Answer:
The answer is B.
Step-by-step explanation:
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Let's represent the unknown number with Y
So it says 5 times the sum of Y plus 3 equals 8 times Y minus 9
That is represented as;
5(Y+3)=8Y-9
First of all, multiply 5 by what is in the bracket. That will be 5Y+15
(5 times Y is 5Y and 5 times 3 is 15)
Therefore;
5Y+15=8Y-9
Collect like terms. So -9 will go over the equality sign to become +9. The same applies to 5Y
15+9=8Y-5Y
24=3Y
Divide both sides by 3
24 divided by 3 is 8. So Y= 8
The number is 8 which is B
Circumference=diamter times pi
diamter=2 times radius
circumference=radius times 2 times pi
circunference=135.648
aprox pi to 3.14
subsitute
135.648=radius times 2 times 3.14
135.648=radius times 6.28
divide both sides by 6.28
21.6=radius
aswe ris radous=21.6 units
Answer:
The simplest form is 2(3x - 7)/x(x³ + 4)
Step-by-step explanation:
* Lets revise how can divide fraction by fraction
- To simplify (a/b)/(c/d), change it to (a/b) ÷ (c/d)
∵ a/b ÷ c/d
- To solve it change the division sign to multiplication sign and
reciprocal the fraction after the sign
∴ a/b × d/c = ad/bc
* Now lets solve the problem
∵ 
- Lets take the denominator and simplify by make it a single
fraction, let the denominator of it 2x and change
the numerator
∴ 
∴ The fraction = 
* Now lets change it by (up ÷ down)
∴
÷ 
- Change the division sign to multiplication sign and reciprocal
the fraction after the sign
∴
× 
∴ 
- We can simplify x up with x down
∴ 
* The simplest form is 2(3x - 7)/x(x³ + 4)