the decimal number by the base (8) and obtain the quotient and remainder.

Step 2: Write down the remainder.

Step 3: Repeat the process with the quotient obtained in the previous step until the quotient is zero.

Step 4: Write down the remainders in reverse order.

Let's perform these steps for the decimal number 310:

310 ÷ 8 = 38 (remainder 6)38 ÷ 8 = 4 (remainder 6)4 ÷ 8 = 0 (remainder 4)

Now, write down the remainders in reverse order: 466.

So, the decimal number 310 converted to base 8 is [tex]466_8[/tex].

________________________________________________________

Determine if the graph shows a proportional relationship.
Yes, it is proportional because the line intersects with the origin.
Yes, it is proportional because the axes are numbered correctly.
No, it is not proportional because the line does not intersect with the origin.
No, it is not proportional because the points do not make a straight line.

Answers

Answer:

option 1

Step-by-step explanation:

If a relationship is proportional it will cross the origin (0,0) and it will be a straight line.

By looking at the graph, we can identify that this is a straight line.

And there is a point over the origin (0,0)

So we can say that this graph is proportional because the line intersects with the origin.

(the axis being numbered correctly does not identify whether a relationship is proportional so we rule out the second answer)

Yea it is proportional because the line intersects with the origin

15 = e
----
0.5

please help i need answer

Answers

Answer:

e=7.5

Step-by-step explanation:

15=e/0.5

We simplify the equation to the form, which is simple to understand

15=e/0.5

We move all terms containing e to the left and all other terms to the right.

-2e=-15

We simplify left and right side of the equation.

-2e=-15

We divide both sides of the equation by -02 to get e.

e=7.5

Answer:

Step-by-step explanation:

7.5

I need answer by today, please. And Thanks!

Answers

Answer:

i would say J or I. I can't see which letter it is lol

Step-by-step explanation:

because it looks like D and R are in the same position so why would D be bigger.

Answer:

I think J

Step-by-step explanation:

Solve pleaseeeeeeeeee

Answers

Answer:

Number 1 is 4.1

Number 2 is -6

Number 3 is 7

1. 7b-9+3b=32
7b+3b= 41
10b=41
b=4.1

2 . -4(c — 5) =44
-4c +20 = 44
-4c = 24
c = -7

3. 75 = 5 (x + 8)
75= 5x + 40
35 = 5x
7 = x

If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?

A. 3.11 cups
B. 3.58 cups
C. 0.87 cups
D. 4.11 cups

Answers

Answer:

A. 3.11 cups

Step-by-step explanation:

If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?

87% = 0.87

0.87 * 3.58 = 3.1146

A. 3.11 cups

B. 3.58 cups

C. 0.87 cups

D. 4.11 cups

Write the statement "the sum of a number and 17.3 is at least −2.8" as an inequality.


I need this asap

Answers

Answer:  17.3

Step-by-step explanation:

The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is option B

We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided

Let the number be b

so, the sum of two numbers would be

b + 17.3

It is given that the sum should be at least - 2.8

this means the sum is either equal to - 2.8 or sum is more than -2.8

So, the linear inequality equation comes to be

b + 17.3 ≥ - 2.8

Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8

Answer:

Step-by-step explanation: The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is b + 17.3 ≥ −2.8

We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided

Let the number be b

so, the sum of two numbers would be

b + 17.3

It is given that the sum should be at least - 2.8

this means the sum is either equal to - 2.8 or sum is more than -2.8

So, the linear inequality equation comes to be

b + 17.3 ≥ - 2.8

Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is b + 17.3 ≥ −2.8.

Blake was a little concerned as he stood in the middle of the overcrowded elevator. The sign clearly stated that the total weight in the elevator could not exceed 2,000 pounds.

Write an inequality to show the weight limit for the elevator.

