Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:

And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
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Answer:
, the third one
Step-by-step explanation:
Explaining the sine function:
The sine function is defined by:

In which A is the amplitude,
is the period,
is the horizontal shift and V is the vertical shift.
So, in your problem:
The amplitude is 4, so A = 4.
The period is
, so
.
There is no horizontal shift, so
.
The vertical shift is −3, so V = -3.
The sine function that represents these following conditions is
, the third one
24 students because 0-4 is less than 5
Answer:
y-intercept equals 4 and the x-intercept is the fraction 10/3