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aleksandr82 [10.1K]
4 years ago
14

Express 0.64 as a fraction in lowest term? A. 64/10 B.5/32 C.4/5 D.16/25

Mathematics
1 answer:
Elanso [62]4 years ago
5 0

In its decimal form, it says  ' 64 / 100 '.

In order to change it to its lowest terms, we look to see whether the
numerator and denominator have a common factor greater than ' 1 '. 
If they do, then we can divide numerator and denominator by their
common factor, and have the same fraction in lower terms.

The common factors of  64  and  100  are  1,  2, and  4 .
We could divide top and bottom by 2, but that wouldn't finish the job. 
It's always best to divide them by their <u>greatest</u> common factor, and
once you do that, you're done.

Dividing the numerator and denominator both by  4,
we get the fraction in its lowest terms:

         0.64  =  64/100  =  <em>16/25</em>


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The ratio x : x + 1 is equal to 1 : 2. Find the value of x .
NISA [10]

Answer:

x = 1

Step-by-step explanation:

   x         1

-------- = ----

 x + 1      2

Begin the solution by multiplying both sides by the LCD, which is 2(x + 1):

 2x = 2(x + 1)/2, or

2x = x + 1, or

x = 1

                    1

Check:  is -------- = 1/2?  

                  1 + 1

YES

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3 years ago
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Vlad1618 [11]
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3 years ago
The equation -3(1+x) = -3x + 1 has no solutions. Show algebraically why this is true, and explain your reason
KiRa [710]
−3(1+x)=−3x+1
Step 1: Simplify both sides of the equation.
−3(1+x)=−3x+1
(−3)(1)+(-3)(X)=-3x+1
(Distribute)
−3+ −3x=−3x+1
−3x−3=−3x+1
Step 2: Add 3x to both sides.
−3x−3+3x=-3x+1+3x
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Step 3: Add 3 to both sides.
−3+3=1+3
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Answer:
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5 0
3 years ago
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keisha spent 45 minutes at soccer practice on Monday and n minutes on Tuesday. Write an experession that repersents the number o
levacccp [35]

Answer:

45+n

Step-by-step explanation:


6 0
3 years ago
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The length of the shortest side of a right triangle is 8. The lengths of the other two sides are represented by two consecutive
Alexandra [31]

Answer: the 2 integers are 15 and 17

Step-by-step explanation:

Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer

When a right angle triangle is formed, it means that

Hypotenuse² = opposite side² + adjacent side²

If the shortest side is 8, it means that

x² = (x - 2)² + 8²

x² = x² - 2x - 2x + 4 + 64

x² - x² + 2x + 2x = 68

4x = 68

x = 68/4 = 17

Therefore, the length of the other leg is

x - 2 = 17 - 2 = 15

7 0
4 years ago
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