<u>Answer:</u>
The denominator of a fraction is 4 more than the numerator. The original fraction is ![\frac{27}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B31%7D)
<u>Solution:</u>
Given that
Denominator of fraction is 4 more than the numerator.
Let’s say numerator of fraction be represented by variable x.
So denominator of a faction as it is four more that numerator will be x + 4
Also given if both decreased by three than simplified result is ![\frac{6}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B7%7D)
![=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}](https://tex.z-dn.net/?f=%3D%3E%5Cfrac%7B%28x-3%29%7D%7B%28%28x%2B4%29-3%29%7D%3D%5Cfrac%7B6%7D%7B7%7D)
Solving above equation for x
=> 7(x – 3 ) = 6 ( x + 1 )
=> 7x – 21 = 6x + 6
=> 7x – 6x = 6 + 21
=> x = 27
Numerator of fraction = x = 27
Denominator of fraction = x + 4 = 27 + 4 = 31
![\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}](https://tex.z-dn.net/?f=%5Ctext%20%7Brequired%20fraction%7D%3D%5Cfrac%7B%5Ctext%20%7Bnumerator%7D%7D%7B%5Ctext%20%7Bdenominator%7D%7D)
![= \frac{27}{31}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B27%7D%7B31%7D)
Hence the original fraction is ![\frac{27}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B31%7D)
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Answer:
the shape isnt angled thats what it means
Step-by-step explanation:
Answer:
<u>x= 4 2/3 </u><em><u>OR</u></em><u> 14/3 </u><em><u>OR</u></em><u> 4.6... –– 4 2/3 and 4.6... are the simplest form.</u>
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
<u>4 2/3, 14/3, 4.6... = x</u>
Answer:
h(-67) = 3158
General Formulas and Concepts:
Order of Operations: BPEMDAS
- Substitution and Evaluation
Step-by-Step Explanation:
Step 1: Define
h(x) = -49x - 125
h(-67)
Step 2: Solve
1. Substitute: h(-67) = -49(-67) - 125
2. Multiply: h(-67) = 3283 - 125
3. Subtract: h(-67) = 3158