A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?

Answers

Answer 1

Answer:

2.30 :) hope this helps!!!!!!! :)

Step-by-step explanation:

w = wheat     c = corn    r = rye

6w + 3c + 6r = 45.90

3w + 6c + 6r = 49.20

6w + 6c + 3r = 41.40

since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:

if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r

-6w -  3c -  6r = - 45.90

3w + 6c + 6r =   49.20

------------------------------------

- 3w +3c  =      3.30    or     w - c = - 1.10

If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the  r  again:

-12w - 12c -  6r = - 82.80

  6w + 3c + 6r =    45.90

------------------------------------------

- 6w - 9c         =  - 36.90   or       2w + 3c  =   12.30

now we have 2 equations and 2 variables that we can solve by substitution:

w = c - 1.10

2(c - 1.10)  + 3c = 12.30

2c - 2.20 + 3c   =   12.30

5c = 14.50

c = 2.90      

w = c - 1.10   or  1.80

3r = 41.40 - 6(1.80) - 6(2.90)

3r = 13.20    r = 4.40

I will pick the 2nd equation to check my answers :)!

3(1.80) +  6(2.90)  + 6(4.40)  = 49.20

5.40 + 17.40 + 26.40 =  49.20

Answer 2

As per linear equation, the price per bushel for corn is $22.8.

What is a linear equation?

A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.

Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.

To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.

To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.

Let, per piece of wheat is of $x.

Per piece of corn is of $y.

Per piece of rye is of $z.

Therefore, 5x + 2y + 3z = 228 ....(1)

2x + 3y + 5z = 228 .........................(2)

3x + 5y +2z = 228 ..........................(3)

Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:

2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)

⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)

⇒ (- 11y - 19z) = - 684

⇒ 11y + 19z = 684 ......(4)

Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:

3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)

⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228

⇒ - y + 11z = 228 .......(5)

Now, multiplying equation(5) by '11' and then add with equation (4), we get:

 11y + 19z + 11(- y + 11z) = 684 + 11(228)

⇒ 140z = 3192

⇒ z = 22.8

Putting the value of 'z' in equation (5) we get:

- y + 11(22.8) = 228

⇒ y = 22.8

Now, putting the values of 'y' and 'z' in equation (1), we get:

5x + 2(22.8) + 3(22.8) = 228

⇒ 5x = 114

⇒ x = 22.8

Learn more about linear equation here: https://brainly.com/question/22990272

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Related Questions

Simplify:
12(5 + 5)2 - 17 +3

Answers

Answer:

My first answer: 5 + 5 = 10 x 12 = 120 x 2 = 240 - 17 = 223 + 3 = 226

If not then,

12 x 5 + 12 x 5 = 120 x 2 = 240, 17 + 3 = 20, 240 - 20 = 220

Step-by-step explanation:

Numbers in parenthesis are evaluated first.

Answer:

1186  --- Sorry if I'm wrong -_-

Step-by-step explanation:

Add: 5 + 5 = 10

Exponentiation: the result of step No. 1 ^ 2 = 10 ^ 2 = 100

Multiple: 12 * the result of step No. 2 = 12 * 100 = 1200

Subtract: the result of step No. 3 - 17 = 1200 - 17 = 1183

Add: the result of step No. 4 + 3 = 1183 + 3 = 1186

Sorry, Here watch this
|l
|l \
|l (( \
|l / |
|l

Answers

b
u wanna make yards into feet.
1 yard = 3 feet
since there is 14
14x3 = 42 feet
and since there is still 2 feet
u add them 42+2
44 feet (b)

Answer:

44

Step-by-step explanation:

In ALJK, k = 480 cm, j = 420 cm and LJ=43°. Find all possible values of ZK, to the

nearest 10th of a degree.

Answers

Answer:

[tex]K \approx 51.2^\circ[/tex]

[tex]K \approx 128.8^\circ[/tex]

Step-by-step explanation:

Given

[tex]k = 480[/tex]

[tex]j = 420[/tex]

[tex]\angle J = 43^\circ[/tex]

Required

Find the measure of K

The value of K ranges from: [tex]0^\circ \le K \le 180^\circ[/tex]

To do this, we apply sine rule;

[tex]\frac{j}{\sin J} = \frac{k}{\sin K}[/tex]

So, we have:

[tex]\frac{420}{\sin 43} = \frac{480}{\sin K}[/tex]

Cross multiply

[tex]\sin K * 420 = \sin 43 * 480[/tex]

