A bag contains 30 red and blue marbles. If 19 are blue, what fraction of the marbles are blue?
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ANSWER
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EXPLANATION
The given polynomial is
where a=1,b=k, c=30
Let the zeroes of this polynomial be m and n.
Then the sum of roots is
and the product of roots is
The square difference of the zeroes is given by the expression.
From the question, this difference is 169.
This implies that:
We substitute the values of k into the equation and solve for x.
The zeroes are given by;
Answer:
Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
Step-by-step explanation:
To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:
Divide the fraction by to calculate the unit rate:
So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by :
×
Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
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Check your work by dividing by
to see if you will get your initial unit rate:
÷
Therefore, our solution is correct!