94
(85+89+92+x)/4 = 90
(266+x)/4 = 90
(Multiply by 4 on each side to get rid of it)
266+x=360
(subtract 266 from each side)
x = 94
Answer:
explain
Step-by-step explanation:
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The speed of the boat will be 10 mph in still water
1. Write out the problem: 3x+12/3
2. Find the common factor: 3(x+4)/3
3. Cancel out the threes.
4. Once you cancel them out you get: x+4
Hope I could help. Have a great day!:-)))
Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
