Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age of his sister. Miguel is 65 years old, write an equation to find Paula’s age, p (in years).

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.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

what is the answer?