Answer:
<em>- 4</em>
Step-by-step explanation:
( 3 - r ) / ( 1 + 5) = 7/6
= 
⇒ 3 - r = 7 ⇒ r = <em>- 4</em>
Hi there!
Amit's reasoning is incorrect because multiplying a positive number by a negative number results in a negative result. The question also says that it is a charge to his account, which means that money is being taken away. Therefore, Amit's reasoning is incorrect because the bank is taking away money from him and his equation results in a positive value, instead of negative.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
23:119
Step-by-step explanation:
all pens:
77 blue + 23 red + 15 pink + 4 purple
77 + 23 + 15 + 4 = 119
119 total pens
23 red / 119 total
23/119
23 is prime, so this cannot be simplified further
the ratio of red : total pens is 23:119
Answer:
A. x = 1/4
Step-by-step explanation:
Simplify the equation:
(3x^2+1)/(x-1) + x = 4 + 4/(x-1)
(3x^2+1-4)/(x-1) = 4-x
(3x^2-3)/(x-1) = 4-x
Since (3x^2-3) = 3(x^2-1) and x^2-1 = (x+1)(x-1), substitute 3x^2-3 for 3(x+1)(x-1)
3(x+1)(x-1)/(x-1) = 4-x
Cancel (x-1) from the numerator and denominator:
3(x+1) = 4-x
Isolate x:
3(x+1) = 4-x
3x+3 = 4-x
4x = 1
x = 1/4.
x = 1/4 is the only valid solution unless both sides being undefined would count as a valid equation, then x = 1 would also be valid.
