What kind of soup needs milk? I don't know any...
anyway, the amount of the liquid at the end was 2 5/8 and milk was 1 1/3 - we need to substract the amount of milk from the amount of total liquid afterwards:
![2 \frac{5}{8} -1 \frac{1}{3}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B5%7D%7B8%7D%20-1%20%5Cfrac%7B1%7D%7B3%7D%20)
bring the fraction to the same form:
![2 \frac{15}{24} -1 \frac{8}{24}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B15%7D%7B24%7D%20-1%20%5Cfrac%7B8%7D%7B24%7D%20)
substracting:
![1 \frac{7}{24}}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B7%7D%7B24%7D%7D%20)
which is also the answer
Answer:
r= -5 , r= 17
Step-by-step explanation:
5|-6+r|=55
solve for 'r'
First we isolate absolute function
We divide both sides by 5
|-6+r| = 11
for absolute function we consider two cases, one with positive and one with negative. Now we make two equations
-6+r = 11 or -6+r = -11
Now solve both equations
-6 + r= 11
Add 6 on both sides
so , r= 17
-6 + r= -11
add 6 on both sides , so r= -5
The average interest gained from three accounts in one year is $913.224
<u>Explanation:</u>
Given:
Bank A:
Principal, P₁ = $250.67
Rate, r₁ = 12 %
Bank B:
Principal, P₂ = $765.13
Rate, r₂ = 7 %
Bank C:
Principal, P₃ = $28500.36
Rate, r₃ = 9 %
Interest from Bank A:
![Interest = \frac{p X r X t}{100}\\\\I = \frac{250.67 X 12 X 1}{100} \\\\I = 30.0804](https://tex.z-dn.net/?f=Interest%20%3D%20%5Cfrac%7Bp%20X%20r%20X%20t%7D%7B100%7D%5C%5C%5C%5CI%20%3D%20%5Cfrac%7B250.67%20X%2012%20X%201%7D%7B100%7D%20%5C%5C%5C%5CI%20%3D%2030.0804)
Interest from Bank B:
![Interest = \frac{p X r X t}{100}\\\\I = \frac{765.13 X 7 X 1}{100} \\\\I = 53.5591](https://tex.z-dn.net/?f=Interest%20%3D%20%5Cfrac%7Bp%20X%20r%20X%20t%7D%7B100%7D%5C%5C%5C%5CI%20%3D%20%5Cfrac%7B765.13%20X%207%20X%201%7D%7B100%7D%20%5C%5C%5C%5CI%20%3D%2053.5591)
Interest from Bank C:
![Interest = \frac{p X r X t}{100}\\\\I = \frac{28500.36 X 9 X 1}{100} \\\\I = 2565.0324](https://tex.z-dn.net/?f=Interest%20%3D%20%5Cfrac%7Bp%20X%20r%20X%20t%7D%7B100%7D%5C%5C%5C%5CI%20%3D%20%5Cfrac%7B28500.36%20X%209%20X%201%7D%7B100%7D%20%5C%5C%5C%5CI%20%3D%202565.0324)
Average interest gained from three accounts in one year :
![I = \frac{30.0804+53.5591+2656.0324}{3} \\\\I = 913.224](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B30.0804%2B53.5591%2B2656.0324%7D%7B3%7D%20%5C%5C%5C%5CI%20%3D%20913.224)
Therefore, average interest gained from three accounts in one year is $913.224
$20 - $6 =$14
Therefore, you spent $14 dollars on seven tickets.
14/7=2
You spent two dollars on each ticket.