Answer:
P = (65 - R) / 60
Step-by-step explanation:
Raul's grandfather is Miguel
Raul's sister is Paula
We are given that Raul’s age is the same as his grandfather’s age minus 60 times the age of his sister. If we write this mathematically, we have that:
R = M - (60*P)
Where R = Raul's age, M = Miguel's age and P = Paula's age
We are then given that Miguel is 65 years old, this means that M = 65
=> R = 65 - 60P
To find Paula's age, we make P the subject of formula, hence:
60P = 65 - R
=> P = (65 - R) / 60
We can use this expression to find Paula's age.
Answer:
47. 1 5/8
48. 1 1/12
Step-by-step explanation:
<em>47. </em>
<em>First, convert the denominators to be the same.</em>
8 1/2 minutes, Ruby's mile time, can be converted to 8 4/8.
<em>Then subtract.</em>
8 4/8 - 6 7/8 = 1 5/8
<em>48.</em>
<em>Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.</em>
1 1/4 can be multiplied by 3 to get 1 3/12. And 1 1/3 can be multiplied by 4 to get 2 4/12.
<em>Then subtract.</em>
2 4/12 - 1 1/3 = 1 1/12
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
The answer is x and y have a weak, positive correlation.
Answer:
For the question on the right, I assume b is the exponential factor, or growth factor.
Step-by-step explanation:
Linear:
You can find the equation by using two points and the equation for a line.
Exponential:
