A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?

Answers

Answer 1

Answer:

The length of the first piece is 0.51 m

The length of the second piece is 0.31 m

The length of the third piece is 0.28 m

Step-by-step explanation:

The question is a simultaneous equation with word problem

The total length of the wood = 0.9 m

The number of pieces the wood is cut into = 3

The length of the first piece = 0.2 m + The length of the second piece

The length of the third piece = The length of the second piece - 0.23 m

Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;

x = 0.2 + y...(1)

z = y - 0.23...(2)

x + y + z = 0.9...(3)

Therefore, by substitution, we have;

0.2 + y + y + y - 0.23 = 0.9

3·y - 0.03 = 0.9

3·y = 0.9 + 0.03 = 0.93

y = 0.93/3 = 0.31

y = 0.31

The length of the second piece = y = 0.31 m

From equation (1), we have;

x = 0.2 + y = 0.2 + 0.31 = 0.51

x = 0.51

The length of the first piece = x = 0.51 m

From equation (2), we have;

z = y - 0.23

z = 0.51 - 0.23 = 0.28

z = 0.28

The length of the third piece = z = 0.28 m.


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Answers

To answer this, you can set up a ratio.

240:2
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2 x 5 = 10
240 x 5 = ?
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The neon sign would blink 1,200 times in 10 minutes. Hopes this helps!

Answer:

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Step-by-step explanation:

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Mrs.Walker would like to give each of her 32 students no less than three stickers. How many stickers must she have

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Answer:

Mrs. Walker will need at least 96 stickers in order to give each of her students at least 3 stickers each.

Step-by-step explanation:

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96 is the minimum

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Answers

Answer:

The best buy is the 0.74 kg box

Step-by-step explanation:

Kamilah noticed that three different-sized boxes of the same cookies were on sale at a grocery store.

We find the unit price for 1 box

a) The 0.425 kg box was on sale for $3.59

= 1 kg = $3.25/0.425

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b) the 0.74 kg box was on sale for $4.88,

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c) the 0.95 kg box was on sale for $7.29.

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Which box of cookies was the best buy?

The best buy is the 0.74kg box because 1kg of this box has a lesser price compared to the others.

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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-3w - 4 = 6

Add 4 on both sides

-3w - 4 + 4 = 6 + 4

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Divide by -1 to isolate the variable

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Answers

Answer:

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Step-by-step explanation:

If you split the shape into two parts, you can find the volume of each and solve. For the first part, you do 10x8x6 to get 480. For the second part you do 12x10x6 to get 720. Add 480+720 to get 1200.

Hope it helps!

The Invisible Hand promotes
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Answers

The answer to this is D

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Answers

Answer:

20

Step-by-step explanation:

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The students's estimation is 80%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that a student has a container with a volume of 0.5 liter.

He estimates the volume to be 0.4 liter.

Now to find the percentage of estimation,

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Required percentage = 0.4 × 100 / 0.5

Required percentage = 0.4 × 100 / 0.5

Required percentage = 80%

Therefore, the students's estimation is 80%.

To learn more about the percentage;

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Check if you need to make sure the answer is correct

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Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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if is helpful ❤❤

THANK YOU

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Answers

Answer:

I don't know how sorry àaaaaaaaaaaaaàaàaaaaaàaaà

Plz help
Suppose y varies directly with x, and y = 13 when x = 4. What direct variation equation relates x and y? What is the value of y when x = –6?

Answers

Answer:

direct variation equation: y = 13/4x

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Step-by-step explanation:

y = kx  where 'k' is the constant to proportionality

13 = 4k

k = 13/4

equation:  y = 13/4x

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y = 13/4(-6)

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Answer:

y = 4

Step-by-step explanation:

4y 1x  

3x 1y

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Answer:

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Answer:

each of the drinks are $3

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

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0
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Answers

Answer:

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Step-by-step explanation:

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