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Harman [31]
2 years ago
13

1. Each cube has 6 faces. If Tandra

Mathematics
2 answers:
Ede4ka [16]2 years ago
6 0

1 cube = 6 Faces

2 cubes = 10 Faces

7 cubes = 36 Faces

2÷7 = 3 × 10 = 30 + 6 = 36

The Answer is <u>3</u><u>6</u>

Setler [38]2 years ago
3 0

Answer:

2 cubes = 10 faces

3 cubes = 14 faces

4 cubes = 18 faces

5 cubes = 22 faces

6 cubes = 26 faces

7 cubes = 30 faces

10 faces = 2 cubes

14 faces = 3 cubes

18 faces = 4 cubes

Step-by-step explanation:

We know that 1 cube shows 6 faces, and 2 cubes shows 10 faces. With 3 cubes, it shows 14 faces.

With this pattern, we can conclude that

f(x) = 2 + 4x

f(x) is a function for where f is the value of faces and x is the amount of cubes connected.

To find the amount of faces for the cubes used

f(2) = 2 + 4(2) = 2 + 8 = 10

f(3) = 2 + 4(3) = 2 + 12 = 14

f(4) = 2 + 4(4) = 2 + 16 = 18

f(5) = 2 + 4(5) = 2 + 20 = 22

f(6) = 2 + 4(6) = 2 + 24 = 26

f(7) = 2 + 4(7) = 2 + 28 = 30

For the amount of cubes used given the amount of faces

10 = 2 + 4x

-2   -2

8/4 = 4x/4

2 = x

x= 2

14 = 2 + 4x

-2    -2

12/4 = 4x/4

3 = x

x = 3

18 = 2 + 4x

-2   -2

16/4 = 4x/4

4 = x

x = 4

Your welcome! If you have any questions, please post them in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

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Question 1 (1 point)
Naily [24]

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n  and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB  in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3  

Point P( -1, -3)

8 0
3 years ago
The ratio of flutes to saxophone players in the school band is 6:4 if there are 50 total students how many saxophone players are
nasty-shy [4]
There are 20 saxophone players. For every 6 flutes there are 4 saxophones so if you do 6x5=30. Then you would do 4x5 and get 20. 30 flutes plus 20 saxophones = 50 total students
3 0
2 years ago
Read 2 more answers
When reading a book, Charlie made a list by writing down the page number of the last page he finished reading at the end of each
Assoli18 [71]

Answer:

No. of pages he read by the end of the 8th day = 425

Step-by-step explanation:

Charlie started from page 1 and read the same number of pages each day. Suppose x is the number of pages he read each day, the last page he read on the first day would be:

<u>Last page for day 1 = 1 + x</u>

This would be the first number he noted on the list.

The second page number can be determined by adding the number of pages he read to the last page for day 1.

Last page for day 2 = 1 + x + x

                                 = 1 + 2x

Similarly, the last page he read on the third day is:

Last page for day 3 = 1 + 3x. Similarly,

Last page for day 4 = 1 + 4x

Last page for day 5 = 1 + 5x

Last page for day 6 = 1 + 6x

Last page for day 7 = 1 + 7x

Last page for day 8 = 1 + 8x

His Mom added all of the page numbers and got a total of 432. So,

432 = 1+x + 1+2x + 1+3x + 1+4x + 1+5x + 1+6x + 1+7x + 1+8x

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8x = 432-8

8x = 424

x = 424/8

x = 53

By the end of the 8th day he actually read 1 + 8x pages. Substituting the value of x in this expression, we get:

No. of pages he read by the end of the 8th day = 1 + 8(53)

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No. of pages he read by the end of the 8th day = 425

4 0
3 years ago
Which expression is equivalent to sqrt128x^5y^6/2x^7y^5 ? Assume x 0 and y &gt; 0.
kolbaska11 [484]

<u>Answer:</u>

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<u>Step-by-step explanation:</u>

We are given the following expression and we are to simplify it:

\sqrt {\frac {128x^5y^6} {2x^7y^5} }

To make it easier to solve, we can also write this expression as:

\sqrt {\frac{128}{2} * \frac {x^5} {x^7} * \frac {y^6} {y^5}}

Now we will cancel out the like terms to get:

\sqrt {64*\frac{1} {x^2}*y }

Taking the square root of the terms to get:

8*\frac {1}{x} .\sqrt{y}

\frac{8\sqrt{y} }{x}

4 0
3 years ago
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Find an angle between 0 and 2 that is coterminal with the given angle.
galben [10]

Answer:

40degres

Step-by-step explanation:

4 0
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