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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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Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent. is chuck corre
omeli [17]
Chuck will be able to draw a cylinder in the polyhedron because he has a pair of the congruent bases. He may draw circle on the bases and connect the whole circumference of the circle at top and the whole circumference of the circle at the bottom to form the cylinder. 
5 0
3 years ago
Find the slope between the two points.<br> (2,7) and (5, 8 )
vlabodo [156]

Answer:

Slope

0.33

Step-by-step explanation:

8 0
3 years ago
Anil completes the 72km journey between Bristol and Cardiff in 48 minutes. He then drives 69km from Cardiff to Swansea at an ave
Sergeeva-Olga [200]

Step-by-step explanation:

we simply need to get the total distance and the total time and put them into relation, norming it to distance in 1 hour. after all, speed is always an average number over a period of time (even if it is a tiny period of time).

the total distance is

72 + 69 = 141 km

he drove 69 km going 60 km/h.

how much time did he need ?

we need to get the hours out of an expression of km and h.

so, we need to do

69 km × 1/60 km/h = 69 h / 60 = 69 minutes = 1.15 hours =

= 1 h 9 minutes

so, the total time was

48 + 69 = 117 minutes = 117/60 = 1.95 hours

the average speed for the whole trip was then

141 km / 1.95 h = 141/1.95 km / 1 h = 72.30769231... km/h

3 0
2 years ago
I do not understand this assignment at all..I've been stuck on it for a long time and it's due very soon.
Alik [6]

\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03

Answer:

State income tax: 6.65\%

Step-by-step explanation:

Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.

The chart given for state income tax is broken into two categories:

$21,400-$80,650 => 6.45%

$80,651-$215,400 => 6.65%

Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.

The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:

115,820\cdot 0.0665=\boxed{\$7,702.03}

7 0
3 years ago
-6n-20=-2n+4 (1-3n)<br> how do you solve it?
Leona [35]
6n−20=−2n+4(1−3n)

Simplify both sides of the equation.

−6n−20=−2n+4(1−3n)

−6n+−20=−2n+(4)(1)+(4)(−3n)(Distribute)

−6n+−20=−2n+4+−12n

−6n−20=(−2n+−12n)+(4)(Combine Like Terms)

−6n−20=−14n+4

−6n−20=−14n+4

Add 14n to both sides.

−6n−20+14n=−14n+4+14n

8n−20=4

Add 20 to both sides.

8n−20+20=4+20

8n=24

Divide both sides by 8.

8n/8 = 24/8

n=3

7 0
3 years ago
Read 2 more answers
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