A) w > 2,000
B) w < 2,000
C) w ≤ 2,000
D) w ≥ 2,000

Answers

Answer: C) w ≤ 2,000

Step-by-step explanation:

We know for a fact that it is not A or D, because this means that the elevator WOULD be able to handle weight more than or equal to 2,000 lbs.

This leaves us A and C.

The question states that the weight could not exceed 2,000 pounds, meaning that ≤ will be used. This gives us w ≤ 2,000. The total weight in the elevator has to be less than or equal to 2,000 pounds.

The answer is C) w is greater than and or equal to W

pls help me this is worth half of my grade

Answers

Answer: y = 5184x

Step-by-step explanation:

Yes, there is a relationship because, logically, there should be a set amount of pixels changing when the area changes. This data table shows a linear relationship between the square inches of the screen and the number of pixels. To create a linear equation, we need to know the parent function for linear equations: y=mx + b, where "m = rate of change" and "b = initial value or y-intercept"

To find the rate of change (i.e., the slope). To find the rate of change of a linear function, use the formula (y2-y1)/(x2-x1). This formula works because it's essentially using the "rise/run" method of finding the rate of change.

Using the rate of change formula:

(373248-31104) / (72-6) = 5184

We know the rate of change is 5184, and now we simply have to find the "b" value, which is the y-intercept. We do this by plugging in values we know into the y=mx + b equation.

m = 5184, and we can use any set of points in the table for "x" and "y"

31104 = 5184(6) + b

Now, we isolate "b":

31104 - 5184(6) = b

0 = b

The y-intercept ("b" value) is zero, so we can now plug that into our equation:

y = 5184x + 0

y = 5184x

5184 is answer shelf f t d d d d fnf. Ty g g g did fix d

NEED ASWERS ASAP!!!!

Answers

Answer:

45.5.74576

Step-by-step explanation:

45.5.74576 is the answer

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

-2 and -3

Step-by-step explanation:

This is cube root so would say between -2 and -3

-2*-2*-2=-8

-3*-3*-3=-27

And it is definitely in between this

Hopes this helps please mark brainliest

How much interest is earned on $2,566.45 at 0.4% for three years?

3.80
300.80
30.80
None of the above

Answers

Answer:

$ 30.80

Step-by-step explanation:

SIMPLE interest =

  2566.45 * .004 * 3 = 30.80

30.80 is the correct answer

NEED ANSWRS ASAP!!!!!

Answers

Answer: 90 degrees

Step-by-step explanation: If all the lines are right angles, then they're 90 degrees exact

5a. PQ=3a+a
5b. ST=3a+2
5c. PQRSTU=23a+7
6a. 30w+45=T
6b. 30(3.5)+45=150

Apply proportions to interpret scale drawings and solve problems based on scale ratios

Answers

Answer:What is this i dont see any picture or question is the question at another thingy?

Step-by-step explanation:

Anjum sold her computer for 15300 at a loss of 25%. How much did she purchase the computer for?

Answers

Answer is Rs. 20,400

Answer:

3825

Step-by-step explanation:

Multiply 25/100 with 15300 = (25/100)*15300 = (25*15300)/100 = 3825. ;)

Write the equation of the linear relationship in slope-intercept form, using decimals as needed.


x 0 100 200 300
y 1.5 96.5 191.5 286.5


Enter the equation of the relationship.

Answers

Answer:

y = -0.3x + 105

Step-by-step explanation:

x1 - x2 / y1 - y2 is the method to use to find the answer, so it

= (94.5-97.5) / (35-25) which

= (-3) / (10) which = -0.3.

That is m for ya, and for b,

Sub the first point (25, 97.5) into the equation of this line:

97.5 = (-0.3)*(25) + b => b = 97.5 - (-7.5) = 105

In conclusion, the equation is y = -0.3x + 105.

