Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. How many pounds of potatoes did farmer Bill sell?

Answers

Answer 1

Answer:

Farmer Bill sold 120 lb of potatoes

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]

Thus:

[tex]\frac{1}{12}x=10[/tex]

x = 120 lb

Farmer Bill sold 120 lb of potatoes

Answer 2

The Farmer will sold 120 lb of potatoes.

Let us consider that farmer have x lb of potatoes.

He sold a quarter to the first person, that is  [tex]\frac{x}{4}[/tex]

Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]

4/9 of what was left to the second person,

 Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]

the third buyer bought 4/5 of what was left

       that is,          [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]

Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]

Since, Potatoes left = 10 lb

So,   [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]

Thus, The Farmer will sold 120 lb of potatoes.

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Related Questions

What is the total area of the shaded region? Type just the answer in the blank. ​

Answers

Answer:

240cm

Step-by-step explanation:

6cm*14cm= 84cm

6*6=36

84+36=120*2=240

Answer:

7cm x 8cm

Step-by-step explanation:

The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').

Half the values of each side are subtracted from one another, so

horizontal length: 14/2 = 7cm

vertical length: 12/2 = 6cm

Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)

14 - 7 = 7cm

Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)

12 - 6 = 6cm

The total area is calculated by multiplying the horizontal and vertical lengths

7x6 = 42

the answer is 42

Solve to find X. 3 ≥ -3x

Answers

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

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question not used

Answers

Erroripairedwithmymomohno.exe has stopped working.

Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?

Answers

180 divided by 3 = 1 minute = 60 words
1260 divided by 60= 21
21minutes

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8

plz help me i really beg of you!

Answers

Answer:

v = -122.5

Step-by-step explanation:

1: 2.3 + v/7 = -15.2

2: v/7 = -17.5

3: v = -122.5

Step 1: This is the given equation

Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v

Step 3: both sides of the equation were multiplied by 7 to get v = -122.5

Answer:

245 over 2

Step-by-step explanation:

just use a calculator and you should be able to get the question right

Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.

Work out Ted's total pay for last week.​

Answers

118.50 cents if I’m correct

Answer:

The answer is 122.45

Step-by-step explanation:

So basically we know that he worked 15 and 1/2 hours

He gets paid £7.90 for every hour he works

7.90  × 15 = 118.5

Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.

You add 118.5 + 3.95 = £122.45

and that your answer

Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin

Answers

Answer:

a

Step-by-step explanation:

hope this help mark me brainlist plz

The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The sequence of transformations takes A to its image A'.

Now, We have;

The coordinate of A are (4, 5)

And, The coordinate of A' are (4, - 4)

Hence, The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

Learn more about the transformation visit:

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johnathan is rolling 2 dice and needs to roll an 11 to win the game he is playing.what is the probability that johnathan wins the game?

Answers

Answer: Hope this helps, I think I did the right math if not I'm sorry

2/6 x 1/6 = 1/18

Step-by-step explanation:

you will have amazing luck if you help me out trust

Answers

Answer:

x=29

Step-by-step explanation:

5x+30=175 because they are congruent

5x=145

x=29


The ratio using a colon is

Answers

a ratio?

What numbers a provided

5/6 / 1/3 equals what ​

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

[tex]\frac{a}{b}[/tex]

[tex]\frac{c}{d}[/tex]

The division:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]

can be done by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are given the fractions 5/6 and 1/3. Their division is:

[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]

Simplifying:

[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]

Answer: [tex]\mathbf{\frac{5}{2}}[/tex]

A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?

Answers

Answer:

6.5

Step-by-step explanation:

Answer:

y≈15840

Step-by-step explanation:

Exponential Functions:

a=starting value = 14000

r=rate = 2.5%=0.025

Exponential Growth:

b=1+r=1+0.025=1.025

Write Exponential Function:

put it all together-

y=14000(1.025)^x

Plug in time for x:

y=14000(1.025)  ^5

Evaluate-

y=15839.71498

round-

y≈15840

1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer

Answers

Answer:

8%

Step-by-step explanation:

Original Price = 75 cents  New Price = 81 cents, % increase = ?

% increase = 81 - 75/75 × 100%

% increase = 6/75 × 100%

% increase = 8% ( Ans)

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?

Answers

Answer:

37.7

Step-by-step explanation:

C = 2 pi r

C= πd

12× 22/7

= 264/7

= 37.71cm

Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?​

Answers

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles

A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.

How many oranges would be needed to make 60 L of fresh-squeezed juice?


380 oranges

400 oranges

460 oranges

540 oranges

Answers

Answer:

Using direct proportion

40L was made from 360 oranges

1 L will have been made from (360/40) oranges = 9 oranges

60L will then be made from :     60 * 9 oranges = 540 oranges.

D.

Step-by-step explanation:

Answer:

D. 540

Step-by-step explanation:

5-4x=23
What's the value of x and please show your work. ​

Answers

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

5-4x=23 |-5

5-4x-5=23-5

-4x=18 |*(-1)

4x=18 | /2

2x=9 |/2

x=9/2 or 4.5

Answer:

x = 4.5

Step-by-step explanation:

Subtract 5 from BOTH sides to start with:

5-5 = 0 (5 cancels out on left side) 23-5 = 18

New Equation: -4x = 18

Divide BOTH sides by -4

4 cancels out (x is left) 18/4 = 4.5

New: x = 4.5

Can someone help me out with this problem?

Answers

Answer:

[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]

20 dumplings can be made by Luke.

What is the quotient of 2/3 divided by 4

Answers

Answer:

Step-by-step explanation:

(2/3)/4=(2/3)*(4/1)=8/3=2 2/3

A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer

Answers

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

it would be 14. 2 minus 12.50 is 10.50 which divided by .75 is 14

Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?

Answers

Answer:

28 shirts are sold

7/9 of the shirts are sold

Step-by-step explanation:

hope this helps <3

In a pet store, the small fishbowl holds up to 23
gallons of water. The large fishbowl holds up to 2
times as much water as the small fishbowl.
Eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
How many gallons of water does the large fishbowl
hold?
Enter your answer as a mixed number in simplost
form by filling in the boxos.
aal

Answers

Answer: the large fishbowl hold up to 46 gallons of water

Step-by-step explanation:

Answer: the large fishbowl hold up to 46 gallons of water

Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?

Answers

Answer:

12

Step-by-step explanation:

How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction

Answers

Answer:

52-40

Step-by-step explanation:

distribute 4 to 13 and 10

put the subtraction sign back in

Find the percent markup. Round to the nearest whole percent. Store's cost: $100.00 Selling price: $160.00

Answers

Answer:

im here for the points

Step-by-step explanation:

In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter

Answers

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

How do you multiply monomials with the same base?​

Answers

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

Example

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5

the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet

Answers

Answer:

vbhjnkmlnkbjvhcgfdxgcvhbjnncnng

Step-by-step explanation:

cxvcxbvcbcvbvcbcvbvcvbb

Answer:

thanks

Step-by-step explanation:

can someone help me out?

Answers

First you have to solve for x. X=32.
5*32-12=148
148=(3y-8).
y=52

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

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