Answer:
See below
Step-by-step explanation:
You need to create an equation that will give you the results with the correct units of measurement that they are asking for. In the first question, they are asking you to give the answer in seconds. So when you set up your equation, seconds have to be on the top. The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it. Then it's easier to set up the equation as below. The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power. Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number. This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.
1 sec 2300 x 10⁸ m
-------------- X -------------------- =
3 x 10⁸ m 1
When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out. So you can drop the exponent all together and just divide the top number by the bottom number 2300 ÷ 3 which equals 766 seconds.
The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars. By subtracting those two, it will tell you how far Mars is from the Earth. You can change the numbers a little bit to make it easier on you. Again you want the exponent for both numbers to be the same to make it easier. When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.
The distance between the Sun and Mars is 23 with 10 zeros after it. So that is the same as writing 23 x 10¹⁰. The distance from the Sun to Earth is said to be 1.5 x 10¹¹ but that is a different exponent. So if you move the decimal on this number one place to the right, it will be 15 x 10¹⁰. Now you can easily subtract those numbers without worrying about the exponent since they are the same.
23-15 =8 but now you have to put the exponent back on. So your answer ends up being
8 x 10¹⁰ or 8 with 10 zeros or 80,000,000,000 meters.
Answer:
10
Step-by-step explanation:
because 40 can go into 400 ten times
also if you do it on long division you will do 10 times 40 is 400
For this case we have the following equation, in a linear way:
This expression can be written in the form 
Where "m" is the slope and "b" is the cut point with the y axis.
Rewriting the given expression we have:
Thus, the slope is 3 and the cut point is -5.
To graph, we must find two points through which the line passes, so, we perform the following steps:
Step 1:
We do 
Thus, the point 
Step 2:
We do
Thus, the point 
Answer:
See attached image
Answer:
The number must be 30.
Step-by-step explanation:
The mystery number is less then 40.
You say its name when you start at 3 and count by 3s. This means that it is a multiple of 3.
You say its name when you start at 5 and count by 5s. This means that it is a multiple of 5.
The only two numbers that are multiples of 3 and 5 and less than 40 are 15 and 30.
Since we have been told that the number is not 15, the number must be 30.
