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ra1l [238]
4 years ago
11

Pencils and rubbers are in the ratio 7:2. How many times more pencils are there than rubbers?

Mathematics
1 answer:
olganol [36]4 years ago
8 0
Number of times pencils are more than rubbers = 7 ÷ 2 = 3.5 times


Answer: 3.5 times
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A cylinder and a cone have the same diameter:8 inches. The height of the cylinder is 3 inches.The height of the cone is 18 inche
sesenic [268]

The volume of cone is double of the volume of cylinder.

Further explanation:

We have to find both volumes first to compare the volumes of both.

Volume of Cylinder:

Given

Diameter = d = 8 inches

Radius=r=\frac{d}{2}=\frac{8}{2}=4\ inches

Height of cylinder=h=3 inches

V_{Cyl}=\pi r^2h\\=3.14*(4)^2*3\\=3.14*16*3\\=150.72\ in^3

Volume of Cone:

Radius=r=4 inches

Height of cone= h= 18 inches

V_{con}=\frac{1}{3}\pi r^2h\\=\frac{1}{3}*3.14*(4)^2*18\\=\frac{1}{3}*3.14*16*18\\=301.44\ in^3

We can see that

2V_{cyl}=V_{Con}

The volume of cone is double of the volume of cylinder.

Keywords: Volume, Volume of cone

Learn more about volume at:

  • brainly.com/question/4390083
  • brainly.com/question/4401748

#learnwithBrainly

3 0
4 years ago
Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form
natta225 [31]

Answer:

11/14

Step-by-step explanation:

11/4 / 3 1/2

3 1/2= 3*2+1= 6+1=7/2

11/4 * 2/7= 22/28

22/2=11

28/2= 14

11/14

4 0
3 years ago
Read 2 more answers
Tell whether each function is linear or non-linear. Function A Function B x 0 1 2 3 y 0 1 8 27 y = –x + 5
pogonyaev

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the linear function  

y = mx+b

where

  • m is the slope
  • b is the y-intercept

The graph of y = mx + b is a straight line. Thus, y = mx + b represents a linear function.

<u>Analzing the function y = –x + 5</u>

Given the linear function

y = –x + 5

comparing with the slope-intercept form of linear equation

The slope m = -1

The y-intercept b = 5

Also, the graph of a linear function is a straight line.

Thus,

The function  y = –x + 5 represents  a linear function.

<u>Analzing the Table Function </u>

x        0     1     2     3

y        0     1     8     27

In order to identify whether the given table represents the linear function or not, we need to make sure the given function has a constant change x and y.

If there is a constant change in x and y, then it would be a linear Function otherwise it would not represent a linear function.

There is a constant change in x values.

i.e.

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

But, there is NOT a constant change in y.

i.e.

1 - 0 = 0

8 - 1 = 7

27 - 8 = 19

It is clear that the table does not have a constant change in y-values.

Therefore, the table function does not represent the linear function

3 0
3 years ago
Find the inverse of the given function. f(x) = 7x – 4​
lukranit [14]

Hi there!

\large\boxed{y = \frac{x + 4}{7}}

f(x) = 7x - 4

Rewrite f(x) with y:

y = 7x - 4

Swap the x and y variables:

x = 7y - 4

Solve for y:

x + 4 = 7y

y = (x + 4)/7

3 0
3 years ago
What is 5 x 28 / 10 + 100 - 2
KatRina [158]

Answer:

The answer is 112

Step-by-step explanation:

((58 x 28) / 10) + 100 - 2

4 0
3 years ago
Read 2 more answers
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