Answer:
x ≈ 1091.63
Step-by-step explanation:
Using the rule of logarithms
x = n ⇔ x = 
note that ln x is to the base e
Given
ln(x + 5) = 7, then
x + 5 =
( subtract 5 from both sides )
x =
- 5 ≈ 1091.63 ( nearest hundredth )
9/21 because it can still be reduced to 3/7
Answer:
2/3
Step-by-step explanation:
If we have 'x' students who like math and 'y' students that like science, we can formulate that:
Half of x likes math and science, and also one third of y likes math and science, so:
(1/2) * x = (1/3) * y
x / y = (1/3) / (1/2)
x / y = (1/3) * 2 = 2/3
So the ratio of the number of students who like math to the number of students who like science is 2/3
Let sum of 3 numbers be x.
Average of 3 numbers and 8 =

25 =

100 = x +8
x= 92.
The sum of 3 numbers is 92.
Answer:
a. A customer earns 1 free night per 10 nights stayed.
Step-by-step explanation:
The missing function is:
f(x) = x/10
The missing options are:
<em>
a. A customer earns 1 free night per 10 nights stayed. </em>
<em>
b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.
</em>
<em>
c.A customer earns x – 10 free nights for every 10 nights stayed. </em>
<em>
d. A customer earns 10 free nights after x number of nights stayed.
</em>
The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:
f(10) = 10/10 = 1
which means 10 nights are equivalent to 1 free night.