Point b lies on the segment ac . Find the length of the segment ac, if ab=7.8 cm, bc=25mm. How many different solutions can this
1 answer:
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Answer:
200 resource books
800 fiction books
400 nonfiction books
Step-by-step explanation:
Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.
We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.
We just need to find out the value of x.
We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.
Written in math language, that is
x + 4x + 2x = 1,400
7x = 1,400
We divide by 7 on both sides and we get
7/7x = 1,400/7
x = 200
Now we replace the x with 200 to know how many books he has of each type:
Resource books = x = 200
Fiction books = 4*x = 4*200 = 800
Nonfiction books = 2*x = 2*200 = 400
Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.
The tape diagram is attached as an image.
Answer:
x≥2
Step-by-step explanation:
First, write out the equation as you have it:
Then, add to both sides:
Next, subtract from both sides:
Finally, divide both sides by :
or
Therefore: the answer to this inequality/equation is: x≥2
Answer:
4xy See image.
Step-by-step explanation:
Remember for division questions to use Keep, Change, Flip. You will Keep the first term the same. Change the divide to times. And Flip the second term (turn it upside down, in math this is called the reciprocal)
Also, you need to know when you you get to the part where everything is times, then you times: top×top, and bottom×bottom.
Once everything is times, you can rearrange the order and cancel (cancel is not really the mathy thing happening, you are dividing---
x/x is 1 and y/y is 1,
10/5 is 2, 6/3 is 2) See image.