Make sin K the subject

[tex]\sin K= \frac{\sin 43 * 480}{420}[/tex]

[tex]\sin K= \frac{0.6820 * 480}{420}[/tex]

[tex]\sin K= 0.7794[/tex]

Take arc sin of both sides

[tex]K = sin^{-1}(0.7794)[/tex]

[tex]K \approx 51.2^\circ[/tex]

Recall that: [tex]0^\circ \le K \le 180^\circ[/tex]

The other possible value of K is:

[tex]K \approx 180 - 51.2[/tex]

[tex]K \approx 128.8^\circ[/tex]

How much work is needed to move a 40 pound box a distance of 2 feet?
????-foot pounds

Answers

Answer:

80-foot pounds

Step-by-step explanation:

As per the given data, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.

What is work done?

In physics, work is defined as the product of force and displacement, where force is the applied force and displacement is the distance moved by the object in the direction of the applied force.

To calculate the work needed to move a 40 pound box a distance of 2 feet, we need to use the formula:

Work = Force x Distance x Cos(theta)

where Force is the amount of force applied to move the box, Distance is the distance moved, and Cos(theta) is the cosine of the angle between the force vector and the direction of motion.

Assuming that the force is applied in the same direction as the motion, the angle between the force vector and the direction of motion is 0, and thus Cos(0) = 1. Therefore, the formula simplifies to:

Work = Force x Distance

We are given that the box has a weight of 40 pounds. Since weight is a type of force, we can use the formula:

Force = Mass x Acceleration due to gravity

where Mass is the mass of the box and Acceleration due to gravity is the gravitational acceleration constant, which is approximately 32.2 feet per second squared.

Converting the weight of the box from pounds to slugs (the unit of mass in the English system of units) gives:

Mass = Weight / Acceleration due to gravity = 40 pounds / 32.2 feet per second squared = 1.24 slugs

Therefore, the force required to move the box is:

Force = Mass x Acceleration due to gravity = 1.24 slugs x 32.2 feet per second squared = 39.93 pounds-force

Finally, we can calculate the work needed to move the box a distance of 2 feet as:

Work = Force x Distance = 39.93 pounds-force x 2 feet = 79.86 foot-pounds

Therefore, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.

For more details regarding work done, visit:

https://brainly.com/question/13662169

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FOR BRAINLIST!!
While building the White House model for the
iconic movie Independence day the movie makers
had to use a scale drawing in which the height of
the scale was 2 feet and the actual height of the
White house was 70 feet. If the actual length of the
white house is 168 feet, what is the length of the
scale model in feet?
А.
4.8 ft
B.
1.2 ft
5 ft
58.8 ft

Answers

Answer:

4.8

Step-by-step explanation:

Since the scale is 2 feet and the real is 70 to find the cale factor you do 70/2. Since the answer to that is 35 the scale factor is 35. SO to find tha drawing scale factor in feet you do 168/35 to get 4.8,

A random sample of 436 mothers in the United States found that their average age at first birth was 25.9 with a standard deviation of 4.5. A random sample of 364 mothers in France found that their average age at first birth was 28.6 with a standard deviation of 9.5. We will be testing if the mothers give birth to their first birth in the United States are at younger ages than those in France.

Required:
Calculate the degrees of freedom for this hypothesis test.

Answers

Answer:

Degree of freedom = 798

Step-by-step explanation:

Given that,

First random sample, n₁ = 436

Second random sample, n₂ = 364

So,

Degree of freedom = n₁ + n₂ - 2

                                = 436 + 364 - 2

                                = 798

⇒Degree of freedom = 798

On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.

Answers

Answer:

Step-by-step explanation:

On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.

(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)

lower limit

upper limit

(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.

Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)

Answers

9514 1404 393

Answer:

BA, ED

Step-by-step explanation:

Yes, it is very important. The idea here is that the decimal point in division problems like these can be moved the same number of places in the same direction in each number without changing the result.

__

1. Without a calculator, this is about 8/5, which you know to be more than 1 and less than 4. The only suitable answer choice is the correct one:

  B  1.645 ft.

__

2. Moving the decimal point 1 place to the left in both numbers, we have ...

  (892×10) ÷ (8×10) = 8290 ÷ 80 . . . . matches A

Moving the decimal point 3 places to the left in both numbers, we have ...

  (892×0.001) ÷ (8×0.001) = 0.892 ÷ 0.008 . . . . matches E

The other choices did something other than move the decimal point the same number of places. (Your calculator can verify this.)

