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zmey [24]
3 years ago
5

What are 2 different equivalent fractions for LaTeX: \frac{2}{6}2 6 ? *In your answer, use a "/" as a fraction bar symbol. For e

xample, LaTeX: \frac{2}{6}2 6 can be typed as 2/6
Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

<em> 4/12 and 6/18</em>

Step-by-step explanation:

Given the fraction 2/6

We are to write  2 different equivalent fractions that are the same as 2/6

To do this, we will multiply the numerator and denominator of the fraction by same constant. Multiply the numerator and denominator by 2 will give;

2/6 * 2/2

= (2*2)/(6*2)

= 4/12

Also multiplying by a value of 3

= 2/6 * 3/3

= (2*3)/(6*3)

= 6/18

<em>Hence the 2 different equivalent fractions are 4/12 and 6/18</em>

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A round cake has a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. Angela places the cake on a circular cake
VLD [36.1K]

Answer:

The circumference of the cake board is <u>35π cm</u>.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.

Now, to find the circumference of the cake board.

As, given diameter of cake = 30 cm.

And diameter of cake board is 5 cm longer than that of the cake.

Thus, the diameter of cake board is:

30\ cm+5\ cm=35\ cm.

So, to find the circumference we need radius, by putting formula:

Radius(r)=\frac{Diameter}{2}

Radius(r)=\frac{35}{2}

Radius(r)=17.5\ cm.

Now, to get the circumference of the cake board we put formula:

Circumference=2\pi r.

Circumference=2\times \pi \times 17.5

Circumference=35\pi \ cm.

Therefore, the circumference of the cake board is 35π cm.

4 0
3 years ago
A maple syrup producer would like to increase production by 500 gallons per each consecutive year with a goal of producing at le
ipn [44]

Answer:

b) x ≥ 3000 gallons

Step-by-step explanation:

Part a)

Production of Year 1 = x gallons

By each year the producer will increase the production by 500 gallons. So,

Production in Year 2 = x + 500 gallons

Similarly,

Production in Year 3 = x + 500 + 500 = x + 1000 gallons

Production in Year 4 = x + 1000 + 500 = x + 1500 gallons

Production in Year 5 = x + 1500 + 500 = x + 2000 gallons

Part b)

The maple syrup producer wants to produced atleast 20,000 gallons in 5 years.

Total amount produced in 5 years = x + x + 500 + x + 1000 + x + 1500 + x + 2000

Total amount produced in 5 years = 5x + 5000

Since, producer wants total production to be atleast 20,000, we can set up the inequality as:

5x + 5000 ≥ 20000

Subtracting 5000 from both sides, we get:

5x ≥ 15000

Dividing both sides by 5, we get:

x ≥ 3000

This means, in the first year the production of maple syrup must be atleast 3,000 gallons i.e 3000 gallons or more to have a total of atleast 20,000 gallons in 5 years.

8 0
3 years ago
Max recorded the math scores of five of his classmates in the table. What is the range of their test scores? 16 24 88 89
lukranit [14]
73. you subtract 89 and 16 and that gives you your answer which is*** 73***
7 0
3 years ago
Read 2 more answers
0.92 repeating as a fraction<br> (0.9222222222222222222........)
Scrat [10]

Answer:

0.9222222222222222/1

Step-by-step explanation:

8 0
3 years ago
The length of a rectangle is 3 inches longer than half of its width. The area of the
IgorLugansk [536]

Answer:

Width = 26 inches

Step-by-step explanation:

The area of the rectangle is:

area = (length*width)

416 = a*b

a = b/2  + 3

a = length

b = width

then:

416 = (b/2 + 3) (b)

416 = b*b/2 + b*3

416 = b²/2 + 3b

0 = b²/2 + 3b - 416

b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)

b = {-3±√(9+832)} / 1

b = {-3±√841}

b = -3±29

only take the positive value becuse is a natural number

b = -3+29

b = 26 inches

a = b/2 + 3

a = 26/2 + 3

a = 13 + 3

a = 16 inches

Check:

416 = 16 * 26  

8 0
3 years ago
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