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Ede4ka [16]
3 years ago
11

Three planets are in line and are orbiting round a sun, one take 1 week to orbit the sun another takes 9 weeks and the other tak

es 27 weeks. When is the next time they will all be in alignment?
Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

27 weeks.

Step-by-step explanation:

You need to calculate the minimun common multiple between the three times.

1 week = 1^1 week

9 weeks = 3^2 weeks

27 weeks = 3^3 weeks

You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.

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4x−1=3y+5 as a ordered pair
dalvyx [7]

Answer:

y = 4/3x - 2

Step-by-step explanation:

4x −1 = 3y + 5

    + 1        + 1

4x = 3y + 6

-3y   -3y

-3y + 4x = 6

      - 4x   -4x

-3y = -4x + 6

/-3     /-3

y = 4/3x - 2

*View attached graph for ordered pairs*

Hope this helps!

8 0
2 years ago
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the sam
cluponka [151]
Given:
Week 6 = 14 miles
Week 5 = 1.5 miles less than week 6.

1.5 miles is the common difference.

Week 6 = 14 miles
Week 5 = 12.5 miles
Week 4 = 11 miles
Week 3 = 9.5 miles
Week 2 = 8 miles
Week 1 = 6.5 miles

f(t) = first term + common difference(t-1)
f(t) = 6.5 miles + 1.5 miles (t-1)

f(1) = 6.5 + 1.5(1-1)
f(1) = 6.5 miles

f(2) = 6.5 + 1.5(2-1)
f(2) = 6.5 + 1.5
f(2) = 8 miles

7 0
3 years ago
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How do you solve this?
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