__

3. Moving the decimal point 3 places to the right, we have ...

  (4367×1000) ÷ (0.004×1000) = 4,367,000 ÷ 4 ≈ 1,000,000

_____

Additional comment

For numbers like the ones in problem 3 that differ substantially in magnitude, it can work well to adjust the decimal points in both numbers so the divisor is between 1 and 10. This lets you easily estimate the position of the decimal point in the quotient.

Of course, if you're doing long division by hand, you always adjust the decimal points so the divisor is an integer (possibly with no trailing zeros).

Create a table of values that could represent the function f(x) = 3x + 4. Justify your response.

Answers

F(x)=3/2 x2-4+C

I looked it up

Evaluate the math problem​

Answers

Answer:

b. 25

Step-by-step explanation:

The square root cancels out

and you divide only 100 and 4

Answer:

5 or 25

Step-by-step explanation:

I first got the 25 but when I tried a different formula to make sure it's correct I got 5.

Find the 4th term in the sequence
with the following definition:
a1 = 0
an = 2(an-1 -3)

Answers

Answer:

-42

Step-by-step explanation:

[tex]a_{1}=0\\a_{n}=2(a_{n-1}-3)\\a_{2}=2(a_{1}-3)=2(0-3)=-6\\a_{3}=2(a_{2}-3)=2(-6-3)=-18\\a_{4}=2(a_{3}-3)=2(-18-3)=-42[/tex]

HeLp PlEaSe ThAnKs! THIS IS A GRADE (SHOW WORK)

Answers

Answer:

1) 5400

2) 113.04

Step-by-step explanation:

40 x 135 = 5400

3.14 x 6² = 113.04

Answer:

A.

area of rectangle=l×b=135×40=5400ft²

B.

diameter=36ft

area =1/4×π×d²=1/4×π×36²=324π 0r 1017.87ff²

Plz help me in math problem Its easy I just want to know how to solve this equation.

Answers

180=3x-17+x+40+2x-5
180=6x+40-17-5
198=6x
x33

Part B if the height of each prism is 10 Cm what is the surface area prism

Answers

Answer:

Prism A:

[tex]Area = 288cm^2[/tex]

Prism B:

[tex]Area =250cm^2[/tex]

Step-by-step explanation:

Given

See attachment for prisms

[tex]Height(h) = 10cm[/tex]

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

[tex]Area = 2 * A_b + (a + b + c) * h[/tex]

Where

[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]

and

[tex]s = \frac{a + b + c}{2}[/tex]

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

[tex]a = 8; b =6; c =10[/tex]

So, we have:

[tex]s = \frac{a + b + c}{2}[/tex]

[tex]s = \frac{8 + 6 + 10}{2}[/tex]

[tex]s = \frac{24}{2}[/tex]

[tex]s = 12[/tex]

Also:

[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]

[tex]A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}[/tex]

[tex]A_b = \sqrt{576}[/tex]

[tex]A_b = 24[/tex]

So:

[tex]Area = 2 * A_b + (a + b + c) * h[/tex]

[tex]Area = 2 * 24 + (8 + 6 + 10) * 10[/tex]

[tex]Area = 288cm^2[/tex]

Prism B is a rectangular prism. So, the area is calculated as:

[tex]Area = 2 * (ab + bh + ah)[/tex]

From the attachment

[tex]a = b = 5[/tex]

[tex]h =10[/tex]

So:

[tex]Area =2 * (5 * 5 + 5 * 10 + 5 * 10)[/tex]

[tex]Area =250cm^2[/tex]

a car travels 60km in 36minutes.At the same average speed, how far will it travel in 1 hour 12 minutes​

Answers

Answer:

120km

Step-by-step explanation:

1hr 12 min is double 36 minutes

so just double 60

Question 4:
QA: once is the depth of each diver for three minutes from now
QB: in how many minutes will the assistant be 33.3 m below the surface
QC: according to the algebraic model, in how many minutes will the divers be at the same depth

Answers

Answer:

a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.

b. 10 minutes

c. 6 minutes

Step-by-step explanation:

Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.

Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.

a.

J(x)=-13.9-7.5x

J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4

a(x)=-97.3=+6.4x

a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1

b.

a(x)=-97.3=+6.4x

-33.3=-97.3=+6.4x

64=6.4x

x=10

c.

when divers are at the same depth, J(x)=a(x)

J(x)=a(x)

-13.9-7.5x=-97.3=+6.4x

83.4=13.9x

x=6

Helene paid back $100 in the Month 1 of her loan. In each month after
that, Helene paid back $50. The graph shows the sequence. Write an
explicit rule, using function notation, to model the situation.

