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Vlad [161]
3 years ago
10

Earth, Mars, Saturn, Uranus and Neptune revolve around the sun. Earth takes 1 year, Mars 2 years, Saturn 30 years, Uranus 84 yea

rs, and Neptune 165 years to make a complete revolution. How often will Saturn and Mars appear in the same direction in the night sky as seen from Earth? (Hint: Find the LCM of 30 and 2.) Saturn and Mars will appear in the same direction in the night sky every years.
Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

  30 years

Step-by-step explanation:

2 is a factor of 30, so the LCM of 2 and 30 is 30.

Saturn and Mars will appear in the same direction in the night sky every 30 years.

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Find the value of x.<br> 101 x +29
iVinArrow [24]

Answer:

x = 50

Step-by-step explanation:

101 + (x + 29) = 180

130 + x = 180

x = 180 - 130

x = 50

4 0
3 years ago
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Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
r-ruslan [8.4K]

Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

7 0
3 years ago
How much higher is checkpoint 4 than checkpoint 1<br> checkpoint 1= -86<br> checkpoint 4= 2,177
Rina8888 [55]
Answer is 2263.
Checkpoint 1 is -86 
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Subtract -86 from 2177....2177-(-86)
   =2263
2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)

Hope this helps! :)
6 0
3 years ago
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Right now the number 33 and 89 to estimate their sum
ozzi

<span> <span><span>Addition, you can have 89 + 33 = 122 </span>
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<span>Distributive Property by allotting: 10 (8.9) + 33 = 113   </span>


</span></span> Other examples include:
Addition, you can have 33 +  = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>

4 0
3 years ago
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Answer:

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7 0
3 years ago
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