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gizmo_the_mogwai [7]
3 years ago
9

Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Richard = R & Teo = T

Richard & Teo are combined 41 it means R + T = 41

R = 8 + 2T

R + T = 41 #1

R = 8 + 2T #2

replace 2 in 1

8 + 2T + T = 41

8 + 3T = 41

3T = 41 -8 = 33

T = 11

R = 8 + 2*11 = 30

result = richard is 30 & teo is 11 years old.

2 times of Teo is 22

and 8 years older it means + 8

= 30

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What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?
bezimeni [28]
3\equiv3\mod{20}
3^2\equiv9\mod{20}
3^3\equiv27\equiv7\mod{20}
3^4\equiv3\cdot3^3\equiv3\cdot7\equiv21\equiv1\mod{20}

7\equiv7\mod{20}
7^2\equiv49\equiv9\mod{20}
7^3\equiv7\cdot7^2\equiv63\equiv3\mod{20}
7^4\equiv7\cdot7^3\equiv21\equiv1\mod{20}

9\equiv9\mod{20}
9^2\equiv3^4\equiv1\mod{20}

11\equiv11\mod{20}
11^2\equiv121\equiv1\mod{20}

13\equiv-7\equiv13\mod{20}
13^2\equiv169\equiv9\mod{20}
13^3\equiv13\cdot13^2\equiv(-7)9\equiv-63\equiv-3\mod{20}
13^4\equiv13\cdot13^3\equiv(-7)(-3)\equiv21\equiv1\mod{20}

17\equiv-3\equiv17\mod{20}
17^2\equiv(-3)^2\equiv9\mod{20}
17^3\equiv(-3)^3\equiv-27\equiv3\mod{20}
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19\equiv-1\equiv19\mod{20}
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Generally speaking, a number x coprime to n will be a primitive root of n if we have x^n\equiv x\mod{n}, or x^{n-1}\equiv1\mod{n}. In other words, if x is of order n-1 modulo n, then x is a primitive root of n.

Since none of these numbers has order 19, it follows that 20 does not have any primitive roots.
6 0
3 years ago
name at least two Coastal features that are shaped by erosion and two costal features that are shaped by deposition
hodyreva [135]
Hope you find an answer to this problem it's actually pretty hard
4 0
3 years ago
In 1846 the depth of the river was 2.5 feet deep. In 1847 it rose 9%. This year, 1848, it dropped 6%. How deep is the river now?
Virty [35]

Answer:

So the answer is 2.5615 feet.

Step-by-step explanation:

So the river is 2.5 feet deep, and when you find that 9% is, using the cross-multiplication formula to find the percent then 9% of 2.5 is 0.225, and when you add that to 2.5 you get 2.725, and when you find 6% of 2.725, you get 0.1635, and since it dropped, you subtract, and you end up with 2.5615

Hope I helped

8 0
2 years ago
Please help please please help
Inessa05 [86]

2x + 2 = 3x - 52

-2x         -2x

2 = 1x - 52

+52     +52

54 = 1x

----   ----

1        1

54 = x

Check:

2(54) + 2 = 3(54) - 52

108 + 2 = 162 - 52

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3 0
3 years ago
Read 2 more answers
8 - 10 is the same as
liubo4ka [24]
B. 8+(-10)


Explanation:

8-10 is -2
If you try all the answers, 8+-10=-2
6 0
3 years ago
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