Answers

ANSWER:

F(x)= -50x-100

Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0

Answers

Answer:

The answer is "Option B".

Step-by-step explanation:

The null hypothesis relates to either the initial reality in which no significant statistically meaningful evidence stays; else the equal variances which would be the reverse of the zero become preferred rather than the zero. From the above case, that scientist claimed that 'the proportion of main coon cats' community in region A surpassed these in region B.' The alternate theory is Ha: PA - PB > = 0 whereas the Null is from the idea that Polydactyl cats were the same as in areas A and B.

help plzzzzzz!!!!!!!​

Answers

Answer:

just count how many shapes like the front triangle is one face

Answer:

2 triangle faces, 3 rectangle faces. Thank me later

Jenny has $120 to spend on parking and admission to the county fair. The parking will cost $9, and the
admission will cost $18.50 per person, including tax

Answers

Answer:

what is your question to help you

Write the word sentence as an equation. Then solve the equation.

A number k increased by 7 is 34.

An equation that represents this word sentence is
.

The solution is k=
.

Answers

Answer:

27

Step-by-step explanation:

Here's the complete question:

Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.

An increase in k simply means that there's an addition. This will be:

k + 7 = 34

k = 34 - 7

k = 27

Therefore, the value of k is 27

Step-by-step explanation:

Answer:

k = 34 - 7

k = 27

Step-by-step explanation:

increased by 7 = 34 which is means,

this number was 27

The solution is Equation: k = 34 - 7

Solution: k = 27

Find the x in each triangle
HELP NOW!!!! PLSSS

Answers

Answer:

8 CM

Step-by-step explanation:

(Hypotenuse)²=(Base)²+(Height)²

10²=X+6².

100=X+36

100-36=X ( by transposition method )

√64=X

8=X

8 - 6 ÷ 3 + 11 =

what is the answer

Answers

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

You would use pemdas to solve this so since there is no parentheses, exponents, or multiplication you would do the division first and then the subtractions then addition because the subtraction comes first in this equation. 6 divided by 3 is 2 then 8 - 2 = 6 and then 6 + 11 = 17

??? please help i cant do it

Answers

Answer: 111 degrees

Step-by-step explanation:

all angles added up together is 360 degrees

vertical angles = 180 degrees -> 3x+15=R, 2x+5= missing angle

360 = (2x+5)+(2x+5)+(3x+15)+(3x+15)

360 = 10x+40

320 = 10x

32 = x

plug it in

3x+15 -> 3(32)+15 = 111 degrees

-what is the area and perimeter of the trapezoid.

-what are the area and perimeter of a trapezoid that is similar to this one but reduced by a linear scale factor of 1/3.

- will give you brainliest if it’s correct

Answers

Answer:

I think its 42 can you pls give brainliest I wanna level up RSM SUCKS

Step-by-step explanation:

Does 1/6, -3, square root of 7 or 4.5 come first when
the numbers are listed from least to greatest?
Explain.

Answers

From least to greatest:

-3, 1/6, √7, 4.5

-3 comes first as the least value because it is negative. It does not matter if the numbers are very small, as long as the value is positive, -3 will always be the least.

The order would be -3,1/6,7,4.5

Brainliest for answer

Answers

Answer:

C. 8 and -32

Step-by-step explanation:

-2 → 8 → -32 → 128

-4 -4 -4

f(n) = -2 • -4^(n–1)

The common ratio is -4, and the first term of the sequence is -2.

Where f(n) is the nth term of the sequence.

order of operations problem please help

Answers

Answer:

36 .......................

Answer:

1/2

Step-by-step explanation:

what is the median of 17, 12, 28, 21, 14, 74, 32, 14, 25, 23

Answers

Answer:

The median is 22.

Step-by-step explanation:

what's the range of 7,5,7,8,6

Answers

Answer:

3

Step-by-step explanation:

Define the range of a list of numbers.

I'm not %100 percent certain because I learned that a long time ago.

Answer: 3

Step-by-step explanation:

The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.- source

SOO the first thing we have to do is find the smallest and largest numbers : 5 (smallest), 8 (largest).

Then we have to substract5 from 8 (8-5= 3)

The range is 3!

If you need extra help you can go to the site khanacademy as they give educational videos and practice on how to do the standards. Ever since I started using it I have become an A students.

I hope this helps and may God bless you! Have a nice day, bye!

Other Questions
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