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VashaNatasha [74]
3 years ago
12

Write an equation to convert a diamond's weight in carats to its weight in milligrams. Be sure to define your variables.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0
Carats, known as ct, is a measure of weight used for gemstones.One carat is equal to 1/5 of a gram (200 milligrams). Stones are measured to the nearest hundredth of a carat. So, the equation would be as follows:

m = c x 200

where m is the mass in units of milligrams and c is the weight in units of carats.

Hope this helped. Have a nice day.
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A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

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3 years ago
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Answer:

a - 2

Step-by-step explanation:

Perimeter = side 1 + side 2 + side 3

So

6a + 3 = 2(a + 3) + (3a - 1) + side 3

side 3 = (6a + 3) - (2a + 6) - (3a - 1)

side 3 = 6a - 2a - 3a + 3 - 6 + 1 = a - 2

8 0
2 years ago
Read 2 more answers
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Answer:

284.6 square yards

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Step-by-step explanation:

Base: 7 × 13 = 91

Rectangle Sides: 6.1 × 13 = 79.3 (x2 = 158.6)

Triangle Sides: 5 × 7 = 35 (÷2 ×2 = 35)

Add: 91 + 158.6 + 35 = 284.6

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Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1
Fynjy0 [20]

Answer:

The answer is 4.

Step-by-step explanation:

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27*(-48)+-48*(-27) find the product by using properties
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Final Result :

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