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Rudik [331]
4 years ago
5

Trina brings 6 cubic yards of compost for planting the trees. Each tree needs to be planted with 1/6 cubic yards of compost

Mathematics
1 answer:
kumpel [21]4 years ago
8 0
If the question is asking how many trees can be planted with 6 cubic yards of compost, here is the solution.

6 divided by 1/6 means to take 6 wholes and break them into groups the size of 1/6.

One whole can be broken into 6 groups of 1/6 (6/6), so 6 wholes can be broken into 36 groups of 1/6 (6 x 6 = 36/6).

Mathematically, you will multiply 6 by 6/1  to get the 36.

You can plant 36 trees with 6 cubic yards of compost.
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The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

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.

8 0
3 years ago
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Ede4ka [16]

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

6 0
3 years ago
What is the relationship between decimals and fractions
umka2103 [35]
A fraction you are dividing while a decimal is considered as a number
7 0
3 years ago
Help please!! Based on Pythagorean identities, which equation is true ??
alexgriva [62]

Answer:

Last answer: cot^{2} \alpha  - csc^{2} \alpha  = -1

sorry couldn't find theata so I just used alpha.

4 0
3 years ago
Which of the following expressions is equivalent to the logarithmic
olga nikolaevna [1]
I’ll say C because they’re the same terms as in In so
In 7 + In 5 would be In 12
You only add 7 and 5 which 12 so that’s where the 12 comes from
Hope that helped :)
3 0
3 years ago
Read 2 more answers
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