Answer:
You typically apply the same rules as you would for 'regular' fractions.
So you can multiply numerator and denominator by the same value if needed. If you want to add fractions you must make sure the denominators are the same, etc.
The value you multiply by can be an algebraic expression.
Step-by-step explanation:
I'll help you darling
a. B
b. 2.6 + x = 10.4
c. x = 10.4 - 2.6
= 7.8
d. This is to say before mia added the 2.6 litres of what the pitcher contained 7.8 litres of water already
Answer:
$140.00
Step-by-step explanation:
22 students x $5.00 + $30
22 x $5.00 = $110.00
$110.00 + $30.00 = $140.00
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is 
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is 
. Since function is reflected about x-axis, so our function will be 
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .
Answer:
x = 12 hours
Step-by-step explanation:
If one pipe fills store pool in 12 hours in 1 hour will fill 1/12 of the pool
If one pipe fills a store pool in 6 hours in 1 hour will fill 1/6 of the pool
Let call " x " number of hours needed by the third pipe to fills the pool
then in 1 hour will fill 1/x
The three pipes working together in 1 hour will fill
1/12 + 1/6 + 1/x
Now we know that the three pipes take 3 hours to fill the pool then in 1 hour three pipes will fill 1/3 of the pool, therefore
1/12 + 1/6 + 1/x = 1/3
( x + 2*x + 12) /12*x = 1/3 ⇒ ( 3*x +12 )/ 12*x = 1/3
9*x + 36 = 12*x
- 3*x = - 36
x = 36/3
x = 12 hours
