You have the correct sequence of reasons
Here's what the full step by step picture looks like
3.25(1.25x + 0.5) = 10.5 ................ given
4.0625x + 1.625 = 10.5 ................ distributive property
4.0625x = 8.875 ................ subtraction property of equality
x = 2.18461538461539 ....... division property of equality
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Notes:
- The decimal value of x is approximate. Round it however you need.
- In the third step, we subtracted 1.625 from both sides
- In the fourth step, we divide both sides by 4.0625
22 increases by 0.9
24 increases by 4 and 1/2
25 increases by 4.3
Just subtract the number from the number after it to find how to find the next numbers in the sequence
Answer:
14 numbers.
Step-by-step explanation:
Since -4 is in the negatives, we would go up on the number line until we reached positive 10. Which would therefore equal, 14.
Answer:
Option C - 9 AU
Step-by-step explanation:
To find : What is the average distance from Planet B to the star?
Solution :
According to kepler's law,
The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
i.e. 
We have given,
The average distance from the star to Planet A is 
AU.
It takes 432 Earth days for Planet A to orbit the star i.e. 
It takes 1,460 days for Planet B to complete an orbit i.e. 
Substitute the values in 
Taking root cube both side,
![\sqrt[3]{0.0875}=\frac{4}{S_2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.0875%7D%3D%5Cfrac%7B4%7D%7BS_2%7D)
The average distance from Planet B to the star is 9 AU.
Therefore, Option C is correct.
Answer:
x=20 and y=100
Step-by-step explanation:
Using vertical angles, angle 1 and 3 equal each other. Therefore, x=80/4. Then, by using the sum of angle 1 and 3, 160, and using vertical angles again, we can find angle 2, which is (360-160)/2.
