A rational number is any number that can be expressed as a fraction
(ex: -5/2, 4 1/7, and 8/13)
An irrational number is any number that cannot be expressed as a fraction; a non-repeating, non-terminating decimal (ex: pi, 0.121231234...)
Hope this helps! :)
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
Answer:
9/4
Step-by-step explanation:
The divide symbol is also the line that separates the numerator and the denominator, so 45÷20 can also be written as 45/20.
We can see that both 45 and 20 are divisible by 5, so we can simplify the fraction down to 9x5/4x5, and then we cancel out the 5s and are left with 9/4
Answer:
Randy has eight $5 bills and nine $1 bills
Step-by-step explanation:
Randy needs $50.00
And we know that he his only $1.00 short, so he has $49.00
let's define:
x = number of $1 bills that he has
y = number of $5 bills that he has.
then:
x*$1 + y*$5 = $49
We know that he has one more $1 bills than $5 bills.
we can write this as
x = y + 1
So we have a system of two equations and two variables:
x*$1 + y*$5 = $49
x = y + 1
First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:
x*$1 + y*$5 = $49
(y + 1)*$1 + y*$5 = $49
now we can solve this for y.
y*$1 + $1 + y*$5 = $49
y*($1 + $5) = $49 - $1 = $48
y*$6 = $48
y = $48/$6 = 8
He has 8 $5 bills
and we know that:
x = y + 1
x = 8 + 1 = 9
he has 9 $1 bills.
So first, find out the total amount of money you make in 3 months.
If you make 1200 dollars a month, then in 3 months, you can make 3600 dollars. This is because 1 month salary + 1 month salary + 1 month salary = 3 month salary, and 1 month salary = 1200. So 1200 + 1200 + 1200 = 3600.
Since you're saving 2/5 of that, the simplest method to do this is to divide by 5, to find 1/5 of 3600, then multiply by 2 to find 2/5.
3600/5 = 720
720 * 2 = 1440
So you can save $1440 in three months.
