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swat32
3 years ago
15

Solve the following equation and then check your solution. Show all of your work.

Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

x=17

Step-by-step explanation:

First, Isolate the variable x by transposing it.

24-3x=-27

-3x=-27-24

Add the equation.

-3x=-51

Simplify x by multiplying both sides by 1/-3.

-3x/-3= -51/3

x=17

Wittaler [7]3 years ago
3 0

Answer:

X =17

Step-by-step explanation:

24-3x = -27

collect like terms

-3x = -27 -24( crossing the = sign turns 24 negative)

-3x = -51

divide both sides by the coefficient of x

-3x/-3 = -51/-3( negative signs cancels each other out)

x = 17

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Barney's Book Store currently has 2000 books in stock. There are 3 times as many non-fiction books as fiction books. Determine t
xxMikexx [17]

Answer:

There are 1500 non fiction books and 500 fiction books currently in the store.

Step-by-step explanation:

Given:

Total Number of books = 2000

Let the number of fiction books be 'x'.

Now given:

There are 3 times as many non-fiction books as fiction books.

Number of non fiction books = 3x

We need to find the number of non-fiction and fiction books.

Solution:

Now we know that;

Total Number of books is equal to sum of the number of non-fiction and fiction books.

framing in equation form we get;

x+3x=2000\\\\4x=2000

Dividing both side by 4 we get;

\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books

Number of fiction books = 500

Number of non fiction books = 3x=3\times 500 =1500

Hence There are 1500 non fiction books and 500 fiction books currently in the store.

8 0
3 years ago
(HELP ME 15 PTS)
kap26 [50]

Answer:   \bold{\dfrac{27x^2y^3}{16}}

<u>Step-by-step explanation:</u>

\dfrac{(3x^2y^5)^3}{(2xy^3)^4}\\\\\\=\dfrac{3^3\cdot x^{2\cdot 3}\cdot y^{5\cdot 3}}{2^4\cdot x^4\cdot y^{3\cdot 4}}\\\\\\=\dfrac{27\cdot x^6\cdot y^{15}}{16\cdot x^4\cdot y^{12}}\\\\\\=\dfrac{27\cdot x^{6-4}\cdot y^{15-12}}{16}\\\\\\=\dfrac{27\cdot x^2\cdot y^3}{16}

8 0
3 years ago
A pond has 458 rosy red minnows, 212 white cloud minnows, and 277 goldfish. how many more minnows than goldfish live in the pond
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Answer:

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Step-by-step explanation:

add 458 rosy red minnows and 212 white minnows,you get 670.Subtract the 277 goldfish from the 670 minnows and you get 393

7 0
3 years ago
What is 2937082 in expanded form
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7 0
3 years ago
If CF = 10 in., what does ed equal?
vivado [14]
CF=EC=DC
2CF=CD
CD = 20 in.
3 0
3 years ago
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