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victus00 [196]
3 years ago
10

A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wo

od is 45 inches, then what is the length of the short side?

Mathematics
2 answers:
vekshin13 years ago
8 0

Answer:

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

artcher [175]3 years ago
4 0

Answer:

12

Step-by-step explanation:

So 4:5:6 = 45

4+5+6 = 15

45/15 = 3

Since 4 is the smallest, 4*3 = 12.

Hope this works!

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Solve 2(x + 3) = x - 4
andreyandreev [35.5K]

Answer:

x = -10

Step-by-step explanation:

first, expand the left side of the equation (distributive property):

2x + 6 = x - 4

then, subtract x and 6 on both sides to put like terms together:

2x - x = -4 - 6

combine like terms:

x = -10

done! hope this helps!

3 0
3 years ago
Read 2 more answers
Help me!<br> solve for w
Ket [755]

Answer:

w = 5 , w = -5

Step-by-step explanation:

w^2 = 25

Take the square root of  each side

sqrt(w^2) = ± sqrt(25)

w = ±5

6 0
3 years ago
Read 2 more answers
several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2 ,3 and so on .The people at
alexandr1967 [171]

12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.

The people at positions 3 and 15 are directly opposite each other.

Then the number of the people are sitting at the table will be

1 is opposite to 13

2 is opposite to 14

3 is opposite to 15

Similarly, 12 will be opposite to 24.

Then the number of the people are sitting at the table will be 24.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

7 0
2 years ago
Can anyone plz help me out with this?
jek_recluse [69]

Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

4 0
3 years ago
How do you solve the linear equation -3x-3=4x-3 ?
schepotkina [342]
-3x-3 = 4x-3

-3 = 7x-3

0 = 7x

x = 0
7 0
4 years ago
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