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Angelina_Jolie [31]
3 years ago
8

There are 6 bookshelf's that hold 72 books per shelf. if 1/3 of the total number of books are non-fiction,how many fiction books

are there.​
Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

288 fiction books

Step-by-step explanation:

If the other 2/3 are fiction, then I believe that you would multiply 72 by 6 then divide by 3 or multiply by 1/3 giving you 144. Multiply 144 by 2 and you should get 288, but this is if there are only fiction and non fiction. Sorry if this is wrong..

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7x-2y=16 11x+6y=32.3<br>how to solve this math problem​
Aneli [31]

Answer:

Step-by-step explanation:

These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.

We use substitution here because it is easier.

Equation 1

7x-2y=16

Equation 2

11x+6y=32.3

Lets take equation 1

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

This is our equation 3 , now put it inside equation 2.

11x+6y=32.3\\11(\frac{16+2y}{7} )+6y=32.3\\\frac{176+22y}{7} +6y=32.3\\\frac{176+22y+42y}{7}=32.3\\176+22y+42y=226.1 \\\\42y+22y=226.1-176\\64y=50.1\\y=\frac{50.1}{64} \\y=0.783\\

We found the value of y , now to find the value of x insert the value of y in equation 3

x=\frac{16+2y}{7}\\x=\frac{16+2(0.783)}{7} \\x=\frac{16+1.566}{7}\\x=\frac{17.566}{7}\\x=2.509

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.

6 0
3 years ago
Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2
ololo11 [35]
<h3>6w^2 +8w +4 is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

w^2 + 7w^2 + 8w -5+9-2w^2

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

w^2 + 7w^2 + 8w -5+9-2w^2

Group the like terms

w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4

Thus the given expression is simplified

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NeTakaya
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One way I set this word problem up is by using the equation 88-4x=8. X would stand for the amount of classmates in the class, 88 would stand for your total pieces of gum and 8 would stand for the remaining pieces left.

With the equation 88-4x=8 you want to subtract 88 from both sides to get the equation -4x=-80. Last you want to isolate x by dividing -4 on both sides to finally get x=20. 20 people in the class room.
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