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podryga [215]
4 years ago
13

8 - 2(3х – 1) = x+ 9?

Mathematics
1 answer:
avanturin [10]4 years ago
4 0

Answer:

x=1/7 or 0.14

Step-by-step explanation:

first you distribute: 8-6x+2=x+9

next combine like terms (8 and 2): -6x+10=x+9

then subtract 1x from both sides: -7x+10=9

then subtract 10 from both sides: -7x=-1

divide both sides by -7: x=1/7 or 0.14

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Nine and one-half less than four and one-half times a number is greater than 62. 5. Which of the following represents the soluti
olga2289 [7]

Solution set for a statement is a set of values which satisfy the given statement. The solution set for given condition is:  (16, positive infinity)

<h3>How to find the solution set for a given problem?</h3>

Solution set is the set of values of unknown variable for which the given mathematical statement holds true.  

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the mathematical statement given is

4\dfrac{1}{2} \times x - 9\dfrac{1}{2} > 62.5

(where that unknown number was assumed to be 'x', and we used "less than" phrase as subtraction and 'greater than' as >)

Converting mixed fractions to normal fractions, we get the statement as:

\dfrac{9}{2}x - \dfrac{19}{2} > 62.5\\\\\text{Adding 9.5 on both sides(as 19/2 = 9.5)}\\\\\dfrac{9}{2}x > 62.5 + 9.5\\\\\text{Dividing both sides by 4.5 (as 9/2 = 4.5 and we want to isolate x on one side}\\\\x > 16

Thus, for all values of x bigger than 16, the given statement is true.


Thus,  The solution set for given condition is:  (16, positive infinity)

Learn more about solution set here:

brainly.com/question/24682253

5 0
3 years ago
A kitchen floor measures 9 feet by 12 feet. The owner wants to lay 18-inch by 18-inch ceramic tile to completely cover the floor
Dmitry [639]
Area of floor = 9x12
= 108

Area of tile= 1.5x1.5= 2.25 (that's in feet)

108/2.25= 48 tiles
3 0
4 years ago
Read 2 more answers
Loga2=0.3812, loga3=0.6013, and loga5=0.9004
Bogdan [553]
<span>loga (2) = 0.3812
</span><span>loga (3) = 0.6013
</span><span>loga (5) = 0.9004
</span><span>and we should know that loga a = 1
</span>
∴ loga (30a)³ = 3 loga (30a)   = 3 loga (2 * 3 * 5 * a)                                                     = 3 ( loga 2 + loga 3 + loga 5 + loga a )   = 3 ( <span>0.3812 + 0.6013 + 0.9004 + 1 )
</span>                     = 3 * 2.8829    = 8.6487
The correct answer is option  <span>C. 8.6487</span>              


3 0
4 years ago
(3n-2)(4n+1)<br> how do i solve this by factoring?
Anni [7]

Answer:

12n^2-5n-2

The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.

Step-by-step explanation:

Part I

.1. (3n-2)(4n+1)\\2. F.O.I.L.: 12n^2+3n-8n-2\\3. Simplify: 12n^2-5n-2\\

Good luck to you!

8 0
3 years ago
What is the midpoint of (-1,-6), (-6, 5)​
kirill115 [55]
<h3>Answer:</h3><h3>-3.5,-0.5</h3>

Step-by-step explanation:

6 0
4 years ago
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