100 points and marked as brainliest if you answer these.
question 1. describe how the problem 24,000 ÷ 50 without a calculator and without just dividing 24,000 by 50. then find the answer. (is there a shortcut? ) make sure to be specific in your explanation. this may include showing how you did this and telling why it works)
question 2. add the following decimals by hand. make sure to show your work. (this would involve borrowing or carrying, and anything else you must do with the decimal, hint hint! )
a. 6.7 + 4.4

b. 21.93 + 6.8

question 3. a. before you can subtract these two decimals, what must you do?

(you are not solving, you are telling me what you need to do before you can solve by hand)
10.64 - 8.5

question 4. a. use vocaroo (or write a detailed explanation in complete sentences) to explain how to solve this problem as if you were explaining to a student who didn't understand how to subtract using borrowing. verbally explain all of your steps and
b. show your work that goes along with your explanation and your answer. (showing work would include the borrowing marks)

question 5. a. write an expression that represents how to find the answer to the problem below. b. then, show all of your work, by hand, to solve your expression.
state your answer in a complete sentence, making sure to answer the question!
you are working as an assistant to an astronomer. the astronomer has asked you to answer the following question. the star alpha centauri is 4.3 light-years away from earth. the star betelgeuse is about 121 times as far away from earth as alpha centauri. about how light-years away from earth is betelgeuse

Step-by-step explanation:1. Sure.  What you are looking for is a way to reduce both 24000 and 50 by the same factors until the 5 becomes a 1.  In which case whatever 24000 becomes is your answer.

When 50 is reduced to 1 that's the end point because we are saying 1 unit of whatever the 50 represents contains nnn units of that other number.  nnn is the answer.

So first of all we can reduce both numbers by a factor of 10 to get 2400 and 5.  Now we reduce both by a factor of 5 to get 480 and 1.  And there's your answer 480.  ANS.  2. A       all i know hope this helps luv

Step-by-step explanation:1. Sure.  What you are looking for is a way to reduce both 24000 and 50 by the same factors until the 5 becomes a 1.  In which case whatever 24000 becomes is your answer.

When 50 is reduced to 1 that's the end point because we are saying 1 unit of whatever the 50 represents contains nnn units of that other number.  nnn is the answer.

So first of all we can reduce both numbers by a factor of 10 to get 2400 and 5.  Now we reduce both by a factor of 5 to get 480 and 1.  And there's your answer 480.  ANS.  2. A       all i know hope this helps luv

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

hm let me think hm think think hm think yes