Answer:
There are 9 boys in the choir
Step-by-step explanation:
To solve this, create two equivalent fractions with the information given
boys 3 x
------- = ------ = ------
girls 4 12
Then, cross-multiply
4x = 3(12)
4x = 36
x = 9
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
The answer is Lucy should be allowed to drink 1.25 ounces a day.
Answer:
Step-by-step explanation:
11x - 2° = 75° ( being corresponding angles )
11x = 75° + 2°
11x = 77°
x = 77°/ 11
x = 7°
hope it helps :)