Answer:20 pints of blue paint and 8 pints of yellow paint
Step-by-step explanation:
5 pints of blue and 2 pints of yellow make 7 pints of green. (5 + 2 = 7)You must do this four times to get 28 pints of green. (4 · 7 = 28)So you need 20 (4 · 5) pints of blue and 8 (4 · 2) pints of yellow.
Using logarithmic laws: log(a) + log(b) = log(ab)
log₄ (x + 9) + log₄ (x + 21) = log₄ [(x + 9)(x + 21)] = 3
Since we want the equation in terms of x, the next intuitive step is take 4 to the power of both sides, because the left hand side will simplify easily.



Solving the quadratic we get:



BUT, for the logarithmic equation to be defined, x > -9, so x≠ -25
Thus, the only solution is x = -5.
Answer:
D. 4
Step-by-step explanation:
Without actually solving the equation, recall that for
, there are two cases:

In the given equation
, there are two pairs of absolute value symbols.
Since each has two cases, there must be a total of
different equations created.
All four cases are:

Exponents differ, hence clearly there are four possible solutions to this equation.
You can solve for all four values of
by taking the log of both sides and using a bit of algebra to verify you have four solutions.
The capacity is the same as the amount because it refers to the amount of what is inside the object. Lets say you have a bag of chips it refers to the amount inside the bag of chips.