You will receive a free beverage and free desert on your 60th visit.
Beverage- 1, 2, 3, 4, 5, 6
Visits- 12, 24, 36 ,48 ,60
Desert- 1, 2, 3 ,4
Visits- 15, 30, 45, 60
Notice how for beverages at 60 visits you get your 6th drink for free, and for deserts, at you 60 visits you receive your 4 free desert.
So, since both numbers have the same number (60) of visits which is their common multiple between the 2, you answer is 60.
Answer:
The 80 p0und bag will last 128 days.
Step-by-step explanation:
In order to find out how much days the 80 pound bag last we have to divide the 80 pounds by the among that the dog eats each day. And so we get.....
80 / 
= 
= 
= 
= 128
Answer:
b= 0.9
Step-by-step explanation:
first you find angle B: 180-90-25=65
then you will do law of sine- sin A/a=sin B/b=sin C/c
sin(90)/1=sin 65/b
sin(90)*b=sin(65)*1
sin(90)*b=0.9
b=0.9/sin(90)
b= 0.9
Answer:
This is an exponential growth equation of the form:
f(t) = A*(r)^t
Where:
A is the initial quantity of something, suppose that is the population of some kind of animal
r is the rate of growth
t is the variable, usually represents a unit of time.
f(t) is the population of the animal at the time t.
For this question, we have the equation:
b(t) = 1200*(1.8)^t
And this represents the population of a kind of bacteria as a function of time.
a) 1200 is the initial population of the bacteria.
b) the 1.8 is the rate of growth.
c) Now we have the equation:
b(t) = 1000*(1.8)^t
In this case, 1000 will represent the initial population of bacteria for this second study.
And the difference between the 1200 for the first study, and the 1000 for this second study, means that for the first study the initial population of bacteria was larger. (200 units larger).
Linear pairs add up to 180 degrees.
x=4y-5
x+y=180
Substitute x
4y-5+y=180
5y-5=180
5y=185
y=37
Plug the y value in
x+37=180
x=143
Final answer: angle 1= 143 degrees, angle 2= 37 degrees
