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Vadim26 [7]
3 years ago
6

The formula for converting the length from meters to centimeters is given as M = . Rewrite the following equation so that C is a

function of M, then find the length in centimeters when something is 0.5 meters.
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
1 meter is equal to 100 centimeters so half of one meter is 0.5 so half of one centimeter is 50 centimeters.
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Solve the following congruence equations for X a) 8x = 1(mod 13) b) 8x = 4(mod 13) c) 99x = 5(mod 13)
xxMikexx [17]

Answer:

a) 5+13k  where k is integer

b) 20+13k where k is integer

c)12+13k where k is integer

Step-by-step explanation:

(a)

8x \equiv 1 (mod 13) \text{ means } 8x-1=13k.

8x-1=13k

Subtract 13k on both sides:

8x-13k-1=0

Add 1 on both sides:

8x-13k=1

I'm going to use Euclidean Algorithm.

13=8(1)+5

8=5(1)+3

5=3(1)+2

3=2(1)+1

Now backwards through the equations:

3-2=1

3-(5-3)=1

3-5+3=1

(8-5)-5+(8-5)=1

2(8)-3(5)=1

2(8)-3(13-8)=1

5(8)-3(13)=1

So compare this to:

8x-13k=1

We see that x is 5 while k is 3.

Anyways 5 is a solution or 5+13k is a solution where k is an integer.

b)

8x \equiv 4 (mod 13)

8x-4=13k

Subtract 13k on both sides:

8x-13k-4=0

Add 4 on both sides:

8x-13k=4

We got this from above:

5(8)-3(13)=1

If we multiply both sides by 4 we get:

8(20)-13(12)=4

So x=20 and 20+13k is also a solution where k is an integer.

c)

[tex]99x \equiv 5 (mod 13)[/tex

99x-5=13k

Subtract 13k on both sides:

99x-13k-5=0

Add 5 on both sides:

99x-13k=5

Using Euclidean Algorithm:

99=13(7)+8

13=8(1)+5

Go back through the equations:

13-8=5

13-(99-13(7))=5

8(13)-99=5

99(-1)+8(13)=5

Compare this to 99x-13k=5 and see that x=-1 or -1+13=12 or 12+13k is a solution where k is an integer.

8 0
2 years ago
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if computers sell for $1100 per unit and hard drives sell for $113 per unit, the revenue from x computers and y hard hard drives
dusya [7]
(x)1100+(y)113 x depends on the amount of computers is sold so x will change. y will be the amount of hard drives sold and then you add the total amount together.
8 0
3 years ago
Simplify by commbining the like terms. 8y - 3y
11Alexandr11 [23.1K]
8y-3y=5y
5y is the answer
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3 years ago
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Roun
aksik [14]
141.4 would be your answer
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2 years ago
6x2y − 3xy − 24xy2 + 12y2
GalinKa [24]

Answer:

=-39xy+24y

Step-by-step explanation:

\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12

=12xy-3xy-24\cdot \:2xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:24\cdot \:2=48\\=12xy-3xy-48xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:12\cdot \:2=24\\=12xy-3xy-48xy+24y\\\mathrm{Add\:similar\:elements:}\:12xy-3xy-48xy=-39xy\\=-39xy+24y

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3 years ago
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