Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?

Answers

Answer 1

Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So

\displaystyle x+2x+x+2=26x+2x+x+2=26

\displaystyle 4x=244x=24

\displaystyle x=6x=6

Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.

Answer 2

Peter picked 6 kilograms of chestnuts.

Mary picked 12 kilograms of chestnuts.

Lucy picked 8 kilograms of chestnuts.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Let Peter pick x kilograms of chestnuts.

Given that Mary picked twice as many chestnuts as Peter

So, Mary picks 2x kilograms of chestnuts.

And Lucy picks  x + 2 kilograms of chestnuts

Together the three of them picked 26 kg of chestnuts

So, x + 2x + x + 2 = 26

4x + 2= 26

4x= 26-2

4x= 24

4x/4= 24/4

x= 6

Thus, Peter picked 6 kilograms of chestnuts.

⇒ 2x

⇒ 2 (6)

⇒ 12

Thus, Mary picked 12 kilograms of chestnuts.

⇒ x + 2

⇒ 6 + 2

⇒ 8

Thus, Lucy picked 8 kilograms of chestnuts.

Learn more about Arithmetic operations here:

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Related Questions

Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24

Answers

Answer:

≈ 4.12 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)

d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]

   = [tex]\sqrt{(-4)^2+1^2}[/tex]

   = [tex]\sqrt{16+1}[/tex]

   = [tex]\sqrt{17}[/tex]

    ≈ 4.12 ( to the nearest hundredth )

Answer:

The distance between given points is: 4.12 units

Step-by-step explanation:

Given points are:

(3, 8) and (-1, 9)

Here

[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]

The distance is calculated using the following formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values, we get

[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]

Rounding off to nearest hundredth

d = 4.12 units

Hence,

The distance between given points is: 4.12 units

3 more than x is less than 6

Answers

Answer:

x = 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

its complicated to explain sorry, but trust me

Solve for x.
3x - 161
7x - 382

Answers

Answer:

55.25 = x

Step-by-step explanation:

3x - 161 = 7x - 382

Balance method:

7x- 3x = -161 + 382

4x = 221

Divide to find x:

221/4 = x

55.25 = x

What would the function be for the following statement:
"y is 3 more than half of x"?

Answers

Answer:

0

Step-by-step explanation:

Will give brainliest!!! Please help

Answers

Answer:

1. F(12)

2. F(m) = 2,500

3. F(v) ≥ 3,000

4. 0.9F(30)

Answer:

There are many answers to this one. Look at the step-by-step explanation.

Step-by-step explanation:

1. The top one (the amount, in dollars, raised by volunteers) matches with F(12).

2. The next one down (the amount, in dollars, raised by m volunteers is $2,500) matches with F(m) = 2,500.

3. The second to last one down (the amount, in dollars, raised by v volunteers is at least $3,000) matches with F(v) ≥ 3,000.

4. The very last one at that bottom (90 percent of the amount, in dollars, raised by 30 volunteers) matches with 0.9F(30).

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?

Answers

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.

Then, according to question,

[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]

Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get

[tex]4.15x+5.25(4x)=980.85[/tex]

⇒[tex]4.15x+21x=980.85[/tex]

⇒[tex]25.15x=980.85[/tex]

⇒[tex]x=\frac{980.85}{25.15}[/tex]

⇒[tex]x=39[/tex]

Therefore, 39 pounds of type A coffee were used.

Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?

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Answer:

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Step-by-step explanation:

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answer:

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due

Step-by-step explanation:

a town spends 43% of its annual budget on education. if the town's budget is one million dollars, how much will be spent on education?

Answers

Answer:

my dad left me

Step-by-step explanation:

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$430,000

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1,000,000 * 0.43

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Answer:

hi

Step-by-step explanation:

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Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

Every rational number is an integer.

True

False

Answers

Answer: False

======================================================

Explanation:

A counter-example could be something like 2/3 which is rational, but not an integer since 2/3 = 0.67  has a fractional or decimal portion to it. An integer is one where its a positive or negative whole number. Zero is also an integer.

Any rational number is a ratio or fraction of two integers. Zero is not allowed in the denominator. Any integer is a rational number since x = x/1, where x is any integer. For example, 9 = 9/1.

Answer:

False

Step-by-step explanation:

Rational numbers include all integers, fractions, or terminating and repeating decimals.

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Answer:

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Step-by-step explanation:

Answer:

2 5/8 cups ur welcome

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Answers

Answer:

2.6458

Step-by-step explanation:

A root of 7 is definitely between the numbers 2 and 3.  When you put this number on a calculator the number should be 2.6458 when rounded.

Answer:

the answer is 2.64575

Step-by-step explanation:

because √2 = 1.414, √3= 1.732, √4 = 2, √5 = 2.236, √6 = 2.449, and √7 = 2.64575 or 2.646

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Answer:

Cylinder

Step-by-step explanation:

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Answers

Answer:

36

Step-by-step explanation:

We can use the is/of=%/100 proportion...

x  =  90

40    100

First, we need to multiply 90 by 40. 90x40=3,600.

Next, we have to divide 3,600 by 100. 3,600/100=36.

Rose needs to get 36 questions correct to get at least a 90%.

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It is a parallelogram so m+8 = 3m and 2n-1 = 9

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Answers

9514 1404 393

Answer:

  A)  y = -3x +7

  B)  y = (7/3)x

Step-by-step explanation:

Maybe you want the equations of the lines.

Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.

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__

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Answers

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

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= 0.60 + 0.50 - 0.275

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Answers

Answer:

In all you have 800 students.

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit

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Answer:

d

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

70 Liters

Step-by-step explanation:

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Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt​

Answers

Answer:

it would be 3

Step-by-step explanation:

Answer:

21.25 for one shirt so it 75 in all if you add all the shirts

The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?

Answers

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

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Answers

Answer:

(a)

Step-by-step explanation:

The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.

Answer:

a) Base Angle Theorem

Step-by-step explanation:

The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

Find the slope of a line parallel to the line through the points. ises 11.3. omplete the following: (c) (10, 6) and (10, 10) ​

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undefined

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cv vfgvbgfgvd

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Answer:

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Step-by-step explanation:

Answer:

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There are 8 outcomes if a coin is flipped 3 times.

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Answers

Answer:

a=250

b=10

done...

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