Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer:
Step-by-step explanation:
So, according to the law of Sines, we have

In our case, we have S and R, so...

And we want to isolate R...

the angle of R is then 75.90 degrees.
Answer:

Step-by-step explanation:
This scenario can be modeled using an exponential growth equation.
The exponential growth equations have the following form:

Where P is the population in year t
p is the initial population at t = 0
r is the growth rate
t is the time in years.
In this case we know that the current population is 13,000 and that the growth rate is 11%
So

The equation that models this scenario is:


Answer:
$126,980
Step-by-step explanation:
Given the equation C = 2.32N + 34,180 where 'C' is the cost of raising a child and 'N' is the income. If the Corlone family has an income of $40,000, you can use this value for 'N' and solve for 'C':
C = 2.32(40,000) + 34,180
C = 92,800 + 34,180
C = $126,980