Meg skateboards One-fourth of a mile in One-half of an hour. At this rate, how far will she skateboard in an hour?
2 answers:
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Answer:
Step-by-step explanation:
given,
initial price of buzz stock = $ 20 per share
after 20 days
stock price = $30 per share
after 40 days
the price = $35 per share
let say it is modeled by
y = ax² + b x + c
x = number of days
y = stock price
x = 0 y = 20
20 = a x 0 + b x 0 + c
c = 20
x = 20 y = 30
30 = 20² a + 20 b + 20
400 a + 20 b = 10...........(1)
x = 40 y = 35
35 = 40² a + 40 b + 20
1600 a + 40 b = 15...........(2)
solving equation (1)and (2)
a = - 1/160
b = 5/8
hence , the above equation is multipart function
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.