Answer:
x = 6
Step-by-step explanation:
2x + 3 = 4x + -9
2x + 3 = 4x - 9
-2x -2x
3 = 2x - 9
+9 +9
12 = 2x
6 = x
Answer:
129
Step-by-step explanation:
Answer:
Years = natural log (Total / Principal) / Rate
Years = natural log (1,000,000 / 2,500) / .02
Years = natural log (400) / .02
Years = 5.9914645471 / .02
It would take 299.573227355 Years
Source: http://www.1728.org/rate2.htm
Step-by-step explanation:
Let's imagine the integers are a, b, and c. Since we know the sum of these numbers is 50 more than the smallest (which is a), our equation would look like this:
a + b + c = a + 50
We need a common variable, though, which we don't have right now. Since we know that these are 3 consecutive <em>even </em>integers, we know that:
b = a +2, which means that the second number is 2 more than the first number.
Using that same logic, we know that c = b +2 and since we know what b equals, we can sub that into this:
c = b + 2
c = (a + 2) + 2
c = a +4
So now instead of having this:
a + b + c = a + 50
We have this:
a + (a + 2) + (a + 4) = a + 50
3a + 6 = a + 50
Subtract a + 6 from both sides:
3a + 6 - (a + 6) = a + 50 - (a + 6)
2a = 44
Divide both sides by 2
2a/2 = 44/2
a = 22
The smallest integer is 22 which means the set would be:
22, 24, and 26
Answer:
48
Step-by-step explanation:
The fraction who picked apples is the rest of the students:
1 - 5/8 = 3/8
of them.
So the number who picked apples relative to the number who picked bananas is ...
apples/bananas = (3/8)/(5/8) = 3/5
Multiplying this by the number who picked bananas gives the number who picked apples:
apples = bananas · 3/5 = 80·3/5 = 48
48 students picked apples.
____
<em>Alternate solution</em>
Let "a" represent the number who picked apples. The ratio of banana choosers to the total is 5/8, and there were 80 who chose bananas. That gives rise to the equation ...
80/(80 +a) = 5/8
640 = 400 +5a . . . . . . multiply by 8(80+a) and simplify
240 = 5a . . . . . . . . . . . subtract 400
240/5 = a = 48 . . . . . . divide by 5
48 students picked apples.
