9514 1404 393
Answer:
72 +13n = 163
7 nights
Step-by-step explanation:
At 13 pages per night, Mario will read 13n pages in n nights. That plus the pages already read will total 163:
equation: 13n +72 = 163
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To solve this, we can subtract 72, then divide by the coefficient of n.
13n = 91 . . . . . . subtract 72 from both sides
n = 7 . . . . . . . . divide both sides by n
Mario read 7 nights.
4 and 2 are the porportions
A)4^(n+3)=8^14
2^(2×(n+3))=2^(3×14)
2^(2n+6)=2^42
2^2n=2^36
n=18
b) (assuming a : is divide)
3^(2n+1)=9^17/3^3
3^(2n+1)=3^(2×16)/3^3
3^(2n+1)=3^29
3^2n=3^28
2n=28
n=14
d) (6^n)^4×36=216^10
6^4n×6^2=6^(3×10)
6^(4n+2)=6^30
6^4n=6^28
4n=28
n=7
e)7^(n^2)÷7=49^24
7^(n^2-1)=7^(2×24)
7^(n^2)=7^49
n^2=49
n=7
g)15^(n+4)÷5^(n+4)=81^6
3^(n+4)×5^(n+4)÷5^(n+4)=3^(4×6)
3^(n+4)=3^24
n=20
h)81^n÷9^n+9^(n+2)÷9=90÷9^6
9^2n÷9^n+9^(n+2)÷9=9*10/9^6
9^n+9^(n+1)=10/9^5
I don't know where to go from here
I)what?
Hello!
To solve this, we must solve the equation..
(^4√5³)^(1/2) = 1.82...
It can't be A because 5^6 = 15625
It can't be C because 5^16/3 = 5343.67...
It can't be D because 5^2/3 = 2.92...
It can be B because 5^3/8 also equals 1.82...
So, (^4√5³)^1/2 = 5^3/8.
Hope this helps! ☺♥