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3 years ago

7. What is the next fraction in each of the following patterns?

Mathematics

1 answer:

serious [3.7K]3 years ago

4 0

Answer:

36/40, 47/101, 192

Step-by-step explanation:

(a)The numerator (top number of the fraction) is adding up by odd numbers in order.

From 1/40 to 4/40 you add 3, from 4/40 to 9/40 you add 5, from 9/40 to 16/40 you add 7, and from 16/40 to 25/40 you add 9.

The next number to add would logically be 11. So from 25/40 you would go to 36/40.

36/40 is your next fraction.

(b)

3+4=7,4+7=11,7+11=18,11+18=29,18+29=47

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How many solutions does the equation have? 7x +3 - x=3(1 + 2x) (A) 0 (B) 1. (C) infinitely many

tekilochka [14]

Answer:

C) Infinitely many

Step-by-step explanation:

7x+3-x=3(1+2x)

6x+3=3+6x

Subtract 3 from both sides

6x = 6x

Infinitely many solutions

5 0

3 years ago

Alyssa, Bart and Meghan are

adoni [48]

Hi,

Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as: 5p + 3p + 2p = 140,000 --> 10p = 140,000 --> 10p/10 = 140,000/10 --> x = 14,000.

Alyssa gets 5p or (5 x 14,000)

Bart gets 3p or (3 x 14,000)

Meghan gets 2p or (2 x 14,000)

If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.

3 0

3 years ago

Write an equation, and solve. Round your answer to the nearest cent.

VashaNatasha [74]

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.

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3 years ago

Name the shapes that are being described.

4vir4ik [10]

A.) An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.

b.) A Square (4 sides) has 4 Lines of Symmetry.

c.) A Regular Hexagon (6 sides) has 6 Lines of Symmetry

6 0

3 years ago

Which case would be the most appropriate

AleksAgata [21]

Answer:

Case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

Step-by-step explanation:

The drum is in the shape of cylinder so, we will calculated its volume using formula :<u> V = πr²h</u> , where r is radius of cylinder and h is height of cylinder.

In case (a) Given height is 300mm ( 30 cm ) and diameter is 200mm ( 20 cm )

so, radius ( r ) is calculated as d/2

r = 20/2

r = 10 cm

so, volume is V = πr²h = (3.14)*(10)²*30 = 9420 cm³

In case (b) Given height is 30 cm and diameter is 400mm ( 40 cm )

so, radius ( r ) is calculated as d/2

r = 40/2

r = 20 cm

so, volume is V = πr²h = (3.14)*(20)²*30 = 37680 cm³

In case (c) Given height is 250mm ( 25 cm ) and diameter is 32 cm

so, radius ( r ) is calculated as d/2

r = 32/2

r = 16 cm

so, volume is V = πr²h = (3.14)*(16)²*25 = 20096 cm³

Hence, the case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

4 0

4 years ago