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tensa zangetsu [6.8K]
3 years ago
8

Which expression is equivalent to 5^4(5^-^3)^2? 5^1 5^2 1/5^1 1/5^2

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

1 5th  ^2.

Step-by-step explanation:

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Answer:

There are 68 students in the class after these changes.

Step-by-step explanation:

g = number of girls

b = number of boys

Because the ratio of girls to boys is 3:1, initally the equation was  

g = 3b                

Finally, we have

g-1 girls because one girl dropped the class

b+3 boys because three more boys signed up

Because the new ratio of girls to boys is 5:2, the new equation is  

(g - 1)/(b + 3) = 5/2

Cross multiply.

2(g - 1) = 5(b + 3)

2g - 2 = 5b + 15

2g - 5b = 17          

Then, substitute g (which is 3b because the first equation was g = 3b)

2(3b) - 5b = 17

b = 17

g = 3b = 3*17 = 51

g = 51

The final number of students in the class = 17 + 51 = 68

Answer: 68

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