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![1 \frac{1}{6} = \frac{6}{6} + \frac{1}{6} = \frac{7}{6} \\ Basically:1 \frac{1}{6} = \frac{7}{6} \\ \frac{7}{6} / 7 \\ \frac{7}{6} / \frac{7}{1} \\ \frac{7}{6} * \frac{1}{7} \\ \frac{7*1}{6*7} \\ \frac{7}{42} \\ \frac{1}{6}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B6%7D%7B6%7D%20%2B%20%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B7%7D%7B6%7D%20%20%5C%5C%20Basically%3A1%20%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B7%7D%7B6%7D%20%20%5C%5C%20%20%5Cfrac%7B7%7D%7B6%7D%20%2F%207%20%5C%5C%20%20%5Cfrac%7B7%7D%7B6%7D%20%2F%20%20%5Cfrac%7B7%7D%7B1%7D%20%20%5C%5C%20%20%5Cfrac%7B7%7D%7B6%7D%20%2A%20%5Cfrac%7B1%7D%7B7%7D%20%20%5C%5C%20%20%5Cfrac%7B7%2A1%7D%7B6%2A7%7D%20%20%5C%5C%20%20%5Cfrac%7B7%7D%7B42%7D%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B6%7D%20)
The answer is a.) 1/6 cup
Step One: Make 1 1/6 an improper fraction
Step Two: Write equation
Step Three: Make the whole number (7) a fraction by putting it over one
Step Four: Divide 7/6 by 7/1
Step Five: Slip 7/1 for the reciprocal, 1/7
Step Six: Multiply the two fractions
Step Seven: Simplify
Hope this helps!
Answer:
72.25 ft
Step-by-step explanation:
The function that models the height of the ball is
![h(t) = 68t - 16 {t}^{2}](https://tex.z-dn.net/?f=h%28t%29%20%3D%2068t%20-%2016%20%7Bt%7D%5E%7B2%7D%20)
The maximum height occurs at:
![t = - \frac{b}{2a}](https://tex.z-dn.net/?f=t%20%3D%20%20-%20%20%5Cfrac%7Bb%7D%7B2a%7D%20)
![t = - \frac{68}{2 \times - 16} = \frac{68}{32} = 2.125](https://tex.z-dn.net/?f=t%20%3D%20%20-%20%20%5Cfrac%7B68%7D%7B2%20%5Ctimes%20%20-%2016%7D%20%20%3D%20%20%5Cfrac%7B68%7D%7B32%7D%20%20%3D%202.125)
We substitute t=2.125 to get:
![h(2.125) = 68(2.125) - 16(2.125) ^{2}](https://tex.z-dn.net/?f=h%282.125%29%20%3D%2068%282.125%29%20%20-%2016%282.125%29%20%5E%7B2%7D%20)
![h(2.125) = 72.25](https://tex.z-dn.net/?f=h%282.125%29%20%3D%2072.25)
The maximum height is 72.25 feet
I'm a bit confused by the question but I think the answer is 72
Answer:
![r=3.8\%](https://tex.z-dn.net/?f=r%3D3.8%5C%25)
Step-by-step explanation:
we know that
The simple interest formula is equal to
![I=P(rt)](https://tex.z-dn.net/?f=I%3DP%28rt%29)
where
I is the interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
![t=(91/365)\ years\\ P=\$2,400\\ I=\$22.74\\r=?](https://tex.z-dn.net/?f=t%3D%2891%2F365%29%5C%20years%5C%5C%20P%3D%5C%242%2C400%5C%5C%20I%3D%5C%2422.74%5C%5Cr%3D%3F)
substitute in the formula above
![22.74=2,400(91/365)r](https://tex.z-dn.net/?f=22.74%3D2%2C400%2891%2F365%29r)
![22.74*365=2,400(91)r](https://tex.z-dn.net/?f=22.74%2A365%3D2%2C400%2891%29r)
![r=22.74*365/[2,400(91)]](https://tex.z-dn.net/?f=r%3D22.74%2A365%2F%5B2%2C400%2891%29%5D)
![r=0.038](https://tex.z-dn.net/?f=r%3D0.038)
![r=3.8\%](https://tex.z-dn.net/?f=r%3D3.8%5C%25)
Answer:
have 50 tickets is adult,30 is child.
Step-by-step explanation:
we can think all 80 tickets is adult
then80*6is 480,then use 480-420 equal 60
after that we use differen price 6-4=2
so 60/2=30 this child ticket
second we can 80-30=50 50is aduli ticket.
got it?
check:
50*6+30*4
=300+120
=480