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Kay [80]
3 years ago
9

Easy variable question pls help

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})

2. Simplify

\frac{32}{5(2z-1)} = \frac{8}{3z+1}

3. Cross multiply

32(3z+1) = 5(2z-1) * 8

4. Simplify again (distributive property)

32(3z+1) = 40(2z-1)

5. Distributive property

32(3z+1) -> 96z+32  

40(2z-1) -> 80z-40

96z+32=80z-40

6. Subtract 32 from both sides

96z+32-32 = 80z-40-32

7. Simplify

96z = 80z-72

8. Subtract 80 from both sides

96z-80z=80z-72-80z

9. Simplify

16z=-72

10. Divide both sides by 16

\frac{16z}{16}=\frac{-72}{16}

11. Simplify

z=-\frac{9}{2} -> also = -4\frac{1}{2}

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

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7 0
1 year ago
What is 41/4 as a mixed number
lord [1]
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6 0
3 years ago
Factoring, Algebra<br> There are two questions :v
kykrilka [37]

Answer:

Step-by-step explanation:

One

v^2 - 16

This formation is called the difference of squares. That's because there are 2 squares v^2 and 16. The key to this question is the minus sign.

The square root of v^2 = v

The square root of 16 = 4

You get (v + 4)(v - 4)

Let's see what happens when you expand it.

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Look what happens when you add these 4 terms together.

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Two

This one is a perfect square

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Notice both factors are the same. You might wonder how I new that.

w^2 is a perfect square so take the square root.  ....   v      

64 is a perfect square so take the square root    .....    8

Now you have to work backwards to see if it is right.

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Adding you get w^2 + 16w + 64 which is what you started with.

6 0
3 years ago
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7 0
3 years ago
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faltersainse [42]
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