A father and his daughter are interested in the same baseball game. The father sits next to his radio at home and listens to the
1 answer:
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Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:
Then the total amount of pure fruit juice in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:
+
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We substitute the value of A into one of the two equations and solve for B.
Answer:
D) 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
The line: has a slope of
as it is in y=mx+b form, where m is the slope, and b is the y-intercept.
Since the slope is , we see that the negative reciprocal slope is
, as
is the reciprocal (flip the numerator and denominator).
From here, we can use point slope form: , where
is the point. In this case, (3, 1) is the point.
Thus, we have: as our final equation.
Simplifying:
And: , which gives us the y-intercept to be 5.
Let me know if this helps!