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melomori [17]
3 years ago
9

What is 14 hours in 2 weeks as a unit rate?

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0
Seven hours in one week.
Ilia_Sergeevich [38]3 years ago
6 0

In one day 24 hours, in weeks 7 days, so in one week

7*24=168 hours.

In two weeks

168*2=336 hours

14 hours in unite rate is

\frac{14}{336} =\frac{7}{168}

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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.

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3 years ago
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scZoUnD [109]
B. 5 cm, 6 cm, 7 cm . because the sum of two sides should be greater then the 3rd side
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What is 3 divided by 1/6?
Alex777 [14]

Answer:

18

Step-by-step explanation:

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daniel kicks a soccer ball and the trajectory is modeled by f(t) = -16t^ +32t. what would be the value of f(1)
PtichkaEL [24]

Answer:

f(1)=16

Step-by-step explanation:

f(t)=-16t+32t

f(1)=-16(1)+32(1)

f(1)=-16+32

f(1)=16

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Find the sale price
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24.5x.18=4.41

$4.41 is how much you save with the discount. You subtract this amount from the regular price.

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