0.4 is the first one
0.4 is also the second one
Answer:
a : b = 25 : 9
Step-by-step explanation:
(3a - 5b) : (3a + 5b) = 1 : 4
Product of extremes = product of means
(3a - 5b) *4 = (3a +5b) * 1 {Distributive property}
3a * 4 - 5b*4 = 3a + 5b
12a - 20b = 3a + 5b
Add 20b to both sides
12a = 3a + 5b + 20b
12a = 3a + 25b
Subtract 3a from both sides
12a - 3a = 25b
9a = 25b

a:b = 25 : 9
Answer:
There are 604,800 possible permutations.
Step-by-step explanation:
The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
7 digits from a set of 10(10 digits to 0-9). So

There are 604,800 possible permutations.
Mars<span> and Earth orbit the </span>sun<span> at different speeds: Earth has an inside track and gets around the sun more quickly. Plus, both have elliptical orbits, rather than perfect circles. So the distance to Mars from Earth is constantly changing. In theory, the closest the planets could come together would be when Mars is at its </span>closest point<span> to the sun (</span>perihelion) and Earth is at itsfarthest point<span> (</span>aphelion<span>). In that situation, the planets would be 33.9 million miles (54.6 million kilometers) from each other. But that has never happened in recorded history. The closest known approach was 34.8 million miles (56 million km) in 2003 ....... :D!
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(ab + 174)/3 <115
multiply by 3 on each side
ab + 174 < 345
subtract 174 from each side
ab < 171
248+ ab >366
subtract 248 from each side
ab> 118
Answer 118< ab < 171