3 years ago

Find the multiplicative order of 5 and 7 in z16

1 answer:

3 0

$5\equiv5\mod{16}$
$5^2=25\equiv9\mod{16}$
$5^3\equiv5\cdot9\equiv45\equiv48-3\equiv-3\equiv13\mod{16}$
$5^4\equiv9^2\equiv81\equiv1\mod{16}$
$5^5\equiv5\cdot1\equiv5\mod{16}$

$7\equiv7\mod{16}$
$7^2\equiv49\equiv48+1\equiv1\mod{16}$
$7^3\equiv7\cdot1\equiv7\mod{16}$

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Emma scored 4 points more than twice number of points teagan scored. Emma scored 3 points. How many did teagan score

Snowcat [4.5K]

Let's write T for Teagan's score and E for Emma's score.
Also, let's write an equation

E = 2T + 4
E = 3
2T + 4 = 3
subtract 4 from both sides
2T = -1
divide both sides by 2
T = -1/2

To see of this is correct:
2T + 4 = 3
2(-1/2) + 4 =?= 3
-1 + 4 =?= 3
3 = 3

Hope this helps

8 0

2 years ago

Select the three ratios that are equivalent to 3 boys/5 girls.

Stels [109]

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