Answer:
<em>(C).</em> <em>(t² - p)( </em>
<em> + pt² + p²) </em>
Step-by-step explanation:
a³ - b³ = (a - b)(a² + ab + b²)
- p³ = (t²)³ - p³ = <em>(t² - p)( </em><em> + pt² + p²)</em>
B - 4.2 < -7.5
subtract b and 4.2
less then sign is <
then <-7.5
Answer:
The mixtures are not proportional.
3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture.
its =3
Step-by-step explanation:
The one mixture contains 6 fluid ounces and 10 fluid ounces of water and vinegar respectively.
Therefore, the ratio of water to vinegar in the first mixture is 6 : 10 = 3 : 5
Now, a second mixture contains 9 fluid ounces of water and 12 fluid ounces of vinegar.
Hence, the ratio of water to vinegar in the second mixture is 9 : 12 = 3 : 4
Therefore, the mixtures are not proportional.
Therefore, we have to add x fluid ounces of vinegar to the second mixture to make it in the ratio of 3 : 5.
So,
⇒ 12 + x = 15
⇒ x = 3 fluid ounces.
Therefore, 3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture. (Answer
Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (
, 
) We can interpret the statement mathematically by means of the following expression:
Where 
, 
, 
.
This system is reduced to a single equation and solved afterwards:
Now we evaluate and to obtain the natural numbers:
262 and 263 are consecutive natural numbers whose sum is 525.