Answer:
y =-0.3x + 105
Step-by-step explanation:
x1-x2/y1- y2 is the method to use to find the answer, so it
= (94.5-97.5) / (35-25) which
= (-3) / (10) which =-0.3.
That is m for ya, and for b,
Sub the first point (25, 97.5) into the equation of this line:
97.5 = (-0.3)*(25) + b => b = 97.5 - (-7.5) = 105
In conclusion, the equation is y =-0.3x + 105

2. A child must weigh no more than 34.5 pounds to ride in a particular car seat.

A. A child weighs 36.269 pounds. By how many pounds does the child exceed the weigh limit?

B.A child weighs 31.833 pounds. How many pounds can the child gain before needing a new car seat?

I NEED THE ANSWER ASAP

Answers

Answer:A = 1.769

B=2.667

Step-by-step explanation:

A=

36.269-34.5

=ANS

B=31.833-34.5

=ANS

A. 1.769
B. 2.667

a. You have to subtract 34.5 from 36.369

b. You have to subtract 31.833 from 34.5

HELPPPPP PLS IF YOU CAN ANWSER THISSS................ GENIUS

Answers

Answer:

1. [tex]x^{2} +7x+2[/tex]

2.[tex]18x +3[/tex]

3.[tex]3x^{2} +3x+8[/tex]

4.[tex]4x+6[/tex]

Step-by-step explanation:

combine like terms

Iago took out a loan for $1240 with an 8% interest rate. If the length of the lloan is 2 years what will he pay back at the end of 2 years

Answers

$1,345.97 as a total payment and 105.97 for the interest paid

Answer:

$1,438.40

Step-by-step explanation:

$1,240 × (0.08 × 2) = $1,438.40

Brainliest, please!

Wyatt had to climb the stairs to ride the waterslide. The top of the waterslide was more than 56 feet from the ground. Which graph represents this inequality?

A) number line with open circle on the number 56 and line shaded to the left
B) number line with closed circle on the number 56 and line shaded to the left
C)number line with an open circle on the number 56 and line shaded to the right
D)number line with a closed circle on the number 56 and line shaded to the right

Answers

Answer:

B) number line with closed circle on the number 56 and a line shaded to the left.

Step-by-step explanation:

:D Hope this helps!

WHOEVER GETS THIS RIGHT GETS 95 POINTS
Determine which integer will make the inequality x − 4 < 16 true.

A) S:{16}
B) S:{20}
C) S:{21}
D) S:{32}

Answers

Answer:

c

Step-by-step explanation:

The answer is C) s:{21}

Write the equation of the linear relationship in slope-intercept form, using decimals as needed.


x 25 35 45 55
y 90 84 78 72


The equation that represents this relationship is y =

Answers

The linear relationship between the numbers is X=+10 Y=-6

Answer:

X=+10 Y=-6

Step-by-step explanation:

thats the answer good luck

Divide: 3/8 divided by 5/12 ASAP NEED HELP ASAP

Answers

Answer:

5/32 or 0.156

Step-by-step explanation:

I looked on a calculator

The answer to the problem is 0.9 or 9/10.

As it is given 3/8 divided by 5/12 it should be like this:

⇒ 3/8÷5/12

⇒ 3/8×12/5

⇒ 3/2×3/5

⇒ 9/10

0.9

As dividing 3/8 by 5/12 will simply be reciprocal 5/12 to 12/5 and after that, it is a simple multiplication step.

how many paper cups are left at the end of the week

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4•|-2-1| anyone please please

Answers

Answer:

12

Step-by-step explanation:

4 ( |−2−1| )

=4 ( |−3| )

= ( 4 ) ( 3 )

= 12

Hope this helps! :)

Answer:12

Step-by-step explanation: 4 times (-2) is -12 to the absolute is positive 12 or just 12

A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder? please draw a picture and show all ur work thank u

Answers

10^2 plus 3^2 is C^2 or the height of the ladder so the answer is around 10.44

can someone pleas help me with my math I really need to pass I'm really stressed will give brainlest to whoever helps and gives right answer

Answers

-1/5(43.4n+34) That should be correct
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